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On the Nature of Teaching and Assessing “Mathematical Power” and “Mathematical Thinking”

On the Nature of Teaching and Assessing “Mathematical Power” and “Mathematical Thinking”. By Jay Greenwood in Arithmetic Teacher November, 1993. Mathematical Power. Personal autonomy the ability to think and function independently. Mathematical Thinking. The ability to:

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On the Nature of Teaching and Assessing “Mathematical Power” and “Mathematical Thinking”

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  1. On the Nature of Teaching and Assessing “Mathematical Power” and “Mathematical Thinking” By Jay Greenwood in Arithmetic Teacher November, 1993

  2. Mathematical Power • Personal autonomy • the ability to think and function independently Mathematical Thinking • The ability to: • recognize patterns; • generalize common problem situations; • identify errors; and • generate alternative strategies.

  3. Learning Criteria for Mathematical Power and Mathematical Thinking 1. Everything you do in mathematics should make sense to you. 2. Whenever you get stuck, try to use what you know to get yourself unstuck. 3. You should be able to identify errors in answers, in the use of materials, and in thinking. 4. Whenever you do a computation, you should use a minimum of counting. 5. You should be able to perform calculations with a minimum of rote paper and pencil computations. 6. When the strategy you are using isn't working, you should be willing to try another instead of giving up. 7. You should be able to extend or change a problem situation by posing additional conditions or questions. EVIDENCE!

  4. Weighting the various criteria example weight Criterion 10% Understanding 10% Getting Unstuck 5% Spotting Errors 5% Minimizing Counting 5% Minimizing Rote p&p 10% Perseverance 10% Problem Extension 20% Tests & Quizzes 15% Homework 10% etc. 100% Total Grade

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