Research in Mathematical Education (한국수학교육학회지시리즈D:수학교육연구)

Korean Society of Mathematical Education (한국수학교육학회)
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Teaching the Intermediate Value Theorem with Non-Existing Examples

  • Hwang, Jihyun (University of Iowa) ;
  • Hong, Dae S. (University of Iowa)
  • Received : 2019.12.09
  • Accepted : 2018.01.25
  • Published : 2020.03.31
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Abstract

In this case study, a professor was observed to investigate use of instructional examples when teaching the Intermediate Value Theorem in a calculus course. Video-recorded lessons were analyzed with constant comparison to video-stimulated recall interviews and field notes. The professor employed multiple instructional examples, which was initiated by students and modified by the professor. The professor asked students to build non-existing examples as an informal proof of the Intermediate Value Theorem and assessment of students' previous knowledge. Use of incorrect examples on instructional purpose can be an appropriate way for formative assessment as well as a bridge between informal and formal proofs in college mathematics.

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References

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