ReviewsIf 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., 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. -- Steve Leinwand 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. -- Annette Hilts 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! -- Kristen Bieda, 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!
Table Of ContentPrefaceAcknowledgmentsAbout the AuthorsChapter 1. Mathematical Argumentation: Why and WhatArgumentation Is Important!What Argumentation Is--and Is NotA Four-Part Model of ArgumentationAbout TruthTeaching as Disciplined ImprovisationImprovisation for Argumentation and Norm SettingSharing Mathematical AuthorityGetting Started With ArgumentationArgumentation Lessons Versus Argumentation in LessonsWorking TogetherChapter 2. Generating CasesWhat Does It Mean to Generate Cases?An Activity Rich in Argumentation and ContentVignette: Small Groups Generate CasesTeaching MovesEstablishing NormsPlanningTasksWorking TogetherChapter 3. ConjecturingWhat Does It Mean to Conjecture?Vignette: Conjecturing TogetherTeaching MovesEstablishing NormsPlanningTasksWorking TogetherChapter 4. JustifyingWhat Does It Mean to Justify?Vignette: Justifying Multiple ConjecturesTeaching Moves for Eliciting JustificationsVignette: Critiquing and Connecting ArgumentsTeaching Moves for Critiquing and Connecting ArgumentsEstablishing NormsPlanningTasksWorking TogetherChapter 5. Representations in JustificationsWhat Are Representations?Vignette: Visual Representations Foster ParticipationVignette: Gestures Enable a Unique ContributionTeaching MovesUsing Dynamic Digital ToolsEstablishing NormsPlanningTasksWorking TogetherChapter 6. Levels of JustificationFour Levels of JustificationLevel 0: No JustificationLevel 1: Case-Based JustificationsLevel 2: Partially Generalized Justifications Based on CasesLevel 3: Fully Generalized JustificationsA Rubric for LevelsTeaching Moves for Transitions Between LevelsWorking TogetherChapter 7. ConcludingWhat Does It Mean to Conclude?Vignettes: ConcludingTeaching MovesEstablishing NormsPlanningTasksWorking TogetherChapter 8. PlanningHow Can You Plan for Students' Argumentation?Written Lesson PlansVisualizing a LessonVignette: Visualizing JustificationDigital ToolsUpdating and Sharing Lesson PlansAdvice on PlanningWorking TogetherGlossaryReferencesIndex
SynopsisGet 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!, Get them talking: Your formula for bringing math concepts to life! Want your middle schoolers to intelligently engage with mathematical ideas? Look no further. This research-based gem 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. Immediately engage students in fun, classroom-ready argumentation activities Help students explore--and take ownership of--mathematical ideas and concepts Promote precise use of mathematical language Includes games, vignettes, a rich companion website, sample tasks, and links to online tools. Bring well-planned, well-constructed mathematical discourse to life in your classroom today!, 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., 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.
LC Classification NumberQA135.6.M37727 2017