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This is the entry and index page for a new wee project of mine: collecting sets of principles or best points about things, mainly educational things. A single combined page for convenient printing is here.
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"Tell me and I forget. Show me and I remember. Involve me and I understand."
Variously attributed to:
Aristotle; Confucius; Native american proverb; Chinese proverb; Voltaire;
Association For Experiential Education.
A Chinese Proverb on Education as interpreted by Ochiai, El-Ichiro (1993) "Ideas of equality and ratio: Mathematical basics for chemistry and the fallacy of unitary conversion" Journal of Chemical Education vol.70, no.1 p.44-46
Doing and learning: activism L-principle (public/private) My MinMan chapter Primary shcools and busy work What kind of activity? mental? varied? ... chemistry: not 2 but 3 kinds here? So what is the deep principle here? a) Deep learning and mulitple types of link? b) Specially public/private concept names <-> personal perceptual stuff c) Mental (re)processing: not just one task but several Deeper view: LBE vs. narrative Surgery: see one, do one, teach one.Confucius is the Latin form of K'ung-Fu-tze. Lived 550BC - 478BC or 551-479BC in /near Shantung: a contemporary of Buddha, 100 years before Plato. According to the library, actually said (after translation) "By three methods we may learn wisdom: First, by reflection, which is noblest; Second, by imitation, which is easiest; and third by experience, which is the bitterest." I.e. commenting on thinking, seeing, trial and error; but not on being lectured.
Is said to have said -- but I haven't been able to find any reputable source for this and it isn't in the translations of Confucius in our library -- "Tell me and I will forget, show me and I'll remember, I do and I ... ".
This at least shows that people have noticed and commented on a connection between doing and learning for a very long time. However we still don't have a clear summary or analysis of the connection.
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Alex Johnstone (see references below) pointed out that in Chemistry, students must learn in three different representations at once, and how to inter-relate each new concept or fact in all three domains:
There are several points about this.
A.H. Johnstone (1991) "Why is Science Difficult to Learn? Things are Seldom What They Seem" Journal of Computer Assisted Learning vol.7, 75-83.
A.H. Johnstone (1993) "The development of chemistry teaching" Journal of Chemical Education vol.70 no.9 pp.701-705
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The common overall point, however, is to remind us how little the technology itself does in determining whether any learning in fact occurs.
Digital asset
Learning object
Learner's activity Laurillard lists exactly 12 generic activities e.g. expression (exposition by lecture or textbook), re-expression (a student writes an essay, tries to answer a question, tries to tell another student about it), ..etc.
Tasker's and his colleagues' idea of activity is slightly different. Examples include: Explore, Describe, Apply, Observe, Represent, Refine, Review, Access, Question, Decide, Report, Reflect, Interpret, Construct, Justify, enRole, Research, React, Resolve,
The simulation program plus a worksheet for students of things to run on it, settings to try, phenomena to set up and observe, ...
Learning session Neither Tasker nor Laurillard call a lecture or tutorial or going through an online document an "activity", firstly because these are generic formats for assets (like "books" or "videos"): a specific learner task must be added to the object. Of course, skillful students (or researchers at a conference) will apply their own goals: although not always what the author intended. In particular cases however, a lecturer may tell the audience what they think the activity should be for the next bit "Now put down your pens and just think about ....". However in many cases of pedestrian practice, the actual student task in lectures is not thinking nor learning, but collecting material for later possible learning.
Sitting down a learner with tutor and a set of coloured tiles: in one case, 10 tiles of fully saturated hues. They are asked to arrange them in any order that seems logical to them. When they finish, the tutor will ask what is the rationale for their arrangement; and (if it isn't the arrangement in fact eventually required) ask them probe question e.g. (if this learner put them in a straight line) "Could the two tiles at extreme ends from each other in fact have been placed adjacently?"
Learning design
Tasker's own
example schemata for learning designs include:
But a more classic design might be:
The use of the coloured tiles (whether on a tabletop, or in a 3D digital modelling package) is part of a design where the learner is given a sequence of about 10 tasks, arranging subsets of colours and then merging arrangements, and then finally placing them on a skeleton sphere to form the Runge sphere (the hue, saturation, brightness 3D colour space).
Pulling this together: it constitutes in another form the more abstract theoretical point that the learners who do best are generally those who already know the most, using their partial knowledge to gain access to the meaning of new material, and their stock of open questions to direct what they want to learn from it. An expert sees what is interesting where a layperson notices nothing. Having said that, the best interactive museum exhibits succeed in drawing in a wide variety of people: but these are rare.
Tasker's 4-way distinction first makes the point that technology alone causes no learning. Secondly, it offers a first way to break down the extra work that needs to be done, and so makes a start at planning for it by giving a framework for understanding what needs to be added to naked technology or media. As I say, it is a lesson that has been painfully rediscovered again and again. Tasker's is the clearest and furthest developed statement of this core point that I have come across.
See also Barney Dalgarno paper
A starting motivation for him was Alex Johnstone's identification of a key bottleneck for students learning chemistry: learning in three different representations at once and how to inter-relate each new concept or fact in all three domains: the macroscopic (e.g. how chemical phenomena appear to the senses, colour, smell, etc.); the formal or representational (the equations used to represent reactions); and the "submicro": the invisible but 3-dimensional world of molecule's shapes and their dynamic motions, interactions, and kinetics. The third of these is generally the hardest for students, and least well dealt with in teaching.
This identified a strategic educational problem in chemistry, and Roy took it on. His key idea for a solution was to develop computer animations that can show the shapes and motions of molecules, together with skilled tutorial dialogue to get students to see the problems with their assumptions and prior conceptions for which the animations offered insight.
The "patter" that came with the computer animations is actually highly skilled socratic dialogue. For me the demo Roy once gave me in 1993? was a notable learning experience, and an exemplar I have always remembered about a mode of learning. I currently am involved in a project that in my mind was inspired by this, although in a very different area (colour theory): creating an effective learning experience around visual exercises and demonstrations, and socratic dialogue from a human tutor that guides the learner into recognising and confronting latent problems in their pre-existing partial knowledge.
But personal human 1:1 tuition isn't cost sustainable. So Roy had two aims for the next decade of work: more simulations and animations (generalising his early exemplars to cover more of chemistry teaching); and how to replace himself as part of the package. His distinctions above reflect part of his growing analysis and understanding of what he was value-adding to the software itself.
There is a recent PhD thesis supervised by him on this stuff:
Rebecca Dalton (2003)
The development of students' mental models of chemical substances and
processes at the molecular level
(University of Western Sydney). Available online:
type in "Dalton" in the author box.
This area (of using computer animations to teach aspects of science) can raise the need for another set of distinctions e.g. between animations and simulations. A rough go at these might be:
Having said that, every simulation is only realistic about some properties, and not others that it doesn't attempt to model.
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Most work on new ways of teaching or boosting learning fails to control for really basic causes. In one way this doesn't matter: from the practical viewpoint of helping learners and increasing learning it doesn't matter whether you fool yourself or even fool the learners. But from the viewpoint of improving theory we would like to know what the real underlying causes are. Three keep recurring. The point is that so very many "new" ideas and methods cause one of these to increase. And very, very few tests or evaluations of ideas control for these.
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Arthur W. Chickering and Zelda F. Gamson (1987) "Seven principles for good practice in undergraduate education" American Association of Higher Education Bulletin vol.39 no.7 pp.3-7 Online version
These seven principles are widely respected at least in the USA. Note that they all can all be applied to assessment, not just to wider aspects of education. Here they are in brief (see links below for exposition).
They also list "six powerful forces in education":
Here are some more links to them:
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Bloom's taxonomy originated in an attempt to make assessment more systematic, though it is expressed as being about different types of learning objectives. It is particularly useful, as intended, for help in designing tests e.g. MCQs (multiple choice questions), since we tend to assume that MCQs can only test rote learning, but with care you can test much "higher" kinds of learning. My own interest is in learning and teaching in HE (Higher Education). The commentaries at the end probably show that focus, and may not have the same force in relation to school (K12).
Bloom's taxonomies have since been revised, above all by Anderson, Krathwohl et al. (hereafter "A&K"), and this page's first aim is to summarise those revisions for reference. If you are going to use Bloom's taxonomy today, you need to be aware of, and probably to use, the revised ones. However there is naturally the question of how useful such an old idea (more than 50 years old) still is, so the second aim here is to sketch an evaluation of that.
N.B. The taxonomy is what Bloom is most often cited for; however more important for improving learning and teaching in HE is probably his Mastery Learning work.
|
1) Multi-dimensional Bloom: domains of knowledge: (Levels X domains) | ||||||||||
| level | Old (Bloom) | Cognitive (new, A&K) | Affective | Affective2 (Norman Reid) | Psycho-motor | Psychomotor2 (e.g. dance) | Perceptual (me) | |||
|---|---|---|---|---|---|---|---|---|---|---|
| 6 | Evaluation | Creating | - | World view | - | Communicative movement | Create complex perceptions in others | |||
| 5 | Synthesis | Evaluating | Characterising by value or value concept | Values | Naturalisation | Skilled moves | Complex scene understanding | |||
| 4 | Analysis | Analysing | Organising and conceptualising | - | Articulation | Physical abilities | Connoisseurship, classify perceptions | |||
| 3 | Application | Applying | Valuing | Attitudes | Precision | Perceptual abilities | Active perceptual skills | |||
| 2 | Comprehension | Understanding | Responding | Beliefs | Manipulation | Fundamental movements | Recognise novel cases | |||
| 1 | Knowledge | Remembering | Receiving | Knowledge | Imitation | Reflexes | Recognise standard cases | |||
| 0 | Understanding language | Understanding language | Feeling | - | Moving | Moving | Sensing | |||
|
2) Multi-dimensional neo-Bloom: types of knowledge [Levels X types, for cognitive domain only] neoBloom scheme in old Bloom table format. | |||||
| level | Processes (internal, mental) | Factual | Conceptual | Procedural (external behaviour) | Metacognitive |
|---|---|---|---|---|---|
| 6 | Creating | Combine | Plan | Compose | Actualise |
| 5 | Evaluating | Rank | Assess | Conclude | Action |
| 4 | Analysing | Order | Explain | Differentiate | Achieve |
| 3 | Applying | Classify | Experiment | Calculate | Construct |
| 2 | Understanding | Summarise | Interpret | Predict | Execute |
| 1 | Remembering | List | Describe | Tabulate | Appropriate use |
|
3) A&K usual presentation of the 2 dimensions as a blank table to use in analysing a course | ||||||
| Cognitive process dimension Increasing mental complexity of processing → | ||||||
| Knowledge (type) dimension: ↓ increasing abstractness ↓ |
1 Remember |
2 Understand |
3 Apply |
4 Analyse |
5 Evaluate |
6 Create |
| Factual | ||||||
| Conceptual | ||||||
| Procedural | ||||||
| Metacognitive | ||||||
|
4) A&K example use The definitions of each objective etc. for the course being analysed are normally given in footnotes or a key to the table. | ||||||
| Cognitive process dimension Increasing mental complexity of processing → | ||||||
| Knowledge (type) dimension: ↓ increasing abstractness ↓ |
1 Remember |
2 Understand |
3 Apply |
4 Analyse |
5 Evaluate |
6 Create |
| Factual | Objective1, Activity1, Assess3 |
|||||
| Conceptual | Activity1 | |||||
| Procedural | Activity3 | Objective3, Activity3, Assess1 |
||||
| Metacognitive | Objective2, Activity3 |
|||||
| 5) A&K filled with verb-noun phrases | ||||||
| Level: | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Processes (internal, mental): | Remembering | Understanding | Applying | Analysing | Evaluating | Creating |
| Factual | Remember facts | Understand facts | Apply facts | Analyse facts | Evaluate facts | Create facts |
| Conceptual | Remember concepts | Understand concepts | Apply concepts | Analyse concepts | Evaluate concepts | Create concepts |
| Procedural (external behaviour) | Remember procedures | Understand procedures | Apply procedures | Analyse procedures | Evaluate procedures | Create procedures |
| Metacognitive | Remember metacognitive items | Understand metacognitive items | Apply metacognitive items | Analyse metacognitive items | Evaluate metacognitive items | Create metacognitive items |
|
6) A&K filled with keywords invented by others This is a transposed version of table 2 | ||||||
| Level: | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Processes (internal, mental): | Remembering | Understanding | Applying | Analysing | Evaluating | Creating |
| Factual | List | Summarise | Classify | Order | Rank | Combine |
| Conceptual | Describe | Interpret | Experiment | Explain | Assess | Plan |
| Procedural (external behaviour) | Tabulate | Predict | Calculate | Differentiate | Conclude | Compose |
| Metacognitive | Appropriate use | Execute | Construct | Achieve | Action | Actualise |
|
8) Definitions of processes or levels? -- my rationale / restatement of the levels i.e. of the first dimension N.B. A&K call the set of 6 levels the dimension of cognitive processes | |||
| level | Processes, internal A&K redefinition of Bloom levels as internal mental processes |
Procedural, external Examples of A&K's Procedural knowledge type (external behaviour) |
New definition (me) |
| 7 | - | - | Create new categories, concepts, or rules |
| 6 | Creating | Compose | Generate a new complex case from old elements |
| 5 | Evaluating | Conclude | Weighted overall judgement of several given complex cases, relating elements |
| 4 | Analysing | Differentiate | Break down a given complex case into known elements |
| 3 | Applying | Calculate | Apply old knowledge to new cases (transfer across cases) |
| 2 | Understanding | Predict | Paraphrase (transfer across descriptions) |
| 1 | Remembering | Tabulate | Name, recall, and reproduce (elements, relationships) |
| 0 | - | - | Understanding language |
A&K however show the 6 levels horizontally, with the more complex to the right. Table 3 shows them this way.
Table 2 is intermediate: it shows the basic A&K 2-D scheme, but in the old orientation.
The A&K ordering of the levels is used in the various A&K tables above.
The last table (8) (which uses the A&K ordering) addresses a question of the processes. The A&K labels refer to internal, mental ("cognitive") processes. There are corresponding external behavioural tasks, which are examples of A&K's "procedural knowledge type", and which you might require learners to do for instance in an assessment: shown in col.3. A longer definition of what I imagine these intellectual operations really mean is offered in the last column.
Thus A&K are fully aware that language is at best a partial clue to classifying
objectives. In their main vignettes they often discuss this, and end by
re-classifying an ILO from where they had first assigned it. Against this is
a strong desire many of us feel to summarise every category by a single
mnemonic word label -- specially useful when you are scanning a whole table
trying to get an overview, to reflect on contrasts and coverage. This web
page is primarily motivated by a desire to find or create such a useful visual
overview, and it leads to a use of 1-word labels. This is however dangerous,
problematic, and leads to many errors. A&K did NOT do this.
Metacognition
For A&K, the knowledge type of metacognition is not the aspect of
metacognition about self-regulation, not about managing one's learning; but
is knowledge about the knowledge, about managing the application of each bit
of knowledge. E.g. for arithmetic division, you can divide any two numbers
except you mustn't divide by zero; the part-whole skill training issue that
there is extra knowledge in how to connect the parts; near and far transfer
issue is that there is extra knowledge in how to apply knowledge to each new
case/context.
They subdivide it into:
Johnstone's categorisation of types of problem-solving subverts it in another way. Problem-solving is close to the heart of assessment tasks in science, but instead of classifying them as a developmental sequence with 6 levels, Johnstone suggested there were 8 types (only 2 of which were widely seen in teaching), made up of all combinations of 3 binary properties: whether the data were given or incomplete; whether the outcomes or goals of the task were given or "open" (decided by the learner before or during the task); and whether the methods were familiar or unfamiliar.
| Types of problem for solving (Johnstone 1993) | ||||
| Type | Data | Methods | Outcomes/goals | Skills bonus |
|---|---|---|---|---|
| 1 | Given | Familiar | Given | Recall of algorithms. |
| 2 | Given | Unfamiliar | Given | Looking for parallels to known methods. |
| 3 | Incomplete | Familiar | Given | Analysis of problem to decide what further data are required. Data seeking. |
| 4 | Incomplete | Unfamiliar | Given | Weighing up possible methods and then deciding on data required. |
| 5 | Given | Familiar | Open | Decision making about appropriate goals. Exploration of knowledge networks. |
| 6 | Given | Unfamiliar | Open | Decisions about goals and choices of appropriate methods. Exploration of knowledge and technique networks. |
| 7 | Incomplete | Familiar | Open | Once goals have been specified by the student these data are seen to be incomplete. |
| 8 | Incomplete | Unfamiliar | Open | Suggestion of goals and methods to get there; consequent need for additional data. All of the above skills. |
Johnstone,Alex. (1993) "Introduction" in Creative problem solving in chemistry: Solving problems through effective groupwork (London: Royal Society of Chemistry)
It is particularly useful for help in designing MCQs (multiple choice questions), since we tend to assume that MCQs can only test rote learning, but with care, you can test much "higher" kinds of learning.
The helpfulness is generally by associating each Bloom category with keywords and using these to prompt a teacher's imagination. This operation works with teachers who apply masses of commonsense when using the prompts. However the inverse operation works very badly: scanning text for the keywords and automatically classifying with the Bloom level, because English isn't simplistic like that.
In fact the "level" of a question actually depends on the processing it triggers in the learner's mind, and not on the words. Brain teasers (e.g. Mazur's "ConcepTests") have the surface form of simple factual questions, but trigger deep thinking about reasons for and against.
|
Steve Brindley's check list for learning designs (brindley@physics.gla.ac.uk) | ||
| Intellectual aims and goals | Practical aims and goals | Attitudes and interests |
|---|---|---|
| Recall previous work | Lab observations | Individual / group work |
| Problem recognition & awareness | Record data | Safety consciousness |
| Problem solving | Communication/ discussion | Personal context |
| Hypotheses, Prediction, Test | Using powers of observation | Practical problem solving. |
| Generate ideas | Using equipment | Experimental learning |
| Following practical instructions | ||
| Recording facts / ideas in words | ||
| Manipulating equipment | ||
Bloom taxonomy levels don't really work; particularly not for classifying test questions.
