Mathematical Reasoning Analogies Metaphors and Images

Mathematical Reasoning Analogies, Metaphors and Images by Lyn English

Mathematical Reasoning Analogies Metaphors and Images by Lyn D. English

Contents of Mathematical Reasoning eBook

  • PART I: INTRODUCTION
  • Analogies, Metaphors, and Images:
  • Vehicles for Mathematical Reasoning Lyn D English
  • PART IT: COGNITIVE FOUNDATIONS FOR A MIND-BASED MATHEMATICS
  • The Metaphorical Structure of Mathematics:
  • Sketching Out Cognitive Foundations for a Mind-Based Mathematics
  • PART lll: MATHEMATICAL REASONING: ANALOGIES
  • How Students Think: The Role of Representations
  • Analogical Reasoning and Early Mathematics Learning
  • Children’s Development of Analogical Problem-Solving
  • Children’s Reasoning Processes in Classifying and Solving Computational Word Problems
  • Two Types of Reliance on Correlations Between
  • Content and Structure in Reasoning About Word
  • Problems
  • Commentary: Mathematical Reasoning and Analogy
  • PART IV: MATHEMATICAL REASONING: METAPHORS,
  • METONYMIES, AND IMAGES
  • Reasoning With Metaphors and Metonymies in Mathematics Learning
  • Reasoning With Images in Mathematical Activity
  • Generalization Using Imagery in Mathematics
  • Children’s Mathematical Reasoning With the Turtle
  • Programming Metaphor
  • Commentary: On Metaphorical Roots of Conceptual

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