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Word problems : research and curriculum reform / Stephen K. Reed.

LIBRA QA63 .R4 1999
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Format:
Book
Author/Creator:
Reed, Stephen K.
Series:
Studies in mathematical thinking and learning
The studies in mathematical thinking and learning series
Language:
English
Subjects (All):
Word problems (Mathematics)--Study and teaching.
Word problems (Mathematics).
Problem solving--Study and teaching.
Problem solving.
Physical Description:
xi, 219 pages : illustrations ; 23 cm.
Place of Publication:
Mahwah, N.J. : Lawrence Erlbaum Associates, 1999.
Summary:
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.
Contents:
Part I Knowledge Structures 13
2 Learning Rules 15
3 Conceptual Understanding 28
Part II Problems 43
4 Elementary Problems 45
5 Multistep Problems 62
6 Algebra Problems 76
Part III Transfer 99
7 Abstracting Solutions 101
8 Adapting Solutions 116
9 Representing Solutions 134
Part IV Important Topics in the Nctm Standards 149
10 Wor(l)d Problems 151
11 Estimation and Functions 166
12 Curriculum Reform 184.
Notes:
Includes bibliographical references (pages 203-212) and indexes.
ISBN:
0805826602
0805826610
OCLC:
39849538

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