The National Curriculum for mathematics aims to ensure all pupils:
- Become fluent in the fundamentals of mathematics so that they are efficient in using and selecting the appropriate written algorithms and mental methods, underpinned by mathematical concepts
- Can solve problems by applying their mathematics to a variety of problems with increasing sophistication including in unfamiliar contexts and to model real-life scenarios
- Can reason mathematically by following a line of enquiry and develop and present a justification, argument or proof using mathematical language.
Pupils are taught the quick and accurate mental recall of facts, precision and confidence in using mathematical concepts, properties and symbols and the competent and flexible selection and application of methods in different contexts. Pupils are
taught problem solving skills requiring analysing information presented in different forms, recognising what is given information and what additional information is needed; identifying and conjecturing patterns, relationships and generalisations; testing, inducing, deducing and proving and communicating ideas effectively. They are also taught to break down problems into a series of simpler problems or steps.
The Programmes of Study are organised in a distinct sequence and structured into separate areas. Each Programme of Study is set out year-by-year in Mathematics and by the end of each Key Stage pupils are expected to have the knowledge, skills and understanding of the matters taught in the relevant Programme of Study.