Mathematical argumentation in middle school : the what, why, and how : a step-by-step guide with activities, games, and lesson planning tools

著者

    • Knudsen, Jennifer (Mathematics teacher)

書誌事項

Mathematical argumentation in middle school : the what, why, and how : a step-by-step guide with activities, games, and lesson planning tools

Jennifer Knudsen ... [et al.]

Corwin, c2018

  • : pbk

タイトル別名

Mathematical argumentation in middle school : the what, why, and how

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注記

"Grades 6-8"--Back cover

Includes bibliographical references (p. 155-158) and index

内容説明・目次

内容説明

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!

目次

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

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