Cycle from concrete to abstract and back

Start with a story, name the principle, then return to a new application.

Why it works

The brain builds abstract schemas by extracting patterns across multiple concrete episodes. Beginning with a concrete case activates prior knowledge and reduces cognitive load, making the abstract principle easier to encode. The return to a new concrete application tests and consolidates the schema in a way that reading the abstraction alone never would.

How to do it

1. Open with a vivid, specific story or scenario that contains the concept.
2. Extract the principle in explicit language: "The pattern here is…"
3. Challenge yourself or a learner with a new scenario: "Now apply this to…"
4. Debrief where the new application matched and where it deviated from the principle.

Evidence

This pattern aligns with Piaget’s concepts of assimilation and accommodation, and with learning research showing that concrete preparation (a case before theory) improves subsequent deep learning of the abstract principle. Schwartz and Bransford demonstrated that having learners first analyze contrasting concrete cases created "a time for telling" — the abstraction landed far more deeply when the telling followed the concrete work rather than preceding it. (observational)

Effect sizes vary; the sequence matters — concrete first, then abstract, then application performs better than abstract first in well-controlled studies.

Sources

• Schwartz & Bransford (1998), a time for telling, Cognition and Instruction
• Schwartz, D. L., & Bransford, J. D. (1998). A time for telling. Cognition and Instruction, 16(4), 475–523.

Common mistake

Teaching the principle first, then illustrating it once — this is abstract-to-concrete without the critical return leg that consolidates the schema.