# RUME Seminar

The Generation and Use of Examples in Calculus Classrooms

**Date:** 4/25/2018**Time:** 4:30PM-5:30PM**Place:** 315 Armstrong Hall

Vicki Sealey, Johnna Bolyard, Matthew Campbell, Nicole Engelke Infante

**Abstract:** In this paper, we analyze video data of five instructors teaching the Mean Value Theorem in a firstsemester calculus course. Throughout the lessons, graphical examples were provided by the instructors and/or the students of functions that satisfied or did not satisfy the conclusion of the Mean Value Theorem. Through the use of thematic analysis, we identified four themes related to emergence and use of examples: who generated the example, who evaluated the example, for what purpose the example was used, and the richness of the example. We emphasize that instruction that leverages student generated examples can provide a great deal of richness in a mathematics lesson and create opportunities to engage students in authentic mathematical activity. This work contributes to an evolving notion of what is entailed in studentsâ€™ active learning of mathematics and the role of the instructor.

All are welcome.