Mathematics Educators' Views on the Role of Mathematics Learning in Developing Deductive Reasoning

Michal Ayalon, Ruhama Even

Research output: Contribution to journalArticlepeer-review

Abstract

This study examines the views of people involved in mathematics education regarding the commonly stated goal of using mathematics learning to develop deductive reasoning that is usable outside of mathematical contexts. The data source includes 21 individual semi-structured interviews. The findings of the study show that the interviewees ascribed different meanings to the above-stated goal. Moreover, none of them said that it is possible to develop formal logic-based reasoning useful outside of mathematics, but for different reasons. Three distinct views were identified: the intervention-argumentation view, the reservation-deductive view, and the spontaneity-systematic view. Each interviewee's view was interrelated with the interviewee's approach to deductive reasoning and its nature in mathematics and outside it.

Original languageEnglish
Pages (from-to)1131-1154
Number of pages24
JournalInternational Journal of Science and Mathematics Education
Volume8
Issue number6
DOIs
StatePublished - Dec 2010
Externally publishedYes

Keywords

  • deductive reasoning
  • developing
  • mathematics educators
  • mathematics learning
  • views

ASJC Scopus subject areas

  • Education
  • Mathematics (all)

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