Skip to Main content Skip to Navigation
Conference papers

What do prospective mathematics teachers mean by “definitions can be proved”?

Abstract : The research reported here is part of an ongoing study in which prospective middle school mathematics teachers’ conceptions of definition are investigated through their responses to semi-structured interview questions about defining quadrilaterals. Here we present findings from their responses to a subset of the interview questions, with the purpose of understanding what they mean by the expression “definitions can be proved”- an expression commonly referenced, and considered as erroneous in the research literature. Analysis of the responses, through using thematic coding and Toulmin’s (1958) scheme, revealed that participants attributed two different meanings to the phrase: (1) proving the claim that a written definition accurately designates an intended concept and (2) proving the concept being defined (erroneous). Based on our findings, we point to a reconsideration of the phenomenon by the research community.
Document type :
Conference papers
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02398094
Contributor : Michiel Veldhuis Connect in order to contact the contributor
Submitted on : Friday, December 6, 2019 - 8:54:58 PM
Last modification on : Tuesday, December 17, 2019 - 2:28:53 AM
Long-term archiving on: : Saturday, March 7, 2020 - 6:45:03 PM

File

TWG01_13_GS_AMR.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02398094, version 1

Collections

Citation

Merve Dilberoğlu, Çiğdem Haser, Erdinç Çakiroğlu. What do prospective mathematics teachers mean by “definitions can be proved”?. Eleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Feb 2019, Utrecht, Netherlands. ⟨hal-02398094⟩

Share

Metrics

Record views

94

Files downloads

42