期刊名称：Enseñanza de las ciencias: revista de investigación y experiencias didácticas
印刷版ISSN：2174-6486
出版年度：2019
卷号：37
期号：1
页码：71-92
DOI：10.5565/rev/ensciencias.2194
出版社：Universitat de València
摘要：In this research, we propose a genetic decomposition for the solution set of a system of linear equations with two unknowns, by means of a transit from a homogeneous to a non-homogeneous linear system, in a Cartesian geometric context. To validate our genetic decomposition, we designed instruments that we applied to students from a secondary school mathematics teacher training program. Thus, and by using implicative statistics, we were able to confirm the mental constructions and mechanisms considered in our genetic decomposition. The results show lack of understanding of what a solution for a system is, difficulties in articulating the geometrical and algebraic aspects, and the convenience of using an alternative strategy in the case of systems of three or more linear equations.
关键词：Sistemas de ecuaciones lineales ; Futuros profesores ; Educación secundaria ; Teoría APOE
