Raymond Nickerson

Mathematical Reasoning (eBook, PDF)

Patterns, Problems, Conjectures, and Proofs

• Format: PDF

Produktbeschreibung

The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores a vast range of psychological questions related to mathematical cognition, and provides fascinating insights for researchers and students of cognition and instructors of mathematics.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 596
• Erscheinungstermin: 25. Februar 2011
• Englisch
• ISBN-13: 9781136945397
• Artikelnr.: 38405764

Autorenporträt

Raymond S. Nickerson, retired senior vice president of Bolt Beranek and Newman Inc. and research professor at Tufts University, is a fellow of the American Association for the Advancement of Science, the American Psychological Association, the Association for Psychological Science, the Human Factors and Ergonomics Society, and the Society of Experimental Psychologists. He is the founding editor of The Journal of Experimental Psychology: Applied, the founding and series editor of Reviews of Human Factors and Ergonomics, an annual publication of the Human Factors and Ergonomics Society, and the author of several books, including Aspects of Rationality: Reflections on What it Means to be Rational and Whether We Are (Psychology Press, 2008).

Inhaltsangabe

1. What Is Mathematics? 2. Counting. 3. Numbers. 4. Deduction and
Abstraction. 5. Proofs. 6. Informal Reasoning. 7. Representations. 8.
Infinity. 9. Infinitesimals. 10. Predilections. 11. Esthetics in
Mathematics. 12. The Usefulness of Mathematics. 13. Foundations. 14.
Preschool Development. 15. Math in Schools. 16. Math Problem Solving. 17.
Final Thoughts.