During the past decade, mathematics education has changed rapidly, giving rise to a polarization of opinions among the community of research mathematicians. What is the appropriate balance among theory, technique, and applications? What is the role of technology? How do we fulfill the needs of students entering other fields? The purpose of this volume, the proceedings of a conference held at the Mathematical Sciences Research Institute in Berkeley in 1996, is to present a serious discussion of these educational issues, with a balanced representation of opposing ideas. Part I deals with general issues in university mathematics education; Part II presents case studies on particular projects; Part III presents a range of opinions on mathematics education in elementary and secondary schools; and Part IV presents the reports of the working groups.
Author(s): Estela A. Gavosto, Steven G. Krantz, William McCallum
Edition: 0
Year: 1999
Language: English
Pages: 187
Cover......Page 1
Copyright......Page 3
Writings from the Conference on the Future of Mathematics Educationat Research Universities, held at MSRI on December 5 and 6, 1996, andsupported in part by National Science Foundation grant DUE 9252521.......Page 4
Contents......Page 6
Preface......Page 10
Keynote Address: Mathematicians as Educators - HYMAN BASS......Page 14
Mathematics Education at the University......Page 20
On the Education of Mathematics Majors - HUNG-HSI WU......Page 22
The Mathematics Major at Research Universities - PETER G. HINMAN AND B. ALAN TAYLOR......Page 38
On the Role of Proof in Calculus Courses - THOMAS W. TUCKER......Page 44
Case Studies in Mathematics Education......Page 50
If I Could Talk to the Animals - DOROTHY WALLACE......Page 52
The Research Mathematician as Storyteller - WILLIAM YSLAS V ELEZ AND JOSEPH C. WATKINS......Page 58
Redesigning the Calculus Sequence at a Research University - HARVEY B. KEYNES, ANDREA OLSON, DOUGLAS SHAW, AND FREDERICK J. WICKLIN......Page 70
Is the Mathematics We Do the Mathematics We Teach? - JERRY UHL AND WILLIAM DAVIS......Page 80
Japan: A Different Model of Mathematics Education - THOMAS W. JUDSON......Page 88
The Debate over School Mathematics Education......Page 96
Reflections on Teacher Education - ANNELI LAX......Page 98
The Third Mathematics Education Revolution - RICHARD ASKEY......Page 108
Instructional Materialsfor K-8 Mathematics Classrooms: The California Adoption, 1997 - BILL JACOB......Page 122
Beyond the Math Wars - JUDITH ROITMAN......Page 136
Afterword - WILLIAM G. MCCALLUM......Page 148
Reports from the Working Groups......Page 152
How the Working Groups Worked......Page 154
The Renewal of Teaching in Research Departments......Page 155
The Use of Technology in the Teaching of Mathematics......Page 158
Different Teaching Methods......Page 160
The First Two Years of University Mathematics......Page 164
The Mathematics Major......Page 169
The Education of Non-Mathematics Majors......Page 173
Outreach to Other Departments......Page 177
Outreach to High Schools......Page 180
Research Mathematicians and Research in Mathematics Education......Page 183
Appendix: Internet Resources in Mathematics Education......Page 186