In fact the "level" of a question depends on the processing it triggers in the learner's mind, and not on the meanings of the words, let alone their surface form.
In fact, especially in HE, each discipline typically has a core test activity type e.g. essay writing in History, problem solving using calculations in physics. These are usually a fairly good match to the Bloom level demanded, inherently requiring high level cognitive functioning; although the highest marks may require additional functioning that is not explicitly required by the question i.e. the student must know the implicit demands of the discipline (see below) e.g. whether to display originality or not, whether to redefine the exam question or whether this will be penalised.
Here's where good examples would fit, referring to the "level of a question".
For instance: In school biology (since Bloom's time) it has become compulsory for pupils to learn to distinguish in photomicrographs and diagrams eukaryote from prokaryote cells; animal from plant cells, etc. A physician must be able to recognise a disease in a patient, not just talk about it to other medics. A student of chemistry should know what gold looks like compared to copper. These things are taught and assessed. Bloom's taxonomy misses their important place, and A&K perpetuate this major omission.
In using a checklist to review a course's content and assessment, I would always look at what connection it makes to students' personal experience, and especially to perceptual experience and skills.
The above are educational arguments why splitting motor from perception is a blunder. It was an old-fashioned psychological tradition to split them; but one that is regarded as wrong by some important cognitive approaches since Bloom e.g. J.J.Gibson, and work on robotics. You can't build a practicable robot by splitting them: Rodney Brooks argued and demonstrated that you have to have layers each of which have both sensning and motor action, distinguished by how fast (but stupidly) they can respond.
My impression is that there is no good work on this domain; and that defining a domain as motor without perception is a serious error both educationally and psychologically.
For instance, Arts schools (which at least in the UK award HE degrees), require for admission, in year 1, and in all exercises, that students exhibit different compositions from each other: i.e. they demand "creativity", the top Bloom level, pervasively. In contrast in psychology (for instance) students are drilled in an impersonal and conformist voice, not to put their own experiences forward as evidence, to produce the right answer not a creative one. Creativity is explicitly penalised.
The old Bloom hierarchy put Evaluation at the top, above synthesis. That aligned with the view that the best paid jobs were executives, filtering what was offered by underlings to select the best things for the bosses' needs. As in the Renaissance, artists were relatively low paid employees. A more romantic view, expressed in the revised taxonomy, puts a higher value on creativity. Yet this fails to distinguish the synthesis a plumber shows (selecting a novel combination of off-the-shelf pipe and joint elements to suit a unique need) from the creativity described in product design texts, where design is not about assembling existing components, but finding a design that optimises multiple conflicting demands (that the product be cheap, be functional, be easily assembled, be easily cleaned, .....).
In chemistry you will need to reproduce the symbol "W" for Tungsten, and paraphrasing that as "Wolfram" (which would demonstrate historical understanding) will be penalised: rote reproduction of the symbol is required. In many other disciplines however paraphrase will be a required demonstration. Not only does this show a difference in values between disciplines, but it would not be stated in test questions for chemistry: students must know this value.
History as a discipline can usefully be considered as a training in writing "the History essay". Students will eventually be expected to take the question, redefine it (and state and justify their own redefinition), relate it to theories (probably to more than one) thus demonstrating "applying" and "analysing", and produce a weighted evalution. But they will get the highest marks by arguing a hypothesis of their own (demonstrating "creating") although it would never be called that. However in many other disciplines, this would be penalised as "not answering the question". This is not because Bloom is right and all academics across the world are wrong: it is because there are different values in different discipines, and Bloom's taxonomy does not and can not represent this.
According to A&K, Bloom was aware that discipline area matters and said as much in writing. In that case, this criticism is not that they missed noticing the issue, but that their continued failure to address it does indeed undermine the whole enterprise.
What is bad about it includes the points above, such as its neglect of perceptual learning, and its denial that different discipines require different kinds of thinking. And that even if the taxonomy is valid, it is a taxonomy of invisible aspects of learners' minds, and we cannot systematically and reliably translate this into question formats or other concrete teaching and learning activities.
Its connection to improving teaching really amounts to a corrective for the pervasive tendency to design courses around "covering content", and instead prompts teachers to devote course time and effort to the mental tasks that are central to a given discipline: these are not merely higher types of cognitive processing than rote learning of answers, but more generally are what feedback and tutoring need to be concentrated on. (Content largely takes care of itself.) These are different in different disciplines, but what is common is the need to focus learning objectives, tests, and staff time on something more than reproduction of content.
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(See also the wikipedia entries on: the DIKW model and wisdom.)
Where is the wisdom we have lost in knowledge?
Where is the knowledge we have lost in information?
T. S. Eliot, The Rock (1934)
The sequence in brief:
|
Another sequence, by Frank Zappa:
|
There is a sequence or hierarchy:
Professor M.E. McIntyre: [something like] "I always tell my students that understanding means seeing it from more than one viewpoint, and making it all consistent: in words, equations, diagrams, pictures." (See also his ideas on lucidity.)
Malcolm Gladwell: "The key to good decision making is not knowledge. It is understanding. We are swimming in the former. We are desperately lacking in the latter."
But von Neumann: "Young man, in mathematics you don't understand things, you just get used to them."
Judgement: being able to function well with large amounts of uncertainty. Being able to make judgements that are correct, even though not grounded on exhaustive knowledge and understanding. If wrong they are prejudice and bigotry; if right they are wisdom. In fact the first thing you need to learn about a new area you are entering is the often unpublished, perhaps seldom spoken of, orientations and value judgements of the current practitioners. Without this, you cannot operate, you can't distinguish what you should learn and what you should ignore. We might call this wisdom too.
At this point, we might suggest that wisdom is being right without comprehension: the opposite of Aristotle (but in line with the phrase "the wisdom of crowds", which is about how accurate the average of guesses can be even when non-one understands it).
Essentially, then, the flavour of all the earlier steps in this progression is of building certainty from empirical sense data; but wisdom is referring to an ability to think and act successfully beyond this: when deduction is inadequate (uncertainties in the inputs), and/or when values or goals conflict with each other. Or perhaps, this is what Gladwell meant about understanding w.r.t. decision making.
Larry Niven suggests that wisdom is knowledge plus the skill to use what you know. Taken literally that would just mean having both the theory and practice, both the declarative and the procedural aspects of something. But he probably meant (in the story context in which it appeared) something like the higher level strategic skill of knowing when to apply something, rather than how. For instance, almost all of us know how to keep quiet, and how to explain ourselves: but it's much more difficult to choose which of these is best to act on in every situation.
This is exactly what Anderson, Krathwohl et al. mean by "metacognition" in their revision of Bloom's taxonomy. Their idea of what metacognitive knowledge is, is not just knowing a rule (having a skill) but knowing when and when not to apply it. Perhaps this is wisdom. The difference between the written law, and the decisions of a judge.
Another take on this might say that wisdom is being able to select, not just a possible action, but the one that best satisfies many "passive" criteria as well e.g. will not only work but annoy the fewest, cost the least, be the least aesthetically offensive etc. Another aspect though is to recognise when simple ideas of low immediate "cost" should be ignored in favour of a change that while disruptive in the short term is better in the longer term.
There is a psychology of wisdom [sample references are: Sternberg,R.J. (ed.) (1990) Wisdom: its nature, origins and development (New York: CUP) Staudinger,U.M. (1999) "Older and wiser? Integrating results on the relationship between age and wisdom-related performance" International journal of behavioral development vol.23 pp.641-664 ] Their take on wisdom is that it involves skill at reasoning around great uncertainty, on long time scales (not just short term solutions), around values (selecting, in a given problem, the issues that matter the most).
"The art of being wise is the art of knowing what to overlook." (William James)
Or just this:
"Every man is a damn fool for at least five minutes every day. Wisdom
consists in not exceeding the limit." (Elbert Hubbard)
Being: the thought here is that beyond knowing skills (knowledge), and knowing when and when not to apply them (wisdom = metacognition), is the integration or incorporation of all that into a way of being that is also an identity. Lee Shulman speaks of this as a component of what is learned in a professional training or education (for law, medicine, etc.). This may mean an integration of one's values and impulses in line with one's thoughts, beliefs, and actions. Your way of being / way of life; where your desires, goals, impulses are fully integrated and aligned with your actions and beliefs. This is an existential statement or view. And it seems to mark the end of learning, or of the need for significant further development.
If this means anything, it might be about: (1) (not) knowing what we know or remember cf. being surprised we can remember something. (Issues of metamemory.) (2) A facet or consequence of the way we "know" things at two or three levels, which are usually but not entirely aligned in our minds. Examples of this include a) procedural (behavioural) knowledge vs. declarative (conceptual) knowledge; b) inconsistencies (recorded in studies of science concepts in school children) between behaviour, predictions, explanations; c) Activity Theory's distinction between Activities, Actions, Operations.
"Education makes us more stupid than the brutes. A thousand voices call to us
on every hand, but our ears are stopped with wisdom."
- Jean Giraudoux
Perhaps this uses 'wisdom' in the metacognitive sense, but refers to cases
where it is inaccurate.
Knowledge has been defined as true, justified, belief. But in actual English usage, from a Socratic perspective, and from a child development viewpoint, this is back to front. We say we know something when we hold a proposition we believe is true but are not thinking of any grounding or warrant for it. When its truth is in doubt, then we mark this by saying "believe": in ordinary discourse, we only say we "believe" something if we want to draw attention to the idea that it may be false, whereas if we are just taking something as given, we say "know". A very young child cannot grasp that other people may not know the same things as they do: when they start to be able to handle this, then we talk of them having acquired a "theory of mind"; i.e. of tagging things they know according to who else knows or believes them. It is sometimes claimed that those suffering from autism cannot do this (they can only know, not believe). In fact, to say we believe something is to say we are holding in mind a proposition whose truth or falsity we are able to reason about. In other words, we are able to think critically about it. This is knowledge plus doubt; and is more advanced than simply relying on propositions we are unable to question.
In general, then, "belief" marks going one step beyond knowledge, to a "theory of mind", "truth maintainence system", "reason maintainence system", "critical thinking". That is, not simply remembering facts i.e. what is true, but the reasons for believing it and/or who believes it.
However for me, this began with reading Dretske's book on what information was. The enduring point this left me with, was that the technical definitions of information (important in computing and in physics) particularly in communication are dependent on a pre-existing knowledge. Dots and dashes only mean something when sender and receiver have pre-agreed that they are using Morse code, and so on. So information is useless, or rather non-existent, without prior knowledge of the alternatives and of how these differences appear in the data.
If we consider the progression of stages data → information → knowledge → ... from left to right, then the right hand stage at each step extracts new value from the left, but only by virtue of assuming another kind of thing in advance. Essentially, then, the flavour of all the earlier steps in this progression is of building certainty from empirical sense data; a model of perception; "bottom up" construction. Yet it depends on pre-existing certainties, presupposed true but/and not tested or learned by the left to right flow. In this way the assumptions are like the knowledge vs. belief distinction: stances about what is being assumed at a given moment, rather than any absolute status.
There is a converse to this: whenever you have to learn not a new item, but a new field e.g. when you switch research fields or start learning a completely new subject, then what you as a learner most needs is a working set (however simplified) of these assumptions without which little can be done. This is a top down direction of travel or priority; and is one way of explaining the importance of teachers: not to communicate lots of data, but to install assumptions that allow learning to begin, and to progress efficiently. E.g. "don't run before you can walk", "don't bother looking at X it's beside the point", ... Installing these assumptions in a learner equips them, not with conclusions, but with the means to interpret and so self-teach the area.
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Ackerman's idea of an answer garden is to grow an FAQ through (social) interaction. The administrator creates (and periodically must re-design) a taxonomy tree for the area. The user with a query navigates the tree trying to home in on an answer to their question. Either they find a tip/leaf with the answer, or at that tip they post their question. An expert is associated with each subtree, and receives any query posted within it. They reply, and their answer goes both by email to the questioner, and on to the tree for future users.
Sloep's idea is that the user with a question simply expresses it in free text. Software analyses it using "latent semantic analysis" (similar to the full text indexing behind search engines) and matches it to stored library of documents (explained in a moment). The output will be not an answer but a new wiki, seeded with the question, with members consisting of the questioner plus a small number of senior students. The latter have been picked by looking at their records for courses they have done, and machine analysis of documents associated with the course contents. Perhaps, plus information about whether they are online at the moment, if there are lots of students, and to give it an "instant messaging" aspect. (Actually, they have more sophisticated ideas than this: see Kester et al., 2006.)
There are a million variations one can think of.
Terry Mayes
suggests that the wiki itself is a documentary trace that can be the
basis of awarding marks to contributing students: it shows and measures
engagement. Students volunteering could write a short piece about what they
had found most interesting about the course, which would be one of the
documents feeding into the LSA. Could seed the wiki not only with the
question, but with the wikipedia (or other web search) entry.
However the full web2.0 spirit suggests that this idea will work much better with a huge population, not a small isolated course. And that it will be much more appealing to questioners if the response is more or less immediate, which again suggests a huge population and using "being online" as a selection mechanism. It means then that the mechanism could satisfy Illich's vision of learning as depending on an instant ad hoc community (for learning), not some geographical or institutional one. Anyone learning about anything could post a query and find just a handful of people able, willing, and available to chat about it.
Might be worth trying on big first year courses. We have 600 in our psychology level 1 classes. That means there are about 1800 students at the university who did that course in the past, and might have an impulse to answer a few simple questions now and then.
Liesbeth Kester, Peter van Rosmalen, Peter Sloep, Francis Brouns, Malik Kon & Rob Koper (2006) Matchmaking in Learning Networks: Bringing Learners Together for Knowledge Sharing
This compilation assembled on 29 Mar 2005 .
This is the entry and index page for a new wee project of mine: collecting sets of principles or best points about things, mainly educational things. A single combined page for convenient printing is here.
"Tell me and I forget. Show me and I remember. Involve me and I understand."
Variously attributed to:
Aristotle; Confucius; Native american proverb; Chinese proverb; Voltaire;
Association For Experiential Education.
A Chinese Proverb on Education as interpreted by Ochiai, El-Ichiro (1993) "Ideas of equality and ratio: Mathematical basics for chemistry and the fallacy of unitary conversion" Journal of Chemical Education vol.70, no.1 p.44-46
Doing and learning: activism L-principle (public/private) My MinMan chapter Primary shcools and busy work What kind of activity? mental? varied? ... chemistry: not 2 but 3 kinds here? So what is the deep principle here? a) Deep learning and mulitple types of link? b) Specially public/private concept names <-> personal perceptual stuff c) Mental (re)processing: not just one task but several Deeper view: LBE vs. narrative Surgery: see one, do one, teach one.Confucius is the Latin form of K'ung-Fu-tze. Lived 550BC - 478BC or 551-479BC in /near Shantung: a contemporary of Buddha, 100 years before Plato. According to the library, actually said (after translation) "By three methods we may learn wisdom: First, by reflection, which is noblest; Second, by imitation, which is easiest; and third by experience, which is the bitterest." I.e. commenting on thinking, seeing, trial and error; but not on being lectured.
Is said to have said -- but I haven't been able to find any reputable source for this and it isn't in the translations of Confucius in our library -- "Tell me and I will forget, show me and I'll remember, I do and I ... ".
This at least shows that people have noticed and commented on a connection between doing and learning for a very long time. However we still don't have a clear summary or analysis of the connection.
Digital asset
Learning object
Learning activity Laurillard lists exactly 12 generic activities e.g. expression (exposition by lecture or textbook), re-expression (a student writes and essay, tries to answer a question, tries to tell another student about it), ..etc.
Tasker's idea of activity is different. Examples include: Explore, Describe, Apply, Observe, Represent, Refine, Review, Access, Question, Decide, Report, Reflect, Interpret, Construct, Justify, enRole, Research, React, Resolve,
Neither call a lecture or tutorial or sitting through an online document an "activity".
Learning design
Roy's own
example schemata for learning designs include:
But a more classic design might be:
The above is a framework for understanding what needs to be added to naked technology or media. As I say, it is a lesson that has been painfully rediscovered again and again. Tasker's is the clearest and furthest developed statement of this core point that I have come across.
Alex' paper. xref. state it here and there.
A key educ problem. What could be done about it?
Simulations.
The "patter" that came with it: actually highly skilled socratic dialogue. For me the demo was a notable learning experience, and an exemplar I have always remembered about a mode of learning. I currently am involved in a project that in my mind was inspired by this, although in a very different area (colour theory): creating an effective learning experience around visual exercises and demonstrations, and socratic dialogue from a human tutor that guides the learner into recognising and confronting latent problems in their pre-existing partial knowledge.
But personal human 1:1 tuition isn't cost sustainable. So Roy had two aims for the next decade of work: more simulations and animations (generalising his early exemplars to cover more of chemistry teaching); and how to replace himself as part of the package. His distinctions above reflect part of his growing analysis and understanding of what he was value-adding to the software itself.
Most work on new ways of teaching or boosting learning fails to control for really basic causes. In one way this doesn't matter: from the practical viewpoint of helping learners and increasing learning it doesn't matter whether you fool yourself or even fool the learners. But from the viewpoint of improving theory we would like to know what the real underlying causes are. Three keep recurring. The point is that so very many "new" ideas and methods cause one of these to increase. And very, very few tests or evaluations of ideas control for these.
Arthur W. Chickering and Zelda F. Gamson (1987) "Seven principles for good practice in undergraduate education" American Association of Higher Education Bulletin pp.3-7
These seven principles are widely respected at least in the USA. Here they are in brief (see links below for exposition).
Here are some links to them:
XXXX
There is a sequence or hierarchy.
