PROCEEDINGS OF THE 22ND ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2019
Oklahoma City, Oklahoma
Exploring connections between students’ representational fluency and functional thinking
Page: 1067
This study explores the relationship between preservice teachers (PTs) representational fluency and functional thinking. We conducted task-based interviews with five preservice teachers within a growing rectangle context. Although PT create, interpret, and connect representations with covariational and corresponding approach, they identified relationship between area and height an exponential rather than a quadratic. These findings illustrate a challenge of building rich conceptions of functions from emerging representational fluency and functional reasoning.