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Concrete Examples: Teaching Abstract Ideas (Workshop)

Abstract ideas are hard to grasp and easy to forget. Concrete examples, and several of them, make abstractions understandable and memorable, as long as you help students see the underlying principle, not just the surface of the example.

Key takeaway

Multiple concrete examples make abstract ideas understandable and memorable, but students need help seeing the underlying principle, not just the surface of each example.

Format
PLC / team meeting
Length
45 minutes
Group size
Any (works 4-40)
Who can run it
Any teacher-leader
You will need
Slides (5)Printed handoutAn abstract conceptA timer
Aligned to
Learning Forward: Rigorous ContentInTASC 8: Instructional StrategiesLearning science: concrete examples
Share / assign

Why it works

Using concrete examples to illustrate abstract concepts is a well-supported learning strategy: examples make ideas tangible and memorable. The research adds an important nuance, using several varied examples and explicitly connecting them to the abstract principle helps students transfer the idea, rather than getting stuck on the surface features of a single example.

The research: The Learning Scientists on concrete examples; research on examples and transfer.

The run-of-show

Choose your slot. The agenda, timings, and length update to match.

    The core activity: plan concrete examples for an abstract idea

    Teachers leave with several varied examples and a plan to make the principle explicit.

    Vary the examples, name the principleOne example can trap students on its surface. Several varied examples, with the principle named explicitly, build understanding that transfers.

    Facilitator notes

    One example is not enoughA single example lets students latch onto surface features. Use several and explicitly connect them to the underlying idea.

    Adapt it

    Participant handout

    One page for every teacher. Print it, or save it as a PDF.

    K12 Academics · Professional Learning

    Concrete Examples: vary them, name the principle

    <b>Make abstractions stick:</b> several varied examples, the principle made explicit, students generate their own.

    1. The abstract concept:
    2. Several varied concrete examples:
    3. How I make the principle explicit:
    4. How students generate their own example:
    5. How I check for surface fixation:

    Make it stick

    Several examples, one principle:

    Common questions

    Won't students just remember the example, not the concept?
    They can, if you use only one and never connect it to the principle. Use several varied examples and explicitly draw out the underlying idea.
    How many examples do I need?
    More than one, and varied, so students see what stays the same (the principle) across different surfaces.
    Should students generate their own examples?
    Yes, once they understand the idea, having students create their own examples is powerful elaboration and a good check.

    Go deeper

    Build it into a bigger day