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Balancing formal, symbolic and embodied world thinking in first year calculus lectures

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PROCEEDINGS OF THE 18TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2015

Pittsburgh, Pennsylvania

Balancing formal, symbolic and embodied world thinking in first year calculus lectures

Page: 970

In this paper we present a mathematics professor’s thought processes while teaching Calculus I, as shared through her teaching diaries and later discussed in weekly meetings with a team of two other mathematicians, a mathematics educator, and a cognitive psychologist over the period of a semester. We examine the way she balanced formal and symbolic thinking while encouraging embodied thinking throughout her lectures. Moreover, we will discuss some data obtained from students through interviews, a questionnaire, and end-of-semester course evaluations.

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