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Mathematical reasoning : analogies, metaphors, and images

Author: Lyn D English
Publisher: Mahwah, NJ : Erlbaum, 1997.
Series: Studies in mathematical thinking and learning
Edition/Format:   Print book : EnglishView all editions and formats
Publication:Mathematical reasoning.
Summary:

This analysis of mathematical reasoning draws on the interdisciplinary nature of cognitive science. It moves away from notions of reasoning as "abstract" and "disembodied", to a view of its  Read more...

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Genre/Form: Aufsatzsammlung
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Lyn D English
ISBN: 0805819789 9780805819786 0805819797 9780805819793
OCLC Number: 243871618
Description: VIII, 384 Seiten : Diagramme.
Contents: Contents: Preface. Part I: Introduction. L.D. English, Analogies, Metaphors, and Images: Vehicles for Mathematical Reasoning. Part II: Cognitive Foundations for a Mind-Based Mathematics. G. Lakoff, R.E. Nunez, The Metaphorical Structure of Mathematics: Sketching Out Cognitive Foundations for a Mind-Based Mathematics. Part III: Mathematical Reasoning: Analogies. R.B. Davis, C.A. Maher, How Students Think: The Role of Representations. P.A. Alexander, C.S. White, M. Daugherty, Analogical Reasoning and Early Mathematics Learning. B. Gholson, D. Smither, A. Buhrman, M.K. Duncan, K.A. Pierce, Children's Development of Analogical Problem-Solving Skill. L.D. English, Children's Reasoning Processes in Classifying and Solving Computational Word Problems. M. Bassok, Two Types of Reliance on Correlations Between Content and Structure in Reasoning About Word Problems. M.J. Rattermann, Commentary: Mathematical Reasoning and Analogy. Part IV: Mathematical Reasoning: Metaphors, Metonymies, and Images. N.C. Presmeg, Reasoning With Metaphors and Metonymies in Mathematics Learning. G.H. Wheatley, Reasoning With Images in Mathematical Activity. N.C. Presmeg, Generalization Using Imagery in Mathematics. D.H. Clements, J. Sarama, Children's Mathematical Reasoning With the Turtle Programming Metaphor. A. Sfard, Commentary: On Metaphorical Roots of Conceptual Growth.
Series Title: Studies in mathematical thinking and learning
Responsibility: ed. by Lyn D. English.
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