THE ESSENCE OF TEACHING FOR MASTERY

• Maths teaching for mastery rejects the idea that a large proportion of people ‘just can’t do maths’.

• All pupils are encouraged by the belief that by working hard at maths they can succeed.

• Pupils are taught through whole-class interactive teaching, where the focus is on all pupils working together on the same lesson content at the same time, as happens in Shanghai and several other regions that teach maths successfully. This ensures that all can master concepts before moving to the next part of the curriculum sequence, allowing no pupil to be left behind.

• If a pupil fails to grasp a concept or procedure, this is identified quickly and early intervention ensures the pupil is ready to move forward with the whole class in the next lesson. 

• Lesson design identifies the new mathematics that is to be taught, the key points, the difficult points and a carefully sequenced journey through the learning.  

• Procedural fluency and conceptual understanding are developed in tandem because each supports the development of the other.

• It is recognised that practice is a vital part of learning, but the practice used is intelligent practice that both reinforces pupils’ procedural fluency and develops their conceptual 

• Significant time is spent developing deep knowledge of the key ideas that are needed to underpin future learning. The structure and connections within the mathematics are emphasised, so that pupils develop deep learning that can be sustained.

• Key facts such as multiplication tables are learnt to automaticity to avoid cognitive overload in the working memory and enable pupils to focus on new concepts.