1. Reflexões de professores sobre divisão de fração por fração: compreensões e filosofias.
- Author
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Schaeffer Hoffman, Bernadete Verônica, Magalhães Brum, Jaqueline, and Pereira dos Santos-Wagner, Vânia Maria
- Subjects
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MATHEMATICS education , *PHILOSOPHY of education , *ELEMENTARY schools , *PHILOSOPHY education , *TEACHERS , *PHILOSOPHY , *METHODOLOGY - Abstract
In this text we present the results of a collaborative qualitative investigation, carried out in 2020 and 2021, with a group of teachers on the knowledge needed by the teacher who will teach fraction-by-fraction division in elementary school. The methodology used was the reflection on the practice of six teachers regarding their understanding and knowledge about the subject in weekly meetings of the group. It brings a dialogue between teaching and learning as it seeks to understand the concept and its didactic transposition, based on the group's reflections and what think authors of mathematics education and in the light of philosophy. Alternative algorithms for accessing the formal concept and its relevance are discussed when looking for an instrumental and relational understanding of a task. One of the authors had previously used such task on an assessment instrument with pedagogy students in 2021. The study suggests that it is possible to teach this topic with understanding, as long as the teacher has clear objectives, conceptual and pedagogical knowledge for teaching fractions and operations with fractions. Furthermore, it recommends that the teacher consider the limits of contextualization, but with the awareness that mathematics is not produced in a vacuum. Finally, it shows how a group of six teachers reflected on their own knowledge, when they highlighted strengths and weaknesses in the teaching of such a topic. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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