Ask Dr. Math^{®}
T2T^{®}


Moving Beyond the Right Answer
11:00  12:00 Saturday, December 7
Suzanne Alejandre, Philadelphia, PA
What happens when we give students solutions and engage them in an activity where the focus is shifted from solving a problem to reflecting on methods used by others to solve the problem? We'll experience this and discuss how to create similar activities from different resources. Activities that offer a variety of problemsolving strategies provide the scaffolding for students to develop how they make sense of problems, develop additional problemsolving methods, & persevere in solving problems.
 Introductions

 Ostrich Llama Count  Examining Solution Methods [PDF]
 In this activity, the focus is shifted from solving the problem to reflecting on methods used by others to solve the problem. Students are asked to embrace one of the methods, make sense of it, and present it as a reasonable method to use in solving the problem. In addition, students are asked to compare the method to a method they would have used. How does it compare? What are the advantages of each method? What are the challenges?

 Giving Answers
 When?
 How?
 Why?

 Samples: View PDF links for: Problem, Teacher Packet, Primary Rubric, and Scenario
 Primary: The Eagle and the Bear
 Elementary: Dad's Cookies
 Middle School: Ostrich Llama Count
 Algebra 1: Math Club Mystery
 High School Geometry: Broken Pottery

 Using Resources on Hand
 your textbook
 last year's student work (or collecting now thinking toward next year)
 Ask Dr. Math
Ask Dr. Math FAQ: Negative x Negative = Positive
Ask Dr. Math: FAQ: The Missing Dollar
Ask Dr. Math: FAQ: Three Houses, Three Utilities

 Additional Activities  Using Student Work or Sample Work
 What's the Same? What's Different? [PDF]
 I Don't Know If I'm Right [PDF]
 ElbowtoElbow Revisions [PDF]

 Discussion
 What ideas might you try?
 What challenges do you foresee?
 What will you look for as a success?
 What resources might you need? What resources do you have that you know you could use?

 Additional Resources
 Blog: Suzanne at the Math Forum [HTML]

 Annie Fetter: Ever Wonder What They'd Notice? [Ignite! Talk]
 Suzanne Alejandre: Unsilence Students' Voices [Ignite! Talk]
 Max Ray: Why 2 > 4: A Proof by Induction [Ignite! Talk]

 Ostrich Llama CountExamining Solution Methods [PDF]
 How to Start Problem Solving in Your Classroom [PDF]
 Problem SolvingIt Has to Begin with Noticing and Wondering [PDF]
 Unsilence Students' Voices [PDF]
 Supporting SenseMaking and Perseverance [PDF]
 Think You Don't Have Time to Use the PoWs? [PDF]
 Writing to Develop Understanding: The Math Forum @ Drexel's PoWs [PDF]

 Making Effective Use of Math Forum Resources: K2 and 35 [HTML] 68 and 912 [HTML]

 Our book: Powerful Problem Solving: Activities for SenseMaking with the Mathematical Practices [HTML]
 Our book's companion website: [HTML] including freely accessible classroom videos
