Buch, Englisch, 262 Seiten, Format (B × H): 156 mm x 234 mm
Reihe: Routledge Revivals
Buch, Englisch, 262 Seiten, Format (B × H): 156 mm x 234 mm
Reihe: Routledge Revivals
ISBN: 978-1-041-35972-2
Verlag: Taylor & Francis
As the title suggests, Problems of Representation in the Teaching and Learning of Mathematics, originally published in 1987, presents more questions than answers. Although it was prepared for those involved in research in the field of mathematics education, the editor also had in mind colleagues who assumed responsibility for the training of teachers. It was aimed at providing those concerned with basic research orientations, a fund of fundamental theoretical perspectives, research methodologies, analyses and research results. This collection of articles, after two basic introductory chapters, can be divided into two sets. The first deals with a central issue, namely the notion of translation. Each chapter of the second set addresses differently the delicate question of internal representations. Today it can be read in its historical context.
Zielgruppe
Adult education, General, and Postgraduate
Autoren/Hrsg.
Fachgebiete
- Sozialwissenschaften Psychologie Allgemeine Psychologie Kognitionspsychologie
- Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
- Sozialwissenschaften Pädagogik Pädagogik
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Entscheidungstheorie, Sozialwahltheorie
Weitere Infos & Material
Introduction Part I: First Steps into the Problem 1. Learning as a Constructive Activity Ernst von Glasersfeld 2. Representation Systems and Mathematics James J. Kaput 3. Translation Processes in Mathematics Education Claude Janvier 4. Representations and Translations Among Representations in Mathematics Learning and Problem Solving Richard Lesh, Tom Post and Merlyn Behr 5. Rational Number Relations and Proportions Richard Lesh, Merlyn Behr and Tom Post 6. Levels of Language in Mathematical Problem Solving Gerald A. Goldin 7. Representation and Understanding: The Notion of Function as an Example Claude Janvier 8. What Do Symbols Represent? John Mason 9. Phenomenology and the Evolution of Intuition Andrea diSessa Part II: Reactions to the Papers 10. Excerpts From the Conference 11. Pedagogical Considerations Concerning the Problem of Representation Bernadette Dufour-Janvier, Nadine Bednarz and Maurice Belanger Part III: First Steps to the Solution 12. Cognitive Representational Systems for Mathematical Problem Solving Gerald A. Goldin 13. Conceptions and Representations: The Circle as an Example Claude Janvier 14. Toward A Theory of Symbol Use in Mathematics James J. Kaput 15. The Evolution of Problem Representations in the Presence of Powerful Conceptual Amplifiers Richard Lesh 16. Representing Representing: Notes Following the Conference John Mason 17. Preliminaries to Any Theory of Representation Ernst von Glasersfeld 18. Conclusion Gérard Vergnaud. Author Index. Subject Index.
