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Problems of Representation in the Teaching and Learning of Mathematics book cover

1st Edition

Problems of Representation in the Teaching and Learning of Mathematics

Edited By Claude Janvier Copyright 1987
262 Pages
by Routledge

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... Read more

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.

Biography

Claude Janvier (1940-1998) was, at the time of original publication, based at the University of Québec at Montréal, Canada.

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