Powerful Problem Solving: Activities for Sense Making with the Mathematical Practices

Overview

How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and ...

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Overview

How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core:

communicating ideas and listening to the reflections of others
estimating and reasoning to see the "big picture" of a problem
organizing information to promote problem solving
using modeling and representations to visualize abstract concepts
reflecting on, revising, justifying, and extending the work.

Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems.

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Product Details

  • ISBN-13: 9780325050904
  • Publisher: Heinemann
  • Publication date: 9/24/2013
  • Pages: 192
  • Sales rank: 210,350
  • Product dimensions: 8.50 (w) x 10.90 (h) x 0.60 (d)

Meet the Author

Max Ray is a Professional Collaboration Facilitator at the Math Forum@ Drexel, a leading online resource for improving math learning, teaching, and communication. He is a former secondary mathematics teacher who presents at national conferences on fostering problem solving, communication, and valuing student thinking.
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