Open AccessLevel of competence on the concept of basis of vector space using SOLO taxonomy
Author(s) -
Verónica Valenzuela-González,
Andrés Hernández-Quintana,
Alberto Camacho Ríos
Publication year - 2021
Publication title -
journal-mathematical and quantitative methods
Language(s) - English
Resource type - Journals
ISSN - 2531-2979
DOI - 10.35429/jmqm.2021.8.5.10.16
Subject(s) - taxonomy (biology) , competence (human resources) , vector space , basis (linear algebra) , computer science , perspective (graphical) , mathematics education , artificial intelligence , mathematics , psychology , social psychology , pure mathematics , geometry , biology , botany
The purpose of this research paper is to determinate the level of competence on the concept of basis of a vector space on college level students who finished the Linear Algebra course, providing complementary information to the various studies from a different perspective through the SOLO taxonomy (Structure of the Observed Learning Outcome). An instrument was designed to address the concept of basis from different perspectives and difficulty degrees; it was applied through individual video-recorded interviews. Their answers were analyzed, and it was found that they average level 3 (multistructural) of the taxonomy: the students know the basis definition from an algorithmic or methodological perspective, and they can reproduce some procedures, but they are unable to understand the basis concept.