Trigonometry and trigonometric functions with digital technologies: A research-formation in prospective mathematics teachers
Trigonometry; Sine; Cosine; Tangent; Trigonometric Functions.
This research aims to contribute to improvements in the teaching and learning of trigonometry with digital technologies, particularly through activities using software. A preliminary mapping carried out in the Journal of the Instituto GeoGebra Internacional de São Paulo is presented. Nine studies relating to the topics of trigonometry and trigonometric functions were captured using GeoGebra. In addition, content belonging to the Mathematics Multimedia and Digital Contents in Mathematics for High School portals were catalogued. Two implementations are also analyzed – one in 2022 and the other in 2023 – with UFRRJ prospective mathematics teachers through a sequence of activities prepared from the literature review. The data was produced through written records, screen captures, photos, researcher diaries and WhatsApp groups. It is observed that both groups of undergraduates have difficulties with trigonometric functions and, even more so, with complex numbers. Regarding the literature review, a difference stands out in the number of works related to trigonometry and trigonometric functions, 2 and 6 respectively, and 1 referring to the calculation of area. As for technology, all works comment on the potential of using technology in the classroom. In contrast, the cataloged materials had a historical approach. The research highlights that the use of digital technologies in trigonometry and class tasks promotes interaction (subject-subject and subject-device) and reflection on what is represented algebraically in their notes and discoveries.