East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A study on understanding of continuity concept of function

함수의 연속 개념 이해에 대한 연구

  • Oh, Hye-Young (Department of Mathematics Education, Incheon National University)
  • Received : 2023.01.26
  • Accepted : 2023.02.27
  • Published : 2023.02.28
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Abstract

Most of calculus and real analysis are concerned with the study on continuous functions. Because of self-sustaining concept caused by everyday language, continuity has difficulties. This kind of viewpoint is strengthened with that teacher explains continuity by graph drawn ceaselessly and so finally confused with mathematics concept which is continuity and connection. Thus such a concept image of continuity becomes to include components which create conflicts. Therefore, we try to analyze understanding of continuity on university students by using the concept image as an analytic tool. We survey centering on problems which create conflicts with concept definition and image. And we investigate that difference of definition in continuous function which handles in calculus and analysis exists and so try to present various results on university students' understanding of continuity concept.

Keywords

Acknowledgement

This work was supported by the Incheon University Research Grant in 2021.

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