Ensino de função exponencial e progressão geométrica através do jogo Torre de Hanói

Abstract

This article aims to stimulate the study of exponential function and geometric progression, contributing to significant learning in the construction of this knowledge, since mathematics teaching lacks practical situations that associate concrete materials, theory and practice, bringing the student ever closer of the object of knowledge, for this, students from the third year of integrated high school at the Federal Institute of Education, Science and Technology, Campus Cocal - PI were selected. Initially, the history of the game was presented, followed by an explanation of the theory involving function exponential and Geometric Progression - GP The students were motivated to think of a way to associate the game with the theory presented, thinking about an established relationship between the minimum number of moves needed to solve the game and the number of discs. For this, a table was created by the students, which related these two variables, and a sequence was organized, where the students were able to relate the sequence to the study of geometric progression, in this sequence the students applied the formula for the sum of the terms of a GP and visualized the law of formation of an exponential function, they also constructed the graph of the exponential function. At the end of the classes, a qualitative questionnaire was administered to the students, containing five subjective questions, which assessed the level of interest and assimilation of mathematical knowledge