Correlation and causation. A -> B B -> A C -> A, B A <-> B, so doing either one will increase the other.
Absence of evidence is not evidence of absence. How to show no-difference convincingly.
It is often said that innovations or new practices are taken up in an S-shaped or sigmoid curve. That is, there are broadly three phases. First just a few take it up: early adopters, the first few percent, over a long slow initial period of low usage; the first low slope of slow increase, and low total use. The third phase is also a low slope and slow increase, but high total use: these are the last reluctant ones. The second, middle phase has a high slope of rapid increase.
This view is attributed to Everett M. Rogers, and is described in his textbook "Diffusion of Innovations" (1962; 4th edition dated 1995; The Free Press; New York) e.g. ch.1 p.11 fig.1-1.
In fact you will get a sigmoid curve for cumulative adoption if the underlying rate of new adopters (new adoption events) forms a normal distribution (and if there is no significant rate of people dropping the innovation).
Rogers also talks of pro-innovation bias: from the tendency to study only those innovations that in fact did spread and become ubiquitous. Clearly such cases are no guide to what determines uptake in general.
Generating feedback to students
What course feedback from students tells you
A rare case where pictures actually do tell a story without a single word.
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Often in learning, you are really only learning how to talk about and reason with a new idea. However when you are learning a new approach to existing habits (e.g. a management course for managers; a slimming course for eaters; a safety course for lab technicians who have already years of experience), then there are 3 parts to the learning: getting the ideas, going over your familiar environment learning how to recognise how the ideas apply to it, going over your familiar behaviour and deciding how and when it must now be different.
Standard impoverished HE teaching really only addresses the learning and teaching of new concepts at the public, general, abstract level. The learner, if good, will be able to recall and use the main terms, and explain what they mean in both formal and paraphrased ways; and perhaps apply them to examples of the kind dealt with in the textbooks. In some cases, this then has no impact: someone may go to such a course, but their managers may be dismayed that it has no effect on how they do their job.
The point is for any activity where we are already reasonably experienced and practised, we do not think out what we do from first principles, but rely on "habits" and practised ways of acting. Merely learning new concepts does not itself touch our behaviour nor perception. If we want the new concepts to touch our behaviour or perception, then we need to specifically exercise these in connection to the new ideas.
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Brenda Smith (from the HE academy) selects these 4 from Romer's 12 principles.
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| Correlation is not causation (but it sure is a hint). |
Correlation is a big hint about causality, but it is ambiguous, and mistakes are frequently made. If A is correlated with B, then all five of these relationships are equally possible, given only that evidence.
It is particularly misleading when the time delays involved are consistent with one direction of causality, but not the other; yet a third factor is actually prior to and causing both.
What is also misleading is when these cases are reported with no statement about causality made, leading to almost all readers drawing the false, or at least unwarranted, conclusion the writer wanted.
Case 1. School children who are involved with employers (e.g. in work experience) before they leave school are more likely to end up employed. (But the factors that make a child more likely to participate in these schemes may cause both participation and then success at job seeking e.g. liking work, being stimulated by environments outside the home, not having to stay home to care for relatives.)
Case 2. Big budget movies which are promoted at the Superbowl gross about 40% more than those who don't. (But having more money for promotion predicts success; and so perhaps does appealing to the kind of audience that watches the Superbowl.)
Conversely, there can be complete determination by definition, yet zero correlation because correlation is a linear relationship. E.g. as in the equation y = {x × x} or y = {x^2} .
As Tufte observes (following David Hume), it's more accurate to say:
|
On the other hand:
Reliability (i.e. correlation over time) is no predictor of how easy or likely something is to change.
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Introduction
Personally, I've had a long dislike of the notion of "creativity".
My values are truth (for pure research), and utility (for applied fields);
but creativity is defined in terms of novelty. Novelty has nothing to do with
whether something is a good idea or an effective technique; neither does
who should get the credit for it.
However various things have combined to make me jot down a few basic ideas a)
to orient myself in this topic; and b) to explore some connections of
creativity with education e.g. how to teach it (e.g. to engineers), and how to
assess it if you do teach it.
That personal dislike may be due to my discipline. It is important to recognise that some disciplines require their students to exhibit creativity, originality (even if in fact they don't really have any): to be different from the student next to them. Others require their students to conceal it, even if in fact they are creative; and to make it look as if their suggestions proceed from evidence or authority, not from themselves. There is no a priori reason to assume there will be or can be any agreement about creativity; not even about whether it is a good thing. The phrase "creative accounting" in fact illustrates that creativity can be criminal, and is certainly NOT a core disciplinary value in some areas e.g. those which stress reliablity, safety, accuracy.
Definitions of creativity: (N.B. should we be defining novelty, originality, or creativity?)
My summary (much like Boden's) would be that creativity must have:
Boden's view, and mine too, is that creativity consists of generating a new combination of old elements.
Note too that creativity generally refers to the idea or design, rather than to the material object created or manufactured to embody it. (A foundry worker may produce a bronze statue, but we attribute creativity to the sculptor, even though the word "create / creativity" seems to imply physical bringing into existence.)
Interlude / note Creativity vs. originality?
I saw a competition which had both of these as criteria, as if independent.
Originality is (roughly) novelty: but usually relative to a group rather than
to the inventor. (H-creativity: see below.)
Example of originality and no creativity: accidental selection from
things, objets trouvés.
Example of creativity and no originality: P-creativity
The 0th dimension: Human agency as the origin of the product or idea
Creativity vs. discovery: if a surprising and valued thing has not been
created by humans, then we say it is discovered.
In current English usage, even those who speak (religiously) of a creator, do
not seem to say that God is creative. (It would be odd to say that an
omniscient, omnipotent being surprised herself.)
We use "creative" to discuss human production, not natural or supernatural
creation. Similarly, if something is plagiarised, it might be novel to its
readers but not to the plagiariser. All this suggests that "creativity" is
about how minds surprise themselves and each other.
The 1st dimension: Utility
It is presupposed, required, that anything that is called creative is somehow
useful practically or "interesting" i.e. of value intellectually.
However it is hard to define this simply because discussions of creativity are
frequently about things whose value is only recognised, at least by most
people, later. Faraday is famously said to have replied to the question of
what good electricity was by "Madam, what good is a baby?". It illustrates
that at that time ordinary people couldn't see any application for electricity:
but he had faith in it. Conversely, many artifacts are invented and sold,
only for their users to develop new uses (new value) undreamt of by the
"inventor".
However value is not only tricky to perceive for the future, it is often different for the individual and for the group. That is, there are things that are useful and interesting to me, but not to others (my family history, my "piling system" -- my arrangement of work in superficially disorganised piles). Conversely, things of quite low quality are often very important as a whole just because so many people want them a bit that economics makes them cheap and plentiful e.g. air travel, soap operas.
In fact value is not quite independent of agency ...
Thus value is relative to the person or group, but can in principle be
objectively measured by a third party.
The 2nd dimension: Novelty
This dimension, generating the two types above, is important to
cognitive models of how a person can generate new ideas. A cognitive model
needs to be of P-creativity; and then we can explain H-creativity as
caused by the P-creativity of the first person to have that idea.
This distinction is also of great importance to education. Constructivism
asserts that all significant learning is P-creative: requiring re-construction
inside the learner's mind. And to a great extent, in our culture at least, we
define learning in terms of "transfer": i.e. the capability of doing something
with a new idea that is more than a tape recorder can: of applying it in a new
context we haven't previously considered. This has a significant element of
creativity: of being able to put the old idea and new context together in a
combination (and with consequences) that is new to the learner i.e. is
P-creative.
Thus novelty too is relative to a person or group (society), but can in
principle be objectively measured by a third party.
Social credit. An important mechanism. ....?
The 3rd dimension: Surprise
Boden's two types assume a godlike, hindsight view of whether something is
novel (to the person or mankind respectively). However also interesting and
important is whether a person perceives something they do as creative.
This is often unrelated to the actual case. For instance research in AI and
linguistics shows that many, perhaps most, sentences a person utters are new:
that person has never uttered them before. However no-one feels that this is
creative, perhaps because essentially everyone not only can do it, but does it
every day. On the other hand, feeling original ("creative") is often important
to people. What it is that determines whether people feel, i.e. judge
themselves to be, creative is an additional important topic we need to study.
This is analogous to metamemory: people's considerable, though imperfect,
ability to know whether they know something before and without actually
recalling it.
Although intuitively we associate surprise with suddenness, in reality that
is irrelevant. What defines surprise is violation of expectancy. An ambush,
no matter how suddenly fighting bursts out, is not a surprise if superior
reconnaissance has warned the intended victims. Conversely, people may be
very slow to adjust their expectations but we would still say an act was
creative even if it took years for many to accept it.
Judging whether something is creative is important to us. So
there are two more types of creativity that are subjective.
[3] SP-creativity: self-perceived creativity.
This relates to self-actualisation: when a person feels they are being
creative, creating a way of doing something that is new to them. Maslow's
notion of self-actualisation, and the use in Positive Psychology of
"creativity" as one of 24 strengths a human may have are indicators of how
important this is. Thus whether a person feels they are creative seems to be
linked to their well-being. As we have seen, this is a perception,
and has no clear relationship to available objective measures of creativity.
[4] GP-creativity: group-perceived creativity.
Group acclaim. This is when other people, one's peers, one's society
perceive you as having done something creative: i.e. novel to them and useful.
While in some respects contemptible ("just fashion"), this valuing is built on
the fundamental implicit values of all communication: to only say things that
are relevant, and a major necessary condition of relevance is that the Hearers
do not already know what you are saying. Thus (perceived) novelty is in fact
absolutely necessary to communication (otherwise we would be stalled,
repeating the endless number of things the other person already knows).
Surprise is about a clash between something we encounter and our
meta-memory-like sense of what to expect. We run our lives, not by
having exhaustive plans for everything, but by having a good estimate of the
things we need to prepare for and the things we can expect to deal with as and
when they come up. For example, many people expect to go abroad for a holiday
once a year, but probably only have plans about one year ahead: they just
assume they will be able to plan and achieve further holidays beyond that.
You can see in the press how this applies to other things. We tend to feel
that an effective flu vaccine is to be expected, and are critical when one is
not available; but we don't expect a machine that stops earthquakes to be
invented. This dimension of surprise is about not having predicted the
existence of a solution to a problem, or about the revelation of unintended
consequences (good, bad, or mixed) of some invention.
The point is that there are often some relatively short duration moments when
new implications come into view during the process of developing an idea,
rather like the way a dozen steps, out of the thousands it takes to climb a
hill, sometimes uncover (or hide) a large vista.
In design, this might be a new use (application), or perhaps realising for the
first time that there is an application at all. These estimates (surprises)
are what make it so hard both to foresee the future and to decide how much to
worry about identified problems. Surprise is a sudden shift in our
(meta-memory type) estimate of what can be developed, be expected to be doable.
See also
Rob Saunders.
He has a computational model of creativity; and it employs a kind of (a
simulation of) peer evaluation of proposed ideas that is in effect a judgement
procedure for GP-creativity (Blay says).
It seems obviously absurd to say "Columbus discovered America", not only
because Columbus died still believing he had reached Asia and never knew it
was a continent new to him, but because the continent had been there for tens
or hundreds of millions of years before humans, and humans had lived there for
thousands of years before Columbus stumbled on it, and even among Europeans
the Vikings had preceded him. But it does illustrate how important it is for
a social group, when it learns something new (cf. H-creativity); and also
that the "group" that seems important here is not a political group but in
some functional sense a community of knowledge (in this case, Europe rather than
Spain, or the profession of navigators, or ...). It also shows how creativity
is relative to a wider group: is about the entrance of knowledge to this
wider group.
In fact this case illustrates that the social group concerned must be about
sharing knowledge. Vikings seem not to have passed on their knowledge of
America effectively, and it had been forgotten.
The Chinese had in fact also sailed to America shortly before; and sent back
written accounts; but this knowledge had been suppressed in China.
Thus surprise is relative to a person or group; but it is doubtful if
it can be objectively measured by a third party because it is a subjective
feeling or perception, albeit with considerable consensus among people in many
cases.
You can't have surprise without novelty, but surprise adds an additional
requirement to novelty. So should I use surprise but drop novelty as a
distinct defining condition for creativity? Novelty can in principle be
established objectively by historical data, but surprise is defined by
expectations: essentially a subjective measure of mental attitudes not of
observable behaviour. Thus they bring out different aspects of our concept of
creativity.
Of the four defining properties of creativity, three were seen as describing
the product and dealt with above. This section addresses the remaining
property of creativity: the "zero-th" dimension of human agency.
This has two aspects: the human (who or where do the ideas come from; and what
are the relevant connections between creativity and being human),
and agency (is it a purposeful process or not; or can it be accidental).
This leads to broadening the discussion at times beyond creativity (just as
not everything surprising is creative, so not everything with human agency
counts as creative). However what defines the theme of this section is process
as opposed to the product (the result of a creative act) which was the focus
of the previous section. This section develops a set of dimensions or
attributes of processes. The aim is that all creative processes can be
compared and contrasted by these attributes, although other processes,
especially those leading to products called "discoveries" rather than
"creative", can also be compared here.
By the end of the whole section, we can return to summarise what we have
uncovered about the relationship of agency or purposefulness to the process of
creativity, and the connection of humans to it (as opposed, say, to a machine
for creativity).
It is clear from everyday usage of the term "creativity" that it is only
applied to human actions, but this is so entirely taken for granted that it is
not mentioned in the definitions of creativity that I've come across.
However it seems clear, if implicit, from Aristotle's classification of types
of cause that we can find a way to see almost anything both as caused by a
person, and as caused by non-human factors. Blame games (and praise games)
focus on human agents as the cause and are derided for wishing to ignore
non-human causes that may be more sensible. Similarly modern psychology
documents "attribution biasses": tendencies to attribute causes that, because
of their assymmetries, cannot be rational e.g. people tend to explain their
own actions as due to external pressures, but others' actions as due to their
inherent traits. Thus there is generally a huge middle ground in which,
without being grossly irrational, we may either choose a perspective that
explains events as due to human intentional action, or alternatively another
perspective that explains them as due to non-human, material causes. Even
though the simple analysis of everyday uses of "creativity" shows that it is
generally a label emphasising human intention as the central driving cause,
any attempt to deal with creativity from a third party perspective (e.g.
assessing students for creativity) probably needs to recognise that a product
that could count as creative could often alternatively be seen as a
non-creative consequence of other factors.
These are issues of the process of creativity, rather than the product.
They raise issues of who or what the driving force for the process is,
what they already had and what they seek out, ....
Why should we need humans' (rather than a machine's) creativity?
Gradualism vs. catastrophism
Gradualism vs. catastrophism have been important rival schools of explanation
in Geology in the past; and later (today) in Evolution theory.
In both fields, the eventual view seems to be that there are cases of both,
and this is probably the case with creativity.
However we should note the metaphor sketched earlier, of how most
steps up a mountain make only gradual changes to the vista, but a few steps
are associated with rapid, even dramatic, shifts in what is in view. Since
surprise is an essential aspect of creativity, we should perhaps expect that
creativity often feels as if it is a sudden (catastrophic) process, yet is
actually an outcome of generally much slower processes.
This time scale dimension, or choice of perspective, is independent of the
other issues of agency.
The gradual vs. sudden timescale of the process of creativity seems related to
the surprise dimension of the product. However the argument above about the
surprise dimension is that that is essentially about a readjustment of
expectations, rather than the shortness of the period in which this is done.
For example, the Sydney opera house took over 14 years to construct, yet
everyone regards it as creative and in large part because it was so markedly
different from what, up till then, you might expect of an opera house.
The source: Where does the information used in creativity come from?
This is the first aspect of the issue of whether an innovation "comes from" a
person: the inventor. In some cases and senses it does. But it seems clear
that in others, the director / inventor may also obtain vital information from
other people. The types of source of information that may be important to feed
creative outputs are:
Thus even if we require a human agent for creativity, the process more often
than not involves seeking out information from other things or other people, and
doesn't just emerge from inside the inventor's mind.
If the search depends on other people or things, why attribute its value to
the director?
Search, and Purposefulness (Agency)
Thus items may be discovered accidentally. We should however note that even
then it may only be noticed, observed, and reported by a trained observer, and
not by other people. When Fleming discovered penicillin, a non-biologist
would have been unlikely to recognise that the absence of bacteria was an active
sign of death, the sign of the presence of an invisible antibiotic substance.
Considering the gradual nature of some creative processes, extended over
time, and how information sources other than the inventor's own mind are
frequently central, both demonstrate the role of purposefulness or agency.
The agent manages a search for answers, and may use the answers obtained in ways
different from any of the people who may have provided the answer.
This is not like a Eureka moment, but it is like an artist endlessly
"oversketching" (drawing many versions of the same line in a sketch to see
which looks best or right), a poet repeatedly changing this or that word, an
engineer trying different materials or shapes for their new device.
The process of searching for answers has several contrasting types, depending
on the question.
One type of search is to answer a specific closed question e.g. looking up
someone's email address. The other extreme is an open-ended question such as
"What is over the next hill?", what happens when you mix these two substances?
etc.
And furthermore, even when there is no active search, it still takes an
important mental property to recognise something important when you come
across it by accident (like Fleming). The unprepared mind tends not to notice
and does not act on it; the prepared one does.
On the whole, though you may discover something by accident, you don't say
something was created by accident.
Purposeful (2)? Was there any purpose at all behind the invention?
Invention, creativity is more about putting the two parts together; and also
thereby solving a problem. Creativity is about something human: a problem that
is solved; not a dispassionate description of the world.
