Contemporary Issues in Mathematics Education: Proceedings of a Conference at MSRI, December, 1996

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. 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 This Book Is The Outcome Of An Effort To Create A Dialogue About Mathematics Education That Included Mathematicians With A Wide Variety Of Views. In A Conference Held At The Mathematical Sciences Research Institute In Berkeley In 1996, More Than One Hundred Mathematics Instructors, All Dedicated To Effective Mathematics Teaching, Engaged In Meaningful And Sometimes Spirited Discussions About How Mathematics Can And Should Be Taught. The Conference Consisted Of Formal Presentations, Question And Answer Sessions, And Informal Working Groups. This Volume Contains Reports And Position Papers Stemming From All These Activities.--jacket. Keynote Address: Mathematicians As Educators / Hyman Bass -- On The Education Of Mathematics Majors / Hung-hsi Wu -- The Mathematics Major At Research Universities / Peter G. Hinman And B. Alan Taylor -- On The Role Of Proof In Calculus Courses / Thomas W. Tucker -- If I Could Talk To The Animals / Dorothy Wallace -- The Research Mathematician As Storyteller / William Yslas Velez And Joseph C. Watkins -- Redesigning The Calculus Sequence At A Research University: Issues, Implementation, And Objectives / Harvey B. Keynes, Andrea Olson And Douglas Shaw / [and Others] -- Is The Mathematics We Do The Mathematics We Teach? / Jerry Uhl And William Davis -- Japan: A Different Model Of Mathematics Education / Thomas W. Judson. Edited By Estela A. Gavosto, Steven G. Krantz, William Mccallum. Writings From The Conference On The Future Of Mathematics Education At Research Universities, Held At Msri On December 5 And 6, 1996 ... --p. [vii]. Includes Bibliographical References.