The National Curriculum for Mathematics aims to ensure that all pupils reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing arguments, justification or proof using mathematical language so that they can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

At Westfield, Reasoning and Problem solving are key elements which are interwoven into maths lessons throughout the year groups and stages of calculation. Children are given a variety of rich problems to increase their fluency and understanding at a particular stage.  The language of Maths is a key aspect to children’s fluency and understanding.  Therefore, the key vocabulary is explicitly taught and revised regularly. Children are given regular opportunities to explain their processes and understanding.