• 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.

Making Connections in Mathematics Teaching
Making connections in mathematics teaching

In this book we have been developing the practical outcomes of our research into the kinds of knowledge that teachers need in order to teach mathematics well. This research led us to propose four facets, or dimensions, of this knowledge, which together we call the Knowledge Quartet. In Chapter 2 we outlined the Knowledge Quartet framework. In Chapters 3 and 4 we examined aspects of the transformation of knowledge that must be undertaken if it is to be learnt by others. In particular, we saw how abstract features of mathematics are represented and exemplified. In ...

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