Browsing by Author "Rapke, Tina"
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Item Open Access Creating, understanding and teaching mathematics: complementary processes(2012) Rapke, Tina; Towers, Jo; Seyffarth, KarenThe purpose of this dissertation is to explore the relationships among understanding, creating and teaching mathematics. It includes two pairs of complementary matheĀmatics 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 matheĀmatical 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.