Mathematical Thinking and Problem Solving (eBook, PDF)

Redaktion: Schoenfeld, Alan H.; Sloane, Alan H.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 360
• Erscheinungstermin: 6. Mai 2016
• Englisch
• ISBN-13: 9781135440862
• Artikelnr.: 45093063

Autorenporträt

Alan H. Sloane, Alan H. Schoenfeld

Inhaltsangabe

Contents: Preface. J.L. Schwartz
The Role of Research in Reforming Mathematics Education: A Different Approach. M. Linn
R. Pea
A Discussion of Judah Schwartz's Chapter. B. Reznick
Some Thoughts on Writing for the Putnam. L.C. Larson
Comments on Bruce Reznick's Chapter. I. Olkin
A.H. Schoenfeld
A Discussion of Bruce Reznick's Chapter. A.H. Schoenfeld
Reflections on Doing and Teaching Mathematics. L. Henkin
J.L. Schwartz
A Discussion of Alan Schoenfeld's Chapter. J.J. Kaput
Democratizing Access to Calculus: New Routes to Old Roots. E. Dubinsky
Comments on James Kaput's Chapter. J. Confrey
E. Smith
Comments on James Kaput's Chapter. M. Cohen
A. Knoebel
D.S. Kurtz
D.J. Pengelley
Making Calculus Students Think with Research Projects. B.Y. White
R.G. Douglas
A Discussion of Cohen
Knoebel
Kurtz
and Pengelley's Chapter. E. Dubinsky
A Theory and Practice of Learning College Mathematics. R.G. Wenger
Comments on Ed Dubinsky's Chapter. A.A. diSessa
Comments on Ed Dubinsky's Chapter. S.S. Epp
The Role of Proof in Problem Solving. J.G. Greeno
Comments on Susanna Epp's Chapter. J. Addison
A Discussion of Susanna Epp's Chapter. T.A. Romberg
Classroom Instruction that Fosters Mathemical Thinking and Problem Solving: Connections Between Theory and Practice. G. Leinhardt
Comments of Thomas Romberg's Chapter. R.B. Davis
Comments on Thomas Romberg's Chapter. A.H. Schoenfeld
Epilogue.