Mathematical Argumentation in Middle School-The What, Why, and How
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Description
Get them talking: Your formula for bringing math concepts to life!
Want your middle schoolers to intelligently engage with mathematical ideas? Ready to help them construct and critique viable arguments that meet tough Standards for Mathematical Practice 3 standards? Look no further. This research-based gem will help you foster the critical reasoning and argumentation skills every student needs for intelligent discourse within our modern society. Learn how to bring mathematical argumentation alive in your classroom—all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.
Filled with content-focused and classroom-ready games, activities, vignettes, sample tasks, and links to online tools and a rich companion website, this innovative guide will help you
- Immediately engage students in fun, classroom-ready argumentation activities
- Plan lessons that foster lively, content-driven, viable argumentation
- Help students explore mathematical ideas and take ownership of their learning
- Facilitate deep mathematical understanding
- Promote students’ precise use of mathematical language to construct, justify, and critique mathematical ideas and mathematical statements or the arguments of others.
- Encourage logical, clear connections between abstract ideas for enhanced 21st century skills
This guide delivers all the tools you need to get serious about mathematical argumentation and bring well-planned, well-constructed mathematical discourse to life in your classroom today!
Contents
Preface
Preface
Acknowledgments
Acknowledgments
About the Authors
- Chapter 1. Mathematical Argumentation: Why and What
- Argumentation Is Important!
- What Argumentation Is—and Is Not
- A Four-Part Model of Argumentation
- About Truth
- Teaching as Disciplined Improvisation
- Improvisation for Argumentation and Norm Setting
- Sharing Mathematical Authority
- Getting Started With Argumentation
- Argumentation Lessons Versus Argumentation in Lessons
- Working Together
- Chapter 2. Generating Cases
- What Does It Mean to Generate Cases?
- An Activity Rich in Argumentation and Content
- Vignette: Small Groups Generate Cases
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 3. Conjecturing
- What Does It Mean to Conjecture?
- Vignette: Conjecturing Together
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 4. Justifying
- What Does It Mean to Justify?
- Vignette: Justifying Multiple Conjectures
- Teaching Moves for Eliciting Justifications
- Vignette: Critiquing and Connecting Arguments
- Teaching Moves for Critiquing and Connecting Arguments
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 5. Representations in Justifications
- What Are Representations?
- Vignette: Visual Representations Foster Participation
- Vignette: Gestures Enable a Unique Contribution
- Teaching Moves
- Using Dynamic Digital Tools
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 6. Levels of Justification
- Four Levels of Justification
- Level 0: No Justification
- Level 1: Case-Based Justifications
- Level 2: Partially Generalized Justifications Based on Cases
- Level 3: Fully Generalized Justifications
- A Rubric for Levels
- Teaching Moves for Transitions Between Levels
- Working Together
- Chapter 7. Concluding
- What Does It Mean to Conclude?
- Vignettes: Concluding
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 8. Planning
- How Can You Plan for Students’ Argumentation?
- Written Lesson Plans
- Visualizing a Lesson
- Vignette: Visualizing Justification
- Digital Tools
- Updating and Sharing Lesson Plans
- Advice on Planning
- Working Together
Glossary
Glossary
References
References
Index
Index
Additional materials
Description
Get them talking: Your formula for bringing math concepts to life!
Want your middle schoolers to intelligently engage with mathematical ideas? Ready to help them construct and critique viable arguments that meet tough Standards for Mathematical Practice 3 standards? Look no further. This research-based gem will help you foster the critical reasoning and argumentation skills every student needs for intelligent discourse within our modern society. Learn how to bring mathematical argumentation alive in your classroom—all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.
Filled with content-focused and classroom-ready games, activities, vignettes, sample tasks, and links to online tools and a rich companion website, this innovative guide will help you
- Immediately engage students in fun, classroom-ready argumentation activities
- Plan lessons that foster lively, content-driven, viable argumentation
- Help students explore mathematical ideas and take ownership of their learning
- Facilitate deep mathematical understanding
- Promote students’ precise use of mathematical language to construct, justify, and critique mathematical ideas and mathematical statements or the arguments of others.
- Encourage logical, clear connections between abstract ideas for enhanced 21st century skills
This guide delivers all the tools you need to get serious about mathematical argumentation and bring well-planned, well-constructed mathematical discourse to life in your classroom today!
Contents
Preface
Preface
Acknowledgments
Acknowledgments
About the Authors
- Chapter 1. Mathematical Argumentation: Why and What
- Argumentation Is Important!
- What Argumentation Is—and Is Not
- A Four-Part Model of Argumentation
- About Truth
- Teaching as Disciplined Improvisation
- Improvisation for Argumentation and Norm Setting
- Sharing Mathematical Authority
- Getting Started With Argumentation
- Argumentation Lessons Versus Argumentation in Lessons
- Working Together
- Chapter 2. Generating Cases
- What Does It Mean to Generate Cases?
