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.
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Editorial Reviews
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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)
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Most Helpful Customer Reviews
3 of 3 people found the following review helpful:
5.0 out of 5 stars
Good read for both the educator and the student.,
By Jesse Taylor (North Idaho) - See all my reviews
This review is from: Advanced Mathematical Thinking (Mathematics Education Library) (Hardcover)
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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Inside This Book
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
34
books
cite this book:
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- The Teaching and Learning of Mathematics at University Level - An ICMI Study (NEW ICMI STUDY SERIES Volume 7) by Derek Holton on 15 pages
- Forms of Mathematical Knowledge - Learning and Teaching with Understanding by Dina Tirosh on 6 pages
- Effective Learning and Teaching in Mathematics and Its Applications (Effective Learning and Teaching in Higher Education) by Peter Kahn on 5 pages
- Perspectives on School Algebra (Mathematics Education Library, Volume 22) by R. Sutherland in Back Matter (1), Back Matter (2), and Back Matter (3)
- How to Teach Mathematics by Steven G. Krantz in Back Matter (1), Back Matter (2), and Back Matter (3)
See all 34 books citing this book
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