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hom - Habits of Mind An organizing principle for...

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Habits of Mind: An organizing principle for mathematics curriculum and instruction Michelle Manes Department of Mathematics Brown University [email protected]
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Position paper by Al Cuoco, E. Paul Goldenberg, and June Mark. Published in the Journal of Mathematical Behavior, volume 15, (1996). Full text available online at http://www.sciencedirect.com Search for the title “Habits of Mind: An Organizing Principle for Mathematics Curricula.”
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Analytic geometry or fractal geometry?
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Analytic geometry or fractal geometry? Modeling with algebra or modeling with spreadsheets?
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Analytic geometry or fractal geometry? Modeling with algebra or modeling with spreadsheets? Graph theory or solid geometry?
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Analytic geometry or fractal geometry? Modeling with algebra or modeling with spreadsheets? Graph theory or solid geometry? These are the wrong questions.
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Traditional courses mechanisms for communicating established results
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Traditional courses mechanisms for communicating established results give students a bag of facts
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Traditional courses mechanisms for communicating established results give students a bag of facts reform means replacing one set of established results by another
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Traditional courses mechanisms for communicating established results give students a bag of facts reform means replacing one set of established results by another learn properties, apply the properties, move on
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New view of curriculum Results of mathematics research Methods used to create mathematics
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New view of curriculum Results of mathematics research Methods used to create mathematics
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New view of curriculum Results of mathematics research Methods used to create mathematics
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Goals Train large numbers of university mathematicians.
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Goals Train large numbers of university mathematicians.
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Goals Help students learn and adopt some of the ways that mathematicians think about problems.
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