EBOOK:
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[size=120%]Advanced Mathematical Thinking (Mathematics Education Library)
By D. Tall
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[size=120%]Publisher: Springer
Number Of Pages: 316
Publication Date: 1991-11-01
ISBN-10 / ASIN: 0792314565
ISBN-13 / EAN: 9780792314561
Binding: Hardcover
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[size=120%]eBook ISBN: 0-306-47203-1
Print ISBN: 0-792-31456-5
©2002 Kluwer Academic Publishers
New York, Boston, Dordrecht, London, Moscow
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Book Description:
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.