Word Problems: Research and Curriculum Reform

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Overview

Research by cognitive psychologists and mathematics educators has often been compartmentalized by departmental boundaries. Word Problems integrates this research to show its relevance to the debate about the reform of mathematics education.

Beginning with the different knowledge structures that represent rule learning and conceptual learning, the discussion proceeds to the application of these ideas to solving word problems. This is followed by chapters on elementary, multistep, and algebra problems, which examine similarities and differences in the cognitive skills required by students as the problems become more complex. The next section, on abstracting, adapting, and representing solutions, illustrates different ways in which solutions can be transferred to related problems. The last section focuses on topics emphasized in the NCTM Standards and concludes with a chapter that evaluates some of the programs on curriculum reform.

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Editorial Reviews

Booknews
Integrates research by cognitive psychologists and mathematics educators to show its relevance to the debate about reform of mathematics education. Discusses different knowledge structures representing rule learning and conceptual learning, then looks at application of these ideas to solving word problems. Chapters on elementary, multistep, and algebra problems examine similarities and differences in cognitive skills required by students as problems get more complex. Later chapters illustrate ways in which solutions can be transferred to related problems, and focus on topics emphasized in the NCTM Standards. The author is a professor of psychology at San Diego State University, where he is a member of the Center for Research in Mathematics and Science Education. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
1 Introduction 1
Pt. I Knowledge Structures 13
2 Learning Rules 15
3 Conceptual Understanding 28
Pt. II Problems 43
4 Elementary Problems 45
5 Multistep Problems 62
6 Algebra Problems 76
Pt. III Transfer 99
7 Abstracting Solutions 101
8 Adapting Solutions 116
9 Representing Solutions 134
Pt. IV Important Topics in the NCTM Standards 149
10 Wor(l)d Problems 151
11 Estimation and Functions 166
12 Curriculum Reform 184
References 203
Author Index 213
Subject Index 217
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