Vetores geométricos: contribuições para construções dos conteúdos matemáticos no ensino médio

Abstract

The present research deals with the mathematical object: geometric vector, or simply vector, as a tool to contribute to the construction of the mathematical content of the high school. The contents of vectors is easy to understand and extremely important to helper for solving mathematical problems in plane geometry, analytical geometry, physics, etc. We seek to enable the use of vectors in math class in high school, improving the visualization of certain mathematical content. We will try to emphasize the use of vectors as being, at the same time, alternative and complement to the synthetic methods and Cartesian, facilitating some results as: three-point alignment condition, straight equation, parallelogram area, among other applications that the vectors may assist. We contribute as well, with a proposal for introduction of this content in high school from the first grade with the purpose of being built as well, a job that could guide professionals in the area of mathematics to work this mathematical object using it in the classroom, which will facilitate the student comprehension of the problems and math content.