Digital media support functional thinking: How a digital self-assessment tool can help learners to grasp the concept of function
Résumé
Developing functional thinking is a central objective in mathematics education. Students especially need to internalize three aspects of functions: mapping, covariation, and object besides learning to translate flexibly between various representations. However, many learners struggle to recognize and interpret functional relationships. To help these students, a formative self-assessment approach with digital media offers new possibilities. Technology can support understanding not only due to the use of multiple, dynamic, interactive, or linked representations, but offer a constraint-support structure to guide students' actions. We present two case studies in form of task-based interviews from the third cycle of a design-based research study that aims at the development and evaluation of the "self-assessment for functional thinking electronic" (SAFE) tool. The cases show how certain technological features of the SAFE tool support learners' self-assessment and functional thinking.
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