There are two (at least) opposing accounts of innovation: one is the Eureka
one, attributing it to creativity: to mental creation by an individual with no
antecedants we are aware of. The other is of correcting the bad practices of
the past in order to do it right: which is not being creative but seeing how
to do it the Lord's way / the scientific way i.e. learning from an external
source whether authority or observation. Different disciplines have different
preferences for these two accounts. If the external source is observation,
then we might call it "external context"; if it is other people ....
The two parts of a creative idea.
(If there is a purposeful search) What is sought?
Creativity as project management and purposefulness
Given that there are two parts, then an inventor is someone who puts them
together but may not have invented both or either part in themselves.
Frequently they begin with one and search for something that can play the part
of the other. All find a way to fill the role of the other part. That means
the essential creative act may be one of directing, managing the search,
rather than supplying the parts.
We can then subcategorise creative acts depending on which parts were there
from the start, which found later; which were accidentally "found", which
searched for. For example professional inventors may decide on the need for a
new mousetrap or a videophone, and seek for a solution. Others however have
stumbled on (discovered) a surprising feature and searched for a goal, for
what it could be useful for. Post-it notes were invented when a glue firm
accidentally invented one of the weakest glues ever seen, and wondered how
that could possibly have a use. Similarly, SMS mobile phone texting was a
function engineers realised was "there" anyway in the system they had built
for voice, and could be offered to customers without any great investment or
running expense: but it was a great surprise when it was seen as so useful by
users.
Put another way, two things are needed for a creation: a purpose or goal or
identified value; and a solution or method for satisfying it.
The 4 possibilities for a purposeful agent then are:
If it is sought, then is it only discovered?
So perhaps the inventor, the creative person, is the one who directs the
search, rather than who generates the idea from nothing alone. This is also
about whether the innovation "comes from" a person; and specifically about the
project director role, distinct from who discovers the ideas about the parts.
The above implies that there are not one but two things, bits of information,
ideas to acquire in any invention, plus the idea of combining them.
But it also implies that there is an essential role for a director in putting
them together, distinct from being the source of the parts.
This is a definition of a creator: the person who manages the process, and
brings about the putting together of the two parts.
Perhaps, if we maintain that human agency must be behind anything creative,
there are 2 roles for the creative: a) putting the two parts (value and
method) together; b) actively searching for one or both of the parts.
You can discover facts / things; but creativity requires a problem, goal, need.
In essence, discovery is a one part process, while creativity is defined by
combining two parts.
Discovery vs. creativity
However for cases which qualify for creativity as well as discovery on all the
above issues, there may remain a different kind of ambiguity about which it
is. "Discovery" implies it is about external facts, not human wishes.
However, as illustrated by Aristotle's ideas of causes, and by the
psychological theory of attribution error, there is in many cases an ambiguity
in how you interpret any one thing.
There is latitude in whether we attribute a discovery to creativity or not.
The element Radium was isolated by Curie after much effort: it does occur in
nature, but no-one knew it was there and it isn't easy to get hold of.
Plutonium owes the possibility of its existence and its nature and properties
to the same laws of physics as Radium, but in contrast does not occur in
nature but is physically created (manufactured) in nuclear reactors. BUT the
idea is not manufactured, so it's not creative.
Yet no doubt many things get reinvented: perhaps this is P-creativity.
The problems with drawing a clear line between discovery and creativity are,
or include:
Thus in part the distinction between discovery and creativity is not a matter
of definition but of the perspective adopted by those selecting the term.
If your attribution is focussed on what is different about the human involved,
then "creativity" is the term. If it focussed on the world, on the non-human
factors, then "discovery" feels more appropriate.
Gradualism: makes the need for purposeful mgt more evident.
There are two distinct needs for purposefulness in creativity:
There are three distinct roles for human involvement:
Creativity must have:
I claim that these dimensions apply equally to technology (product design),
Art, and also to entrepreneurial design of services, and to pure science.
(Although I am personally more familiar with cases from technological
creativity.)
Firstly, the question of whether there is an inventor acting as manager at
all: in other words, whether the case satisfies the necessary condition ("0th
dimension") for creativity of being due to human agency.
Cases that do not nevertheless help by giving us a perspective on those that
do, so a few are included as examples.
Examples where an invention is just noticed, and so arguably cannot qualify as
creative, are where both value and solution are noticed together. One case is
noticing that sunken ships in some locations have functioned to begin a new
reef: and now some ships have been placed and sunk deliberately for that
purpose. Another might be noticing that cigarette smoke tends to repel
midges, then smoking for that purpose.
I.e. is there an active manager, or was the "creation" just observed and
adopted?
Secondly, since (according to the argument here) there are always 2 parts
to any creativity which consists precisely of joining them, and the inventor's
job is that of a manager who searches for the missing part, then we can
classify each case by which of the two parts was "given" (there already), and
which was searched for. If both are given then it is a case of no creativity
(discovering something useful, as above). If neither are given, then it is a
case of a professional inventor setting out to do invention by simultaneously
looking for unsatisifed needs (functions) and for solutions that match them.
Thirdly are the dimensions of information source: for each of value and
solution, who or what supplied the information?
The basic idea is whether it comes out of the "director's" head (as in
painting and maths) or from testing the world, or asking other people.
However a major reason for not having a single clear answer to this in many
cases is that often, there may be a demonstrated key element that should make
a solution possible, yet there also needs to be a substantial development
process to establish how the solution can be reliably and economically
produced. Penicillin is an example of how crucial this step is. In fact the
same applies to the "value" element as well: managers may hit on a use they
believe in, but only much further work and rolling it out will in fact prove
whether or not there is real demand for it. This leads to ambiguity in how to
describe each case and fill in entries to the table.
Fourthly is the issue of whether the process is perceives as sudden or
gradual, and by each of the inventor and the surrounding social group.
Additionally is the contrast between pure science and saleable
technology. Both are creative in these terms, but a science goal concerns
the value of knowledge.
In fact in both cases, the value is only really known (established) after the
creation is fully delivered, and even then can change in time as the context
changes.
This table illustrates how either part may come first (be a "given") or second
(be sought by the inventor).
A creative design has:
I shall here discuss each case, and the problems I have in filling in the
table for it.
PostIt: the research group discovered the weak glue accidentally, then
searched for a use for it purposefully, and found it. They played the
Director (manager) role; they also acted as the information sources.
SMS (phone texting). The engineering group had already to implement the
channel that would be used for it as the "control" channel by which mobile
phones liase with stationary masts, and are handed off between them.
They saw that this channel could also be used for carrying user messages with
no new hardware, and no difficult extra software to write, and no costs to the
supplier provided delivery time wasn't guaranteed. They imagined it would
have some value, but probably hugely underestimated how much: this was later
"discovered" by observing actual customer use.
Penicillin: Fleming noticed an unusual pattern of bacterial growth in a dish;
inferred that this was due to a fungus which he was able to identify and
culture; isolated the substance it secreted and speculated that it would be
useful medically. Florey decided to attempt to work at developing an
anti-bacterial drug; chose penicillin (he presumably would have gone on to try
others if this was not successful); developed ways of manufacturing it in
usable quantities; and ran medical trials to establish whether it was useful.
If you regard Fleming as the discoverer of pencillin in the sense of someone
who created a drug hospitals could order and use, then Florey did nothing more
important than a foundry worker producing a bronze sculpture. But Fleming
completely failed to develop a production process and so could not treat let
alone cure any human. This led to the deaths of millions of people in the
years between his observation and the development of Florey's drug supply. We
could thus see Florey, but not Fleming, as creative: managing a purposeful
process that verified and connected a value with a working solution for
delivering that value.
Columbus had a purposeful project of discovery. He didn't discover what he
had planned to, so his actual discovery was accidental; and he never correctly
understood what he had discovered. He wasn't the first human to discover it
(that would be the people already living there); he wasn't the first European
to reach the continent (that was the Vikings) but he did discover / establish
a quite different method of sailing there (at the time, much more crucial than
just knowing the geographical coordinates); but most importantly, his
discovery became disseminated throughout the European world. Although he
probably had various utilities in mind, what has proved useful was the
knowledge of his discovery, not particular planned material advantages (gold,
...).
Marie Curie discovered the element Radium after a planned search and heroic
labour, isolating a few grams from tons of pitchblende (Uranium ore).
It was the first knowledge of its existence, and measurement of its
properties. Its human applications were invented later and by others.
Thus from an engineering viewpoint, this was discovery not creativity because
it had no human utility; while later people who developed applications (e.g.
using it to create glow-in-the-dark paint for watches) were creative.
However from the viewpoint of creative science, the value was the
identification of a new element and its properties, especially radioactive
properties. In effect there was a puzzle (accounting in detail for the
radioactivity of pitchblende) and both the method for answering it and the
answer itself had to be pursued.
Kissograms: an example of entrepreneurial creativity, where a new value
(utility) is imagined, verified, and a means developed to supply it. I.e.
creativity needn't be to do with either science, technology, nor art.
In fact, the means (solution) could be viewed as given and the creativity was
in recognising that people might use it and pay for it.
DNA fingerprinting is essentially like PostIt notes: an unexpected property was
observed; and then a use for it was thought up. This brings up a common
ambiguity: although it started with a surprising discovery that would become
the essential part of the "solution", even after inventing the application
(utility), the solution had to be developed into a practicable and reliable
procedure: reworking the solution from feasibility study to tested solution.
Discovering a new species (whether fossilised or living in the wild):
biologists go out to look, say, for new beetles. By examining every on they
find they will recognise a new species. The value is given, and obvious:
zoology is still interested in new species, though the amount of scientific
value of each new one is only known after discovery and depends on how
unexpected it is. Scientists would normally call this "discover", yet it has
all the attributes of creativity.
Perkins examined the sludge from a failed experiment in organic chemistry and
observed a strong mauve colour. He then thought of the application of fabric
dyeing and established it as practicable.
The 4 colour theorem was a long standing conjecture in maths: i.e. everyone
thought it was true, but couldn't find a way to prove it. So the utility was
long established, and concerted efforts to find the "solution" were made,
eventually successful after a very long time.
Similarly for malaria vaccine, and fusion as a practicable power source, except
that success even after all this time is still at best partial, and it is
still not known if it will ever be really successful.
Perspective painting: a story we might tell is that artists wished to create
a stronger impression of visual realism and sought, then developed, the system
of perspective.
With Jackson Pollock he developed both novel ways of painting (no brushes,
horizontal canvases to take liquid paint), and an aspect of visual experience
that his pictures isolated and brought out. If that story is correct, then
w.r.t. creativity he (and no doubt numerous other major painters such as
Picasso) developed novelty simultaneously in both parts (aim, method):
as professional inventors do for product design.
Firstly, all assessment tests require "transfer": using what was learned in a
new context. The question is, how far is the transfer? Reciting a poem
learned by heart is transfering only to another time and place, but using
identical words (very near transfer). A test on fractions might vary the
actual digits each time, but the method would be identical. Another step up,
would give the numbers in words not digits; a further step might ask about
proportions or percentages rather than using the word "fraction": and not all
children have grasped the connections. All tests test transfer; and some test
ability to transfer the knowledge to significantly distant cases and contexts:
and so are testing one important kind of creativity. (See here Table 8, which relates
creativity to the spectrum of learning transfer.)
Another kind of creativity assessment is the exam essay e.g. in History.
While essays sometimes only elicit direct recall and reproduction,
they are also often used to confront students with an unexpected proposition,
and the learner is required to construct a critical thinking argument for
and/or against the proposition, recruiting what they know and re-using it for
this discussion. This is creative in the classic sense: uses old elements,
but re-configuring them into a novel combination for a new purpose. In modern
educational terms, it might be boasted of as testing critical thinking or
higher-order Bloom goal types. The students who do this certainly feel an
engagement and elation that indicates that it is experienced as creative (and
self-actualising) by them.
The third familiar assessment method concerns problem-solving tasks, and in
particular Johnstone's analysis of designing creative problem solving tasks for learners.
Open-ended problems require the learner to decide on the goal (what will count
as a solution), some on finding new methods, some will have incomplete
information given. Thus such problems have more than one right answer; but
probably only a few predicates (judgement criteria, metrics of goodness of
a solution) which are largely agreed in advance.
Finally: we could view assessing creativity (e.g. of painters or designers)
as an expansion of this, but where the learner probably must add their own
predicates, and where there are probably a very large number of predicates
that are relevant (even if the designer in practice picks just a few to focus
on). Thus if the task is to design a coffee mug, some of the obvious goals
include: holding liquid, tolerating freezing and boiling temperatures,
insulating it so hot coffee doesn't burn the user's hand and doesn't cool too
quickly, being easily washable, not containing steel armature wires so it can
be used in microwaves, etc. Designs will generally address some of these
better than others, so no two designs will be the same even in intention, let
alone in solution. On this perspective, designs could be assessed firstly (1)
for which predicates (design goals) were addressed vs. forgotten (identifying
value), and secondly (2) on how well the design addresses each one
(identifying solutions).
And then further assessed for novelty for the student (3) (was it a
solution not mentioned in the textbook or lectures);
(4) novelty for everyone (the solution has not been seen anywhere before);
and (5) for surprise: a subjective judgement about how striking the solution
seems (as the Sydney Opera house is novel).
"The imagination imitates. It is the critical spirit that creates."
Oscar Wilde
Lev Landau's group was discussing a bright new theory, and one of his junior
colleagues bragged that he had independently discovered the theory a
couple of years ago, but did not bother to publish his finding.
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There were two small boys, John and Jim, who were friends. Jim had a dog. One
day they were taking the dog for a walk walk and and Jim said proudly: "I've
taught the dog to whistle". "What do you mean?", said John, "He's not
whistling". "I know", said Jim, "But I said I'd taught him; I didn't say he'd
learned".
"I know I've taught it because I've heard myself say it."
I pay the schoolmaster, but it is the school boys who educate my son.
[T10, T333] - Ralph Waldo Emerson
The best education consists in immunizing people against systematic attempts
at education [T10] - Paul Karl Feyerabend
The most important outcome of education is to help students become independent
of formal education. [T10]
- Paul E. Gray President of MIT 1980-90
Formal education is but an incident in the lifetime of an individual. Most of
us who have given the subject any study have come to realize that education is
a continuous process ending only when ambition comes to a halt. [T10]
- R.I.Rees. One (this one?) Robert Irwin Rees was a Brigadier
General, United States Army; and President (1929-1930) of American Society for
Engineering Education.
Whom do I call educated? First, those who manage well the circumstances they
encounter day by day. Next, those who are decent and honorable in their
intercourse with all men, bearing easily and good naturedly what is offensive
in others and being as agreeable and reasonable to their associates as is
humanly possible to be... those who hold their pleasures always under control
and are not ultimately overcome by their misfortunes... those who are not
spoiled by their successes, who do not desert their true selves but hold their
ground steadfastly as wise and sober-minded men. [T10]
Socrates
"The things taught in colleges and schools are not an education, but the
means of education." [T10]
Ralph Waldo Emerson
"He is to be educated because he is a man, and not because he is to make shoes,
nails, and pins." [learning for learning's sake, almost.] [T10]
William Ellery Channing (1780-1842) U.S. Unitarian clergyman and writer.
Everywhere I go I'm asked if I think the university stifles writers. My
opinion is that they don't stifle enough of them. There's many a best-seller
that could have been prevented by a good teacher. [T10/T6]
Mary Flannery O'Connor (1925-1964) American novelist, short-story
writer and essayist.
Education is the ability to listen to almost anything without losing your
temper or your self-confidence. [T10]
Robert Lee Frost (1874-1963) American poet.
It is the mark of an educated mind to be able to entertain a thought without
accepting it.
Aristotle
An educated man is one who can entertain a new idea, entertain another person
and entertain himself. [T10]
Sidney Herbert Wood, (UK) principal assistant secretary of the
Ministry of Education in a 1947 talk.
Reported in Time magazine Monday, May 19, 1947.
".. if you work hard and intelligently you should be able to detect when a man
is talking rot, and that, in my view, is the main, if not the sole, purpose of
education." [T10] [it's all critical thinking]
John Alexander Smith, Professor of Moral Philosophy, Oxford University,
1914.
"Education is the path from cocky ignorance to miserable uncertainty." [T10]
Twain
"Education consists mainly in what we have unlearned." [T10]
- Mark Twain's Notebook, 1898
"All Human Knowledge is precious whether or not it serves
the slightest human use." [T10]
Education is what remains when we have forgotten all that we have been taught.
[T10] George Savile, Marquis of Halifax (1633-1695) English statesman and
author
There are obviously two educations. One should teach us how to make a living
and the other how to live. [T10]
"If you travel with us you will have to learn things you do not want to learn
in ways you do not want to learn". [T10]
"Reading maketh a full man, conference a ready man, and writing an exact man."
[T10, T333]
"Those who can, do.
"Everyone who is incapable of learning has taken to teaching" [T1]
Oscar Wilde in The Decay of Lying
"I like to teach: it's easier than learning." [T1]
However
Education is an admirable thing, but it is well to remember from time to time
that nothing that is worth knowing can be taught. [T2]
Oscar Wilde The critic as artistp248
The greatest sign of success for a teacher... is to be able to say, "The
children are now working as if I did not exist." [T2]
Maria Montessori
Children have to be educated, but they have also to be left to educate
themselves. [T2] Abbe Dimnet Art of Thinking 1928
There were two small boys, John and Jim, who were friends. Jim had a dog. One
day they were taking the dog for a walk walk and and Jim said proudly: "I've
taught the dog to whistle". "What do you mean?", said John, "He's not
whistling". "I know", said Jim, "But I said I'd taught him; I didn't say he'd
learned". [T2]
"The power of instruction is seldom of much efficacy except in those happy
dispositions where it is almost superfluous." [T2]
- Edward Gibbon (1776)
The decline and fall of the Roman empire vol.1 ch.4
I am always ready to learn although I do not always like being taught.
[T2]Winston Churchill
Confucius said: "I am a transmitter, rather than an original thinker. I
trust and enjoy the teachings of the ancients. In my heart I compare myself to
old Peng." [T2 !]Confucius
You can teach a student a lesson for a day; but if you can teach him to learn
by creating curiosity, he will continue the learning process as long as he
lives. [T22?] [but how non-applicable to imagine a) that you can
create curiosity about anything anytime; b) that a student is well-equipped if
they can only learn when curious, not when it is useful to them or required by
others] Clay P. Bedford
[? a top executive of Kaiser Industries in California, died 1991]
"Knowledge which is acquired under compulsion obtains no hold on the mind."
Plato, from The Republic [T22]
Spoon feeding in the long run teaches us nothing but the shape of the spoon.
[T22] E.M.Forster from a radio talk.
Education makes us more stupid than the brutes. A thousand voices call to us
on every hand, but our ears are stopped with wisdom. [T3]
- Jean Giraudoux
Learning: the kind of ignorance distinguishing the studious. [T3]
Ambrose Bierce The Devil's Dictionary
"I have never let my schooling interfere with my education." [T3]
- This quote has been attributed to Mark Twain, but until the
attribution can be verified, the quote should not be regarded as authentic.
My grandmother wanted me to have an education, so she kept me out of school.
[T3] Margaret Mead
"A little learning is a dangerous thing; drink deep, or taste not the Pierian
spring: there shallow draughts intoxicate the brain, and drinking largely
sobers us again." [T3]
"'Only I was afraid you would be getting so learned', said Celia, regarding
Mr. Casaubon's learning as a kind of damp which might in due time saturate a
neighbouring body."
[T3]
For as the Greek verse says:
'To what use serves learning, if understanding be away.' [T3]
Apud Stobaeus, tit. iii., p. 37 (1609);
quoted in Montaigne
On pedantry
On pedantry
I do not approve of anything that tampers with natural ignorance. Ignorance
is like a delicate exotic fruit; touch it and the bloom is gone. The whole
theory of modern education is radically unsound. Fortunately in England, at
any rate, education produces no effect whatsoever. If it did, it would prove
a serious danger to the upper classes, and probably lead to acts of violence
in Grosvenor Square. [T3]
"He who learns without thinking will be bewildered; he who thinks without
learning will be in danger." [T3] - Confucius
All intellectual improvement arises from leisure. [T3, T8]
Samuel Johnson in Boswell (1799): Life of Johnson
[N.B. Johnson is using this as an argument for social inequality]
"Knowledge is good, method is good, but one thing beyond all others is
necessary; and that is to have a head, not a pumpkin, on your shoulders, and
brains, not pudding, in your head." [T33]
No one wants a good education. Everyone wants a good degree. [T33]
- Lee Rudolph
The Master said, "In ancient times, men learned with a view to their own
improvement. Nowadays, men learn with a view to the approbation of others."
[T33] - Confucius
[This shows that an imaginary nostalgia for deep over shallow learning,
or at least for intrinsic over extrinsic motivation, for learning was present
even in ancient times.]
Education is a state-controlled manufactury of echoes. [T33]
Norman Douglas, (probably the English author, died 1952)
He who joyfully marches to music in rank and file has already earned my
contempt. He has been given a large brain by mistake, since for him the spinal
cord would suffice. [T33/T6]
Einstein
"Only a fool learns from his own mistakes. The wise man learns from the
mistakes of others." [T4]
Otto von Bismarck
If you want to increase your success rate, double your failure rate. [T4]
Thomas Watson, Sr., founder of IBM
"For the things we have to learn before we can do them, we learn by doing
them." [T4] Hannah Arendt
Mistakes are the portals of discovery. [T4]
James Joyce Ulysses
Learning is like raising a monument; if I stop with this basket of earth, it
is my own fault. It is like throwing earth on the ground; one basket at a
time, yet I advance. [T4] - Confucius
I never make stupid mistakes. Only very, very clever ones. [T4]
John Peel, disc jockey
The only thing experience teaches us is that experience teaches us nothing. [T4]
Andre Maurois (1885-1967) French biographer and writer
Time is a great teacher, but unfortunately it kills all its pupils
[T4] (Louis) Hector Berlioz .
If the student isn't better than the teacher, then the teacher is a failure.
[T5]
I am entirely certain that twenty years from now we will look back at
education as it is practiced in most schools today and wonder that we could
have tolerated anything so primitive. [T5] - John W. Gardner,
Secretary of Health, Education, and Welfare under President Lyndon Johnson.
"The plural of anecdote is not data" [T7] Lee Shulman.
"It was imagined that experiments in education were not necessary; and that,
whether any thing in it was good or bad, could be judged of by the reason. But
this was a great mistake; experience shows very often that results are
produced precisely the opposite to those which had been expected. We also see
from experiment that one generation cannot work out a complete plan of
education." [T7]
Immanuel Kant, in his university lectures On Pedagogy
No one can possibly achieve any real and lasting success or 'get rich' in
business by being a conformist. [T6] [but untrue]
John Paul Getty
The imagination imitates. It is the critical spirit that creates. [T6]
Oscar Wilde
"The principal goal of education is to create men who are capable of doing new
things, not simply of repeating what other generations have done." [T6]
Jean Piaget
Thank goodness I was never sent to school; it would have rubbed off some of
the originality. [T6]
Beatrix Potter (1866-1943) English author, illustrator, mycologist
and conservationist.
If a man empties his purse into his head, no one can take it away
from him. An investment in knowledge always pays the best interest. [T8]
Benjamin Franklin
All intellectual improvement arises from leisure. [T3, T8]
Samuel Johnson in Boswell (1799): Life of Johnson
[N.B. Johnson is using this as an argument for social inequality]
There can be no education without leisure, and without leisure education is
worthless. [T8] Sarah Josepha Hale
(American writer, author of "Mary had a little lamb", died 1879)
Otium sine litteris mors. (Leisure without learning [is] death) [T8]
Seneca (AD 65) Moral Epistle 82
One of the few things a person is willing to pay for and not get. [T8]
William Lowe Bryan, 10th president of Indiana University
(1902 to 1937).
Education seems to be in America the only commodity of which the customer
tries to get as little he can for his money. [T8]
Max Leon Forman (1909-1990) Jewish-American writer
We learn simply by the exposure of living. Much that passes for education is
not education at all but ritual. The fact is that we are being educated when
we know it least. [T9] - David P. Gardner [who is he?]
You know more than you think you know, just as you know less than you want to
know. [T9] Oscar Wilde
Education is what survives when what has been learnt has been forgotten.
[T10, T9] B.F. Skinner, US psychologist New Scientist
May 21, 1964
[i.e. you believe you have forgotten, yet you show permanent changes.]
The fellow who thinks he knows it all is especially annoying to those of us
who do. [T9]
Harold Coffin, a former humor columnist for The Associated Press,
died 1981
More important than the curriculum is the question of the methods of teaching
and the spirit in which the teaching is given. [T333]
Bertrand Russell
"Teaching yourself is discovering what is teachable." [T333]
The greatest education in the world is watching the masters at work. [T333]
- Michael Jackson (the pop star) in Moonwalk, 2009
First figure out why you want the students to learn the subject and what you
want them to know, and the method will result more or less by common sense.
[T333] - Richard Feynman
"solution to the problem of education":
I learned most, not from those who taught me but from those who talked with
me. [T333] - St. Augustine
I pay the schoolmaster, but it is the school boys who educate my son.
[T10, T333] - Ralph Waldo Emerson
It appears, therefore, that some development of the capacity to be alone is
necessary if the brain is to function at its best, and if the individual is to
fulfil his highest potential. Human beings easily become alienated from their
own deepest needs and feelings. Learning, thinking, innovation and maintaining
contact with one's own inner world are all facilitated by solitude.
- Anthony Storr
"By three methods we may learn wisdom: First, by reflection, which is noblest;
Second, by imitation, which is easiest; and third by experience, which is the
bitterest." [T333] - Confucius
I used to sit alone thinking about this and that. Sometimes I even forgot my
meals or bedtime. Still I gained very little. Later I shifted to reading
omnivorously, but I did not benefit a great deal either. At long last I came
to see that reading in a mechanical way without using my brains was no use.
On the other hand, if thinking is divorced from the reality and no due
attention is paid to reading, one will continue to feel puzzled by many
things. One should constantly review what he has learned and combine reading
with thinking. In thus making use of the theories one has learned to guide his
thought and help analyze the problems at hand, progress will be achieved.
[T333] - Confucius
It matters not what you Learn; but when you once learn a thing, you must never
give it up until you have mastered it. It matters not what you inquire into;
but when you inquire into a thing, you must never give it up until you have
thoroughly understood it. It matters not what you try to think out, but when
you once try to think out a thing, you must never give it up until you have
got what you want. It matters not what you try to sift; but when you once try
to sift out a thing, you must never give it up until you have sifted it out
clearly and distinctly. It matters not what you try to carry out; but when you
once try to carry out a thing, you must never give it up until you have done
it thoroughly and well. [T333] - Confucius
"A student should not be taught unless he is anxious to understand what he
does not understand, and should not be enlightened unless he is eager to
express what he cannot express." [T333] - Confucius.
[the recipe for getting learners to recognise a problem.]
"Letting the students admire the excellence of other students ensures the
success of education." [T333] - Confucius
[My L3 tutorial reciprocal critiquing exercise.]
"Is it not a pleasure to learn and practise from time to time what is
learned?" [T333] - Confucius
Correction does much, but encouragement does more.
[T333] - Goethe
Those who trust us educate us. [T333] - George Eliot
Nine tenths of education is encouragement. [T333]
- Anatole France
Reviewing what you have learned and learning anew, you are
fit to be a teacher. [T222] - Confucius
He can be a teacher who finds what is new in reviewing what is old.
[T222] - Confucius
There are five collections of writings by Confucius and his disciples:
The analects of Confucius,
The great learning,
The doctrine of mean,
Mencius;
The book of change,
The book of odes,
The book of rites,
The book of history,
The spring and autumn annals.
[analect 7:1] Confucius said: "I am a transmitter, rather than an original thinker. I
trust and enjoy the teachings of the ancients. In my heart I compare myself to
old Peng." [T2]
[analect 7:2] Confucius said: "Keeping silent and thinking; studying without satiety,
teaching others without weariness: these things come natural to me."
"By three methods we may learn wisdom: First, by reflection, which is noblest;
Second, by imitation, which is easiest; and third by experience, which is the
bitterest."
"A student should not be taught unless he is anxious to understand what he
does not understand, and should not be enlightened unless he is eager to
express what he cannot express."
[the recipe for getting Ls to recognise a problem.]
Student Teams
"Letting the students admire the excellence of other students ensures the
success of education."
[My L3 tutorial reciprocal critiquing exercise.]
Tutorials
"Is it not a pleasure to learn and practise from time to time what is
learned?"
Confucius said: "Isn't it a pleasure to study and practise what you have
learned?
The Master said, "In ancient times, men learned with a view to their own
improvement. Nowadays, men learn with a view to the approbation of others."
[This shows that an imaginary nostalgia for deep over shallow, or at least for
intrinsic over extrinsic motivation for learning was present even in ancient
times.]
The Master said, "Learning without thought is labor lost; thought without
learning is perilous."
"I used to sit alone thinking about this and that. Sometimes I even forgot my
meals or bedtime. Still I gained very little. Later I shifted to reading
omnivorously, but I did not benefit a great deal either. At long last I came
to see that reading in a mechanical way without using my brains was no use.
On the other hand, if thinking is divorced from the reality and no due
attention is paid to reading, one will continue to feel puzzled by many
things. One should constantly review what he has learned and combine reading
with thinking. In thus making use of the theories one has learned to guide his
thought and help analyze the problems at hand, progress will be achieved. "
[T333]
Confucius said: "Reviewing what you have learned and learning anew, you are
fit to be a teacher."
Every truth has four corners: as a teacher I give you one corner, and it is
for you to find the other three. [is this genuine?]
"In education there are no class distinctions" [widening participation]
"Is it not pleasant to learn with a constant perseverance and application? ...
Tsze-hsia said, "There are learning extensively, and having a firm and sincere
aim; inquiring with earnestness, and reflecting with self-application: --
virtue is in such a course."
The capacity for knowledge of the inferior man is small and easily filled up;
the intelligence of the superior man is deep and not easily satisfied.
It matters not what you Learn; but when you once learn a thing, you must never
give it up until you have mastered it. It matters not what you inquire into;
but when you inquire into a thing, you must never give it up until you have
thoroughly understood it. It matters not what you try to think out, but when
you once try to think out a thing, you must never give it up until you have
got what you want. It matters not what you try to sift; but when you once try
to sift out a thing, you must never give it up until you have sifted it out
clearly and distinctly. It matters not what you try to carry out; but when you
once try to carry out a thing, you must never give it up until you have done
it thoroughly and well.
THE TRUE SCHOLAR
When the opportunity of gain is presented to him, he thinks on virtue. He is
reverent in sacrifice; in mourning, absorbed in the sorrow he should feel. He
who cherishes love of comfort is not fit to be a scholar.
The main object of study is to unfold the aim; with one who loves words, but
does not improve, I can do nothing.
The scholar's burden is perfection; is it not heavy? It ends but with life; is
it not enduring?
Learning is like raising a monument; if I stop with this basket of earth, it
is my own fault. It is like throwing earth on the ground; one basket at a
time, yet I advance.
The true scholar is not a mere utensil. Leaving Virtue without proper
culture; failing thoroughly to discuss what is Learned; being unable to move
toward the righteousness of which knowledge is gained; and being unable to
change what is not good, -- these are the things that (in my scholars) give me
anxiety.
If a man keeps cherishing his old knowledge, so as ever to acquire new, he may
be a teacher of others. I marked Yen-Yuen's constant advance; I never saw him
pause. Often the blade springs, but the plant does not go on to flower; often
the plant flowers, but produces no fruit.
Having completed his studies, the scholar should devote himself to official
functions. He should say : "I am not concerned that I have no place; I am
concerned how I shall fit myself for one. I am not concerned at not being
known; I seek to be worthy to be known."
"Knowing without doing is not knowing."
"He who learns without thinking will be bewildered; he who thinks without
learning will be in danger."
"He can be a teacher who finds what is new in reviewing what is old."
Everybody who is incapable of learning has taken to teaching. [T1]
Education is an admirable thing, but it is well to remember from time to time
that nothing that is worth knowing can be taught. [T2]
I like talking to a brick wall, it's the only thing in the world that never
contradicts me. []
The mind of the thoroughly well-informed man is a dreadful thing. It is like a
bric-a-brac shop, all monsters and dust, with everything priced above its
proper value. []
I love talking about nothing. It is the only thing I know anything about.
[exams!]
You know more than you think you know, just as you know less than you want to
know. [T9]
Life is too short to learn German []
I may have said the same thing before... But my explanation, I am sure,
will always be different.
Examinations, sir, are pure humbug from beginning to end. If a man is a
gentleman, he knows quite enough, and if he is not a gentleman, whatever he
knows is bad for him.
- Lord Fermor, in The Picture of Dorian Gray
(1891) by Oscar Wilde.
An investment in knowledge pays the best interest.
Tell me and I forget. Teach me and I remember. Involve me and I learn.
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This page is about effect size: what it is in a slightly wider perspective
than just statistics. If you just want the statistical view and tests, the
wikipedia page seems good.
Whereas statistical tests such as a t-test aim to tell you what degree of
certainty to attribute to a difference (an effect), another important question
is "How important is that difference (if real)?". I shall use the term
"effect size" as a general title for this question; and take particular
statistical tests of effect size (e.g. "Cohen's d") to be just one
interpretation of the question.
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There have been discussions on what J.J.Gibson means for visual perception,
for the notion of affordance in HCI, and for the notion of affordance in
e-learning. We all have enormous trouble integrating his ideas with our
habitual ones, and the more we are trained (indoctrinated) in computer
programming and reductionist "science" the more trouble we have. A number of
authors have attempted to define and redefine terms like "affordance".
Normally, I am strongly drawn to this kind of approach. But the trouble is
that when we attempt to define a term, we fall back almost entirely
unconsciously on existing patterns of thought, and do not even consider giving
up anything we already believe. Gibson however constitutes a challenge to
some of our patterns of thought.
I think the simplest short thing we can do is to list some basic lessons
Gibson taught: whenever we write something inconsistent with these, then we
are showing our prejudices in ways that are incompatible with the real
world (as well as with Gibson's ideas, which aren't necessarily right in all
ways). Here's my list of such Gibson inspired points, or facts.
One such example from a computer system long ago in a country far, far
away is as follows. The command for listing the emails in the inbox was "ha"
(Headers All); and the command for listing the files in the current directory
was "ls". Not particularly frequent, yet persistently repeated, was the user
error of sometimes typing "ls" for "ha" or vice versa.
How could these two be confounded in the user's mind? The command names, the
documentation, the nature of the objects (file names versus emails) were
different in anyone's ontology, especially that of the technically experienced
users exhibiting this error. This kind of error seems to reveal hidden,
tacit categories (e.g. approximately "show me my bag of things") that have the
power to determine user behaviour.
??
Here goes.
Gibson's ideas thus give us 4 useful things for pushing forward our ideas about
education:
Biggs ch.
Carroll, J.B. (1989) "The Carroll model: A 25 year retrospective and
prospective view" Educational Researcher vol.18 no.1 pp.26-31.
Dohn, N.B. (2009) "Affordances revisited: Articulating a Merleau-Pontian view"
Computer supported learning vol.4 pp.151-170
Oliver,M. (2005) "The problem with affordance" E-learning vol.2 no.4
pp.402-413.
Mike Adams, Biology Department
This is a copy from http://www.cis.gsu.edu/~dstraub/Courses/Grandma.htm
It has long been theorized that the week prior to
an exam is an extremely dangerous time for the relatives of college students.
