Revista latinoamericana de investigación en matemática educativa
Print version ISSN 1665-2436
ROA-FUENTES, Solange and OKTAC, Asuman. Constructing a genetic decomposition: theoretical analysis of the linear transformation concept. Relime [online]. 2010, vol.13, n.1, pp. 89-112. ISSN 1665-2436.
The aim of this paper is to present the process that we followed in order to prepare a genetic decomposition of the concept of linear transformation, showing the steps we took in its construction and the difficulties that we encountered. The design is based on a theoretical analysis determined by the research cycle related to APOS theory. We propose two genetic decompositions that describe two possible ways to construct this concept, one that uses the mechanism of interiorization and another that uses coordination.
Keywords : Linear transformation; genetic decomposition; linear algebra; APOS theory.