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Concrete-Pictorial-Abstract (CPA)

A representational sequence for mathematics teaching in which learners first manipulate physical objects (Concrete), then work with pictorial models (Pictorial)…

Concrete-Pictorial-Abstract (CPA) — sketchnote

For: International school teachers · IB / MYP coordinators · Heads of department · AI leads

A representational sequence for mathematics teaching in which learners first manipulate physical objects (Concrete), then work with pictorial models (Pictorial), then move to abstract symbolic notation (Abstract) — moving back and forth among the modes to build deep conceptual understanding.

Inside this handbook: the framework distilled, the AI-integration question that matters now, and the one move you can run Monday.

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Free to print, share inside your school, or adapt with attribution.
By Vivek M Agarwal · EDodo.app · 2026