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Multiple Representations Of The Fundamental Theorem Of Calculus As Enacted In The Curriculum, Sense-Making And Gender, Ileana Vasu Mar 2018

Multiple Representations Of The Fundamental Theorem Of Calculus As Enacted In The Curriculum, Sense-Making And Gender, Ileana Vasu

Doctoral Dissertations

Multiple representations of the Fundamental Theorem of Calculus (FTC) are deemed essential to creating mathematical habits of mind, but not all classroom instruction includes them. This study articulates the relationship between college students’ experience with multiple representations of the FTC, gained through the enacted curriculum, and their use of multiple representations when problem solving or discussing the FTC. It suggests that students’ use of multiple representations directly relates to their curricular experience, which outweighs a student’s own inclination towards any particular representation. It further suggests that the relationship between classroom experience with a particular representation of the FTC, and its …