| Table of Contents |
| | Introduction | |
| 1. | Mathematics & Mathematics Education: Searching for Common Ground / Michael N. Fried | 3 |
| | Dialogue on a Dialogue | |
| 2. | Mathematics and Mathematics Education: Beginning a Dialogue in an Atmosphere of Increasing Estrangement / Michael N. Fried | 25 |
| 3. | Some of My Pet-Peeves with Mathematics Education / Theodore Eisenberg | 35 |
| 4. | Mathematics at the Center of Distinct Fields: A Response to Michael and Ted / Norma Presmeg | 45 |
| | Mutual Expectations Between Mathematics and Mathematics Education | |
| 5. | Mutual Expectations Between Mathematicians and Mathematics Educators / Tommy Dreyfus | 57 |
| | History of Mathematics, Mathematics Education, and Mathematics | |
| 6. | History in Mathematics Education. A Hermeneutic Approach / Hans Niels Jahnke | 75 |
| 7. | Reflections on History of Mathematics / Luis Radford | 89 |
| | Problem-Solving: A Problem for Both Mathematics and Mathematics Education | |
| 8. | Reflections on Problem-Solving / Boris Koichu | 113 |
| | Mathematical Literacy: What Is It and How Is It Determined? | |
| 9. | "Mathematical Literacy": An Inadequate Metaphor / E. Paul Goldenberg | 139 |
| 10. | Reflections on Mathematical Literacy / Anna Sfard | 157 |
| | Visualization in Mathematics and Mathematics Education | |
| 11. | Fifty Years of Thinking About Visualization and Visualizing in Mathematics Education: A Historical Overview / McKenzie (Ken) A. Clements | 177 |
| 12. | Reflections on Visualization in Mathematics and in Mathematics Education / Elena Nardi | 193 |
| | Justification and Proof | |
| 13. | Making Sense of Mathematical Reasoning and Proof / David Tall | 223 |
| 14. | Reflections on Justification and Proof / Keith Weber | 237 |
| | Policy: What Should We Do, and Who Decides? | |
| 15. | Mathematics and Mathematics Education Policy / Mogens Niss | 261 |
| 16. | Reflections on Policy / Nitsa Movshovitz-Hadar | 277 |
| | Collaboration Between Mathematics and Mathematics Education | |
| 17. | Mathematics and Education: Collaboration in Practice / Deborah Loewenberg Ball | 299 |
| 18. | Reflections on Collaboration Between Mathematics and Mathematics Education / Patrick W. Thompson | 313 |
| | Postscript | |
| 19. | We Must Cultivate Our Common Ground / Jeremy Kilpatrick | 337 |
| Appendix A | Homage to Ted Eisenberg | |
| | Introduction | 347 |
| | Ted as Advisor and Colleague / Tommy Dreyfus | 349 |
| | Thank You, Ted! / Francis Lowenthal | 351 |
| | Annotated Bibliography of Ted Eisenberg's Major Publications / Tommy Dreyfus | 357 |
| Appendix B | Reprints of the Dialogues Between Presmeg, Eisenberg, and Fried from ZDM 41(1--2) | |
| | Mathematics Education Research Embracing Arts and Sciences / Norma Presmeg | 361 |
| | Dialogue on Mathematics-Education: Two Points of View on the State of the Art / Michael N. Fried | 379 |
| | The Harmony of Opposites: A Response to a Response / Norma Presmeg | 391 |
| | Index | 397 |
