Mathematical Problem Solving

by Alan H. Schoenfeld

Mathematical Problem Solving provides information pertinent to the nature of mathematical thinking at any level. This book provides a framework for the analysis of complex problem-solving behavior. Organized into two parts encompassing 10 chapters, this book begins with an overview of the four qualitatively different aspects of complex intellectual activity, namely, cognitive resources, heuristics, control, and belief systems. This text then presents a series of empirical investigations that flesh out the analytical framework. Other chapters consider the ways that competent problem solvers make the most of the knowledge at their disposal. This book discusses as well the kind s of learning that can result from carefully designed instruction. The final chapter deals with observations made in typical high school classrooms, which serve to indicate some of the sources of students' mathematical behavior. This book is a valuable resource for mathematicians and mathematics teachers. Readers who are interested in higher-order thinking skills in any domain will also find this book useful.

Genres: Mathematics, Nonfiction, Science, Textbooks

409 pages, Hardcover

First published August 26, 1997

Reviews

[Gordon Wang · Rating 5 out of 5]

A serious book written by a well-known mathematics education researcher. I reaped multiple benefits from reading this book: First, it provides well-drawn picture about what factors influence the process and outcome of people's problem solving. And how these factors intertwine together. Second, it serves as a perfect example of digging information from messy data. The latter is especially valuable for novice researchers. Last, it makes me understand that math literature can also be presented in a humorous tone.

[Arun · Rating 5 out of 5]

One of the very few books on problem solving (especially for mathematics). Learn't a lot from the first half of the book which provides the theoretical grounding/framework on improving problem solving. I have been wanting to practice solving historical math olympiad problems and this guide will be invaluable for it. It even has a chapter on Heuristics inspired by Polya's How to Solve It.

[John · Rating 4 out of 5]

Interesting experiment in how individuals (from students to math professors) use heuristics to solve problems. Taught me a lot about how people handicap themselves and changed how I approach many new problems. I always wished there was further material by Schoenfeld on this topic.

[Mikkel Hansen · Rating 5 out of 5]

Very good introduction to research in mathematical problem solving. Should be read by anyone with a seriouse interest in mathematical problem solving.