Integração de funções racionais por frações parciais: uma possibilidade de ensino por meio da metodologia ativa aprendizagem baseada em equipes

Abstract

Students' learning about concepts in a course involving Integral Calculus presents worrisome difficulty rates, as there is a significant number of failures and withdrawals in disciplines involving this theme. To investigate the practice and development of students from the Mathematics Teaching program at IFRN/Campus Ceará-Mirim in Integral Calculus procedures, we proposed studying the technique of integrating rational functions by partial fractions and analyzing the students' proficiency with this Calculus tool. Accordingly, we suggest for this research, as a didactic strategy for teaching and learning this integration technique, the active methodology of Team-Based Learning, which was applied in two instances to mathematics students who were attending or had completed the Calculus B course (4th period) of the night shift at IFRN Ceará-Mirim. With the application of this methodology, we conducted a test for the students divided into study groups and, after that, administered two investigative questionnaires, one for the students and another for the mathematics teachers teaching in the Bachelor of Mathematics program at the Campus. These implementations yielded results that were discussed throughout the research. It was noted that the students participated more actively in their learning when subjected to a methodology that encouraged them to dialogue and compare ideas about the studied subject while under the teacher's guidance in the classroom, with feedback on the errors made in the question-solving processes.