Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives

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Table of Contents

Page: of 474

Edward A. Silver, Editor

Teaching and Learning Mathematical Problem Solving:

Multiple Research Perspectives

LAWRENCE ERLBAUM ASSOCIATES, PUBLISHERS 1985 Hillsdale, New Jersey London

-iii-

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Publication Information: Book Title: Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives. Contributors: Edward A. Silver - editor. Publisher: Lawrence Erlbaum Associates. Place of Publication: Hillsdale, NJ. Publication Year: 1985. Page Number: iii.

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Title Page

Acknowledgments

Contributors

Introduction

Contents

Part A: Problem-Solving Research: Mathematics Education Perspectives

A Retrospective Account of the Past 25 Years of Research on Teaching Mathematical Problem Solving

Methodological Considerations in Research on Mathematical Problem-Solving Instruction

Mathematical Problem Solving: Lessons from the British Experience

Part B: Problem-Solving Research: Cross-Discipline Perspectives

Implications for Mathematics Instruction of Research on Scientific Problem Solving Preparation of This Paper Was Supported in Part by National Science Foundatio n Grant Sed 79- 20592. Any Opinions, Conclusions, or Recommendations Expressed A re Those of The

Thinking Scientifically and Thinking Mathematically: A Discussion of the Paper by Heller and Hungate

Implications of Cognitive Psychology for Instruction in Mathematical Problem Solving

References

Cognitive Psychology and Mathematical Problem Solving: A Discussion of Mayer's Paper Occasional First Person Plural References Are to Work under a National Science Foundation Grant (sed 81-08134) with M. Moyer, J. Threadgill, and J. Moyer. Any O

References

Artificial Intelligence and the Learning of Mathematics: A Tutorial Sampling Preparation of This Paper Was Supported in Part by Grant Ist-8017343 of the Nationa l Science Foundation. Any Opinions, Conclusions, or Recommendations Expressed Ar e Those of the

Conclusions

Artificial Intelligence and Mathematics Education: A Discussion of Rissland's Paper

Experience, Problem Solving, and Learning Mathematics: Considerations in Developing Mathematics Curricula

References

Cognitive Theory and Curriculum Design: A Discussion of Thompson's Paper

Part C: Problem-Solving Research: Themes and Directions

Research on Teaching Mathematical Problem Solving: Some Underrepresented Themes and Needed Directions

Affective Issues in Research on Teaching Mathematical Problem Solving

References

Teachers' Conceptions of Mathematics and the Teaching of Problem Solving the Research Reported in This Paper Was Supported in Part by a Faculty Development Gran t from San Diego State University

The Teacher and Classroom Instruction: Neglected Themes in Problem-Solving Research

Conceptual Analyses of Problem-Solving Performance the Applied Mathematical Problem Solving Project and the Rational Number Project Referred to in This Paper Were Supported in Part by the National Science Foundation Grants Sed-79- 20591, Sed-80-17771, And

References

Individual Differences and Mathematical Problem Solving

Small Groups as a Setting for Research on Mathematical Problem Solving the Research Reported Here Was Partly Sponsored by a Seed Grant from the Spencer Foundation. I Wish to Thank Lee Shulman, Kathleen Gilbert-Macmillan, and Steven Leitz for Helpful Ideas

References

Metacognitive and Epistemological Issues in Mathematical Understanding

Representation and Problem Solving: Methodological Issues Related to Modeling

Problem-Solving Derailers: The Influence of Misconceptions on Problem-Solving Performance

Appendix B

Computers in Research on Mathematical Problem Solving

References

Summary

On Teaching Problem Solving and Solving the Problems of Teaching

Index

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