Beyond inductive and deductive reasoning: The search for a sense of knowing

Research output: Contribution to journalArticle

Abstract

Examination of data from several mathematics education research projects has led the author to postulate a form of mathematical reasoning that learners engage in spontaneously and that is not inherently inductive or deductive. Transformational reasoning is generated through the learner's inquiry into how a mathematical system works. This sense of 'how it works' may lead to a sense of understanding that may not be provided by inductive and deductive reasoning.

Original languageEnglish (US)
Pages (from-to)197-210
Number of pages14
JournalEducational Studies in Mathematics
Volume30
Issue number2
StatePublished - 1996

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research project
Reasoning
Mathematical reasoning
mathematics
examination
Mathematics Education
Postulate
education
Form

ASJC Scopus subject areas

  • Mathematics(all)
  • Social Sciences(all)

Cite this

Beyond inductive and deductive reasoning : The search for a sense of knowing. / Simon, Martin.

In: Educational Studies in Mathematics, Vol. 30, No. 2, 1996, p. 197-210.

Research output: Contribution to journalArticle

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