Linear algebra concepts with SageMath for systems engineering students


Authors

  • Samin Ingrith Ceron Bravo Universidad del Cauca
  • Magister Universidad del Cauca

DOI:

https://doi.org/10.22517/23447214.25171

Keywords:

ICT; educational innovations, algebra; geometry; equations

Abstract

This work presents an innovative proposal for the teaching and learning of systems of linear equations, graphical interpretation in the plane, in space and orthogonal projection, in the subject of Linear Algebra, mediated by the SageMath software as a technology of learning and knowledge. The proposal was carried out in some Linear Algebra courses in the Systems Engineering career at the University of Cauca, helping to increase its quality, reduce the retention rate and contribute to educational innovation in the university student population. The methodology for the development of this work consisted of the design and application of activities that comprise a set of problems which require the creation of functions in the Python programming language under the SageMath, environment to obtain possible solutions and correlate algebraic and geometric representation registers of the mathematical objects necessary for its solution. We conclude at the end of this educational research the relevance of the integration of technological tools within the classroom in conjunction with active methodological strategies to stimulate the understanding of some concepts of Linear Algebra; since the student can visualize, manipulate and observe these abstract mathematical objects, eliminating unnecessary manual actions and focusing on the analysis of logical deduction for the solution of the proposed activities.

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Author Biographies

Samin Ingrith Ceron Bravo, Universidad del Cauca

I graduated as a Doctor in Ciencia con Mención en Matemáticas, Universidad de Santiago de Chile:USACH in the year 1995, as a Magister en Ciencias-Matemáticas, Universidad del Valle, Colombia, Cali-Valle in the year 2011. Licenciada en Educación con Especialidad en Matemáticas, Universidad del Cauca, Colombia, Cauca-Popayán in the year 2005.  I currently work as a teacher in the Department of Mathematics at the University of Cauca and I am part of the research group " Estructuras Algebraicas, Divulgación Matemática y Teorías Asociadas".

Magister, Universidad del Cauca

Graduated from the University of Chile in 2011 as a Bachelor of Science with a mission in Mathematics, graduated as a Master in Mathematical Sciences from the University of Cauca in 2015. I currently work as a teacher in the Department of Mathematics at the University of Cauca and I am part of the research group " Estructuras Algebraicas, Divulgación Matemática y Teorías Asociadas ".

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Published

2023-12-15

How to Cite

Ceron Bravo, S. I., & Romero Luna, R. M. (2023). Linear algebra concepts with SageMath for systems engineering students. Scientia Et Technica, 28(04), 216–228. https://doi.org/10.22517/23447214.25171

Issue

Vol. 28 No. 04 (2023): Octubre-Diciembre

Section

Ciencias Básicas

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