O uso do círculo trigonométrico como ferramenta didática no ensino da trigonometria

Abstract

Trigonometry is a branch of mathematics that studies the relationships between angles and sides in triangles. It’sfundamental to areas of knowledge. Its complexity lies due to formulas, abstract concepts and the need for spatial visualization, making it challenging for many students. The general objective of this work was to analyze a didactic proposal for teaching Trigonometry, using the trigonometric cycle. The study was carried out with 40 2nd year students from the Frederico Lundgren State School of Elementary and Secondary Education, located in the city of Rio Tinto/PB. The methodology used in developing the research was characterized, in relation to the objectives, as exploratory. Regarding the technical procedures used, it was classified as case study. Regarding the approach method, it was defined as qualitative research. The data collection instruments were the activities carried out in the classroom, during the months of September and October 2023, using the whiteboard and the help of the dynamic geometry software GeoGebra to visualize situations involving the process. construction of the trigonometric cycle. Still as data collection instruments, participant observation and the application of a diagnostic questionnaire were used, as a way of analyzing the teaching and learning of the class. The questionnaire had 14 questions, closed and open, involving concepts and properties of Trigonometry. At the end of the research, the results indicate that the use of the trigonometric cycle as a teaching tool contributed satisfactorily to the teaching and learning process, allowing students to actively participate in the construction of this cycle and, thus, reducing doubts that arise throughout of the learning process. Therefore, this pedagogical approach proved to be effective in promoting the understanding of Trigonometry, highlighting the importance of innovative strategies in teaching mathematics to make complex concepts more accessible and engaging for students.