Study on the cognitive construction of the change of basis matrix in terms of APOS Theory

Authors

  • Esteban Mendoza-Sandoval Universidad Autónoma de Guerrero
  • Flor Monserrat Rodríguez-Vásquez Universidad Autónoma de Guerrero
  • Solange Roa-Fuentes Universidad Industrial de Santander
  • Jesús Romero-Valencia Universidad Autónoma de Guerrero

DOI:

https://doi.org/10.35763/aiem20.4011

Keywords:

Genetic decomposition, reflexive abstraction, change of basis, linear algebra

Abstract

This article shows the construction of the change of basis matrix in linear algebra. Based on the APOS theory as a theoretical and methodological framework, the structures and mental mechanisms are described to obtain a genetic decomposition based on the conceptions that students have about such a  concept. A diagnostic test was applied to 28 undergraduate students (18-21 years of age). Semi-structured interviews were also conducted. The results show at least two trajectories in the construction of change of basis matrix concept, which differ in the internalization of mental actions.

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References

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Published

2021-10-25

How to Cite

Mendoza-Sandoval, E., Rodríguez-Vásquez, F. M., Roa-Fuentes, S., & Romero-Valencia, J. (2021). Study on the cognitive construction of the change of basis matrix in terms of APOS Theory. Advances of Research in Mathematics Education, (20), 65–87. https://doi.org/10.35763/aiem20.4011

Issue

No. 20 (2021)

Section

Artículos

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