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SPANNING SET AND SPAN: AN ANALYSIS OF THE MENTAL CONSTRUCTIONS OF UNDERGRADUATE STUDENTS

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RUME 14 (Volume 1)

2011

Portland, Oregon

SPANNING SET AND SPAN: AN ANALYSIS OF THE MENTAL CONSTRUCTIONS OF UNDERGRADUATE STUDENTS

Page: 176

We present a genetic decomposition using APOS Theory, about the way in which students can construct the concepts of spanning set and span in Linear Algebra. We also present empirical data coming from interviews made with 11 university students who had completed a course on Analytic Geometry which included an introduction to Linear Algebra. We report on our observations and suggest possible modifications to our initial theoretical analysis.

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