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Problem Solving, Protocols and Practice through the Ages

Learn how to use the Think Aloud strategy to analyze and learn from student work in math problem solving situations. Develop important mathematical concepts and clarify vocabulary through effective questioning.

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Problem Solving, Protocols and Practice through the Ages

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  1. Problem Solving, Protocols and Practice through the Ages Wisconsin Mathematics Council 41st Annual Conference Friday, May 8, 2009 Math Teaching Specialists: Pandora Bedford bedforpd@milwaukee.k12.wi.us Laura Maly guzmanlm@milwaukee.k12.wi.us Rosann Hollinger hollinrl@milwaukee.k12.wi.us The Milwaukee Mathematics Partnership (MMP) is supported by the National Science Foundation under Grant No. 0314898. www.mmp.uwm.edu

  2. MMP Protocol Analyzing and Learning from Student Work In this Session, we will: • become acquainted with the Think Aloud as a problem solving strategy. • examine and experience a protocol for collaboratively looking at student work.

  3. Think Aloud A Problem Solving Strategy for Mathematics The Think Aloud strategy helps children develop independent thinking during problem solving situations through the use of questioning.

  4. Effective questioning will help students to: • Visualize the situation • Develop important mathematical concepts • Clarify vocabulary • Develop points of entry • Focus on what is needed for an answer

  5. Setting the Stage – Task Clarification • Read the problem • Visualize the situation • Restate the problem • Connect to real-life situations • Clarification of Concept and Context; • Making Connections • Clarify vocabulary specific to the math content • Clarify vocabulary related to the context of the • problem • Connect the mathematical ideas to previous work

  6. Working on the Problem Discuss various approaches for entry into the problem Redefine the question in the problem Solve the problem independently or with a partner Explain your work or your partner’s work Thinking about the Solution Relate connections between the answer and the problem Share student work samples; discuss the mathematics, the approach to the problem and the student reasoning

  7. Milwaukee Public SchoolsMathematics Framework

  8. Objective: Mathematical Processes • Students will effectively use mathematical knowledge, • skills and strategies related to reasoning, communication, • connections, representation and problem solving. • Descriptors, such as but not limited to • Use reasoning and logic to perceive patterns, formulate • questions, identify relationships, pose problems, make and • test conjectures, and evaluate and justify strategies. • Continue

  9. Effectively use the vocabulary of mathematics • and communicate mathematical ideas and logical arguments in a variety of ways e.g. using words, numbers, symbols, charts, tables, diagrams, graphs, and models. • •Connect mathematics to the real world, as well as within mathematics. • •Create and use representations to organize, record, and communicate mathematical ideas. • •Solve and analyze routine and non-routine problems.

  10. Protocol Research: • Tuning Protocol • Coalition of Essential Schools, 1992 • •Collaborative Assessment Conference • Harvard Project Zero, 1988•Standards in Practice • The Education Trust, 1995

  11. MMP Protocol Analyzing and Learning from Student Work • 1.Getting Started • Facilitator Volunteer to present student work • Participants review the work silently

  12. Discussing the Work • Round 1. Describing: What do you see? • Round 2. Interpreting: What do the • students understand? • Round 3. Questions: What questions does • this work raise?

  13. 3.Hearing from the Presenting Teacher Comment on students’ work, respond to questions raised Insights from surprising or unexpected comment Repeat Steps 1–3 with another presenting teacher.

  14. 4.Implications for Teaching What are some thoughts which may have surfaced using the Protocol that you have about your own teaching or about children’s learning?

  15. 5.Debriefing: Reflect on using a protocol How could you use this protocol in your school/district?

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