PROCEEDINGS OF THE 22ND ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2019
Oklahoma City, Oklahoma
Example spaces for functions: Variations on a theme
Page: 402
In this study we focus on example spaces for the concept of a function provided by prospective secondary school teachers in an undergraduate program. This is examined via responses to a scripting task – a task in which participants are presented with the beginning of a dialogue between a teacher and students, and are asked to write a script in which this dialogue is extended. The examples for functions fulfilling certain constraints provide a lens for examining the participants’ concept images of a function and the associated range of permissible change. The analysis extends previous research findings by providing refinement of students’ ideas related to functions and the concept of the function domain.