Creating, understanding and teaching mathematics: complementary processes

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2012

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The purpose of this dissertation is to explore the relationships among understanding, creating and teaching mathematics. It includes two pairs of complementary mathe­matics and education papers. The papers are complementary in the sense that the education papers draw on the experiences of creating the mathematics that appear in the mathematics papers and in doing so, provide insight into how the mathe­matical concepts, theorems and proofs are constructed. The education papers not , only provide insight into one mathematician's creating of mathematics, but mine the experiences and insights for their pedagogical implications.

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Bibliography: p. 157-169

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Rapke, T. (2012). Creating, understanding and teaching mathematics: complementary processes (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://ucalgary.scholaris.ca. doi:10.11575/PRISM/4982

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http://hdl.handle.net/1880/105983

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