Del 0 - Mathematics Education Library

Advanced Mathematical Thinking

Inbunden, Engelska, 1991

3 159 kr

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edited by David Tall Science Education Dept., University of Warwick, Coventry, UK Series: MATHEMATICS EDUCATION LIBRARY volume: 11. This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Its three main parts focus on the nature of advanced mathematical thinking, the theory of its cognitive development, and reviews of cognitive research. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. The reviews of recent research concentrate on cognitive development and conceptual difficulties with the notions of functions, limits, infinity, analysis, proof, and the use of the computer. They provide a wide overview and an introduction to current thinking which is highly appropriate for the college professor in mathematics or the general mathematics educator. Kluwer Academic Publishers, Dordrecht. October 1991. 308 pp. Hardbound. Dfl.180.00. BrP.72.25. July 1994. 312 pp. Paperback. ISBN 0-7923-2812-4. Dfl.65.00. BrP.26.00.

Produktinformation

Utgivningsdatum1991-11-30
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieMathematics Education Library
Antal sidor292
FörlagKluwer Academic Publishers
ISBN9780792314561

Tillhör följande kategorier

The Psychology of Advanced Mathematical Thinking.- The Nature of Advanced Mathematical Thingking.- Advanced Mathematical Thinking Processes.- Mathematical Creativity.- Mathematical Proof.- Cognitive Theory of Advanced Mathematical Thinking.- The Role of Definitions in the Teaching and Learning of Mathematics.- The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts.- Reflective Abstraction in Advanced Mathematical Thinking.- Research into the Teaching and Learning of Advanced Mathematical Thinking.- Research in Teaching and Learning Mathematics at an Advanced Level.- Functions and Associated Learning Difficulties.- Limits.- Analysis.- The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory.- Research on Mathematical Proof.- Advanced Mathematical Thinking and the Computer.- Epilogue.- Reflections.

This book can help mathematics educators place their research within a broader perspective of the development of mathematical reasoning, and it can help mathematicians see the deep connections between mathematics education research and their own teaching. (Patrick W. Thompson in Journal for Research in Mathematics Education) It promises to be the standard reference work for many years to come, and a source of both information and inspiration ... The book is a most welcome distillation and resource for further development in our collective sense of what constitutes advanced mathematical thinking, and how we can make it accessible to more people. (John Mason in Zentralblatt fur Didaktik der Mathematik)

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