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Concrete pictorial abstract

A maths teaching sequence that moves from physical objects (concrete) to pictures and diagrams (pictorial) to symbols (abstract).

Also called
CPA
Used in
All four UK nations (details may differ), International
Topic
Teaching and learning

Being checked against official sources. This definition is written in our own words; always check the official guidance for your country.

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Manipulatives All four UK nations (details may differ) United States
Physical objects such as counters, cubes or base-ten blocks used to help pupils understand maths ideas.
Teaching for mastery England
An approach to maths teaching in England, inspired by East Asian practice, in which the whole class moves through content together with deep understanding and fluency.

More terms: Teaching and learning

Co-teaching · Cognitive load theory · Cold calling · Curriculum map · Decodable book · Differentiation

More terms starting with C · Education glossary A–Z · Get a TIP for your class

Definitions are written by Classfern in our own words for teachers in the UK and the US. They are short explanations, not legal or official definitions: always check the official guidance for your country, nation or state. Classfern is not affiliated with or endorsed by any government department, inspectorate or exam board named here.