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On the Axiomatization of Mathematical Understanding: Continuous Functions in the Transition to Topology
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Cheshire, Daniel C. – ProQuest LLC, 2017
The introduction to general topology represents a challenging transition for students of advanced mathematics. It requires the generalization of their previous understanding of ideas from fields like geometry, linear algebra, and real or complex analysis to fit within a more abstract conceptual system. Students must adopt a new lexicon of…
Descriptors: Qualitative Research, College Mathematics, Introductory Courses, Mathematics Activities