Preface and Acknowledgements -- Introduction -- Mathematics and Mathematics Education: Searching for common ground: Michael N. Fried -- Chapter 1.  A Dialogue on a Dialogue -- Mathematics and Mathematics Education: Beginning a Dialogue in an Atmosphere of Increasing Estrangement: Michael N. Fried -- Some of my pet-peeves with mathematics education: Ted Eisenberg -- Mathematics at the Center of Distinct Fields: A Response to michael and Ted: Norma Presmeg -- Chapter 2.  Mutual Expectations -- Mutual Expectations between Mathematicians and Mathematics Educators : Tommy Dreyfus.-With contributions by:Uri Onn, Joanna Mamona-Downs, Stephen Lerman -- Chapter 3.  History of Mathematics, Mathematics Education, and Mathematics -- History in mathematics education. A hermeneutic approach: Hans Niels Jahnke -- Reflections on History of Mathematics: History of Mathematics and Mathematics Education: Luis Radford -- With contributions by:Alain Bernard, Michael N. Fried , Fulvia Furinghetti, Nathalie Sinclair -- Chapter 4.  Problem-Solving: A Problem for Both Mathematics and Mathematics Education -- Reflections on Problem-Solving: Problem solving in mathematics and in mathematics education: Boris Koichu -- With contributions by: Gerald A. Goldin, A. Israel Weinzweig, Shlomo Vinner, Roza Leikin -- Chapter 5.  Mathematical Literacy: What Is It and How is It Determined?.-“Mathematical Literacy”: An Inadequate Metaphor: E. Paul Goldenberg -- Reflections on Mathematical literacy : What’s new, why should we care, and what can we do about it? : Anna Sfard -- With contributions by:Abraham Arcavi, Ron Livné, Iddo Gal, Anna Sfard, Hannah Perl -- Chapter 6.  Visualization in Mathematics and Mathematics Education: Visualization in Mathematics and Mathematics Education: A Historical Overview : M. A. (Ken) Clements -- Visualization in mathematics and mathematics education: Elena Nardi (University of East Anglia) -- With contributions by: Rina Hershkowitz, Raz Kupferman , Norma Presmeg, Michal Yerushalmy -- Chapter 7.  Justification and Proof -- Making Sense of Mathematical Reasoning and Proof: David Tall -- Reflections on Justification and Proof: Justification and Proof in Mathematics and Mathematics Education: Keith Weber -- With contributions by: Gila Hanna, Guershon Harel, Ivy Kidron, Annie Selden and John Selden -- Chapter 8.  Policy: What Should We Do, and Who Decides? -- Mathematics and mathematics education policy: Mogens Niss -- Reflections on Policy: Mathematics and Mathematics Education Policy—Searching for Common Ground : Nitsa Movshovitz-Hadar -- With contributions by:Jonas Emanuelsson, Davida Fischman, Azriel Levy, Zalman Usiskin -- Chapter 9.  Collaboration -- Mathematics and Education: Collaboration in Practice: Hyman Bass -- Deborah Loewenberg Ball -- Reflections on Collaboration between Mathematics and Mathematics Education: Patrick W. Thompson -- With contributions by: Michéle Artigue, Günter Törner, Ehud de Shalit -- Postscript -- We Must Cultivate Our Common Ground: Jeremy Kilpatrick -- Appendix 1.  Ted Eisenberg, Teacher, Colleague, and Friend -- Ted as advisor and colleague: Tommy Dreyfus -- Thank you, Ted!: Francis Lowenthal -- Annotated bibliography of Ted Eisenberg’s Major Publications: Tommy Dreyfus -- Appendix 2.  Reprints of the Dialogues between Presmeg, Eisenberg, and Fried from ZDM 41(1-2).-Index.