Contents: Preface. Part I: A Psychometric Approach.J.B. Carroll, Mathematical Abilities: Some Results from Factor Analysis. Part II: Cognitive/Information-Processing Approaches.R.E. Mayer, M. Hegarty, The Process of Understanding Mathematical Problems. T. Ben-Zeev, When Erroneous Mathematical Thinking is Just as "Correct": The Oxymoron of Rational Errors. Part III: Cognitive/Cultural Approaches.K.F. Miller, D.R. Paredes, On the Shoulders of Giants: Cultural Tools and Mathematical Development. G.B. Saxe, V. Dawson, R. Fall, S. Howard, Culture and Children's Mathematical Thinking. D.C. Geary, Biology, Culture and Cross-National Differences in Mathematical Ability. Part IV: Cognitive/Educational Approaches.H.P. Ginsburg, Toby's Math. J. Bransford, L. Zech, D. Schwartz, B. Barron, N. Vye, The Cognition and Technology Group at Vanderbilt, Fostering Mathematical Thinking in Middle School Students: Lessons from Research. Part V: Mathematical Approaches.T. Dreyfus, T. Eisenberg, On Different Facets of Mathematical Thinking. C. Rickart, Structuralism and Mathematical Thinking. Part VI: Conclusions.R.J. Sternberg, What is Mathematical Thinking?
Robert J. Sternberg, Talia Ben-Zeev
"Scholars and researcher [psychologists of every hue,
psychometricians, sociologists, philosophers, educators, teachers,
mathematicians, and policy makers] are likely to find something of
interest in The Nature of Mathematical Thinking....I will return to
several of the book's chapters because they are like binoculars
magnifying particular details that I would like to follow up in the
future."
—Journal for Research in Mathematics Education"...as a whole [the
chapters] offer a wealth of hypotheses and insights."
—The American Mathematical Monthly"The book successfully offers a
fresh perspective for researchers and theorists and at the same
time makes some of the more technical aspects of the research
accessible to nonspecialists."
—Mathematics Teacher"...this book is valuable and makes a
contribution to the cause of multidiciplinary investigations. This
book will benefit the preparation of future scholars and teachers,
too."
—Teaching Children Mathematics"The success of this volume lies in
the collection of clearly written chapters by authors who could
aptly be said to represent prominent examples of distinct
traditions in research on mathematical thinking."
—Contemporary Psychology"...this volume represents a very useful
bringing together of a broad range of approaches and will certainly
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—British Journal of Mathematical & Statistical Psychology"With such
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It does not mean she/he will find the answers to so well posed and
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The difficult task of preparing a book with such a large scope
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—Zentralblatt MATH"The volume is intended for educators and
mathematics teachers, psychologists, cognitive scientists,
mathematicians, computer scientists, anthropologist, philosophers
interested in logical-mathematical thinking, and the interested
general public. Essays are written at a level that is accessible to
this diversity of audiences."
—Zentralblatt fr Didaktik der Mathematik
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