Ever since I began my teaching career, I heard vague comments, incomplete
references and unfinished remarks, all alluding to the "Dead Grandmother
Problem." Few colleagues would ever be explicit in their description of what
they knew, but I quickly discovered that anyone who was involved in teaching
at the college level would react to any mention of the concept. In my travels
I found that a similar phenomenon is known in other countries. In England it
is called the "Graveyard Grannies'' problem, in France the "Chere Grand'mere,"
while in Bulgaria it is inexplicably known as "The Toadstool Waxing Plan" (I
may have had some problems here with the translation. Since the revolution
this may have changed anyway.) Although the problem may be international in
scope it is here in the USA that it reaches its culmination, so it is only
fitting that the first warnings emanate here also. The basic problem can be stated very simply: A
student's grandmother is far more likely to die suddenly just before the
student takes an exam, than at any other time of year. While this idea has long been a matter of
conjecture or merely a part of the folklore of college teaching, I can now
confirm that the phenomenon is real. For over twenty years I have collected
data on this supposed relationship, and have not only confirmed what most
faculty had suspected, but also found some additional aspects of this process
that are of potential importance to the future of the country. The results
presented in this report provide a chilling picture and should waken the
profession and the general public to a serious health and sociological problem
before it is too late. As can be seen in Table 1, when no exam is
imminent the family death rate per 100 students (FDR) is low and is not
related to the student's grade in the class. The effect of an upcoming exam is
unambiguous. The mean FDR jumps from 0.054 with no exam, to 0.574 with a
mid-term, and to 1.042 with a final, representing increases of 10 fold and 19
fold respectively. Figure 1 shows that the changes are strongly grade
dependent, with correlation coefficients of 0.974 for mid-terms and 0.988 for
finals. Overall, a student who is failing a class and has a final coming up is
more than 50 times more likely to lose a family member than an A student not
facing any exams.
Next exam None 0.04 0.07 0.05 0.05 0.06 0.054 Mid-term 0.06 0.21 0.49 0.86 1.25 0.574 Final 0.09 0.41 0.96 1.57 2.18 1.042 Table 1: The mean number of family deaths/100
students for periods when no exam is coming up, the week prior to a mid-term
exam and the week prior to finals. Values are corrected for the number of
students in each grade class and the relative frequency of mid-terms and
finals. Figure 1. Graph of data in Table 1, showing the
relationship between exam, student grade and FDR. The equation for the simple
linear regression on each is shown, as is the correlation
coefficient. Only one conclusion can be drawn from these data.
Family members literally worry themselves to death over the outcome of their
relatives' performance on each exam. Naturally, the worse the student's record
is, and the more important the exam, the more the family worries; and it is
the ensuing tension that presumably causes premature death. Since such
behavior is most likely to result in high blood pressure, leading to stroke
and heart attacks, this would also explain why these deaths seem to occur so
suddenly, with no warning and usually immediately prior to the exam. It might
also explain the disproportionate number of grandmothers in the victim pool,
since they are more likely to be susceptible to strokes. This explanation,
however, does not explain why grandfathers are seldom affected, and
clearly there are other factors involved that have not been identified.
Nonetheless, there is considerable comfort to be had in realizing that these
results indicate that the American family is obviously still close-knit and
deeply concerned about the welfare of individual members, perhaps too much so.
As some colleagues have expressed some degree of skepticism over my
interpretation of these data, I have extended the scope of my research into
the phenomenon. Using readily available sources (including the National Census
Bureau and The National Enquirer ) have examined the relationship
between education and family structure. Interestingly, there appears to be no
correlation between FDR and the size of the extended family (Table 2). Either
large families worry less on a per capita basis than do small families, or
there is a single "designated worrier" in each family, who bears the brunt of
the danger. The exceptionally high death rate among grandmothers (24 times
greater than for grand fathers) suggests the latter explanation is correct. If
not, then people from very small families would be well advised to discourage
other family members from attending college, since the potential risk becomes
excessive with so few members to share the danger.
Number in family, excluding
student Table 2. Mean FDR for all exam periods and all student
GPAs over the last decade. Families ranging in size from 1-30+ show no
significant correlation (0.04) between family size and FDR. The figure for
students with no family would have been zero, except for a single family-less
student (a member of the baseball team) who tragically lost at least one
grandmother every semester for four years. The problem is clearly far more pervasive than
most people realize. For example, if one examines the percentage of the
population attending college and the mean divorce rate on a country by country
basis, there is a very strong positive correlation between the two. The United
States has the highest percentage of its population attending college and also
the world's highest divorce rate, while South Yemen is last in both
categories. Although this study is still in progress and will form the basis
for a future CSU grant proposal, it seems results already are becoming clear.
As more people go to college, their families find that, for safety reasons, it
is wise to increase the number of grandmothers per family. Since there is
currently no biological way of doing so (though another grant proposal in
preparation will ask for funds to look into the prospect of cloning
grandmothers, using modern genetic engineering techniques), the families must
resort to in creasing the pool by divorce and remarriage. Sociologists may
wish to use these data to examine the effect of education on family structure
from a new perspective. Figure 2: The mean FDR/100 students for all exams and all grades of
students for the years 1968-1988. The best fitting curve shows an exponentially
rising curve, with the equation shown in the figure. While the general facts of this problem have been
known, if not widely discussed, I have recently become aware of a potentially
far more dangerous aspect of the whole process. This trend came to light when
a student reported two family members dying prior to an exam.
Examination of the numbers of deaths over the last two decades clearly showed
a "death inflation" When the figures for all students and all exams are pooled
for each year, a disturbing outcome is seen (see Figure 2). The FDR is climbing at an accelerating rate.
Extrapolation of this curve suggests that 100 years from now the FDR will
stand at 644/100 students/exam. At that rate only the largest families would
survive even the first semester of a student's college career. Clearly
something will have to be done to reverse this trend before the entire country
is depopulated. Three possible solutions come to mind: 1. Stop giving exams. At first glance, this
seems to be the simplest answer to the problem. Like many simplistic solutions,
however, it fails to consider the full ramifications of such a course. Without
exam results, all medical schools would be forced to close their doors, having
no way of distinguishing worthy students. The resultant dearth of physicians in
the next generation would throw so many other professionals (tax accountants,
malpractice attorneys, golf pros, etc.) out of work that the economy
would go into a nosedive. Regretfully, this solution must be abandoned since it
is more dangerous than the original problem. 2. Allow only orphans to enroll at
universities. This is an extremely attractive idea, except for the
shortage of orphans. More could be created of course, but this would be
morally wrong, and in any case would replicate the very problem we are trying
to avoid i.e. excessive family deaths. 3. Have students lie to their families.
Students must never let any of their relatives know that they are at
university. (Initial field tests show that keeping just the grandmother
ignorant is neither feasible nor safe for the rest of the family.) It is not
enough merely to lie about exams; if the family doesn't know when the exams
are, they may then worry constantly and this may lead to even higher death
rates. The only solution is that the family must never be aware that the
student is even enrolled at a university. Students must pretend they are in
the armed forces, have joined some religious cult, or have been kidnapped by
aliens. All of these alternate explanations for their long absences will keep
the family ignorant of the true, dangerous, fact. Although it might be argued
that such large-scale deceptions could not be maintained for long periods, the
success of many politicians suggests otherwise. It will take time to discover whether any of these
solutions are feasible. In the interim, the problem is clearly far too
important to be ignored. Following the government's lead on so many similar,
potentially catastrophic problems (global warming, the ozone layer, and ocean
pollution), I propose that a commission be established to study the problem in
more depth. While the state is deciding on the make-up of such a committee and
what its charge should be, I would urge all members of the academic community
to start keeping their own records. If faculty throughout the country were to
send me summaries of their own knowledge about this matter, I could compile a
follow-up report for publication in a year or two.
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Formal learning is doing a course for accreditation in an institution.
What is informal learning? Several dimensions.
[The two dimensions above are in fact independent. You can have cases of
learning that is not intended by the learner, but is intended by the teacher,
who conceals the intention fromn the learner. In fact, probably most
professional kindergarten "instruction" is of this kind.]
Thus these things are learned, and are essential to formal learning; yet are
informally learned in every sense. If we implicitly assume these things,
we exclude students without them [
CMU ref:
ref1
ref2];
but if we don't assume and build on them, then we a) get enormously less
learning done; b) patronise students; c) fail to connect to their own
experience and prior learning.
http://www.cs.cmu.edu/afs/cs/project/gendergap/www/index.html
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The issue is: where can you trust online for medical advice?
New Scientist had an article based on published studies reviewing medical
quality of online sites. That plus another pointer are listed here.
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This page is about various collections of very best / favourite published
papers.
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A rare case where pictures actually do tell a story without a single word.
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This is just a brief note on the growing
attempts to apply a public health approach to mental health i.e. avoid slow,
expensive, and ineffective psychiatrists, and get people's better awareness of
the issues to improve health. It is also broadly related to
positive
psychology.
An impressive study showing this reported a reduction in suicide rate of 33%
from a series of such "educational" measures:
There is some local research in this area:
1
2
3
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My real position is that Quantitative vs. Qualitative is not quite the right
way of posing the issue
(see here).
However here's a great quote anyway:
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Reflection is a significant concept in education, partly because it is a
compulsory component of some courses; and partly because almost all of us
assume that if we only think hard and carefully about something we do, then we
will get better at it. However I have seen no evidence that this belief is
justified; and furthermore, it is far from clear that people mean the same
thing by the term as each other, or indeed that anyone understands what
exactly it means.
Partly as a consequence, I have several web pages on reflection:
A longer, but older, set of notes on this is here:
http://www.psy.gla.ac.uk/~steve/reflection.html
"Only the shallow know themselves."
What is interesting about seeing this as a paradigm of reflection is:
The 12 steps (APA version):
The original 12 steps:
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This is copied from:
http://www.qvctc.commnet.edu/people/qualed.html
A review of research by The Education Commission of the States
reveals the 12 attributes below as critical. These are drawn from
Making Quality Count in Undergraduate Education , led by
Gov. Roy Romer of Colorado, with Peter Ewell, Dennis Jones, and
Charles Lenth. The report is available for $13 from ECS
Distribution Center, 707 17th St, Suite 2700, Denver, CO 80202.
An adaptation of the report is in the AAHE Bulletin, 4/96
[1996, April ?? vol.48 ]
See also: Angelo, Thomas A. (1999, May)
"
Doing assessment as if learning matters most"
AAHE Bulletin 51(9), 3-6.
Quality is fostered by:
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(Here are other
lists of assessment principles.)
Rowntree,D. (1977)
Assessing students: How shall we know them?
(Kogan Page: London)
In 1977, Derek Rowntree published a book that ended with 17 proposals for
improving how assessment is typically done in Higher Education.
In 2007 few have been adopted, and those that have, have been forced on
academics directly or indirectly by legislation. The shameful conclusion
seems to be that politicians know better than universities what is good
educational practice.
Here are my paraphrases of those proposals.
The items that have been implemented are marked √.
(Of the 17, numbers 10,14 have been essentially implemented; 9,12 are in progress,
pushed from outside the universities, although we'll have to see whether they
do become effectively implemented.
To raise quality further, my own priorities would be: 1,5,7b,17.)
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It is often said that innovations or new practices are taken up in an
S-shaped or sigmoid curve. That is, there are broadly three phases. First
just a few take it up: early adopters, the first few percent, over a long slow
initial period of low usage; the first low slope of slow increase, and low
total use. The third phase is also a low slope and slow increase, but high
total use: these are the last reluctant ones. The second, middle phase has a
high slope of rapid increase.
This view is attributed to Everett M. Rogers, and is described in his textbook
"Diffusion of Innovations" (1962; 4th edition dated 1995; The Free
Press; New York) e.g. ch.1 p.11 fig.1-1.
In fact you will get a sigmoid curve for cumulative adoption if the underlying
rate of new adopters (new adoption events) forms a normal distribution (and
if there is no significant rate of people dropping the innovation).
Rogers also talks of pro-innovation bias: from the tendency to study only those
innovations that in fact did spread and become ubiquitous. Clearly such cases
are no guide to what determines uptake in general.
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[There's a New Scientist article, 29 Jan 2005 by Bruce Durie, on how many
senses we have.]
The only wrong answer is Aristotle's answer of 5:
vision, hearing, touch, taste, smell.
Defensible answers are:
Of course the real answer is that this is the wrong way to look at it.
Sensing doesn't cause perception: real perception is all about integrating
information across senses, across time, across space if you are (as is normal)
moving around partly in order to perceive better.
The theory of how olfaction works is still undecided, but it seems clear
enough that it is like colour perception in that:
a) There are a number of different receptor types
b) the same stimulus (odour molecule) reacts with several receptor types at
once; so that
c) it is the ratio (relative strength) of responses that tells a person which
odour it, rather than having one receptor type per detectable smell.
Dogs (bloodhounds) vs. humans: sensitivity to odours 10 million to one.
Leffingwell,J.C. (2005)
"Olfaction:
Update no.5"
Leffingwell Reports vol.2 no.1
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"The plural of anecdotes is not data" Lee Shulman.
"Homeopathic samples" Karon Mcbride.
What is true, is that at the dilutions used in homeopathy,
Avogadro's number tells us there is unlikely to be
even a single molecule left. However we have to be careful joking about this.
Apparently chemists take seriously that solid particles of a certain crystal
type, once created in a lab, can appear in labs on other continents and force
the same chemical to take that crystal form, even when not wanted. Avogadro's
number tells you this is quite possible. Every breath you take probably
contains one molecule that was exhaled by Julius Cesar: not in his lifetime
but in the very last breath he took as he died.
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It is conventional to divide the main functions of an academic into three:
teaching, research, and administration; and to note that ability at one is
unrelated to ability at the others. (I.e. an individual may be good or bad
at them in any combination.)
"Teaching" itself also consists of three or four quite different tasks, and
again, being good at one bears no relation to ability at the others:
Note that the first requires a subject expert whether or not they are a good
teacher, the second might be informed by memories of what you found useful in
learning this yourself, the last may be best done by an actor. Yet most
attempts to measure the effectiveness of a teacher measures only the last; and
much HE staff training focuses on that. To measure the first cannot be
done by comparing exam results which only makes sense for identical curricula.
Measuring the second requires alternative course designs to be compared, and
when done, these are not usually attributed to the people who did the design.
In the REAP project, and in other literature, dramatic improvements in
learning outcomes can depend on course design i.e. redesigning the learning
activities. The literature on presentation often reports that while students
have reliable opinions distinguishing what they prefer, it often doesn't
change learning outcomes for students working for credit (as opposed to
audiences only listening for interest).
N.B. these 3 roles are independently applied at many levels or time scales:
If this is applied to curriculum design, then it implies appreciating the main
difficulties in learning this particular topic and regrouping and or
sequencing the topics to improve this. Common issues are threshold concepts;
common prior (mis)conceptions; whether to begin with applications (because
they are authentic and can connect learners to motivation) or basics; dealing
with two topics together because they always arise together in everyday
experience e.g. a physicist might teach Newton's laws in one course and
friction in another, but the main barrier to believing in Newton's laws is
that almost all our experience is of contexts with friction where motion does
NOT persist in the absence of forces.
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Most of the education literature, especially that related to pedagogy and/or
technology, maintains a prudish silence about money. This renders it largely
irrelevant to practitioners and policy makers. For instance many people
believe (even if wrongly) that the ideal learning situation is to have
unlimited 1:1 time with a personal tutor. That is pedagogy solved then.
In fact education is like almost all design or construction: it is subject to
a triangle of factors. You can optimise for two at the expense of the third,
but you can't maximise all three at once.
The traditional triad of factors are:
Sometimes you would prefer to maximise or minimise a factor (e.g. the cheaper
the better); but sometimes, it is that you have to stick to a pre-determined
value e.g. it must be ready by a deadline (but little reward for being early);
must not exceed the budget (but you'll only lose any money left over).
Sometimes you can convert money to time by hiring more people or buying in
parts; but more often there isn't the time for that (recruitment and training
take time), which is why cost and time are separately listed.
Sometimes you might consider varying all 4; but often a job in effect
specifies some factors, leaving only some to be varied. You can say then that
the fixed ones are top priority, the variable ones less so.
Eg1 Time and errors in a simple task. Errors -> quality. E.g. washing the
dishes: quantity is fixed (you must do them all); cost is fixed (no money, you
have to do them); the tradeoff is between doing them fast or doing them
carefully.
Eg2 Quality first.
Sydney opera house; writing Fawlty Towers. Things you've done often have
fairly well known standard time and costs; outstandingly creative things
have unknown time and costs. The opera house ran over budget by about 10
times in both time and money, but the quality left the city with a landmark
that is recognised round the world from a glimpse. Cleese once said it took
them about 3 times longer to write the Fawlty Towers scripts than the standard
BBC allowance (in time and money); but these are the shows that are still
celebrated decades later, while others done on time and to budget were never
re-run. These are cases of putting quality first.
When a project (e.g. a road bridge) involves safety, it often means
safety-quality has to be put first (or the project cancelled without
completion).
Eg3 On time and to budget. What this means, but doesn't say, is that quality
is put last.
Perhaps unexpected corollaries of this in HE are:
These are 3 sub-aspects of quality.
Reeves,T.C. (1992) "Evaluating interactive multimedia" Educational
technology May, pp.47-52.
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Often in learning, you are really only learning how to talk about and reason
with a new idea. However when you are learning a new approach to existing
habits (e.g. a management course for managers; a slimming course for eaters; a
safety course for lab technicians who have already years of experience), then
there are 3 parts to the learning: getting the ideas, going over your familiar
environment learning how to recognise how the ideas apply to it, going over
your familiar behaviour and deciding how and when it must now be different.
Standard impoverished HE teaching really only addresses the learning and
teaching of new concepts at the public, general, abstract level. The learner,
if good, will be able to recall and use the main terms, and explain what they
mean in both formal and paraphrased ways; and perhaps apply them to examples
of the kind dealt with in the textbooks. In some cases, this then has no
impact: someone may go to such a course, but their managers may be dismayed
that it has no effect on how they do their job.
