Reasoning is such an important part of Math. Unfortunately the children are often just evaluated on what they have right or wrong without the necessary attention to their reasoning skills. See the website from Gareth Metcalfe for some great resources.
Concrete, Pictorial, Abstract (CPA) is a highly effective approach to teaching that develops a deep and sustainable understanding of maths in pupils. Often referred to as the concrete, representational, abstract framework, CPA was developed by American psychologist Jerome Bruner. It is an essential technique within the Singapore method of teaching maths for mastery.
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