The Nature of Mathematical Thinking
Editat de Robert J Sternberg, Talia Ben-Zeeven Limba Engleză Paperback – sep 1996
The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.
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Specificații
ISBN-13: 9780805817997
ISBN-10: 0805817999
Pagini: 352
Dimensiuni: 152 x 227 x 21 mm
Greutate: 0.57 kg
Ediția:1
Editura: Taylor & Francis
ISBN-10: 0805817999
Pagini: 352
Dimensiuni: 152 x 227 x 21 mm
Greutate: 0.57 kg
Ediția:1
Editura: Taylor & Francis
Cuprins
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?