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Conceptualization and deep learning

Fundamental principles to choose the methods and strategies which lead to concept-based learning

English Language Teacher: Briena Stoica

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The foundation

Isaac Newton 1675:

"If I have seen further, it is by standing on the shoulders of Giants."

"We are like dwarfs sitting on the shoulders of giants. We see more, and things that are more distant, than they did, not because our sight is superior or because we are taller than they, but because they raise us up, and by their great stature add to ours.

Bernard of Chartres - recorded by John of Salisbury, 1159)

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Sursa foto: https://www.emmanuel.tas.edu.au/big-picture/2022/taking-a-step-back-and-seeing-the-bigger-picture

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Isolated facts versus conceptual relations

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Levels of knowledge

(summarized from: Anderson, L. W. & Krathwohl, D.R., et al, 2001)

REINFORCEMENT

Factual Knowledge

Conceptual Knowledge

Procedural Knowledge

Metacognitive Knowledge

The basic elements that students must know in order to become familiar with a certain discipline or to solve problems.

The interrelationships among the basic elements within a larger structure that enable them to function together.

How to do something, methods of inquiry, and criteria for using skills, algorithms, techniques, and methods.

Knowledge of cognition in general, as well as awareness and knowledge of one’s own cognition.

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3

2

4

1

.

• provide structure for a discipline

• provide a framework within which details can be more readily understood and remembered

• are the primary bridges which make transfer of learning possible

• provide the framework for lifelong learning.

Jerome Bruner – 4 functions of concepts

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Bruner (1966)

Concepts are developed through a series of stages.

the ‘enactive’ stage where learning involves concrete experiences.

the ‘iconic’ stage - where pictorial and other graphic representations are engaged.

The ‘symbolic’ stage is the final stage and where abstract notation, and symbols are considered appropriate for carrying meaning to the learner.

DEVELOPMENT OF CONCEPTUAL THINKING

(Hurrell D, 2021)

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DEFINITION

A mental construct.

(Erikson & Lanning, 2014, p. 33)

CHARACTERISTICS

Atemporal

Universal

Abstract (in varied degrees)

Examples with common attributes

Transferable

EXAMPLES

Diversity

Interdependence

Inequalities

Liberty

NON-EXAMPLES

Circumference

pH Scale

Membrane

Hamlet

FRAYER MODEL

CONCEPT

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(Ausubel, 1966, p.166)

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Relationships between ideas

The assimilation of concepts, by definition, requires the ability to establish relationships between ideas and to integrate them into the existing cognitive structure.

If I had to reduce all of educational psychology to just one principle, I would say this: The most important single factor influencing learning is what the learner already knows. Ascertain this and teach him accordingly.”

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ANCHORS

(Ausubel, 1966, p 169)

A

B

C

availability

in the learners cognitive structure of relevant anchorage necessary for the incorporation of new content

relevant ideas discriminable from the new ideas to be learned, so that the latter can be incorporated and retained as separate entities in their own right.

the stability and clarity of the relevant

cognitive structure ideas, which affect the strength of the anchorage

they provide for the new learning material

Variables which suggest certain pedagogic principles for planning efficiently the introduction of new

subject-matter material.

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STRUCTURING DATA

The conceptual lens uses an idea or concept (generally a macroconcept) to bring focus and depth to a study, facilitating the transfer of understanding and ensuring synergistic thinking.

(Erickson, 2008, p. 105)

A „hanger” (or a higher order thinking concept) on which to hang the new knowledge.

(Hattie & Yates, 2014, p. 115).

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STAGES

(Stern, Ferraro & Mohnkern, 2017, p 63)

Identify the Concepts

Build on what you know

Clarify to what extent what you know can be applied in the new context

Modify your understanding on the new situation

Generalization (+-)

Examples: the concept of revolution- injustice/oppression/conflict French/Russian Revolution/BUT The American Revolution from 1700?

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Conceptual questions to support understanding

(Stern, Ferraro & Mohnkern, 2017, p 25)

What is the relationship between ______ and ______?

How does ______ impact ______?

How do the forces of ______ and ______ interact?

What effect do _____ and ______ have on ______?

Conceptual questions should ask about the nature of the relationship between

concepts.

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3 TYPES OF QUESTIONS TO GUIDE STUDENTS THINKING

FACTUAL QUESTIONS

What habits do highly excellent people develop?

