![]() The CPA maths model in Teaching for Mastery The fact that the CPA approach is a key component in maths teaching in these countries only added to the misconception. With the constant references to high achieving Asian-style Maths from East Asian countries including Singapore and Shanghai (and the much publicised Shanghai Teacher Exchange Programme), a teacher could be forgiven for believing ‘teaching for mastery’ to be something which was imported directly from these countries. Prior to 2015, the term ‘mastery’ was rarely used. This is no surprise, with ‘mastery’ being the Government’s flagship policy for improving mathematics and with millions of pounds being injected into the Teaching for Mastery programme a programme involving thousands of schools across the country. ![]() Origins of Concrete Pictorial Abstract ApproachĪnyone working in primary mathematics education can’t fail to have noticed that the word ‘maths’ is rarely heard these days without a mention of the term ‘mastery’ alongside it. Building these steps across a lesson can help pupils better understand the relationship between numbers and the real world, and therefore helps secure their understanding of the mathematical concept they are learning. ![]() Then they are asked to solve problems where they only have the abstract i.e. When they are comfortable solving problems with physical aids, they are given problems with pictures – usually pictorial representations of the concrete objects they were using. Pupils are introduced to a new mathematical concept through the use of concrete resources (e.g. The Concrete Pictorial Abstract (CPA) approach is a system of learning that uses physical and visual aids to build a child’s understanding of abstract topics. The CPA approach illustrated by one of our Third Space Learning resources What is the Concrete Pictorial Abstract in Maths? The maths curriculum is far too broad to cover in one blog, so the focus here will be on specifically how the CPA approach can be used to support the teaching and learning of the four written calculation methods. The Concrete Pictorial Abstract approach is now an essential tool in teaching maths at KS1 and KS2, so here we explain what it is, why its use is so widespread, what misconceptions there may be around using concrete resources throughout a child’s primary maths education, and how best to use the CPA approach yourself in your KS1 and KS2 maths lessons.
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