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Teaching for Mastery: Shanghai Exchanges and the impact of Maths Hubs, with Kate Mole

In this episode we hear from Kate Mole, the Primary Maths and Teaching for Mastery Lead for London SW. She shares her journey into the world of international collaboration through mathematics teaching and describes the impact of Maths Hubs and the NCETM's successful Teaching for mastery programme. We also talk about life during lockdown, tips for home learning and details about the the five big ideas of coherence, representation and structure, mathematical thinking, fluency and variation.

Teaching for Mastery Impact Report:

NCETM Teaching Resources:

The Essence of Maths 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 thefocus is on allpupils 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 andearly 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. In a typical lesson pupils sit facing the teacher and the teacher leads back and forth interaction, including questioning, short tasks, explanation, demonstration, and discussion.

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 practicethat both reinforces pupils’ procedural fluency and develops their conceptual understanding.

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 and addition facts within 10 are learnt to automaticity to avoid cognitive overload in the working memory and enable pupils to focus on new concepts.

NCETM (2016)


NCETM Research Gateway -

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