Resumen
Drawing on APOS Theory as our theoretical and methodological framework, we investigate under a cognitive approach the mental structures necessary to build the vector base change theorem (CBVT). In order to analyse the way in which college students learn it, a genetic decomposition (DG) for the theorem was designed. Through three case studies, it is shown how individual students build the concept of coordinates of a vector, but also have difficulties to use it in the construction of the vector coordinates matrix. This difficulty is linked to the fact that they have not coordinated the processes involved in terms of the quantifier. Specifically, we point to difficulties in building the CBVT as an object and in establishing the determining role of the concept of linear combinations in the CBVT.
Título traducido de la contribución | Estructuras mentales para modelar el aprendizaje del teorema de cambio base de vectores |
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Idioma original | Inglés |
Páginas (desde-hasta) | 129-150 |
Número de páginas | 22 |
Publicación | Ensenanza de las Ciencias |
Volumen | 34 |
N.º | 2 |
DOI | |
Estado | Publicada - jun. 2016 |