Extrema points: concept images, mis-in and mis-out examples

Pessia Tsamir, Regina Ovodenko, Dina Tirosh*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper reports on students’ conceptions of minima points. Written assignments and individual interviews uncovered salient, concept images, as well as erroneous mis-out examples that mistakenly regard examples as non-examples and mis-in examples that mistakenly grant non-examples the status of examples. We used Tall and Vinner’s theoretical framework to analyze the students’ errors that were rooted in mathematical and in real-life contexts.

Original languageEnglish
Pages (from-to)13-33
Number of pages21
JournalEducational Studies in Mathematics
Volume115
Issue number1
DOIs
StatePublished - Jan 2024

Keywords

  • Concept image
  • Extremum
  • Minimum
  • Mis-in examples
  • Mis-out examples
  • Representation

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