Teaching maths at Gentleshaw

Expectations are that children will cover the maths objectives for their year. However, decisions about when to progress should always be based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly should be challenged through being offered rich and sophisticated problems before any acceleration through new content. Those who are not sufficiently fluent with earlier material should consolidate their understanding, including through additional practice, before moving on.

CPA Concrete, Pictorial, Abstract approach to learning… A gradual and systematic approach which builds on a child’s existing understanding Provides children with a conceptual understanding of maths Go back and forth between stages to reinforce concepts Not prescribed to year groups but instead children progress through the stages according to their confidence Deep and sustainable understanding of maths

Concrete The ‘doing’ stage where children use real objects to solve problems. It is the basis of conceptual understanding.

Pictorial The ‘seeing’ stage where children use representations of the objects to solve problems. It encourages children to make a mental connection between the physical object and abstract levels of understanding by drawing or looking at pictures that represent the objects.

Abstract The ‘symbolic’ stage where children are able to use abstract symbols to solve problems by using mathematical notation.

Addition Objects to be combined and counted Start at the bigger number and count on Regrouping to make 10 Adding three single digits (number bonds) Column method – no regrouping Column method - regrouping

Subtraction Taking away ones Counting back Find the difference Part, part, whole Make 10 Column method – no regrouping Column method - regrouping

Multiplication Doubling Counting in multiples Repeated addition Arrays (showing commutative multiplying) Grid method Column multiplication Speedy tables

Division Sharing objects into groups Division as grouping Division within arrays Division with a remainder Short division