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Computational Thinking in Linear Algebra

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

2013

Denver, Colorado

Computational Thinking in Linear Algebra

Page: 2-410

In this work, we examine students' ways of thinking when presented with a novel linear algebra problem. We have hypothesized that in order to succeed in linear algebra, students must employ and coordinate three modes of thinking, which we call computational, abstract, and geometric. This study examines the solution strategies that undergraduate honors linear algebra students employ to solve the problem, the variety of productive and reflective ways in which the computational mode of thinking is used, and the ways in which they coordinate the computational mode of thinking with other modes.

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