Insights about functions from example-generation tasks: combining e-assessment and written responses
Résumé
In this paper we report on student responses to a sequence of tasks that ask for examples of function graphs with various properties. We gathered large samples of student responses to both an e-assessment (N=322) and written (N=332) version of the tasks, and conducted task-based interviews with a further group of students (N=8 for e-assessment, N=11 for written). In the large samples of responses, we identify common families of correct and incorrect responses. Possible explanations for the incorrect responses offer insights into students’ (mis)understanding of function concepts, which are supported with observations from the task-based interviews.
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