Developing thinking in geometry
著者
書誌事項
Developing thinking in geometry
Paul Chapman, 2005
- : pbk.
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注記
Includes bibliographical references (p. [258]-260) and index
"The Open University in association with Paul Chapman Publishing"--on T.p.
"This is one of a series of three books on developing mathematical thinking ... Each book forms the core text to a corresponding 26 week, 30-point Open University course."--p. [viii]
CD-ROM contents: "Interactive geometry files", "Audio Files -- Imaginings","Paper resources"
内容説明・目次
内容説明
'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
目次
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
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