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• Title:We reason & we prove for ALL mathematics : building students' critical thinking, Grades 6-12 / Fran Arbaugh [and four others].
  
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• Variant Title:We reason and we prove for ALL mathematics
  
• Author/Creator:Arbaugh, Fran, author.
  
• Published/Created:Thousand Oaks, California : Corwin Mathematics, [2019]
  ©2019
  

• Holdings

  Holdings Record Display

  • Location:EDUCATION LIBRARY stacksWhere is this?
    
  • Call Number: QA11.2 .A73 2019
    
  • Number of Items:1
    
  • Status:Available
    

   
• Library of Congress Subjects:Mathematics--Study and teaching (Elementary)
  Mathematics--Study and teaching (Middle school)
  Mathematics--Study and teaching (Secondary)
  Curriculum planning.
  
• Description:xx, 239 pages ; illustrations : 24 cm
  
• Notes:Includes bibliographical references and index.
  
• ISBN:9781506378190 paperback alkaline paper
  1506378196 paperback alkaline paper
  
• Contents:Machine generated contents note: ch. 1 Setting the Stage
  Is Reasoning-and-Proving Really What You Think?
  Supporting Background and Contents of This Book
  What Is Reasoning-and-Proving in Middle and High School Mathematics?
  Realizing the Vision of Reasoning-and-Proving in Middle and High School Mathematics
  Moving Forward
  Discussion Questions
  ch. 2 Convincing Students Why Proof Matters
  Why Do We Need to Learn How to Prove?
  Three-Task Sequence
  Engaging in the Three-Task Sequence, Part 1: The Squares Problem
  Engaging in the Three-Task Sequence, Part 2: Circle and Spots Problem
  Engaging in the Three-Task Sequence, Part 3: The Monstrous Counterexample
  Analyzing Teaching Episodes of the Three-Task Sequence: The Cases of Charlie Sanders and Gina Burrows
  Connecting to Your Classroom
  Discussion Questions
  ch. 3 Exploring the Nature of Reasoning-and-Proving
  When Is an Argument a Proof?
  Reasoning-and-Proving Analytic Framework
  Developing Arguments
  Developing a Proof
  Reflecting on What You've Learned About Reasoning-and-Proving
  Revisiting the Squares Problem From Chapter 2
  Connecting to Your Classroom
  Discussion Questions
  ch. 4 Helping Students Develop the Capacity to Reason-and-Prove
  How Do You Help Students Reason-and-Prove?
  Framework for Examining Mathematics Classrooms
  Determining How Student Learning Is Supported: The Case of Vicky Mansfield
  Determining How Student Learning Is Supported: The Case of Nancy Edwards
  Looking Across the Cases of Vicky Mansfield and Nancy Edwards
  Connecting to Your Classroom
  Discussion Questions
  ch. 5 Modifying Tasks to Increase Their Reasoning-and-Proving Potential
  How Do You Make Tasks Reasoning-and-Proving Worthy?
  Returning to the Effective Mathematics Teaching Practices
  Examining Textbooks or Curriculum Materials for Reasoning-and-Proving Opportunities
  Revisiting The Case of Nancy Edwards
  Continuing to Examine Tasks and Their Modifications
  Reexamining Modifications Made to Tasks Through a Different Lens
  Comparing More Tasks With Their Modifications
  Strategies for Modifying a Task to Enhance Students' Opportunities to Reason-and-Prove
  Connecting to Your Classroom
  Discussion Questions
  ch. 6 Using Context to Engage in Reasoning-and-Proving
  How Does Context Affect Reasoning-and-Proving?
  Considering Opportunities for Reasoning-and-Proving
  Solving the Sticky Gum Problem
  Analyzing Student Work From the Sticky Gum Problem
  Analyzing Two Different Classroom Enactments of the Sticky Gum Problem
  Connecting to Your Classroom
  Discussion Questions
  ch. 7 Pulling It All Together
  Key Ideas at the Heart of This Book
  Tools to Support the Teaching of Reasoning-and-Proving
  Putting the Tools to Work
  Moving the Hoover High Teachers Forward in Their PLC
  Discussion Questions
  Appendixes
  Appendix A Developing a Need for Proof: The Case of Charlie Sanders
  Appendix B Motivating the Need for Proof: The Case of Gina Burrows
  Appendix C Writing and Critiquing Proofs: The Case of Vicky Mansfield
  Appendix D Pressing Students to Prove It: The Case of Nancy Edwards
  Appendix E Making Sure That All Students Understand: The Case of Calvin Jensen
  Appendix F Helping Students Connect Pictorial and Symbolic Representations: The Case of Natalie Boyer.