The point is for any activity where we are already reasonably experienced and
practised, we do not think out what we do from first principles, but rely
on "habits" and practised ways of acting. Merely learning new concepts does
not itself touch our behaviour nor perception. If we want the new concepts to
touch our behaviour or perception, then we need to specifically exercise these
in connection to the new ideas.
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"Reading maketh a full man, conference a ready man, and writing an exact man."
This aphorism suggests that studying, in fact I would say Higher Education (HE),
rests on 3 activities; reading, discussing, and writing.
Since Bacon is often cited as the first to publish an explicit scientific
method, we should consider whether this formula is a general educational one
and not limited to essay-based Arts subjects.
It comes from an essay by Francis Bacon in 1625, and in 1753 Samuel Johnson
wrote another essay elaborating on it (local copies).
Together they make the case for the importance of each, and how omitting any
one leads to weaknesses: all three are required for rounded learning.
We might say that they correspond to receiving ideas, interacting about / with
ideas, and generating one's own detailed idea.
This is about book learning (of declarative / conceptual ideas),
in contrast to the learning of practical skills
(as in triad 1 and triad 2).
Currently it may constitute a relevant and insightful critique of HE where
there is far too little discussion by students of ideas. The measure of this
is the number of minutes per day a given student is actually speaking about
some intellectual idea. (Listening to discussion may have some other value,
but does not count at all under this heading, as Johnson's essay makes clear
if you look at it with this question in mind.)
If we take this as a serious educational rule, then for each course we need to
consider an even division in times spent on each of reading, discussing, and
writing; and also an equal weight of assessment for each.
We might say that reading, discussing, writing correspond also to receiving,
negotiating, generating ideas; and to interaction with an expert, peers, and
oneself (reflection).
(A rather different explanation, more psychological than educational, would
explain discussing vs. writing in terms of extraversion/intraversion.
Susan Cain on the power of introverts (20 mins).
"There's zero correlation between being the best talker and having the best
ideas." Correct: but the point from Johnson is that everyone is better for
having both skills, not either/or; and regardless of the personal disposition
measured by the personality dimension.)
"I used to sit alone thinking about this and that. Sometimes I even forgot my
meals or bedtime. Still I gained very little. Later I shifted to reading
omnivorously, but I did not benefit a great deal either. At long last I came
to see that reading in a mechanical way without using my brains was no use. On
the other hand, if thinking is divorced from the reality and no due attention
is paid to reading, one will continue to feel puzzled by many things. One
should constantly review what he has learned and combine reading with
thinking. In thus making use of the theories one has learned to guide his
thought and help analyze the problems at hand, progress will be achieved."
I suggest that writing, from the standpoint of learning, plays the part of
thinking: the effort of writing forces careful thinking.
Johnson says nothing about anyone else having to read what you write: the
point is the precision and order that writing demands of you.
In that case, Confucius (two thousand years earlier) was also pointing out the
complementary requirements for reading and writing in successful learning.
If we can equate thinking and writing with
respect to their benefit to learning, then this is writing, reading, and
teaching; or doing it oneself (by thinking or writing), seeing it (by reading
another's expression of it), and teaching (i.e. discussing it with another
person). This suggests a close analogue between Bacon's aphorism for
conceptual learning, and the practice-oriented surgeon's aphorism for skill
learning: "see one, do one, teach one".
Confucius: the second quote was from Analect 7, on learning.
The analects are Confucius, as written down by his followers.
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What most of us most immediately recognise here, is that the first thing staff
do is dump their slides on line: requires no real work.
Next, we see forums created but no student activity on them.
But next again (maybe a year or two later) staff discover how to stimulate
student discussion.
Further on in the sequence, I can see echos of issues I've seen
elsewhere: for instance going beyond isolated learning activities and thinking
about piecing them together so that one leads to another (e.g. write your
first draft of an assignment, students read each others', give each other
comments, revise their own).
And at the advanced end (the bottom), I see forms of "contingent teaching"
where what the teacher picks up from the class changes what they do. Here (in
Moodle) it is about using the Survey to get feedback on student views and ways
of learning, just as Just In Time Teaching uses student answers to a
quiz to determine what the next class will address.
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"Web 2.0" is the buzzword in EdTech for 2006.
Here, a brief note for myself. Web 2.0 is a new buzzword, and is not of course
used consistently. It has about 4 areas of overlapping meaning.
The web as a platform, supporting a different set of practices. Not an
architecture at the software level. E.g. iPod <-> itunes on a desktop
PC. No software updates on the web: the source/service/doc just changes [rss
to notify actively if required].
A major feature of the "web 2.0" type web things is ease of use (for writing
as well as reading). Blogs and wikis: one click and you are editing the
page.
In contrast, VLEs require you to log on before you can do anything, then
insist you use their editor, their email etc. instead of it being integrated
into your own software and own user skills. Sinilarly many commercial
websites require you to logon, thus obstructing the user, preventing their use
being integrated seamlessly with the rest of your activities, etc.
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Just to hold some pointers to articles on wikipedia.
wikiP itself
[?] POP-creativity: popular/populist value. Here value is defined by
the group, not the individual. Where mass market appeal means large numbers
value the product, even if only a little bit. Soap operas, cheap air flights
are examples of this, because the mass market makes it economical to satisfy
demand for quite low-utility things.
Maggie Boden distinguishes:
[1] P-creativity ("Person")
[2] H-creativity ("Historical").
The former is something new to the individual person who creates it; the
latter is new to the human race. Obviously a person may re-invent something so
it is a creative mental act for them, but not a contribution to human culture
unless no-one else has done it already. Conversely, as discussed in a moment
below, we may be completely unaware of the source of our thought i.e. feel it
is an original, creative insight, yet it could be obviously (to others)
derived from someone else.
Note however that it is just our current culture (society) that makes much
of creative artists, engineers, and scientists. Medieval cathedrals, in
contrast, were designed and built by individuals we know almost nothing of: no
such social value was then put on celebrating those responsible for
"creativity". So H-creativity is not equally interesting in all societies.
And note too that our culture doesn't apply it to all things: new words are
coined all the time, but credit is not given to the originators. In fact most
people don't even know that many of our words were coined by Shakespeare: we
credit him with other kinds of creativity.
Surprise ≈ a shift in expectations more than in reality or achievement.
Summary table: types of creativity product
Types of creativity (product)
As judged by: ↓
Relative to the: →
Individual
Group
Utility
Useful / interesting as judged by whom? →
I-creativity
Idiosyncratic needs,
convenience,
curiosity
(learning) POP-creativity
Mass market appeal
e.g.cheap air travel
(teaching)
Novelty
Novel to whom? →
Objective;
Actual novelty P-creativity
A first for that person H-creativity
A first for humanity
Originality
Surprise
Surprising to whom? →
Subjective;
perceived novelty SP-creativity
Self-actualisation GP-creativity
Group acclaim, relevanceAgency, and types of process for creativity
(See also Malcolm Gladwell's book Blink.)
Why should we need purposefulness (agency) for creativity?
While a favourite type of story is of Eureka moments, where an original insight
appears in a flash, this "catastrophism" is distorting as an
account of creativity since slow, incremental, trial and
error improvements are far more common; whether of a design for a toaster, a new
jet aircraft, or a piece of writing. "Step by tedious step, we stumble away
from abject failure. And that's on a good day." [Barth Netterfield] Slow
incremental evolution ("gradualism") is a process where P-creativity, and
SP-creativity, are much less than H-creativity: the former diminishes to a
tiny value as the inventor gets sick of endless little changes, while the
H-creativity slowly goes up as the value which the product will have when the
public finally gets to see it increases. Another argument against
catastrophism as the usual mechanism of creativity are the many cases where
artifacts are used for purposes the inventor did not envisage: and so could
not possibly have "been creative" about.
I.e. this is H-creativity without P-creativity; and where the users discover
uses for the invention which the "inventor" did not know or value. It may be
that the construction of solutions is gradual, yet the experience of surprise
sudden. And/ or that creativity seems or is gradual for the individual
inventor, but sudden for society.
Help from whom or what?
As soon as you realise that creativity might not be instantaneous but iterative,
stepwise, then the question arises as to whether the inventor gets help
(information) during the creative process. They might not: some things are just
worked out in the head yet take a long time. But they might: they might get
information from experiments and observations on inanimate things. Or from a
human authority; or a collaborator; or from feedback from user testing.
In which case, should the search-director get the credit or the source of the
information? Do you own your own
genes, or do they belong to the biologist who sequences them?
Was there any intentional, directed human effort behind a new idea, or piece
of it, at all?
The main alternatives may be:
We tend to use the term "discovery" in science and geography, and to use it
for the parts separately. Also, discovery may be purposeful (searching for an
answer), intentional, and human. Yet we don't say "creative" about such
things. That may be because there is no surprise: if the question is precise
and formulated, then the existence of an answer is not surprising.
(Meta-memory again.) Climbing Everest for the first time was not surprising
for the spectators, though enough for the news.
An important point to recognise here is that all inventions or creative ideas
are in fact the mating of two parts: a) the value, purpose, function, utility:
what it is for, what problem it solves; with b) the solution, method,
device, painting that illustrates and embodies it.
This is obvious in product design, but applies equally to a poem or painting:
what distinguishes them from random noise is that some people see them as
valuable, novel, and unexpected (even though articulating that value in
descriptive language is not required and usually not done.)
In some cases it is hard to identify why we would call a case discovery rather
than creativity. In many cases however it is easy.
Summary
My overall arg. structure for the summary
Entailment of this:
Summary of possible aspects of human
Could it be a machine agent?
If software can surprise humans?
Simulations do.
Text of the section
An essential feature of creativity with significant consequences for the
process of creativity is that the essential role is not the physical
production but intellectual production, and that it is not the production of
the intellectual elements, but the fitting together of two parts (the function
or value, and the solution or method).
Thus it is the role of director or manager that is essential, not the role of
information source.
It also follows that creative processes could be classified depending on which
of the two elements came first and was the starting point for a search for the
second.
It also leads to a distinction between creativity and discovery, which is the
production of one element and without any assumption of purpose.
Conclusion: The dimensions (variable properties) of the creativity process
In summary, I propose the following dimensions of the process of creativity,
which are explored in the following tables.
The first is one of the necessary defining conditions for creativity (human
agency), while the others are dimensions on which the process of creativity
varies between instances.
Illustrative tables of the attributes of the process
This table illustrates how creations may be sudden or gradual; and how the
perception of this is different from the viewpoints of the inventor or of
others (the group).
Perceived suddenness of the creativity process
Perceived by others
Sudden
Gradual
Perceived by inventor
Sudden
Find a new species, SMS
[Neither function nor solution anticipated] NW passage, cure ulcers, 4-colour theorem proof
[Sudden solutions to long standing goals]
Gradual
Aniline dyes, PostIt
[Slow development for unanticipated utility] Fusion power, maleria vaccine
[Gradual progress on longstanding goals]
Which of the 2 parts came first?
Utility
Given
Sought
Solution
Given
Use sunken ships to create a reef
[Discovery not creativity] Aniline dyes, PostIt notes
Sought
Zero resistance electrical wire, HIV vaccine, Green automobiles
Jackson Pollock, Radium, Penicillin-Florey
[Professional inventors]Summary table: cases with the attributes of the creativity process for
each
This table compares and classifies different cases of creativity by these
process properties.
Dimensions of the creativity process
Active director?
Which part sought?
Info source?
Time
If no=> not creative
Value
Solution
Value
Solution
Inventor
Social group
Yes/No
given/sought
given/sought
Dir/Others/World
Dir/Others/World
Sudden/Gradual
Sudden/Gradual
SMS phone texting
Yes
Sought
Given
Dir/Others
Dir
Sudden
Sudden
Penicillin,Fleming
No
Given
Given
Dir
world
Sudden
-
Penicillin,Florey
Yes
Given
Sought
world
world
Gradual
Sudden
PostIt notes
Yes
Sought
Given
Dir
Dir
Gradual
Sudden
DNA fingerprinting
Yes
Sought
Given
Dir
Dir
Gradual
Sudden
Perkins' aniline dye
Yes
Sought
Given
Dir
Dir
Sudden
Sudden
Sunken ships to initiate reefs
No
Given
Given
world
world
Sudden
Sudden
Columbus
Yes
-
Dir
-
World
Gradual?
Sudden
Radium (for sci)
Yes
Sought
Sought
Dir
world/Dir
Gradual
Sudden
Painting (perspective)
Yes
Sought
Given
Dir
Others/Dir
Gradual
Gradual
JacksonPollock
Yes
Sought
Sought
Dir
Dir
Gradual
Gradual
A new species
Yes
Given
Sought
Others
World
Sudden
Sudden
Plutonium for bombs
Yes
Given
Sought
Others
world
Gradual
Sudden
Kissograms
Yes
Sought
Given
Dir
Others/Dir
Gradual
Sudden
Proof of the 4 colour theorem
Yes
Given
Sought
Others
Dir
Gradual
Gradual
Vaccine for HIV
Yes
Given
Sought
Others
Dir
Not yet achieved
Not yet achieved
Zero electrical resistance wire
?
Given
Sought
Others
World
?
gradual Assessing students on creativity
There are three ways in which we could say that creativity is already commonly
assessed in various academic disciplines, without calling it that. Some links on assessing creativity
Links / References
Boden, Margaret A. (1994) "Précis of The Creative Mind: Myths and
Mechanisms" Behavioural and Brain Sciences vol.17 no.3 pp.519-570
Boden, Margaret A. (1995). Creativity and Unpredictability.
Stanford Education and Humanities Review vol.4 no.2
Nutshell: a 10 page summary of her book.
Acknowledgements
This page has been prompted by an invitation to talk from
eSharp,
by conversations with
Marianne Patera, and with
Blay Whitby.
To be included
"It is wise to learn; it is God-like to create." John Saxe
"I would not repeat this claim if I were you," Landau replied: "There is
nothing wrong if one has not found a solution to a particular problem.
However, if one has found it but does not publish it, he shows a poor
judgment and inability to understand what important is in modern physics". ToDo
I'm weakest on the dim. of info source. Does this matter?
And I have commented on, but perhaps not resolved, the issue of the
difference between the first glimmer of each element of a creation, and
establishing a reliable procedure (not the promise of one that will work
sometimes).
Social accounting
E.g.s of task-artifact cycle: of users find new apps
Anagrams? fit in somewhere?
This needs e.g.s from:
Art
non-techno entrepreneurship
geography or biology
Problems
Insight learning ??
Reprise / Conclusion. If any final conclusion needed.
Why human?
Why agency?
Creativity =~= p-solving, not all discovery. Must have surprise (not too much purpose?)
Aristotle again for creativity -> do need a purpose = telos (utility); and
that is a human need.
(Document started on 18 Jan 2010.)
This is a WWW document maintained by
Steve Draper, installed at http://www.psy.gla.ac.uk/~steve/best/curric.html.
You may copy it.
How to refer to it.
xxxx
By
Steve Draper,
Department of Psychology,
University of Glasgow.
What's the difference between syllabus and curriculum?
Put on a web page together (under best??);
or on existing page for syllabus if it exists
or on existing page for L-objects.
Syllabus & curriculum
Alec Johnstone in a talk seemed to be using:
Syllabus = aims & objectives
Curriculum = timetable (plan of M-acts). [Willy Dunn[e] said that curriculum
was coined at UoG, and referred to the set of set books that were handed
"round" in turn. They were set content, but not time.]
But American IDs I think use curriculum for the aims.
Reigeluth (above):
Curriculum (what to teach)
Instruction (how to teach it) includes:
(= design, dev.(create resources?), impl.(adapt to local circs
=?delivery?)
Counseling
Admin.
Evaluation
Management
I.e.:
Syllabus
Curriculum
Instructional design / L-design
What does curriculum design mean?
Put this on page with
C] L-act/Lactivity hier? L-object. cf. like the books of the original
curric.
B] curric vs. syllabus (vs. L-aims vs. L-design ...)
A] ILOs, L-aim, objectives; outcomes, ...
It (A&K neoBloom book) also says intended student learning outcomes --
outcomes = objectives, curriculum standards, learning goals.
(Document started on 29 Jan 2012.)
This is a WWW document maintained by
Steve Draper, installed at http://www.psy.gla.ac.uk/~steve/best/dalecone.html.
You may copy it.
How to refer to it.
Dale's cone, spontaneous misconceptions, fraud
The bogus "Dale's cone"
By
Steve Draper,
Department of Psychology,
University of Glasgow.The issue or phenomenon
Examples:
The issue or pheno
The false cone
The real cone exists
The false Confucius
Model 1: random mutation. Scholarship's reasoned rebuttal of the
attribution
Archiv ref: model of random meme.
Thalheimer etc. doing the scholarship => the attribution (authority) is wrong.
Model 2: Analogy to other pyramids.
Theory and experiment's reasoned rebuttal of the assertion
Bloom, xref my neoBloom.
Evidence against the presupposition behind the assertions:
DrFox (even if medium, then motivation X delivery skill)
NGray: more interesting points about medium use in teaching
Ls don't know how/where they learned (so feeling of recog on seeing the cone
may be a delusion even about the reader's own experience).
(DrFox showed) it all depends on whether trying to learn, or just to be
interested/entertained.
Model 3: Spontaneous misconceptions.
The educational theory of the unreasonable endurance of this error
Other cases: I hear, I see, I do. I have to create this: doesn't seem to be
on my joke/quotes page after all.
Huge false attribs.
Viennot, SponCons as the theory of why these recur (not random bad
scholarship, but an educational reason.)
They occur in every disc. E.g. plants feeding through their roots.
Conclusion
Appendix
Why is it attractive?
The truths it falsely seems to express?
