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Artículos

Vol. 25 No. 1 (2022): March

MENTAL STRUCTURES AND MECHANISMS THAT, FROM A GEOMETRIC PERSPECTIVE, MODEL AND ARTICULATE THE LEARNING OF VALUE AND OWN VECTOR IN R2

DOI
https://doi.org/10.12802/relime.22.2513
Submitted
November 8, 2022
Published
2022-07-25

Abstract

Two refined genetic decompositions (DG's) are proposed, as a result of the application of the APOE Research Cycle, which describe structures and mental mechanisms for the concept of value and eigenvector in two case studies. The first DG0 models the prior knowledge that high school students (14-16 years old) must achieve to build said concept in R2 at university, —this model is based on the rotation of vectors and the concept of scalar multiple—. The second DG1 models in R2 the construction of value and eigenvector in first-year university students and shows how to rely on high school topics to structure said concept from relationships between the linear transformation and the scalar multiple vector as generator of a straight line. The data analysis allows validating the DG's and outlining a cognitive path for learning the concept of value and eigenvector in R2.

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