Uma proposta didática do uso de um método iterativo para resolução de equações polinomiais no ensino médio

Abstract

In this dissertation is presented a proposal of activity for solving polynomial equations with degree greater than two using an iterative method. We propose that this activity be carried out during the teaching of the contents of polynomial functions in secondary education. In this sense, we seek to present a mathematical foundation to justify the use of iterative methods. We started this work with some concepts about polynomials and solving algebraic equations, especially the polynomial equations of the first, second and third degree and then some iterative methods to determine zeros of algebraic equations, namely the Method of Bisection, that of Regula Falsi and that of Secant. Our purpose is to awaken the research process using the method of solving problems in high school, allied to the use of computational resources either by mathematical software or mobile applications in the visualization of some results in order to contribute to the logical mathematical development and the critical thinking of the student. Finally, we report a practical experience of using this didactic sequence.