(Studies in Mathematical Thinking and Learning Series)
Stephen K. Reed
Lawrence Erlbaum | 1998| 232 páginas | PDF | 3,7 Mb
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Referência em: MathEduc
Contents
Preface
1 Introduction
Part I Knowledge structures
2 Learning Rules
3 Conceptual Understanding
Part II Problems
4 Elementary Problems
5 Multistep Problems
6 Algebra Problems
Part III Transfer
7 Abstracting Solutions
8 Adapting Solutions
9 Representing Solutions
Part IV Important topics in the NCTM standards
10 Wor(l)d Problems
11 Estimation and Functions
12 Curriculum Reform
Referência em: MathEduc
Descrição: 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 on 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.
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
Preface
1 Introduction
Part I Knowledge structures
2 Learning Rules
3 Conceptual Understanding
Part II Problems
4 Elementary Problems
5 Multistep Problems
6 Algebra Problems
Part III Transfer
7 Abstracting Solutions
8 Adapting Solutions
9 Representing Solutions
Part IV Important topics in the NCTM standards
10 Wor(l)d Problems
11 Estimation and Functions
12 Curriculum Reform
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