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Concrete, Pictorial, Abstract

Published on Aug 30, 2016

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1.

Concrete, Pictorial, Abstract

Math makes sense!
Photo by woodleywonderworks
2.

Concrete

  • Understanding manipulatives.
  • Students are introduced to an idea or a skill by acting it out with real objects.
Like:
-Base Ten Blocks
-Tiles
-Counters
-Fraction strips
-Number Lines
-Pattern Blocks
-Connecting cubes
One of the District "Must Haves" is the use of manipulatives.
3.

Pictorial

  • Students learn to problem-solve by drawing pictures.
  • The pictures students draw represent the concrete objects students manipulated when problem-solving at the concrete level.
Like:
-Construction paper
-Erasable markers in tables or boards
-Math journal "Small group" tab
-Using grid paper (like the big roll)
4.

Abstract

  • Abstract level requires students to do this with numbers and math symbols only.
  • Abstract understanding is often referred to as, "doing math in your head."
Like:
-Problem Solving
-Paper pencil
5.

Singapore Maths No Problem Seminar video

-Singapore Maths No Problem:
http://www.mathsnoproblem.co.uk/

-Jerome Bruner CPA method: http://www.mathsnoproblem.co.uk/concrete-pictorial-abstract
Photo by Tobias Sieben
6.

Time to plan!
-Use your Scope and Sequence and Engrade Learning plan to plan your next math lesson and guided math lessons using CPA.

Jessica Kuo