Advanced Mathematical Thinking (Mathematics Education Library, 11) 1991st Edition by David Tall (PDF)

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. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

User’s Reviews

Editorial Reviews: Review 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 für Didaktik der Mathematik)

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Very interesting book on the thought processes and psychology of mathematicians and mathematics students, and their relevance to mathematics pedagogy.It seems as if the book was primarily written with teachers of mathematics in mind, and it will surely be of benefit to many of them. However, I would also strongly recommend the book to students of mathematics, who will benefit from a deeper understanding of the types of mental qualities they should try to develop to be successful mathematicians. It will also give students a better understanding of the *purpose* of all of these abstract definitions — that is, what are these books/teachers trying to instill in them? Either way, this was a very enlightening and pleasurable read. A++.

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