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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 de Jennifer Knudsen

Mathematical Argumentation in Middle School-The What, Why, and How: A Step-by-Step Guide With Activities, Games, and Lesson Planning Tools: Corwin Mathematics Series

Autor Jennifer Knudsen, Harriette Stevens, Teresa Lara-Meloy, Hee-Joon Kim, Nikki Shechtman
en Limba Engleză Paperback – 20 dec 2017
This innovative guide will help teachers immediately engage students in fun, classroom-ready argumentation and take ownership of their learning. It will also facilitate deep mathematical understanding and encourage logical, clear connections between abstract ideas.
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Specificații

ISBN-13: 9781506376691
ISBN-10: 150637669X
Pagini: 192
Dimensiuni: 187 x 232 x 13 mm
Greutate: 0.54 kg
Ediția:1
Editura: SAGE Publications
Colecția Corwin
Seria Corwin Mathematics Series

Locul publicării:Thousand Oaks, United States

Recenzii

If you share my belief that “construct viable arguments and critique the reasoning of others” are perhaps the nine most important words in the Common Core era, then Mathematical Argumentation in Middle School is just what you need. This powerful and practical book takes us through an accessible process of generating cases, making conjectures, and justifying that fully supports bringing SMP #3 to life in our classrooms.
This great resource gives teachers tools to implement the four cycles of mathematical argumentation and help students develop a “variety of expertise,” as described in the Standards of Mathematical Practice. As students cycle through the phases, they are guided in building “mathematical authority” as independent thinkers and creators of mathematical ideas. I recommend this book to any teacher who wants to amp up the math discussion in their classroom.
Now more than ever, we need to provide all children with opportunities to learn to think critically and participate in thoughtful, productive debate in today’s society. This book translates the mathematical practice of argumentation into a four-stage process that can be applied across a wide range of mathematical content. This process utilizes an innovative, research-based approach based on improv games that opens access for all students to participate in the process of mathematical argumentation. Finally, there is a practical guide for making argumentation an everyday practice in mathematics classrooms!

Cuprins

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

Notă biografică

Jennifer Knudsen has been working in mathematics education since her days as a Peace Corps volunteer in Kenya and as a teacher in in New York City Public Schools. She has focused on students¿ engagement in mathematics as an equity issue throughout her career, including work on numerous curriculum and professional development projects. She directs the Bridging Professional Development project as part of her role as a senior mathematics educator at SRI International. She holds a B.A. from The Evergreen State College, where she learned to love mathematical argumentation. She lives in Austin, Texas with her husband and daughter.

Descriere

This research-based book brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive - all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.