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Learning Linear Algebra Through Instrumentation of Interactive Figures: Analysis of Student-Generated Mathematical Observations and Conjectures

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RUME 27

2025

Alexandria, Virginia

Learning Linear Algebra Through Instrumentation of Interactive Figures: Analysis of Student-Generated Mathematical Observations and Conjectures

Page: 680

Linear algebra is an important topic with many in-demand applications. In this paper, we consider a set of digital interactive figures created for introductory linear algebra students. The figures were designed to scaffold student experimentation with linear algebraic objects in the process of making observations and conjectures. We analyzed a collection of student reflections written about their experience and observations from the interactive figures through the theory of instrumental genesis. Based on the results of this pilot study, we believe that these interactive figures can be effective in promoting cycles of observation and conjecture as pre-proof activity.

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