Resumen de Analysis of ways of thinking in the approach to systems of homogeneous linear equations
Jaime Barrera, Lilia Bautista, Antonio Pérez Campos
This research to analyze the modes of thinking synthetic-geometrical, analytic-arithmetic and analyticstructural in Linear Algebra Sierpinska (2000), and approach in solving problems Homogeneous Linear Equations Systems and their relationship with concepts of linear independence, as well as strategies and present difficulties by students of the first semester. The study was done by writings and interviews, questionnaires applied in two stages. The first exploratory stage questionnaire was applied as a group as two different groups who were in linear algebra, then a student selected were interviewed. In a second phase an interview was applied to three successful undergraduate students who had recently completed Linear Algebra. The answers to problems were recorded on paper and interviews students were videotaped and audio for analysis. The research analysis shows that there are difficulties with the student in the transition of different modes of thinking, we see that the concepts are fragmented, does not exist in the mind of the student relationship among these are concepts without significance was also observed you do not have a clear concept of homogeneity, and there is difficulty in the transition on modes of thinking.
