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(Co-published with NRDC) November 2006
Paperback ISBN 13: 978 1 86201 316 2
More resources for teaching & training |
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Many people find mathematics an impenetrable subject. It is a subject where it seems possible to spend many years practising skills and notations without having any substantial understanding of the underlying concepts. This book describes one systematic attempt to intervene and transform this situation. It documents the difficulties experienced by teachers and students as they attempt to adopt new approaches to teaching and learning – approaches based on collaborative discussion and reflection.
The book describes an iterative design approach to research and development in which theoretical arguments and reviews of existing research studies are brought together in the design of innovative teaching approaches. These are evaluated in typical classrooms and the outcomes lead to the further refinement of the theories and approaches. Revised approaches are then tested further on a wider scale. The emerging results reveal ways in which teaching methods in mathematics may be designed to become more effective.
CD Rom
The book includes a CD Rom which contains videos of classroom-based good
practice and teaching resources for tutors.
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‘I think Swan’s work is exemplary and that it should be widely known’ Professor Alan Schoenfeld, University of California at Berkeley
‘(it) is in my opinion up there with the best applied educational research in the UK, and the best international mathematical education research’ Professor Margaret Brown, King’s College London
‘a major contribution to mathematics education literature ... outstanding example of design research’ Dr Anne Watson, Oxford University
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| Introduction | |
| Part 1 | Eliciting design principles |
| Chapter 1 | Purposes of learning and teaching mathematics |
| Chapter 2 | Theories/metaphors for learning mathematics |
| Chapter 3 | Building conceptual structures |
| Part 2 | Implementing design principles |
| Chapter 4 | Initial study: a two-year study of four FE classrooms |
| Chapter 5 | Teachers’ beliefs and practices |
| Chapter 6 | The design tools for the research |
| Chapter 7 | Main study: the programme and its effects |
| Chapter 8 | Challenging beliefs and practices |
| Chapter 9 | A qualitative comparison of two teachers |
| Chapter 10 | Summary and conclusions |
| Index | |
| Appendices | |
| References |
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