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The Novice Mathematician’s Encounter With Mathematical Abstraction:
Tensions in Concept-Image Construction and Formalisation
Elena Nardi
A thesis submitted for the degree of Doctor of Philosophy at the
University of Oxford
Linacre College
Trinity Term 1996
Chapter 1: A Review of Relevant Literature
Chapter 2:The Methodological Approach of the Study
Chapter 3: The Pilot Study
Chapter 4: Procedures of Data Collection
Chapter 5: Procedures of Data Analysis
Interlude: An Introduction to Chapters 6-9
Chapter 6: Foundational Analysis
Chapter 7: Calculus
Chapter 8: Linear Algebra
Chapter 9: Group Theory
Chapter 10: A Cross-Topical Synthesis
Note: Due to losses of formatting and special characters in the transfer from AppleMac to PC and then to HTML documents, some of the mathematical symbols in the text have been deformed. Their reconstruction is under way. The work is complete for the main text of the thesis and the Extracts and will soon be complete for the Figures too. In the meantime, please accept my apologies for the inconvenience.