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Developing thinking in algebra
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London : Paul Chapman Publishing, 2005
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PSZ KL 30000010135747 QA159 M37 2005 Open Access Book
SPACE KL Main Library 30000010078069 QA159 M37 2005 Open Access Book
SPACE Kuching Library 30000010078068 QA159 M37 2005 Open Access Book

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'Mason, Graham, and Johnston-Wilder have admirably succeeded in casting most of school algebra in terms of generalisation activity? not just the typical numerical and geometric pattern-based work, but also solving quadratics and simultaneous equations, graphing equations, and factoring. The authors raise our awareness of the scope of generalization and of the power of using this as a lens not just for algebra but for all of mathematics!' - Professor Carolyn Kieran, Departement de Mathematiques, Universite du Quebec a Montreal Algebra has always been a watershed for pupils learning mathematics. This book will enable you to think about yourself as a learner of algebra in a new way, and thus to teach algebra more successfully, overcoming difficulties and building upon skills that all learners have. This book is based 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 algebra. Written for teachers working with pupils aged 7-16, it includes numerous tasks ready for adaption for your teaching and discusses principles that teachers have found useful in preparing and conducting lessons. This is a 'must have' resource for all teachers of mathematics, primary or secondary, and their support staff. Anyone who wishes to create an understanding and enthusiasm for algebra, based upon firm research and effective practice, will enjoy this book. This book is the course reader for The Open University Course ME625 Developing Algebraic Thinking

Table of Contents

Part 1 First Encounters with Expressing Generality
Using Mathematical Powers; Meeting Mathematical Themes
Using Symbols
Depicting Relationships
Part 2 More Experience of Expressing Generality
More on Powers, More on Themes
Symbol Manipulation
Changing Representations
Part 3 Yet More Expressing Generality
Solving Problems
Graphs and Diagrams
Part 4 Themes and Structure
Powers, Constructs and Strategies
Final Reflections