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Science and Mathematics Education Commons

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Mathematics

Theses/Dissertations

2011

Open Access Theses & Dissertations

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Metaphors, Metonymies, Modes And Linear Algebra, Persis Samanta Beaven Jan 2011

Metaphors, Metonymies, Modes And Linear Algebra, Persis Samanta Beaven

Open Access Theses & Dissertations

The analysis focused on the presence of different thinking modes, metonymies, and metaphors found on the interview responses to questions related to linear independence, span, and spanning sets of four students taking their first linear algebra course at the college level. The findings provide insight of how first year linear algebra students move from one thinking mode to another and what kind of metonymies and metaphors are used to construct new knowledge. The main purpose of this research was to document and determine the main characteristics that categorize the four students' reasoning.