**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