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St Anthony's Catholic Primary School

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Progression in Calculations Policy 2020 - 2021

Progression in Calculations Policy

2020 - 2021


This policy has been designed to teach children through the use of concrete, pictorial and abstract methods. This calculation policy should be used to support children to develop a deep understanding of number and calculation.


Using the Concrete-Pictorial-Abstract Approach:

Children develop an understanding of a mathematical concept through the three steps of: concrete, pictorial and abstract approach. Reinforcement is achieved by going back and forth between these representations.


Concrete Representation:

This is the first step in a child’s learning. The child is introduced to an idea or skill by acting it out with real objects. This is a ‘hands on’ component using real objects and it is the foundation for conceptual understanding.


Pictorial Representation:

Once the child has sufficiently understood the ‘hands on’ experience, they can be progressed onto relating them to pictorial representations, such as a diagram or a picture of the problem.


Abstract Representation:

This is the third step in a child’s learning. The child should now be capable of representing problems by using mathematical notation, for example: 12 ÷ 2 = 6