Developing Thinking in Geometry

"This creative, innovative and fascinating book/CD package is one you MUST BUY. All prospective, new and experienced teachers of mathematics can use it to transform their teaching. All readers can use it to reignite their fascination with mathematics"
- Professor Sylvia Johnson, Sheffield Hallam University

"This book exudes activity and interactivity. Moreover, it provides challenge in the context of a significant pedagogy, one that is not just present but actually made explicit. It is undoubtedly a book to learn geometry with, but also one to learn to think more deeply about geometry, about its nature and essence, and also about its teaching and learning"
- David Pimm

Developing Thinking in Geometry has been constructed in a unique form in order to enable teachers and their support staff to experience and to teach geometric thinking to pupils aged seven to sixteen years. By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, including interactive activities on a CD, readers of this book will see how to engage all learners in successfully geometric thinking.

These themes draw on pedagogic constructs developed at The Open University Centre for Mathematics Education by a team of mathematics educators with a 20-year track record of innovative and influential approaches to teaching and learning geometry.

Contents: Introduction. BLOCK ONE: Invariance; Language and Points of View;Reasoning Based on Invariant Properties; Visualising and Representing. BLOCK TWO: Invariance in Measurement; Measuring Areas and Volumes; Geometrical Reasoning; Visualising. BLOCK THREE: Transformations and Invariants; Language and Points of View; Reasoning with Transformation Geometry; Visualising Transformations. BLOCK FOUR: Themes and Structure; Powers, Constructs and Strategies.
270 pages plus CD-ROM.