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.