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Study Advanced Mathematical Thinking

Posted on 2010-03-15




Name:Study Advanced Mathematical Thinking
ASIN/ISBN:0792314565
Language:English
File size:2.1 Mb
Publish Date: 1991-11-01
ISBN: 0792314565
Pages: 316 pages
File Type: PDF
File Size: 2,1 MB
Other Info: Springer
   Study Advanced Mathematical Thinking

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D. Tall “Advanced Mathematical Thinking"

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.



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