Mathematical Thinking and Problem Solving

Abstract

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.