# Advanced Mathematical Thinking by David Tall PDF eBook

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#### Advanced Mathematical Thinking by David Tall PDF eBook

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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