CONCEPTUAL QUESTIONS

How does the pursuit of excellence contribute to personal growth?

QUESTIONS FOR DEBATE

Should excellence be prioritized over work-life balance?

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Graphic organizers

(Ausubel, 1966, p.173)

A

B

C

D

In the case of completely unfamiliar learning material, it would be necessary to furnish only

an expository organizer to provide anchorage for the new material in terms that are already familiar to the learner.

In the case of relatively familiar learning material a comparative organizer would be used, to integrate new concepts with basically similar existing concepts in cognitive structure and to increase discriminability between new and existing ideas which are essentially different but confusably similar.

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CHARACTERISTICS OF ADVANCE ORGANISERS

(Sarah Cottingham,2023,p.84)

Presented in advance

Not too detailed/not summaries BUT activate and organize relevant existing knowledge to create a framework

Pitched for the learners – check the language, the details offered, the branching out of ideas

Logical relationships – use analogies, examples.

All kinds of organizers could be efficient: graphic, verbal, expository and comparative

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What is the difference between a graphic organizer and a graphic advance organizer? Timing and intent.

(Ausubel, 1960).

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Comparative advance organisers are useful to prevent students from mixing up two potentially confusable ideas about which they have some knowledge.

Excellence

Perfectionism

High standards

Commitment to improvement

Attention to detail

Growth-oriented

Progress and mastery

Encourages confidence and resilience

Mindset

Focus

Emotional impact

Fixed, all or nothing

Avoiding mistakes

Fear of criticism

Stress, anxiety, self-doubt

Discipline and hard work

Desire for recognition

Self- assessment

Excellence is about doing your best and growing, perfectionism is about never making mistakes.

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What are some concepts that could benefit from an analysis with the help of an advance comparative organiser in the Good Project Units?

-

-

-

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To elaborate tests effectively at least 30% of the questions should assess surface learning and 30% should aim at deep learning.

(Hattie, 2014, p.118)

HOW? �Check for meaning!

- Choose the most significant conceptual relationship from the learning unit and ask students to explain it to one another.

  • Self explanation

HOW?

Offer a new current context in which students should demonstrate an understanding of the conceptual relationship.

ASSESSMENT

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The roots = Ethics, Excellence and Engagement

The trunk = the internal transformation when a student:

Connects new knowledge to existing beliefs (Ethics)

Feels emotionally and intellectually invested (Engagement)

Develops mastery in their work (Excellence)

Alignment

Branchesimpact, actions and outcomes

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Bibliography

Anderson, L. W. & Krathwohl, D.R., et al A taxonomy for learning teaching and assessing: A revision of Bloom’s taxonomy of educational objectives. New York: Longman, 2001.

AUSUBEL David , in HERBERT J. KLAUSMEIER, CHESTER W. HARRIS, ed. Analyses of Concept Learning, Academic Press, 1966, p. 157-175. ttps://www.sciencedirect.com/science/article/pii/B9781483231273500158

Biggs, J. & Collis K. Evaluating the quality of learning: the SOLO taxonomy. Academic Press, New York, 1982.

Fullan M, Quinn J, McEachen J. Deep learning. Engage the World. Change the world. Corwin, 2018

Erickson H, Lanning L, French R Concept-based curriculum and instruction for the thinking classroom. Corwin, 2017.

Fisher, Frey & Hattie, Visible Learning for Literacy, Corwin, 2016.

Hurrell,Derek P. Conceptual knowledge and Procedural knowledge:Why the conjunction is important for teachers, Australian Journal of Teacher Education,Volume 46, Issue 2 Article 4 2021

Purwadi, I & I Gusti Putu Sudiarta, Sudiarta & Suparta, I Nengah. (2019). The Effect of Concrete-Pictorial-Abstract Strategy toward Students' Mathematical Conceptual Understanding and Mathematical Representation on Fractions. International Journal of Instruction. 12. 1113-1126. 10.29333/iji.2019.12171a.

Stern J, Ferraro K & Mohnkern J, Tools for Teaching Conceptual Understanding. Secondary. Designing Lessons and Assessments for Deep Learning. Corwin, 2017.

Stern J, Ferraro K & Mohnkern J, Tools for Teaching Conceptual Understanding.Elementary. Harnessing Natural Curiosity for Learning that Transfers. Corwin, 2018.

Cottingham Sarah, Ausubel’s Meaningful Learning in Action. John Catt, 2023.

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Thank you!