Aplicação de vetores na solução de sistemas lineares 2x2 e 3x3

Abstract

This paper proposes the inclusion of the subject vectors in high school mathematics curriculum with the help of GeoGebra dynamic mathematics software. According to the research conducted, the use of digital technologies in public schools is still incipient. Despite a large supply of materials and equipment for computer rooms in public schools, little effort is perceived regarding the professional development for in-service teachers to use those tools for the benefit of students. A method proposed to overcome this obstacle is provide prepared instructional materials, so that teachers offer less resistance in the use of educational software, once they are already overburdened with school routine. The insertion of vectors in mathematics teaching of this work is related to the solution of systems of linear equation 2x2 and 3x3. By introducing a new approach to the topic systems of linear equation, teachers can produce interesting geometric results and they can introduce appropriately to mathematical entities as determinants, sometimes omitted in learnings and simply presented in the classroom without context. GeoGebra software covering subjects ranging from algebra to geometry is presented as an option for large-scale use in public school, for its versatility in Portuguese and gratuity. In addition, it assists the teacher in the geometric construction of the solutions, the development of more innovative and challenging lessons, making the students more actives in learning process, encouraging interaction among students and giving them more autonomy.