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Mathematical Argumentation in Middle School-The What, Why, and How
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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

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!


 
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

Free resources

Activity: Zip, Zap, Zop

Activity: Zip, Zap, Zop

"Zip, Zap, Zop" is a classic simple warm-up game, featured in Mathematical Argumentation in Middle School, that helps students understand that it is OK to make mistakes, speak so that everyone can hear, and pay close attention to one another.

Download

Improv Games to Engage Students in Mathematical Discussions

Improv Games to Engage Students in Mathematical Discussions

"In our work, we help teachers support rich, inclusive mathematical discussions among all students. For these discussions to happen, a classroom culture must be developed based on what are often new norms for mathematics class: that students should listen to each other, not just the teacher; that mistakes are OK, even welcomed, as students search for mathematical truth together. New norms take time and deliberate effort to develop."

Read more from Jennifer Knudsen, author of Mathematical Argumentation in Middle School-The What, Why, and How, on Corwin Connect.

Read Now

Establishing Norms for Mathematical Argumentation

Establishing Norms for Mathematical Argumentation

"In the past, and even many classrooms today, a math class involved the teacher presenting a lesson, then students practicing the procedures therein, and the teacher correcting students along the way. But things are changing!"

Read more from Teresa Lara-Meloy, author of Mathematical Argumentation in Middle School-The What, Why, and How, on Corwin Connect.

Read Now

Sample Materials & Chapters

Table of Contents

Preface

Chapter 1


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ISBN: 9781506376691
$37.95

For large school/district orders, volume discounts, availability and shipping times contact customer service at 800-233-9936
or order@corwin.com.