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Mathematical Thinking and Problem Solving : Studies in Mathematical Thinking and Learning - Alan H. Schoenfeld

Mathematical Thinking and Problem Solving

Studies in Mathematical Thinking and Learning

By: Alan H. Schoenfeld (Editor), Alan H. Sloane (Editor)

Paperback Published: 1st September 1994
ISBN: 9780805809909
Number Of Pages: 360

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In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives.

As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.*

A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.

Contributorsp. xi
Acknowledgmentsp. xv
Prefacep. xvii
The Role of Research in Reforming Mathematics Education: A Different Approachp. 1
A Discussion of Judah Schwartz's Chapterp. 8
Some Thoughts on Writing for the Putnamp. 19
Referencesp. 29
Comments on Bruce Reznick's Chapterp. 30
Referencesp. 38
A Discussion of Bruce Reznick's Chapterp. 39
Referencesp. 51
Reflections on Doing and Teaching Mathematicsp. 53
Referencesp. 69
A Discussion of Alan Schoenfeld's Chapterp. 71
Referencesp. 75
Democratizing Access to Calculus: New Routes to Old Rootsp. 77
Referencesp. 152
Comments on James Kaput's Chapterp. 157
Referencesp. 170
Comments on James Kaput's Chapterp. 172
Referencesp. 191
Making Calculus Students Think with Research Projectsp. 193
Referencesp. 208
A Discussion of Cohen, Knoebel, Kurtz, and Pengelley's Chapterp. 209
A Theory and Practice of Learning College Mathematicsp. 221
Referencesp. 242
Comments on Ed Dubinsky's Chapterp. 244
Referencesp. 246
Comments on Ed Dubinsky's Chapterp. 248
Acknowledgmentsp. 256
Referencesp. 256
The Role of Proof in Problem Solvingp. 257
Referencesp. 268
Comments on Susanna Epp's Chapterp. 270
Acknowledgmentsp. 277
Referencesp. 277
A Discussion of Susanna Epp's Chapterp. 279
Classroom Instruction That Fosters Mathematical Thinking and Problem Solving: Connections Between Theory and Practicep. 287
Acknowledgmentsp. 302
Acknowledgmentsp. 303
Comments on Thomas Romberg's Chapterp. 305
Referencesp. 311
Comments on Thomas Romberg's Chapterp. 312
Referencesp. 321
Epiloguep. 323
Author Indexp. 327
Subject Indexp. 333
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780805809909
ISBN-10: 0805809902
Series: Studies in Mathematical Thinking and Learning
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 360
Published: 1st September 1994
Country of Publication: US
Dimensions (cm): 23.5 x 16.56  x 2.54
Weight (kg): 0.59
Edition Number: 1