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Developing Thinking in Geometry

Developing Thinking in Geometry

First Edition
Edited by:

August 2005 | 288 pages | SAGE Publications Ltd
'Geometry is often given less time in the teaching timetable than other aspects of mathematics. This book encourages practitioners to think about and raise its profile, indeed achieving what its title suggest' - Primary Practice

`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 enables teachers and their support staff to experience and teach geometric thinking. As well as discussing key teaching principles, the book and accompanying interactive CD include many activities that encourage readers to extend their own learning, and consequently their teaching practices.

The book is constructed around the following key themes:

- invariance;

- language and points of view;

- reasoning using invariance;

- visualising and representing.

These themes draw on teaching principles developed by the team at the Open University's Centre for Mathematics Education which has a 20-year track record of innovative approaches to teaching and learning geometry.

This is a 'must have' text for all primary mathematics specialists, secondary and Further Education mathematics teachers and their support staff. Anyone who wishes to create an understanding and enthusiasm for geometry based upon firm research and effective practice, will enjoy this book.

This is the course reader for the Open University Course ME627 Developing

Geometric Thinking

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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ISBN: 9781412911696
ISBN: 9781412911689