Conhecimento Matemático para o Ensino de equações na Licenciatura em Matemática da UFPel

Abstract

This research addresses the Mathematical Knowledge for Teaching polynomial equations pre sent in face-to-face Mathematics Degree courses at the Universidade Federal de Pelotas (UFPel) in accordance with the theory of Mathematical Knowledge for Teaching by Ball, Thames and Phelps (2008). The objective of this research was identify how Mathematical Knowledge for Teaching polynomial equations is covered in face-to-face Mathematics Degree courses at UF Pel. To achieve this objective, the following were carried out: analysis of the Base Nacional Comum Curricular (BNCC) and Projetos Pedagógicos de Curso (PPC) of these courses and the application of questionnaires to teachers who teach subjects related to this content. Bardin’s (2020) Content Analysis methodology was chosen to process the data, building a categorization into Pedagogical Content Knowledge and Subject Matter Knowledge, emerging from the the ory of Ball, Thames and Phelps (2008). Analyzing the BNCC, it was identified that the Skills (EF06MA14), (EF07MA13), (EF07MA18), (EF08MA06), (EF08MA09) and (EF09MA09) are directly related to polynomial equations. In the PPC, the subject characterizations that include work with polynomial equations and their teaching are the curricular components Estruturas Lógico-Dedutivas (ELD), Aritmética, Álgebra A, Álgebra B and Laboratório de Educação Ma temática III (LEM III). Observing in each BNCC Skill what is related to the categories of Pe dagogical Content Knowledge and Subject Matter Knowledge, it was identified that the PPC disciplines that are in line with these skills were: LEM III, ELD and Aritmética with Skills (EF06MA14 ) and (EF07MA13); and LEM III, ELD, Aritmética, Álgebra A and Álgebra B with the Skills (EF07MA18), (EF08MA06), (EF08MA09) and (EF09MA09). Analyzing the re lationship between the documents, it was observed that Mathematical Knowledge for Teaching polynomial equations is present in the PPC subject characterizations that underlie the work with the observed Skills. The selection of teachers for the questionnaires was made among the tea ching staff who taught the observed PPC subjects between 2020 and 2023, totaling 11 respon dents - four from the Departamento de Educação Matemática (DEMAT) and seven from the Departamento de Matemática e Estatística (DME). Analyzing the questionnaires, it was possi ble to conclude that the respondents approach Mathematical Knowledge for Teaching equations integrally in their teaching practice. By crossing the analyzes of the BNCC, the PPC and the questionnaires, it was possible to conclude that, regarding polynomial equations, Subject Matter Knowledge and Pedagogical Content Knowledge are covered in full in the Degree in Mathematics at UFPel.