Hodges' Model: Welcome to the QUAD: analogy

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Showing posts with label analogy. Show all posts
Showing posts with label analogy. Show all posts

Thursday, June 12, 2025

Rain, Library, and a Poem on a Neon Line

'It is raining in the library,
and leaking between theory and practice.'

Rain by Faroese poet and novelist Carl Jóhan Jensen


My source: BBC Radio 4 The Verb. Poetry and performance with Ian McMillan.

8th June 2025. 1710-1750. https://www.bbc.co.uk/sounds/play/m002d88g

Previously: 'theory' : 'practice' : 'library' : 'poetry'

Wednesday, May 14, 2025

c/o Ridgway - assimilation & accommodation

An approach to testing and teaching

'Consider the problems of acquiring new knowledge; two ideas are particularly important. The first is that existing knowledge and conceptual structures affect the way that new materials are perceived and learned; the second is that new experiences bring about changes in our knowledge and conceptual structures. These two processes are referred to as assimilation (analogous to the way in which the stomach digests food, whose later structure cannot be recognized as being similar to its earlier structure) and accommodation (analogous to the way that the pupil of the eye adjusts itself different light levels). Biological analogies make it easier to understand these concepts but leave unresolved the question of when one accommodates and when one assimilates. In general, one accommodates (i.e. changes one's conceptual structures) when fresh knowledge provides strong challenges to what is in mind; so dramatic counter-examples to currently held beliefs, or coherent patterns in the world, which cannot be explained by existing beliefs are both likely to bring about accommodation. Assimilation (interpreting new events in terms of old ideas) can be made to work when the number of counter-examples to predictions made from old beliefs are rather low. It follows, therefore, that if misconceptions are to be remedied (i.e. the mechanism of assimilation is overcome and the mechanism of accommodation stimulated) a representative sample of questions in the domain of interest is unlikely to have the desired effect because the number of cases which violate pupils' misconceptions and which therefore  might cause accommodation, will be relatively small. To foster accommodation it is necessary to provide dramatic examples which violate current conceptions and to provide these examples in quantity. Examples which are most likely to be dramatic are those in which it is obvious to pupils that the results they are obtaining using particular misconceptions are at variance with what they 'know to be true' from everyday experience.' pp.46-47.

Jim Ridgway (1988). Assessing Mathematical Attainment. Chapter 3, Using Test Results.Windsor Berkshire. NFER-NELSON. pp.40-52. [Ack. length of quote - See also: https://www.nfer.ac.uk/ ]

Thanks to Lancaster Univ. Library.

Previously 'assimilation' : 'accommodation' : 'math'

Monday, December 09, 2024

Baseball: One of the games people play ... Fisher (2001) ii

Returning to Fisher's excellent book I mentioned an analogy from basket ball in discussion about Richard Paul's definition of critical thinking and 'thinking about your thinking'.
'Critical thinking is that mode of thinking - about any subject, content or problem - in which the thinker improves the quality of his or her thinking by skilfully taking charge of the structures inherent in thinking and imposing intellectual standards upon them. (Paul, Fisher and Nosich,1993, p. 4).' pp.4-5.
Fisher's daughter aged eleven wanted to learn how to play basket ball and attended coaching sessions. At the first the raw recruits were divided into two teams and with simplified rules set to play. Initially, getting the ball and in a position to score: shoot.

After the chaos, the coach had them practice shooting after he demonstrated how they had been playing. He explained and pointed out the basics of technique and 'drew attention to how he held the ball, where he looked, how he stood and so on.' p.5. Acknowledging their efforts, they subsequently moved on to passing, then guarding, or marking - practising each skill. 

This is a great analogy and can be applied to health, social care, medicine, nursing and other novices. Hodges' model is the basket ball, tennis, squash court, football, hockey pitch. You might move to a position to obtain an advantageous point of view. In reflective, critical thinking terms, additional data to support or negate a line of thought.

The axes of Hodges' model, serve as a scaffold to help structure our 'game player', and possibly better co-ordinate a group or team's efforts. The domains of Hodges' model cover the knowledge or subject bases that will relate to any context. Hodges' model is situated. If there is need to consider spiritual matters - experiences, then a conceptual journey ... at least, as befits an individual's or group's beliefs and purpose can be made. So forms if intelligence (emotional, cultural, spiritual ...) can also be factored in, as necessary.
 
Are there relational, logical, even mathematical standards that can be applied (formally, in theory) to our thinking? Does 'subject, content or problem' equate with 'situated'? Another book to pass on.

