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Bringing the Familiar to the Unfamiliar: The Use of Knowledge from Different Domains in the Proving Process

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PROCEEDINGS OF THE 16TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION (Vol 2)

2013

Denver, Colorado

Bringing the Familiar to the Unfamiliar: The Use of Knowledge from Different Domains in the Proving Process

Page: 2-580

This report considers student proof construction in small groups within an inquiry-orientated abstract algebra classroom. During an initial analysis, several cases emerged where students used familiar knowledge from another mathematical domain to provide informal intuition. I will report on two episodes in order to illustrate how this intuition could potentially aid or hinder the construction of a valid proof.

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