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A case study of analyzing student teachers’ concept images of the definite integral


F Habineza

Abstract

This paper presents a tool for analyzing student teachers’ concept images of the definite integral. The tool shows the basic concepts that underpin the concept of the definite integral and displays them in terms of process and object conceptions within various representations in the context of area under a curve. The use of the tool is exemplified by an analysis of three student teachers’ concept images exhibited during an interview that I held with them at the end of one-semester first-year calculus course. The tool can enable mathematics educators to analyze student teachers’ concept images of the definite integral. The findings also can orient them in revisiting their teaching strategies in order to improve student teachers’ concept images developed during a given period.

Key words: Definite integral, concept images, process conceptions, object conceptions, operational conceptions.


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eISSN: 2312-9239