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Itlm teaching problem solving


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Itlm teaching problem solving

  2. 2. INTRODUCTION“Problem solving must not be treated byteachers as a dish on the buffet table but rathera sauce in every dish that is on the buffet tableserving a feast of mathematical dishes.”
  3. 3. OBJECTIVESTeacher candidates will be able to: Identify the role of the teacher in problemsolving Explain types of problem solving lessons Explain the stages in a problem solvinglesson Assess problem solving lesson
  4. 4. THE ROLE OF THE TEACHER The novice (first level) A beginner (second level) An enthusiast (third level) An expert (fourth level)
  5. 5. THE NOVICE Students have little or no understanding ofwhat problem solving is, of the meaning ofstrategy, or of mathematical structure of theproblem. Most students at this level do notknow where to begin to solve a non-routineproblem. Teacher assumes the role of a model.
  6. 6. A BEGINNER Student understand the meaning of problemsolving, of strategy, and the mathematicalstructure of a problem. They are able tofollow someone’s solution and can oftensuggest strategies to be tried for problemssimilar to those they have seen before.Although they will participate actively ingroup, many feel insecure about independentproblem solving Teacher acts a prosthesis or crutch.
  7. 7. AN ENTHUSIAST Student begin to feel comfortable withproblems. They suggest strategies differentfrom those who have seen used. Theyunderstand and appreciate that problemsmay have multiple solutions or in presentstate of the problem may have “no solution”unless an assumption is made. Teacher becomes problem provider.
  8. 8. AN EXPERT Student are able to select appropriate strategyfor most problems encountered and aresuccessful in finding solutions much of the time.They show an interest in elegance andefficiency of a solution and in finding analternative solutions to the same problem. Theysuggest variation of old problem and areconsistently searching for problems to challengethemselves. Teacher serves a facilitator.
  9. 9. THE TEACHING MODELUnderstandingConsolidatingTransferring
  10. 10. TYPES OF PROBLEM-SOLVING LESSONS Teaching through problem solving; Teaching about problem solving; and Teaching for problem solving
  11. 11. STAGES IN PROBLEM SOLVING LESSONS Modeling; Coaching; Explaining; and Providing.
  12. 12. HOW TO ASSESS PROBLEM SOLVING? Observing and questioning Observation checklists Scoring scales Analytic scoring Focused holistic scoring Problem solving portfolios