Concrete-Pictorial-Abstract
Updated 2026-08-10
INTRODUCTION
English translation pending.
CORE DEFINITION
CPA, Concrete-Pictorial-Abstract, is a three-stage teaching approach developed from the representation theory of psychologist Jerome Bruner. The Concrete stage uses physical manipulation with objects such as blocks and counting rods. The Pictorial stage uses drawings and diagrams to represent the same ideas. The Abstract stage uses mathematical symbols and formulas. Following the sequence of cognitive development, learners first build intuitive understanding through hands-on action, then move gradually to abstract symbols, which secures deep and durable conceptual understanding. The success of Singapore mathematics education is largely attributed to this method.
SCAFFOLDING EFFECT
Reduce cognitive load
- Build intuition first: let learners touch and move real objects before any symbols appear. - Use drawings as the bridge: represent the same idea pictorially between the two stages. - Never skip a stage: advance only when the previous stage is fully secure.
Anchor fast decisions
Built on Bruner's three stages of representation. Concrete, pictorial and abstract follow the path of cognitive development from action to symbol, so concepts are constructed deeply rather than memorized as notation.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
account_treeGenealogyexpand_more
menu_bookReferencesexpand_more
Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/Jerome_Brunerverified
PRIVATE NOTES · Only visible to you
SAVED Q&A
ENTRY Q&A · Private saving available
Ask with a clear boundary
thinkingmodels answers from published entry context only.
Your question is sent to thinkingmodels. The answer uses public entry context only.
RELATED MODELS