The Mental Models Theory of Deductive Reasoning: Implications for Proof Instruction

نویسندگان

  • Andreas J. Stylianides
  • Gabriel J. Stylianides
چکیده

There are currently increased efforts to make proof central to school mathematics throughout the grades. Yet, realizing this goal is not easy, as it requires that students master several abilities. In this article, we focus on one such ability, namely, the ability for deductive reasoning. We first offer a conceptualization of proof, which we use to delineate our focus on deductive reasoning. We then review Johnson-Laird’s mental models theory – a well-respected psychological theory of deductive reasoning – in order to enhance what is currently known in mathematics education research about deductive reasoning in the context of proof.

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تاریخ انتشار 2007