28. CHANGING CONES: STUDENTS’ IMAGES OF A DYNAMIC SITUATION

• In Event: POSTER GROUP 1

Description

Researchers have argued for increased attention to the images students construct when modeling and reasoning quantitatively. Addressing this call, we used semi-structured task-based clinical interviews with 10 students to explore the images students constructed as they made sense of the relationship between a cone’s height and surface area as the cone’s height increased and decreased in a proportional relationship with the radius. We characterize the images students relied on when imagining the cone growing and shrinking. Our results indicate that the students developed idiosyncratic images that greatly influenced how they solved the problem.

Authors

• Teo Paoletti, Montclair State University

• Kathryn D. Mauldin, University of Georgia

• Kevin C. Moore, University of Georgia

• Irma Emma Stevens, University of Georgia

• Natalie Hobson, University of Georgia

• Kevin R. LaForest, University of Georgia