Preface

Keynote Address: Mathematicians as Educators	1

HYMAN BASS
Mathematics Education at the University	7

On the Education of Mathematics Majors
HUNG-HSI Wu
The Mathematics Major at Research Universities	25
   PETER G. HINMAN AND B. ALAN TAYLOR
On the Role of Proof in Calculus Courses	31
   THOMAS W. TUCKER
Case Studies in Mathematics Education	37
If I Could Talk to the Animals	39
   DOROTHY WALLACE
The Research Mathematician as Storyteller	45

WILLIAM YSLAS VÉLEZ AND JOSEPH C. WATKINS

Redesigning the Calculus Sequence at a Research University: Issues,
Implementation, and Objectives	57
   HARVEY B. KEYNES, ANDREA OLSON, DOUGLAS SHAW,

FREDERICK J. WICKLIN

Is the Mathematics We Do the Mathematics We Teach?	67 JERRY UHL AND WILLIAM DAVIS

Japan:	A Different Model of Mathematics Education 75 THOMAS W. JUDSON
The Debate over School Mathematics Education	83
Reflections on Teacher Education	85
   ANNELI LAX
The Third Mathematics Education Revolution	95
   RICHARD ASKEY
Instructional Materials for K--8 Mathematics Classrooms: The California
Adoption, 1997	109
   BILL JACOB
Beyond the Math Wars	123
   JUDITH ROITMAN
Afterword	135
   WILLIAM G. MCCALLUM
Reports from the Working Groups	139
How the Working Groups Worked	141
The Renewal of Teaching in Research Departments	142
   HARVEY KEYNES (DISCUSSION LEADER), AL TAYLOR, RICHARD
   FALK, LEON HENKIN, LARS-AKE LINDAHL, RICHARD
   MONTGOMERY, DAN SHAPIRO, DONALD ST. MARY, DONALD

MARTIN (REPORTER), SUSAN MONTGOMERY

The Use of Technology in the Teaching of Mathematics	145

PETER ALFELD, KIRBY BAKER, ANGELA CHEER, ESTELA

GAVOSTO (DISCUSSION LEADER), BEN HALPERIN (REPORTER),

TOM JUDSON ABEL KLEIN, GERARDO LAFFERRIERE, CHARLES

LAMB, JOHN ORR, BOB WELLAND
Different Teaching Methods	147
   GREG BAKER, DAVID EPSTEIN, TED GAMELIN, SID GRAHAM
   (REPORTER), OLE HALD (DISCUSSION LEADER), DELPHINE
   HWANG, SUZANNE LEWIS, RANDY MCCARTHY, BRAD SHELTON,

JOHN SIMS, ROBERT UNDERWOOD

The First Two Years of University Mathematics

JOSEPH BALL, CHRISTOPHER GRANT, PETER LAX, ROBERT

MEGGINSON (REPORTER), KENNETH MILLETT, WAYNE RASKIND,

THOMAS TUCKER, JOSEPH WATKINS, HUNG-HSI WU (DISCUSSION

LEADER)
CONTENTS

The Mathematics Major	156
JORGEN ANDERSEN, JOHN BROTHERS, RALPH COHEN, STEPHEN

FISHER, ANDREW GLEASON, JAMES LIN, LEA MURPHY, RICHARD

MONTGOMERY, Y. S. POON, KEN ROSS (REPORTER), ANTHONY

TROMBA (DISCUSSION LEADER)

The Education of Non-Mathematics Majors	160 ADENIRAN ADEBOYE, STEPHEN GREENFIELD, JEAN LARSON, ASHLEY REITER (REPORTER), DOROTHY WALLACE (DISCUSSION LEADER)

Outreach to Other Departments	164 CHRIS ANDERSON, BARBARA BATH, MARJORIE ENNEKING, TERRY HERDMAN (DISCUSSION LEADER), PAUL M. WEICHSEL (REPORTER)

Outreach to High Schools	167
GUNNAR CARLSSON, PHIL CURTIS, DAN FENDEL, NEAL KOBLITZ,

ANNELI LAX (DISCUSSION LEADER), JUDITH ROITMAN TOM

SALLEE (REPORTER), MARTIN SCHARLEMANN, ALINA STANCU,

ABIGAIL THOMPSON, DAVID WRIGHT, WILLIAM YSLAS VÉLEZ

Research Mathematicians and Research in Mathematics Education	170
HYMAN BASS (DISCUSSION LEADER), KENNETH BOGART, MICHAEL

FRIED, CATHY KESSELL, ALFRED MANASTER, STEVE MONK

(REPORTER), BLAKE PETERSON

Appendix:	Internet Resources in Mathematics Education 173