Word Problems: Research and Curriculum Reform

Word Problems: Research and Curriculum Reform

by Stephen K. Reed, Lajoux Alexandra Reed
     
 

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ISBN-10: 0805826602

ISBN-13: 9780805826609

Pub. Date: 12/28/1998

Publisher: Taylor & Francis

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

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.

Product Details

ISBN-13:
9780805826609
Publisher:
Taylor & Francis
Publication date:
12/28/1998
Series:
Studies in Mathematical Thinking and Learning Series
Pages:
232
Product dimensions:
6.20(w) x 9.00(h) x 0.80(d)
Lexile:
1400L (what's this?)

Table of Contents

Prefaceix
1Introduction1
Part IKnowledge Structures13
2Learning Rules15
3Conceptual Understanding28
Part IIProblems43
4Elementary Problems45
5Multistep Problems62
6Algebra Problems76
Part IIITransfer99
7Abstracting Solutions101
8Adapting Solutions116
9Representing Solutions134
Part IVImportant Topics in the Nctm Standards149
10Wor(l)d Problems151
11Estimation and Functions166
12Curriculum Reform184
References203
Author Index213
Subject Index217

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