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 cogniti...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht ; Boston :
Kluwer Academic Publishers,
[1991]
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| Series: | Mathematics education library ;
v. 11. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xvii, 289 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 261-274) and index. |
| ISBN: | 0306472031 (electronic bk.) 9780306472039 (electronic bk.) |