Contemporary Issues in Mathematics Education

by Edited by Estela A. Gavosto , Steven G. Krantz , William McCallum

• ISBN13: 9780521654715
• ISBN10: 0521654718
• Format: Paperback
• Copyright: 1999-06-13
• Publisher: Cambridge University Press

Summary

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 between theory, technique, and applications? What is the role of technology? How do we fulfil 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.

Table of Contents

Preface	xi
Keynote Address: Mathematicians as Educators	1	(6)
Hyman Bass
Mathematics Education at the University	7	(30)
On the Education of Mathematics Majors	9	(16)
Hung-Hsi Wu
The Mathematics Major at Research Universities	25	(6)
Peter G. Hinman
B. Alan Taylor
On the Role of Proof in Calculus Courses	31	(6)
Thomas W. Tucker
Case Studies in Mathematics Education	37	(46)
If I Could Talk to the Animals	39	(6)
Dorothy Wallace
The Research Mathematician as Storyteller	45	(12)
William Yslas Velez
Joseph C. Watkins
Redesigning the Calculus Sequence at a Research University: Issues, Implementation, and Objectives	57	(10)
Harvey B. Keynes
Andrea Olson
Douglas Shaw
Frederick J. Wicklin
Is the Mathematics We Do the Mathematics We Teach?	67	(8)
Jerry Uhl
William Davis
Japan: A Different Model of Mathematics Education	75	(8)
Thomas W. Judson
The Debate over School Mathematics Education	83	(56)
Reflections on Teacher Education	85	(10)
Anneli Lax
The Third Mathematics Education Revolution	95	(14)
Richard Askey
Instructional Materials for K-8 Mathematics Classrooms: The California Adoption, 1997	109	(14)
Bill Jacob
Beyond the Math Wars	123	(12)
Judith Roitman
Afterword	135	(4)
William G. McCallum
Reports from the Working Groups	139	(34)
How the Working Groups Worked	141	(1)
The Renewal of Teaching in Research Departments	142	(3)
Harvey Keynes
Al Taylor
Richard Falk
Leon Henkin
Lars-Ake Lindahl
Richard Montgomery
Dan Shapiro
Donald St. Mary
Donald Martin
Susan Montgomery
The Use of Technology in the Teaching of Mathematics	145	(2)
Peter Alfeld
Kirby Baker
Angela Cheer
Estela Gavosto
Ben Halperin
Tom Judson
Abel Klein
Gerardo Lafferriere
Charles Lamb
John Orr
Bob Welland
Different Teaching Methods	147	(4)
Greg Baker
David Epstein
Ted Gamelin
Sid Graham
Ole Hald
Delphine Hwang
Suzanne Lewis
Randy McCarthy
Brad Shelton
John Sims
Robert Underwood
The First Two Years of University Mathematics	151	(5)
Joseph Ball
Christopher Grant
Peter Lax
Robert Megginson
Kenneth Millett
Wayne Raskind
Thomas Tucker
Joseph Watkins
Hung-Hsi Wu
The Mathematics Major	156	(4)
Jorgen Andersen
John Brothers
Ralph Cohen
Stephen Fisher
Andrew Gleason
James Lin
Lea Murphy
Richard Montgomery
Y. S. Poon
Ken Ross
Anthony Tromba
The Education of Non-Mathematics Majors	160	(4)
Adeniran Adeboye
Stephen Greenfield
Jean Larson
Ashley Reiter
Dorothy Wallace
Outreach to Other Departments	164	(3)
Chris Anderson
Barbara Bath
Marjorie Enneking
Terry Herdman
Paul M. Weichsel
Outreach to High Schools	167	(3)
Gunnar Carlsson
Phil Curtis
Dan Fendel
Neal Koblitz
Anneli Lax
Judith Roitman
Tom Sallee
Martin Scharlemann
Alina Stancu
Abigail Thompson
David Wright
William Yslas Velez
Research Mathematicians and Research in Mathematics Education	170	(3)
Hyman Bass
Kenneth Bogart
Michael Fried
Cathy Kessell
Alfred Manaster
Steve Monk
Blake Peterson
Appendix: Internet Resources in Mathematics Education	173