• Summary
  • Contents
  • Subject index

This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: Making sense of foundation knowledge – focusing on what teachers know about mathematics; Transforming knowledge – representing mathematics to learners through examples, analogies, illustrations, and demonstrations; Connection – helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other; Contingency – what to do when the unexpected happens

Each chapter includes practical activities, lesson descriptions, and extracts of classroom transcripts to help teachers reflect on effective practice. Video versions of these lessons are also available on a companion website.

Transformation: Using and Understanding Representations in Mathematical Teaching
Transformation: Using and understanding representations in mathematical teaching

In Chapters 1 and 2 we started to think about the different types of knowledge needed to teach primary school mathematics and how these might be played out in teaching. In Chapter 2 you were introduced to the Knowledge Quartet as a framework for reflecting on teaching in a way that focuses on mathematical content knowledge. In the next five chapters we will discuss different aspects ...

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