Fisher, A. (2001) Critical Thinking: An Introduction. Cambridge University Press, Cambridge, England. PB. 



Post: ... 'anyone for tennis'.

Thursday, December 14, 2023

Diagrams, Visualizations, Intuition and Critical Thinking QED

"The atom of Niels Bohr, a miniature solar system, had become a embarrassingly false image. ... Bohr himself had set the tone. In accepting the Nobel Prize for his atomic model, he said it was time to give up the hope of explanation in terms of analogies with everyday experience. 'We are therefore obliged to be modest in our demands and content ourselves with concepts that are formal in the sense that they do not provide a visual picture of the sort one is accustomed to require. . . .' This progress had not been altogether free of tension. 'The more I reflect on the physical portion of Schrödinger's theory, the more disgusting I find it,' was Heisenberg's 1926 comment to Pauli. 'Just imagine the rotating electron who charge is distributed over the entire space with axes in 4 or 5 dimensions. What Schrödinger writes on the visualizability of his theory . . . I consider trash.' As much as physicists valued the conceptualizing skill they called intuition, as much as they spoke of a difference between physical understanding and formal understanding, they had nevertheless learned to mistrust any picture of subatomic reality that resembled everyday experience. No more baseballs, artillery shells, or planetoids for the quantum theorists; no more idle wheels or wavy lines. Feynman's father had asked him, in the story he told many times: 'I understand that when an atom makes a transition from one state to another, it emits a particle of light called a photon. . . . Is the photon in the atom ahead of time? . . . Well, where does it come from, then? How does it come out?' No one had a mental image for this, the radiation of light, the interaction of matter with the electromagnetic field: the defining event of quantum electrodynamics." p.242.

 Individual
  |
     INTERPERSONAL    :     SCIENCES               
HUMANISTIC --------------------------------------  MECHANISTIC      
SOCIOLOGY  :   POLITICAL 
|
GROUP

reflection

critical thinking

intuition

physics

Bohr's atomic model

reflection






Gleick, J., (1992) GENIUS - Richard Feynman and modern physics, London: Little Brown and Company, p.242.

Wednesday, March 01, 2023

Metamorphosis [squared]

  INDIVIDUAL
|

INTERPERSONAL
   :     SCIENCES              

HUMANISTIC --------------------------------------  MECHANISTIC  

SOCIOLOGY
  :   POLITICAL

|

GROUP


Metamorphosis:
A Life in Pieces
...
Metamorphosis


Images: Penguin.

Kafka - https://www.wob.com/en-gb/books/franz-kafka/metamorphosis/9780140015720

... Novice to Expert, or Poetry anyone?

Wednesday, January 09, 2019

"The Ball and the Box"

individual
|
INTERPERSONAL : SCIENCES
humanistic ----------------------------------------------- mechanistic
SOCIOLOGY : POLITICAL
|
group

coming to terms with
loss - bereavement
pain
awareness
insight
understanding
communication

https://twitter.com/laurenherschel/status/946888282444460033?lang=en







See also:
Colin Murray Parkes, Brenda Bridgeman, Annie Flower, Margaret Foster, Peter Speck & Colin Murray Parkes (1995) REVIEWS, Bereavement Care, 14:2, 22-23,  

https://www.tandfonline.com/doi/abs/10.1080/02682629508657361?journalCode=rber20

Thursday, September 14, 2017

Fallding: 'model'

"The ideal type, as a case of the heuristic, resembles what is now called a model. ... He [Nagel] makes model refer simply to the mental imagery with which we clothe our theoretical entities in order to have some pictorial grasp of them : ... essentially analogies, yet they do more than help us visualize; they help our thinking to unfold by taking it in new directions. 
[Model] is taken to mean a system of concepts that is useful in mapping the variables in a field under investigation. It may be a corner of a field or the whole field of the subject: a model may be of bureaucracy, for instance, or of society in general. ... in scientific work we do not start out with an empty mind, nor even with isolated hypotheses. We start with a guess about the whole structure of our universe of discourse. The coherence that goes into this system of concepts, a coherence whereby each concept is defined by the relationship in which it stands to the others, is analogous to explanation but is not explanation in fact. For it is not an account of reality as it has been experienced" (p. 510).

Harold Fallding. Explanatory Theory, Analytical Theory and the Ideal Type. In. Thompson, K. and Tunstall, J. (eds.): Sociological Perspectives, Penguin Books, Harmondsworth, 1971.

Excerpt from Harold Fallding. (1968) The sociological task. Prentice-Hall.