A Didactic Sequence for Teaching Trigonometric Equations
Mathematics Education. Teaching Mathematics. Trigonometric Equations. Manipulable Materials. Following teaching
I present the research developed, through the Postgraduate Program in Mathematics Teaching – PPGEM, at the State University of Pará, regarding teaching and learning about Fundamental Trigonometric Equations. The guiding research question was: How will a Didactic Sequence, developed according to the structuring model – UARC, with the help of concrete material and software, contribute to improvements in the teaching and learning process of Trigonometric Equations? To answer this question, the general objective was defined to propose the development of a Didactic Sequence to enhance the teaching and learning of Fundamental Trigonometric Equations. The didactic sequence is structured according to the construct of Articulated Units of Conceptual Reconstruction (UARC), according to Cabral (2017). Dissertations and textbooks on the topic were analyzed, in addition to a questionnaire being sent via Google Forms to high school mathematics teachers and graduating students with questions relevant to the research, the data collected corroborated the methodological objectives outlined. The didactic sequence was applied to an experimental class and in the process control class the content was taught in a traditional way. After completing the classes and dynamics, a learning verification test was given to both classes. The analysis of the results is modeled according to the theories Microgenetic Analysis by Góes (2000) and Discourse Analysis by Mortimer and Scoot (2002). The transcribed evidence of learning, together with the average scores from the learning verification test of the experimental class, indicated that the use of the didactic sequence for teaching fundamental trigonometric equations with the aid of manipulative materials proved to be an efficient methodological alternative for the education.