- An Activity Rich in Argumentation and Content
- Vignette: Small Groups Generate Cases
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 3. Conjecturing
- What Does It Mean to Conjecture?
- Vignette: Conjecturing Together
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 4. Justifying
- What Does It Mean to Justify?
- Vignette: Justifying Multiple Conjectures
- Teaching Moves for Eliciting Justifications
- Vignette: Critiquing and Connecting Arguments
- Teaching Moves for Critiquing and Connecting Arguments
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 5. Representations in Justifications
- What Are Representations?
- Vignette: Visual Representations Foster Participation
- Vignette: Gestures Enable a Unique Contribution
- Teaching Moves
- Using Dynamic Digital Tools
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 6. Levels of Justification
- Four Levels of Justification
- Level 0: No Justification
- Level 1: Case-Based Justifications
- Level 2: Partially Generalized Justifications Based on Cases
- Level 3: Fully Generalized Justifications
- A Rubric for Levels
- Teaching Moves for Transitions Between Levels
- Working Together
- Chapter 7. Concluding
- What Does It Mean to Conclude?
- Vignettes: Concluding
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 8. Planning
- How Can You Plan for Students’ Argumentation?
- Written Lesson Plans
- Visualizing a Lesson
- Vignette: Visualizing Justification
- Digital Tools
- Updating and Sharing Lesson Plans
- Advice on Planning
- Working Together
Glossary
Glossary
References
References
Index
Index
Additional materials
Reviews
Mathematical Argumentation in Middle School-The What, Why, and How
A Step-by-Step Guide With Activities, Games, and Lesson Planning Tools
September 2017 | 192 pages | Corwin
| Format | Published Date | ISBN | Price |
|---|---|---|---|
| Paperback | 01/02/2026 | 9781506376691 | $37.95 |
| Lifetime | 01/02/2026 | 9781506394251 | $35.00 |
Get them talking: Your formula for bringing math concepts to life!
Want your middle schoolers to intelligently engage with mathematical ideas? Ready to help them construct and critique viable arguments that meet tough Standards for Mathematical Practice 3 standards? Look no further. This research-based gem will help you foster the critical reasoning and argumentation skills every student needs for intelligent discourse within our modern society. Learn how to bring mathematical argumentation alive in your classroom—all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.
Filled with content-focused and classroom-ready games, activities, vignettes, sample tasks, and links to online tools and a rich companion website, this innovative guide will help you
- Immediately engage students in fun, classroom-ready argumentation activities
- Plan lessons that foster lively, content-driven, viable argumentation
- Help students explore mathematical ideas and take ownership of their learning
- Facilitate deep mathematical understanding
- Promote students’ precise use of mathematical language to construct, justify, and critique mathematical ideas and mathematical statements or the arguments of others.
- Encourage logical, clear connections between abstract ideas for enhanced 21st century skills
This guide delivers all the tools you need to get serious about mathematical argumentation and bring well-planned, well-constructed mathematical discourse to life in your classroom today!
Table Of Contents:
- Preface
- Acknowledgments
- About the Authors
- Chapter 1. Mathematical Argumentation: Why and What
- Argumentation Is Important!
- What Argumentation Is—and Is Not
- A Four-Part Model of Argumentation
- About Truth
- Teaching as Disciplined Improvisation
- Improvisation for Argumentation and Norm Setting
- Sharing Mathematical Authority
- Getting Started With Argumentation
- Argumentation Lessons Versus Argumentation in Lessons
- Working Together
- Chapter 2. Generating Cases
- What Does It Mean to Generate Cases?
- An Activity Rich in Argumentation and Content
- Vignette: Small Groups Generate Cases
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 3. Conjecturing
- What Does It Mean to Conjecture?
- Vignette: Conjecturing Together
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 4. Justifying
- What Does It Mean to Justify?
- Vignette: Justifying Multiple Conjectures
- Teaching Moves for Eliciting Justifications
- Vignette: Critiquing and Connecting Arguments
- Teaching Moves for Critiquing and Connecting Arguments
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 5. Representations in Justifications
- What Are Representations?
- Vignette: Visual Representations Foster Participation
- Vignette: Gestures Enable a Unique Contribution
- Teaching Moves
- Using Dynamic Digital Tools
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 6. Levels of Justification
- Four Levels of Justification
- Level 0: No Justification
- Level 1: Case-Based Justifications
- Level 2: Partially Generalized Justifications Based on Cases
- Level 3: Fully Generalized Justifications
- A Rubric for Levels
- Teaching Moves for Transitions Between Levels
- Working Together
- Chapter 7. Concluding
- What Does It Mean to Conclude?
- Vignettes: Concluding
- Teaching Moves
- Establishing Norms
- Planning
- Tasks
- Working Together
- Chapter 8. Planning
- How Can You Plan for Students’ Argumentation?
- Written Lesson Plans
- Visualizing a Lesson
- Vignette: Visualizing Justification
- Digital Tools
- Updating and Sharing Lesson Plans
- Advice on Planning
- Working Together
- Glossary
- References
- Index