Ensino-aprendizagem de funções trigonométricas através do software geogebra aliado à modelagem matemática

Abstract

This qualitative research, outlined by a case study with participatory research, analyzed the contributions using the Geogebra software combined with Mathematical Modelling in the teaching-learning trigonometric sine and cosine functions in the light of Meaningful Learning. The study was done with 18 students of the second year of high school in a public school in the municipality of Marechal Deodoro, Alagoas. The investigation was conducted by a didactic sequence of education, product of this work, which was worked the software and applied the mathematical modeling of periodic phenomena using the same. The survey results showed that use of the Geogebra software optimized the teaching and learning of trigonometric functions; We could use mathematical modeling as a teaching methodology for learning the sine and cosine functions; the students understand the behavior of each of the parameters a, b, c and d of the functions f (x)=a+bsin(cx + d) and g(x)=a+bcos(cx+d). The study's main contribution, the connection made by students between the content of trigonometric functions and daily life through its application in predicting periodic phenomena (high tide and lunar phases), also understanding the importance of this issue to other areas of knowledge, such as physics, astronomy, biology, and medicine, thereby obtaining a meaningful learning.