Local Instruction Theories at the University Level: An Example in a Linear Algebra Course

Andrea Cárcamo; Claudio Fuentealba; Diego Garzón

doi:10.29333/ejmste/108648

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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

Abstract

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.

Keywords

emergent models
instructional design
linear algebra
local instruction theory

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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, Volume 15, Issue 12, December 2019, Article No: em1781

https://doi.org/10.29333/ejmste/108648

Publication date: 05 Jul 2019

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How to cite this article

APA

Cárcamo, A., Fuentealba, C., & Garzón, D. (2019). Local Instruction Theories at the University Level: An Example in a Linear Algebra Course. Eurasia Journal of Mathematics, Science and Technology Education, 15(12), em1781. https://doi.org/10.29333/ejmste/108648

Vancouver

Cárcamo A, Fuentealba C, Garzón D. Local Instruction Theories at the University Level: An Example in a Linear Algebra Course. EURASIA J Math Sci Tech Ed. 2019;15(12):em1781. https://doi.org/10.29333/ejmste/108648

AMA

Cárcamo A, Fuentealba C, Garzón D. Local Instruction Theories at the University Level: An Example in a Linear Algebra Course. EURASIA J Math Sci Tech Ed. 2019;15(12), em1781. https://doi.org/10.29333/ejmste/108648

Chicago

Cárcamo, Andrea, Claudio Fuentealba, and Diego Garzón. "Local Instruction Theories at the University Level: An Example in a Linear Algebra Course". Eurasia Journal of Mathematics, Science and Technology Education 2019 15 no. 12 (2019): em1781. https://doi.org/10.29333/ejmste/108648

Harvard

Cárcamo, A., Fuentealba, C., and Garzón, D. (2019). Local Instruction Theories at the University Level: An Example in a Linear Algebra Course. Eurasia Journal of Mathematics, Science and Technology Education, 15(12), em1781. https://doi.org/10.29333/ejmste/108648

MLA

Cárcamo, Andrea et al. "Local Instruction Theories at the University Level: An Example in a Linear Algebra Course". Eurasia Journal of Mathematics, Science and Technology Education, vol. 15, no. 12, 2019, em1781. https://doi.org/10.29333/ejmste/108648