A importância da história da matemática, e o legado de Al- Khwarizmi: a resolução de equações do segundo grau pelo método geométrico corte e cole

Abstract

The present work has as objective to verify how the students undestand the history of the mathematics in the resolution of the equation of the second degree and developing methods different from the one presented to them in the classroom, using artifices mediated by this history. As this can contribute to the understanding of the resolution of the samen, as studentes us metods of solving mechanized equations, without mastery of the explanatiion of their actions. Therefore, the teacher must mediate and explain só that a trivial learning does not occur, but to detail what they are learning. For this, we used the didactic sequence as a purpose to make a rediscovery of the resolution formula of the equation of the sencond degree through the geometric method denominated cut and paste. In order to develop the reserarch, diagnostic activity, didactic sequence and post-sequence were carried out in a group of the first year of high school of the Federal Institute of Education, Sciences and Technology of Piauí – Campus São Raimundo Nonato, where these students solved questions that led to reflextion and Autonomy of each participant. Finally, we conclude that mathematics must be taught in a way that enables the students to reason, to investigate and to have an understanding of what he is doing.