Use of cognitive constructs in linear algebra
Thesis analyzed the presence of two cognitive entities—modes of thinking and metonymies and metaphors—in the reasoning of three students enrolled in a first year matrix algebra course at a southwest university via the responses given to a set of eight questions asked during one-on-one interviews. The findings of our analysis shed light on the cognitive constructs that students employ to form their understanding of linear algebra concepts. Furthermore, our findings provide clues about the ways in which students move from one mode of thinking to another in the context of varying levels of exposure to graphical, algebraic, and numerical representations.
Mathematics education|Mathematics|Cognitive psychology|Curriculum development
Zamora, Azucena, "Use of cognitive constructs in linear algebra" (2010). ETD Collection for University of Texas, El Paso. AAI1477835.