In teaching linear algebra much of the content generated many doubts during its explanation. In this situation is necessary to show the student the mathematical concepts as clearly and specifically as possible. In this project will design, build and evaluate a proposal to enhance learning concepts of the topic of "Real Geometric Vectors". It comes to using of Learning Objects to support classroom training systems and Geometric Representations constructions in Geogebra for the concretization of abstract concepts. The hypothesis of this project is "Learning Objects and Geometric Representations promote understanding of the contents of the topic Geometric Real Vectors and their applications." The research process involves the design, development, and evaluation of learning objects and organization and analysis of information. The elements of this paper are the context and motivation research, research goals, State-of-the-art, hypothesis, the methodology used in the project, results to date and expected Contributions.