Towers, JoSeyffarth, KarenRapke, Tina2017-12-182017-12-182012Rapke, T. (2012). Creating, understanding and teaching mathematics: complementary processes (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/4982http://hdl.handle.net/1880/105983Bibliography: p. 157-169The 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.xiv, 174 leaves : ill. ; 30 cm.engUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.doctoral thesis10.11575/PRISM/4982