Part I. Mathematics Education at the University: 1. On the education of mathematics majors H. Wu; 2. The mathematics major at research universities Peter G. Hinman and B. Alan Taylor; 3. On the role of proof in calculus courses Thomas W. Tucker; Part II. Case Studies in Mathematics Education: 4. If I could talk to the animals Dorothy Wallace; 5. The research mathematician as storyteller William Yslas Vlez and Joseph C. Watkins; 6. Redesigning the calculus sequence at a research university: issues, implementation, and objectives Harvey B. Keynes, Andrea Olson, Douglas Shaw, Frederick J. Wicklin; 7. Is the mathematics we do the mathematics we teach? Jerry Uhl and William Davis; 8. Japan: a different model of mathematics education Thomas W. Judson; Part III. The Debate over School Mathematics Education: 9. Reflections on teacher education Anneli Lax; 10. The third mathematics education revolution Richard Askey; 11. Instructional materials for K-8 mathematics classrooms, the California adoption, 1997 Bill Jacob; 12. Beyond the math wars Judith Roitman; Part IV. Reports from the Working Groups: 13. How the working groups worked; 14. The renewal of teaching in research departments Harvey Keynes, Al Taylor, Richard Falk, Leon Henkin, Lars-Ake Lindahl, Richard Montgomery, Dan Shapiro, Donald St. Mary, Donald Martin, Susan Montgomery; 15. The use of technology in the teaching of mathematics Peter Alfeld, Kirby Baker, Angela Cheer, Estela Gavosto, Ben Halperin, Tom Judson, Abel Klein, Gerardo Lafferriere, Charles Lamb, John Orr, Bob Welland; 16. Different teaching methods Greg Baker, David Epstein, Ted Gamelin, Sid Graham, Ole Hald, Delphine Hwang, Suzanne Lewis, Randy McCarthy, Brad Shelton, John Sims, Robert Underwood; 17. The first two years of university mathematics Joseph Ball, Christopher Grant, Peter Lax, Robert Megginson, Kenneth Millett, Wayne Raskind, Thomas Tucker, Joseph Watkins, Hung-Hsi Wu; 18. The mathematics major Jorgen Andersen, John Brothers, Ralph Cohen, Stephen Fisher, Andrew Gleason, James Lin, Lea Murphy, Richard Montgomery, Y. S. Poon, Ken Ross, Anthony Tromba; 19. The education of non-mathematics majors Adeniran Adeboye, Stephen Greenfield, Jean Larson, Ashley Reiter, Dorothy Wallace; 20. Outreach to other departments Chris Anderson, Barbara Bath, Marjorie Enneking, Terry Herdman, Paul M. Weichsel; 21. Outreach to high schools Gunnar Carlsson, Phil Curtis, Dan Fendel, Neal Koblitz, Anneli Lax, Judith Roitman, Tom Sallee, Martin Scharlemann, Alina Stancu, Abigail Thompson, David Wright, William Velez; 22. Research mathematicians and research in mathematics education Hyman Bass, Kenneth Bogart, Michael Fried, Cathy Kessell, Alfred Manaster, Steve Monk, Blake Peterson; 23. Afterword William G. McCallum; Part V. Appendices: A. Sample final exam H. Wu; B. When you find a lemon, make lemonade! Anneli Lax; C. The California math wars Bill Jacob.