Modelagem matemática da voz, trigonometria e robótica: atividades interativas

Abstract

The purpose of was to develop and perform interactive activities in the classroom by applying digital information and communications technology, mathematical modeling of the sound of a vowel and robotics to the practical and playful teaching of trigonometry. To meet its aim, the research adopted a twofold methodology, combining both quantitative and qualitative approaches: the former was applied to the development of the activity resources, and the latter to the record and assessment of the resources performance in the classroom. The activities engaged high school students from a public school in Uberlândia (MG) and covered a review class on trigonometric functions. The interactive feature of the activities resulted from the fact that students interacted with the resources. Firstly, using mathematical modeling, the voice of the students formed a database to show that the sound of a vowel could be represented as a sum of sines. The students, then interacted with a robotic device using smartphone, in order to solve problems which demanded trigonometric functions. The results showed that such activities enhanced student’s motivation and engagement. Moreover, an instructional manual related to the research was produced, which describes the implementation of the resources and the activities teaching script, so other teachers may replicate them and create their own teaching material.