Local Instruction Theories at the University Level: An Example in a Linear Algebra Course
Andrea Cárcamo 1 * , Claudio Fuentealba 1, Diego Garzón 2
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1 Facultad de Ciencias de la Ingeniería, Universidad Austral de Chile, CHILE2 Instituto de Educación y Pedagogía, Universidad del Valle, COLOMBIA* Corresponding Author


In order to promote the design of innovative instructional activities at the Linear Algebra, we perform a design-based research project to explore how to teach Linear Algebra at the university level. In this article, we present the results of three cycles of a teaching experiment that we carried out to design, try out, and improve a local instruction theory (LIT) on the teaching of the concepts of spanning set and span in Linear Algebra with first-year engineering students. In a retrospective analysis, we looked for patterns in the data set of all the experiments, and we identified key learning moment of the students. Based on these patterns, we formulated a LIT to support the construction of the concepts of spanning set and span.


This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, 2019, Volume 15, Issue 12, Article No: em1781


Publication date: 05 Jul 2019

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