CHANGING CONES: THEMES IN STUDENTS’ REPRESENTATION OF A DYNAMIC SITUATION

• In Event: MATH PROCESSES. REPRESENTATION OF A DYNAMIC SITUATION

Description

This report discusses the results of semi-structured clinical interviews with ten prospective secondary mathematics teachers who were provided with a dynamic image of a growing and shrinking cone. We asked the students to graph the relationship between the surface area and the height of the cone. We identify four themes in the students’ solution approaches and discuss the implications of these approaches. Specifically, we discuss the themes with respect to relationships between the students’ solutions and their image of the growing and shrinking cone, including the extent that they leveraged this image to determine their solutions.

Authors

• Irma Emma Stevens, University of Georgia

• Natalie Hobson, University of Georgia

• Kevin C. Moore, University of Georgia

• Teo Paoletti, Montclair State University

• Kevin R. LaForest, University of Georgia

• Kathryn D. Mauldin, University of Georgia