| Description |
1 online resource (xxii, 288 pages) : illustrations |
| Series |
Mathematics education library ; volume 23 |
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Mathematics education library ; v. 23.
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| Contents |
Foreword to the English Edition -- Preface -- Introduction -- Part I: Epistemological Analysis of the Genesis of the Theory of Vector Spaces. 1. Introduction. 2. Analytical and Geometrical Origins. 3. Towards a Formal Axiomatic Theory. 4. Conclusion. 5. Notes -- Part II: Teaching and Learning Issues. 1. The Obstacle of Formalism in Linear Algebra. 2. Level of Conceptualization and Secondary School Math Education. 3. The Teaching Experimented in Lille. 4. The Meta Lever. 5. Three Principles of Learning and Teaching Mathematics. 6. Modes of Description and the Problem of Representation in Linear Algebra. 7. On Some Aspects of Students' Thinking in Linear Algebra. 8. Presentation of Other Research Works. Conclusion. Notes on Contributors. Index |
| Summary |
This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It aims at giving to university teachers in charge of linear algebra courses a wide range of information from works including theoretical and experimental issues. These works try to better understand the meaning of linear algebra in an epistemological approach, as well as the constraints and the difficulties in its teaching and learning. They also present teaching designs with the analysis of their experimentation. However, it would be vain to expect a miraculous way for teaching linear algebra, rather elements of reflection are given to the reader with keys for his or her own experimentation. Through the variety of the works presented, this book also discusses theoretical issues which are consistent for all research in maths education at tertiary level |
| Bibliography |
Includes bibliographical references and index |
| Notes |
"A first version of this book was published, in French, under the title, L'Enseignement de l'Algèbre Linéaire en Question, by La Pensée Sauvage Édition (Grenoble) in 1997. It was the result of a collaboration between French, Brazilian, Moroccan and North American research teams for which the issue of linear algebra teaching was a central research interest. The present English edition is not just a mere translation of the original. Most chapters have been revised according to new results, the report of a new research work has been integrated into the last chapter and Sierpinska's contribution has been totally renewed. Moreover, the introduction and the conclusion have been renewed and adapted to a more international audience."--Page [xii] |
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Print version record |
| Subject |
Algebras, Linear -- Study and teaching
|
|
MATHEMATICS -- Algebra -- Linear.
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Algebras, Linear -- Study and teaching
|
| Form |
Electronic book
|
| Author |
Dorier, Jean-Luc.
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| ISBN |
0306472244 |
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9780306472244 |
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