Advanced Mathematical Thinking


Advanced Mathematical Thinking
Author: David Tall
Publisher: Springer Science & Business Media
ISBN: 0306472031
Size: 30.83 MB
Format: PDF, ePub
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Advanced Mathematical Thinking

Advanced Mathematical Thinking by David Tall, Advanced Mathematical Thinking Books available in PDF, EPUB, Mobi Format. Download Advanced Mathematical Thinking books, 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.


Advanced Mathematical Thinking
Language: en
Pages: 292
Authors: David Tall
Categories: Education
Type: BOOK - Published: 2006-04-11 - Publisher: Springer Science & Business Media
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
Advanced Mathematical Thinking
Language: en
Pages:
Authors: Tommy Dreyfus
Categories: Education
Type: BOOK - Published: 1995 - Publisher:
Books about Advanced Mathematical Thinking
Mathematical Proof as Formal Procept in Advanced Mathematical Thinking
Language: en
Pages: 8
Authors: Erh-Tsung Chin
Categories: Education
Type: BOOK - Published: 2003 - Publisher:
In this paper the notion of "procept" (in the sense of Gray & Tall, 1994) is extended to advanced mathematics by considering mathematical proof as "formal procept". The statement of a theorem as a symbol may theoretically evoke the proof deduction as a process that may contain sequential procedures and
Learning Abstract Algebra with ISETL
Language: en
Pages: 256
Authors: Ed Dubinsky, Uri Leron
Categories: Mathematics
Type: BOOK - Published: 2019-06-12 - Publisher: Springer-Verlag
Books about Learning Abstract Algebra with ISETL
Advanced Mathematical Thinking
Language: en
Pages: 80
Authors: Annie Selden, John Selden
Categories: Education
Type: BOOK - Published: 2013-10-15 - Publisher: Routledge
First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Forms of Mathematical Knowledge
Language: en
Pages: 252
Authors: Dina Tirosh
Categories: Education
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media
What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of
(K)ein Gespür für Zahlen
Language: de
Pages: 352
Authors: Barbara Oakley
Categories: Mathematics
Type: BOOK - Published: 2015-10-12 - Publisher: MVG Verlag
Mathematik versteht man oder eben nicht. Der eine ist dafür natürlich begabt, dem anderen bleibt dieses Fach für immer ein Rätsel. Stimmt nicht, sagt nun Barbara Oakley und zeigt mit ihrem Buch, dass wirklich jeder ein Gespür für Zahlen hat. Mathematik braucht nämlich nicht nur analytisches Denken, sondern auch den
Mathematical Thinking and Writing
Language: en
Pages: 304
Authors: Randall B. Maddox
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: Academic Press
The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance
Mathematical Thinking
Language: en
Pages: 432
Authors: John D'Angelo, Douglas West
Categories: Mathematics
Type: BOOK - Published: 2017-02-13 - Publisher: Math Classics
For one/two-term courses in Transition to Advanced Mathematics or Introduction to Proofs. Also suitable for courses in Analysis or Discrete Math. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles.
Advanced Mathematics
Language: en
Pages: 480
Authors: Stanley J. Farlow
Categories: Mathematics
Type: BOOK - Published: 2019-10-22 - Publisher: John Wiley & Sons
Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared