Chapter 3

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 solvingrather 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)