O Ensino de Funções Trigonométricas utilizando o Geogebra

Abstract

A clear paradigm exists in Mathematics education, both in Brazil and other countries, particularly concerning the teaching of basic trigonometric functions (sine, cosine, and tangent). The difficulty is compounded by students' need for an abstract perspective, often leading to disengagement and learning challenges. In this context, technological advancements provide educators with a valuable tool: GeoGebra, which integrates algebra, geometry, and calculus to help address this issue. The aim of this study is to investigate the use of GeoGebra as a teaching resource for these functions, making learning more dynamic and meaningful. The research highlights the relevance of trigonometric functions in fields such as physics, engineering, and astronomy, which are essential for understanding natural and technological phenomena. However, their abstract nature makes assimilation difficult when teaching is restricted to traditional methods based on formulas and repetition. GeoGebra emerges as an effective solution, enabling interactive graph visualization and parameter manipulation, thereby facilitating comprehension of their properties. The study proposes a didactic sequence involving the construction of the unit circle, graphical analysis, and practical applications, such as pendulum motion and Ferris wheel mechanics. These activities aim to reinforce learning in a contextualized manner, demonstrating the importance of innovative strategies to overcome the limitations of traditional teaching. The results underscore GeoGebra's potential as an ally in mathematics education, encouraging further research on technology in teaching other topics. The interactive approach not only motivates students but also fosters a deeper and more applicable understanding of trigonometry