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Developing Thinking in Geometry

Developing Thinking in Geometry

First Edition
Edited by:

September 2005 | 288 pages | SAGE Publications Ltd

"All readers can use this book to reignite their fascination with mathematics. Fosters not only a curiosity about geometry itself but crucially focuses on how learners can actively engage in thinking about geometry and its central key ideas."
—Sylvia Johnson, Professor, Sheffield Hallam University

"Exudes activity and interactivity. A book for learning geometry, learning to think more deeply about geometry, and also about its teaching and learning."
—David Pimm, Professor, University of Alberta

Developing Thinking in Geometry enables teachers and their support staff to experience and teach geometric thinking. Discussing key teaching principles, the book and its accompanying interactive CD-ROM include many activities encouraging readers to extend their own learning, and teaching practices.

Drawing on innovative approaches for teaching and learning geometry developed by the Open University's Centre for Mathematics Education, this resource is constructed around the following key themes:

  • Invariance
  • Language and points of view
  • Reasoning using invariance
  • Visualizing and representing

Language and Points of View
Reasoning Based on Invariant Properties
Visualising and Representing
Invariance in Measurement
Measuring Areas and Volumes
Geometrical Reasoning
Transformations and Invariants
Language and Points of View
Reasoning with Transformation Geometry
Visualising Transformations
Themes and Structure
Powers, Constructs and Strategies

An excellent book; highlighted some of the key issues with geometrical reasoning.

Miss Syreeta Charles-Cole
Teacher Education Department, Carshalton College
September 13, 2016

This text is a recommended read for student teachers, those with an interest in geometry and for the primary mathematics specialist. The book introduces the ‘big ideas’ of geometry to the reader with a varied amount of activities that help build geometrical understanding through reflection and visualisations. The book also contains a CD-ROM with an array of additional material to support geometrical understanding, including interactive activities and audio files.

Mr Manish Kothari
School of Edu. Theology and Leadership, St Mary's University, Twickenham
March 3, 2016

I would recommend the book for readers who want to develop their knowledge in geometry. This book allows me to explore different ways to solve problem and how to explain it.

Mr Frederic Turban
Mathematics, Bury College
March 8, 2012

I very much liked the structure of the book and the fact that it had many examples and points of reflection. That said I would have liked to see a chapter about 'rich' mathematical geometrical tasks and a chapter where some students' geometrical solutions were shown in detail and aspects of developing students' thinking in geometry discussed in some detail. Overall definitely a recommended text for my students.

Dr David Cooper
Education (Walsall), Wolverhampton University
February 22, 2012

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