Resolução de problemas envolvendo equações polinomiais de segundo grau : possibilidades e dificuldades.

Abstract

This work addresses the difficulties faced by 9th-grade students in solving problems involving second-degree polynomial equations. The research was conducted at Luiz José Gonçalo Municipal School, aiming to investigate and analyze the students' difficulties in this process. The research was classified as qualitative, explanatory, and participatory. Initially, a diagnostic assessment was applied to assess the students' level of knowledge regarding second-degree polynomial equations. The results revealed that all students in the class had no knowledge of which formula to use to solve these problems. Based on this diagnosis, a didactic sequence was developed to facilitate the students' learning and introduce new approaches to the teachinglearning process. After implementing the didactic sequence, a new assessment was conducted to compare the results with the initial diagnostic assessment. The final assessment involved 30 students, and the results showed that, after studying second-degree polynomial equations, 23 students acquired knowledge about this type of equation, while 7 still had not fully understood the topic. These findings highlight the importance of pedagogical approaches that aim to overcome the difficulties encountered by students in solving second-degree polynomial equations. The use of didactic sequences and differentiated strategies can contribute to a more meaningful and effective learning experience in this mathematical content.