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Physical Sciences and Mathematics Commons

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Science and Mathematics Education

Numeracy

2011

Cognition

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Parts Of The Whole : Cognition, Schemas, And Quantitative Reasoning, Dorothy Wallace Jan 2011

Parts Of The Whole : Cognition, Schemas, And Quantitative Reasoning, Dorothy Wallace

Numeracy

Based loosely on ideas of Jean Piaget and Richard Skemp, this Parts of the Whole column considers the construction of knowledge in mathematics and quantitative reasoning. Examples are chosen that illustrate an important cognitive difference between quantitative numeracy and classical mathematics, and which illuminate the particular choices instructors must make in order to teach either or both of these.