Cone / see, hear, do
Putnam
Falling asleep when forcing ourselves to read
Falling asleep over TV but not blaming ourselves
Falling asleep in conversation but not blaming ourselves
BUT cone has no "thinking" as a mode of learning
References
links
(Document started on 10 Sep 2006.)
This is a WWW document maintained by
Steve Draper, installed at http://www.psy.gla.ac.uk/~steve/best/edgen.html.
You may copy it.
How to refer to it.
General Educational Rules
By
Steve Draper,
Department of Psychology,
University of Glasgow.Background contextual truths for Learning and
Teaching
Never forget to put any current question about the learning and teaching
process against the background of some often overlooked truths.
Ausubel,D.P. (1968) Educational psychology: A cognitive
view (San Fransicso: Holt, Rinehart & Winston)
(Or Kathleen Fisher:
"Ascertain what the student misunderstands, and teach accordingly.")
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Educational jokes
By
Steve Draper,
Department of Psychology,
University of Glasgow.
Green-Armytage, P. (2002) "Colour Zones -- Connecting colour order and everyday
language" 9th Congress of the International Colour Association, Proceedings
of SPIE Vol. 4421 pp.976-979
Quoted in K.A.Bruffee (1993)Collaborative learning
True jokes
Aphorisms
The whole purpose of education is to turn mirrors into windows.
[T10, T333] - Sydney J. Harris
A.E. Housman
Education is what remains after one has forgotten what one has learned in
school. [T10]
Albert Einstein
Education is what survives when what has been learnt has been forgotten.
[T10, T9] B.F. Skinner, US psychologist New Scientist
May 21, 1964
James Truslow Adams (historian, freelance author, Pulitzer prize
winner) in "To 'Be' or to 'Do': A Note on American Education" June, 1929
Forum.
[Doris Lessing, from a letter replying
to a reader who had been seriously disturbed by reading one of her novels.
Quoted in Alan Yentob's "Imagine" TV programme on Doris Lessing, broadcast
Tues 27 May 2008, 10:35pm on BBC1]
Francis Bacon (1625) "Of studies" in Essays. See
here
and here for copies of Bacon's 1625 essay; and
here
for Samuel Johnson's 1753 follow-up.
"Those who can, do; those who can't, teach." [T1]
George Bernard Shaw in Man and Superman.
Those who can't, teach.
Those who can't teach, teach teachers.
Those who can't teach teachers, go into politics." [T1]
Muriel Barbery in The elegance of the hedgehog (2006)
A character says this in John Updike's (1968) Couples
However still easier than teaching, is just to do the task for the learner.
Which is what teachers are continually tempted into.
"Those who can, do. Those who understand, teach." [T1]
Or in full:
"With Aristotle we declare that the ultimate test of understanding rests on
one's ability to transform one's knowledge into teaching. Those who can, do.
Those who understand, teach."
Schulman, Lee S. (1986) "Those who understand:
knowledge growth in teaching." Educational Researcher
vol.15 no.2 pp.4-14
"I cannot teach anybody anything, I can only make them think." [T2]
Socrates
Green-Armytage, P. (2002) "Colour Zones -- Connecting colour order and everyday
language" 9th Congress of the International Colour Association, Proceedings
of SPIE Vol. 4421 pp.976-979
Education is one of the chief obstacles to intelligence and freedom of thought
[T3, (T6)]
Bertrand A. Russell
"Don't let school interfere with your education" [T3]
"Never let formal education get in the way of your learning." [T3]
[may be the accurate one.]
Alexander Pope (1688-1744) in An Essay on Criticism (1709)
George Eliot in ch.28 of Middlemarch (1871)
Wilde,Oscar The importance of being earnest
A.E. Housman
Do we really recommend learning from your errors?
Here's a quote from an experimental astrophysicist as his team slaves away
getting their balloon-borne telescope ready for launch:
"Step by tedious step, we stumble away from abject failure. And that's on a
good day." [T4]
Barth Netterfield, in a TV documentary on one of his research
projects
"Poor is the pupil who does not surpass his master." [T5]
Leonardo da Vinci
Zen aphorism, quoted by Allen Ginsberg
Only dead fish swim with the stream. [T6] Malcolm Muggeridge
Education costs money, but then so does ignorance. [T8]
- Sir Claus Moser (b. 1922), German-born British academic and
statistician, Warden of Wadham College, Oxford. Daily Telegraph
(London, 21 Aug. 1990).
[N.B. this doesn't say that formal education is the best investment.]
Docendo discimus: By teaching, we learn. [T333]
Seneca (AD 65) Moral Epistles 1, 7, 8
From:
"For me, the first challenge for computing science is to discover how to
maintain order in a finite, but very large, discrete universe that is
intricately intertwined. And a second, but not less important challenge is
how to mould what you have achieved in solving the first problem, into a
teachable discipline: it does not suffice to hone your own intellect (that
will join you in your grave), you must teach others how to hone theirs.
The more you concentrate on these two challenges, the clearer you will see
that they are only two sides of the same coin: teaching yourself is
discovering what is teachable."
E.W.Dijkstra.
[N.B. This distinguishes implicit and explicit. If it's implicit,
you may have learned it, but can't teach it -- at least in Dijkstra's view of
teaching here.]
I think, however, that there isn't any solution to this problem of education
other than to realize that the best teaching can be done only when there is a
direct individual relationship between a student and a good teacher -- a
situation in which the student discusses the ideas, thinks about the things,
and talks about the things. It's impossible to learn very much by simply
sitting in a lecture, or even by simply doing problems that are assigned. [T333]
- Richard Feynman
[Cf. Mitra.]
Confucius
Confucius is the Latin form of K'ung-Fu-tze (Master Kong).
550BC - 478BC or 551-479BC
in /near Shantung. Contemporary of Buddha; 100 years before Plato.
[T333]
[Comment] Confucian "learning" is always fully connected to
self-transformation.
Oscar Wilde
Wilde,Oscar The importance of being earnest
Act 1. Jack: "I know nothing, Lady Bracknell."
LB: "I am pleased to hear it. I do not approve of anything
that tampers with natural ignorance. Ignorance is like a delicate exotic
fruit; touch it and the bloom is gone. The whole theory of modern education
is radically unsound. Fortunately in England, at any rate, education produces
no effect whatsoever. If it did, it would prove a serious danger to the upper
classes, and probably lead to acts of violence in Grosvenor Square." [T3]
Benjamin Franklin [Refs to be checked.]
A learned blockhead is a greater blockhead than an ignorant one.
Experience keeps a dear school, but fools will learn in no other.
I guess I don't so much mind being old, as I mind being fat and old.
If a man empties his purse into his head, no one can take it from him.
Some links
Tags / classifications
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Effect size
By
Steve Draper,
Department of Psychology,
University of Glasgow.Some different senses of "how important"
Basic approach: StdDev units
How much of the variance is explained
xx
xx
New Sci, Gender effects table
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Gibson, Affordance
By
Steve Draper,
Department of Psychology,
University of Glasgow.
A more fundamental mechanism is analogy: recognising partial similarity
Learning will be most important toi perception where it is about learning
to do this more effectively
The most important things for an organism (to learn) to perceive are not
objects but actions the agent can achieve: i.e. affordances.
Comments, HCI, Education
Oliver, Dohn and others have commented on the problems with people's
definitions of "affordance" in the fields of HCI and Education (especially
technology and education).
They try to do conceptual analysis, and to connect the concept with
philosophical concepts. I'm going to leave them to it because I don't find
their papers illuminating of educational issues. Following my comments above
I'm going to:
References
Benjamin S. Bloom (1984) "The 2 Sigma Problem: The Search for Methods of Group
Instruction as Effective as One-to-One Tutoring"
Educational Researcher Vol.13, No.6, pp.4-16
Eastern Connecticut State University
The Connecticut Review, 1990
which was a copy from http://biology.ecsu.ctstateu.edu/People/ConnRev
which has now moved to
http://nutmeg.easternct.edu/~adams/Resources/Grannies.pdf

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Informal learning
By
Steve Draper,
Department of Psychology,
University of Glasgow.List 2: Independent dimensions?
List 1
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Good online medical help
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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Pros and cons of mistakes
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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Thoughts for the day
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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Proving a real no difference
By
Steve Draper,
Department of Psychology,
University of Glasgow.
Absence of evidence is not evidence of absence.
How to show no-difference convincingly.
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Favourite papers
By
Steve Draper,
Department of Psychology,
University of Glasgow.Jo Ferrie's favourite papers in/on qualitative research
My favourite Education papers
Wood, D. & Middleton, D. (1975) "A study of assisted problem-solving"
British j. of psychology vol.66 no.2 pp.181-191
Wood, D., Bruner,J. & Ross, G. (1976) "The role of tutoring in problem
solving" Journal of child psychiatry vol.17 pp.89-100
Wood, D., Wood, H. & Middleton, D. (1978)
"An experimental evaluation of four face-to-face teaching strategies"
Int. j. of behavioral development vol.1 pp.131-147.
The biggest published effects in Education
Chick sex
Mazur
Hake
(bloom 1:1 tut)
Biederman,I. & Shiffrar,M.M. (1987) "Sexing day old chicks: A case study,
an expert systems analysis of a difficult perceptual-learning task"
JEP: Learning, mem & cog vol.13 no.4 pp.640-645
Baddeley,A. (1997) (2nd edition) Human memory: theory and practice
p.336 (Hove: Psychology Press).
Anania, J. (1983). "The influence of instructional conditions on student
learning and achievement"
Evaluation in Education: An International Review Series
vol.7 no.1 pp.1-92 (or pp.3-76)
Burke, A.J. (1984)
Students' potential for learning contrasted under tutorial
and group approaches to instruction
(Doctoral dissertation, University of Chicago, 1983)
Dissertation Abstracts International, 44, 2025A.University of Chicago).
Not so much best, as illustrating quite different experimental logics
Perkins,K.K. and Wieman,C.E. (2005)
"The Surprising Impact of Seat Location on Student Performance"
The Physics Teacher vol.43 January pp.30-33 xxx
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Patient experience, medical education, public health
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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When pictures are worth more than words
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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Public health approaches to mental illness
By
Steve Draper,
Department of Psychology,
University of Glasgow.Public mental health
In general, the biggest saving of human life and health have not come from
improvements in treatments by doctors and hospitals, but by "public health"
measures that prevent disease: clean water, sewage systems, vaccination
programmes. Recently the idea has emerged that a similar approach to mental
disease might work far better than the current system of slow, expensive, and
not very effective treatment by specialists.
Kerry L Knox, David A Litts, G Wayne Talcott, Jill Catalano Feig & Eric D Caine
(2005)
"Risk of suicide and related adverse outcomes after exposure to a suicide prevention programme in the US Air Force: cohort study"
British Medical Journal
vol/no.327 p.1376 pp. 20 Dec 2005.
doi:10.1136/bmj.327.7428.1376
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Quantitative vs. Qualitative
By
Steve Draper,
Department of Psychology,
University of Glasgow.
"In physical science the first essential step in the direction of learning any
subject is to find principles of numerical reckoning and practicable methods
for measuring some quality connected with it. I often say that when you can
measure what you are speaking about, and express it in numbers, you know
something about it; but when you cannot measure it, when you cannot express it
in numbers, your knowledge is of a meagre and unsatisfactory kind; it may be
the beginning of knowledge, but you have scarcely in your thoughts advanced to
the state of Science, whatever the matter may be."
Lord Kelvin, PLA, vol. 1, "Electrical Units of Measurement", 1883-05-03
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Dimensions of reflection
By
Steve Draper,
Department of Psychology,
University of Glasgow.
Dimensions for categorising types of reflection; and other notes
N.B. "Reflection", besides light bouncing off surfaces, just means
"thinking" in general English. But when used technically in education, or
about "reflective practitioners" i.e. as an attribute of professional life,
then there are different and contrasting senses even here.
Witticisms
"Know thyself? If I knew myself I'd run away."
Goethe
Oscar Wilde
(Cf. it seems that part of our definition of
"creativity" is that it be
surprising: even to the creator.)
Being effective by being realistic about our weakness at reflection: the 12 steps
One could look at the 12 steps programme as all about applying reflection
remorselessly in order to correct one's behaviour.
See the wikipedia article for a summary, refs, etc.
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Romer's 12 principles for HE quality
By
Steve Draper,
Department of Psychology,
University of Glasgow.
What Research Says about Improving Undergraduate Education Peter EwellĘ
et. al. AAHE Bulletin, April 1996
A culture that values:
A curriculum with:
Instruction with:
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Rowntree's 17 proposals for better assessment
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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S-shaped curve for uptake of innovations
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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How many senses do humans have?
By
Steve Draper,
Department of Psychology,
University of Glasgow.
External chemical sensing; Senses of smell; Olfaction
Of the chemical senses of external stimuli, it (currently) appears there may
be 4 different sets of sensors:
Human sensitivity to a strong odour can be 9 parts per trillion.
A silkworm moth can detect a single molecule of pheromone.
There are some cases of significant differences in what humans smell:
like "colour blindness".
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5/12 stages/steps
By
Steve Draper,
Department of Psychology,
University of Glasgow.5 stages of grieving
12 steps
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Stats jokes
By
Steve Draper,
Department of Psychology,
University of Glasgow.
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Teaching and Learning: their nature in pictures
By
Steve Draper,
Department of Psychology,
University of Glasgow.
Generating feedback to students
What course feedback from students tells you
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The three different parts of (HE) teaching
By
Steve Draper,
Department of Psychology,
University of Glasgow.
Click to show the picture bigger.
Didactique
"Didactique": in general, this refers to expertise in teaching one subject
and the issues that are not general across all subjects.
In other words, a reminder that teaching, like research, is discipline
specific. An extended diagram
Click to show the picture bigger.
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Fast, cheap, and good: The cost-quality tradeoff triangle / quadrilateral
By
Steve Draper,
Department of Psychology,
University of Glasgow.
or in project management:
But if you follow Phillips (1996) and Reeves (1992) then for education,
time is fixed (you can only use what is ready in time for the course),
and the triangle is:
Not a triad but a quad
So really in general there are 4 factors.
Original think piece
Postcript: Vitruvius' triangle
The Roman engineer and architect Vitruvius spoke of a triangle, or triad, of
qualities that a building work should have. No mention of tradeoffs, but of
requiring all three.
References
Phillips,R. (ed.) (1996) Developer's guide to interactive multimedia: A
methodology for educational applications (Computing centre, Curtin
university of technology, Perth, Western Australia)
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The three parts of learning a new practice
By
Steve Draper,
Department of Psychology,
University of Glasgow. The triad
A triad of phases of learning is what is required (spending approximately
equal time on each) for learning to make a direct difference to the learner's
life:
Examples
Applicability
This triad may be least applicable to learning undergraduate subjects where
the student has no existing practical experience e.g. elementary particle
physics, classical literature. It will have the most applicability where the
subject is practical AND the learner has already developed habits. E.g.
health and safety in the lab for chemistry students, bioethics for biology
students, new accountancy practices for experienced administrators, hygene
(food safety) for experienced family cooks now moving into a catering job,
continuing professional development (CPD) courses for teachers with years of
experience, slimming or addiction personal retraining, cognitive behavioural
therapy. An alternative triad
The above triad is what someone designing a training course needs: three
aspects, all of which need substantial time and effort from both teacher and
learners. More theoretically, we might say (as
Laurillard does) that all (good) teaching and learning has
both abstract, general aspects and personal, practical ones; but that there
are in fact three different major kinds of the latter:
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Reading, discussing, writing
By
Steve Draper,
Department of Psychology,
University of Glasgow.Thinking
Confucius discusses the role of "thinking": shouldn't thinking (which we could
call "reflection" if it makes us feel better) be part of education? Finale
Confucius talks (at least in one translation of the Analects) of
thinking, reading, and teaching.
("Keeping silent and thinking; studying without satiety,
teaching others without weariness: these things come natural to me." [Analect
7.2])
Summary notes, as a table
Read
Discuss
Write
Bacon
Reading
Conference
Writing
Confucius
Reading
Teaching
Thinking
Surgical analogue
See one
Teach one
Do one The inner activity
Knowing (understanding)
Developing answers to critical challenges
Self-correction of facile success in argument
Virtue (if done the right amount)
A full man
A ready man
An exact man
If done too little, then to compensate you need:
Cunning to conceal your ignorance
Quick wittedness
A big memory If done too much
Sloth
Affectation
"The humour of the scholar"
Benefit(2)
Delight
Ornament
Ability
Benefit(2.2)
Amuse yourself
"Talk well" for others
Taking decisions, disposition of business.
Benefit(3)
?
Grace
Method References
They can both be found in books of their essays.
Local copies in one PDF document
See here
and here for web copies of Bacon's 1625 essay; and
here for Johnson's.
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VLEs: best and worst features
By
Steve Draper,
Department of Psychology,
University of Glasgow.Worst
[dougiamas reply: but you could invite grayling. A truly T-centric reply]
Best
In a talk, Martin Dougiamas listed the following approximate sequence in which
teachers (academics) typically started to use different types of activity
(feature) in Moodle (and no doubt this applies to other VLEs too).
The conventional negative spin on this is "Isn't it awful, you introduce a VLE
and staff just use it to dump their slides on it". (This ignores the fact
that most students welcome this if, as often, they weren't getting access to
the slides before.)
However a positive spin could be: "In the medium term, most HE staff are going
to move through this developmental progression, and end up at the top end: far
beyond where most were before in their teaching. So VLEs are a slow but
powerful scaffolding that is improving teaching practices in HE."
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Web 2.0
By
Steve Draper,
Department of Psychology,
University of Glasgow.
For a briefing, try
wikipedia.
For one version of meaning and history, try
O'Reilly's long and interesting article
The different senses
Great quotes, phrases.
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Wikipedia
By
Steve Draper,
Department of Psychology,
University of Glasgow.PsyDict project