Maths Mastery – The majority of pupils will move through the programmes of study at broadly the same pace.... 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 (NC 2014 p3).
An approach based on mastery principles:
- makes use of mathematical representations that expose the underlying structure of the mathematics;
- helps children to make sense of concepts and achieve fluency through carefully structured questions, exercises and problems that use conceptual and procedural variation to provide ‘intelligent practice’, which develops conceptual understanding and procedural fluency in parallel;
- blends whole class discussion and precise questioning with intelligent practice and, where necessary, individual support.
Maths Mastery - The concept of teaching mathematics to mastery is to ensure that topics are well developed. Pupils will spend enough time to fully explore a concept before moving on to a different topic. As idea is well formed they reinforced by ample practice. New knowledge is then used on subsequent lessons so that all ideas build on top of each other and pupils have ample opportunity to develop relationships between the topics. Ideas are revisited in a spiral as pupils progress through the years, each time at a higher level.
By teaching mathematics in this way we will ensure the key aims of the National Curriculum are met:
- children are fluent in the fundamentals of mathematics
- children can reason mathematically
- children can solve routine and non-routine mathematical problems by applying their skills and knowledge.