Presents the latest research on how reasoning with analogies, metaphors, metonymies, and images can facilitate mathematical understanding. For math education, educational psychology, and cognitive science scholars.
Presents the latest research on how reasoning with analogies, metaphors, metonymies, and images can facilitate mathematical understanding. For math education, educational psychology, and cognitive science scholars.
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. Núñez 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.
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. Núñez 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.
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