Estructuras mentales para modelar el aprendizaje del teorema de cambio base de vectores

MARCELA CECILIA PARRAGUEZ GONZALEZ, Javier Lezama, Raúl Jiménez

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

4 Citas (Scopus)

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 contribuciónMental structures for modeling the learning of the change of basis theorem for vectors
Idioma originalEspañol
Páginas (desde-hasta)129-150
Número de páginas22
PublicaciónEnsenanza de las Ciencias
Volumen34
N.º2
DOI
EstadoPublicada - 1 jun 2016

Palabras clave

  • APOS Theory
  • Change of basis
  • Learning
  • Vector coordinates

Huella

Profundice en los temas de investigación de 'Estructuras mentales para modelar el aprendizaje del teorema de cambio base de vectores'. En conjunto forman una huella única.

Citar esto