Mathematics Education by Lyn D. English
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Mathematics Education
By Lyn D. English

Mathematics Education

Models and Processes

By (author) See other recent books by Lyn D. English See other recent books by Graeme S. Halford
Format: Paperback

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Mathematics Education by Lyn D. English

Book Description

To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.

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Book Details

ISBN: 9780805814583
ISBN-10: 0805814582
Format: Paperback
(229mm x 152mm x 19mm)
Pages: 376
Imprint: Lawrence Erlbaum Associates Inc
Publisher: Lawrence Erlbaum Associates Inc
Publish Date: 12-Aug-1995
Country of Publication: United States

Other Editions...


Books By Author Lyn D. English

Mathematical and Analogical Reasoning of Young Learners by Lyn D. English Mathematical and Analogical Reasoning of Young Learners, Hardback (June 2004)

This book draws upon studies of the development of young children's mathematical and analogical reasoning in the United States and Australia to address a number of significant issues in the mathematical development of young children.

» View all books by Lyn D. English

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Recent books by Lyn D. English close
Handbook of International Research in Mathematics Education by Lyn D. English
Handbook of International Research in Mathematics Education by Lyn D. English
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»
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