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Celebrating Mathematical Mistakes
How to Use Students’ Thinking to Unlock Understanding
Divided into two parts, Celebrating Mathematical Mistakes aims to explore why mistakes matter in mathematics and share types of mistakes made in mathematics classrooms, along with mistakes made by mathematicians. It then supports shifting to asset-based views of mistakes by supplying practical tools that encourage productive mathematical mistakes from students.
This book will help educators:
- Learn three types of mistakes and their roles in mathematical reasoning.
- Understand how mathematical errors encourage creativity.
- Support students’ invented notation and language as demonstrations of their learning.
- Apply strategies and task structures with real-life vignettes.
- Reflect on chapter content with prompts.
TABLE OF CONTENTS
Part I: Celebrating Mathematical Mistakes
Chapter 1: A Shifted View of Mistakes
Chapter 2: Beautiful and Powerful Mistakes
Chapter 3: Factual, Procedural, and Conceptual Mistakes
Chapter 4: Mistakes by Mathematicians
Part II: Responding to Mathematical Mistakes in Action
Chapter 5: Two Foundational Instructional Strategies for Examining Mistakes
Chapter 6: Changing Minds in Mathematics
Chapter 7: This or That Tasks
Chapter 8: Invented Notation and Language
Chapter 9: Mathematical Games
Chapter 10: Mistakes in Action
REPRODUCIBLES
Chapter 1: A Shifted View of Mistakes
Chapter 2: Beautiful and Powerful Mistakes
Chapter 3: Factual, Procedural, and Conceptual Mistakes
Chapter 4: Mistakes by Mathematicians
Chapter 5: Two Foundational Instructional Strategies for Examining Mistakes
- Chapter 5 Application Guide
- Chapter 5: Two Foundational Instructional Strategies for Examining Mistakes
Chapter 6: Changing Minds in Mathematics
Chapter 7: This or That Tasks
Chapter 8: Invented Notation and Language
Chapter 9: Mathematical Games
Chapter 10: Mistakes in Action
