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Articulating Your Thinking

Articulating Your Thinking. Dr. Mok, Y.F. Novice. Expert. Novice & Expert Thinking Patterns. Read Analyze Explore Plan Implement Verify. Schoenfeld, 1987. Thinking. is usually invisible & silent. Automaticity. Certain thinking practised so extensively automaticity. executed

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Articulating Your Thinking

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  1. Articulating Your Thinking Dr. Mok, Y.F.

  2. Novice Expert Novice & Expert Thinking Patterns Read Analyze Explore Plan Implement Verify Schoenfeld, 1987

  3. Thinking is usually invisible & silent.

  4. Automaticity Certain thinking practised so extensively automaticity executed with little or no conscious awareness

  5. Knowledge Categories Tacit set of categories of knowledge is for thinking about the world But there is little awareness of categorization And tacit knowledge is difficult to teach.

  6. Difficulties in Teaching Steps fused together Cannot capture tacit categories

  7. Teacher’s Thinking In sum, teacher’s thinking: • is usually invisible & silent • is executed with little or no conscious awareness • (this is called automaticity which is due to extensive practice over the years & certain thinking has become automatic) • is characterized by his own tacit categories of knowledge which are formulated for his own thinking & hence difficult to capture or be taught • steps are fused together

  8. Learning from Teacher’s Thinking Teacher’s ways of thinking are valuable to students. Particularly for solving problems in the subject domain. One way of articulating your thinking is toverbalize it.

  9. Thoughts the stream of consciousness put into words as they occur

  10. Verbalization Having to say it forces you to figure out exactly what your thinking process is.

  11. Direct Instruction ? There are disadvantages in using direct instruction to teach problem-solving methods: • Students will simply follow your methods like following a recipe. • Students will have difficulty to understand the reasons behind a specific course of action. • They will not know under what conditions in which the solution applies. • Or conditions for the procedure.

  12. Articulate Your Thinking It is better to verbalize your thinking (not the solution method) while you problem-solve. Show and tell students how you: • find out traps & blockages & means for resolving them • make assumptionsabout unknown information • integratelarge amounts of information • consider & reject alternatives that are wrong but tempting

  13. Articulate Your Thinking • how you formulate specific solution paths • how you use your own heuristics—rules that guide search but do not guarantee a result

  14. Articulating Experts’ Power Also, you may take reference of experts’ problem solving strategies & incorporate some of them while you show and tell your students your thinking: • The ability to see typicality • The ability to see distinctions • The ability to see antecedents & consequences • The ability to plan & monitor their problem-solving attempts

  15. e.g. Experienced doctors: • distinguish between relevant & non-relevant data • screen unnecessary data that can be confusing, unhelpful or sometimes dangerous

  16. http://www.lessonplanspage.com/MathNumReasoningProbSolvingThinkAlouds69.htmhttp://www.lessonplanspage.com/MathNumReasoningProbSolvingThinkAlouds69.htm

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