Abstract

GALLO, Humberto G.; VERON, Claudio A.  and  HERRERA, Carlos G. R.. Interpretation of linear transformations in the plane using GeoGebra. Rev. iberoam. tecnol. educ. educ. tecnol. [online]. 2019, n.24, pp.32-37. ISSN 1851-0086.

In the study of Linear Algebra concepts, some of the cognitive difficulties observed in students, are derived from the lack of articulation of different representations of a mathematical object, especially between the symbolic register and its corresponding geometric correlation specially in vector spaces (R².+.R,*) or (R³.+.R.*), wining, consequently, algoritmic procedures through conceptual ones. Based on the theory of Mathematics Visualization, use of Geogebra software is proposed as educational tool for the learning process of linear Algebra contents, specifically for linear transformations. The dynamic characteristic of this application allows the geometric interpretation of this transformation, and of related concepts like its nucleus and image, from its corresponding asociated matrix. Besides its pretended that students discover the relations between the singularity of the matrix and the dimensions of the nucleus and image of a linear transformation.

Keywords : Linear transformations; Visualization; GeoGebra.

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