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Chapter 3 – Problem Solving

Chapter 3 – Problem Solving. Calls for reform repeatedly include the need to improve the teaching and learning of mathematics by engaging students in more problem-solving tasks. George Polya. Understand the problem Examine the information, Identify the question Devise a Plan

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Chapter 3 – Problem Solving

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  1. Chapter 3 – Problem Solving Calls for reform repeatedly include the need to improve the teaching and learning of mathematics by engaging students in more problem-solving tasks

  2. George Polya • Understand the problem • Examine the information, Identify the question • Devise a Plan • Make a list, Draw a picture, Guess and check • Carry out the plan • Modify as needed • Look back • Make sure the answer is reasonable

  3. NCTM Standard • Build new mathematical knowledge through problem solving • Solve problems that arise in mathematics and other contexts • Apply and adapt a variety of appropriate strategies to solve problems • Monitor and reflect on the process of mathematical problem solving

  4. NET-S Standard • Students use technology resources for solving problems and making informed decisions • Students employ technology in the development of strategies for solving problems in the real world

  5. Two important issues • Via technology, “problem solving can focus on more real-life issues and on the process of problem solving…rather than the complicated mathematical computations. • Rather than teaching students about problem solving, educators need to think about teaching students via problem solving. (Masingila, Lester, and aymond, 2001)

  6. Guess and Check Method • Page 79 of the text – Problems on ticket sales and temperature conversion • Using the spread sheet – page 79 of text • Using a sequence and list on TI 83 • Using y-variables on TI 83

  7. Portfolio Activity 2Web Searching StrategiesSample Table

  8. TI – INTERACTIVE TUTORIAL(see handouts)

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