Krista Bresock Prospectus

Students’ Understanding of Integration and Their Use of Visualizations When Solving Volume Problems

Abstract: Second-semester calculus volume problems involve two areas important in calculus: integration and visualization. The literature is rich in research on calculus and research on visualization, but minimal on the interplay between calculus and visualization, and even less on the topic of calculus volume problems. In this research, three pilot studies were conducted with the aim of investigating student understanding of integration when solving volume problems and how students use their drawings to aid in the volume problem-solving process. The data collected shows evidence that students tend to think more formulaically and rely on memorized formulas when solving revolution volume problems versus other types of volume problems. Students’ sketches were used heavily in the problem-solving process, but with varied results. This presentation will discuss the literature on calculus and visualization, the results of the three pilot studies, and plans for the future dissertation study.

Date: 5/9/2018
Time: 1:30PM-2:30PM
Place: 315 Armstrong Hall

A ~forty minute presentation, followed by questions and comments from attendees.
Everyone is invited to attend.

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