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- A prática de uma professora de Matemática ao conduzir uma discussão coletiva sobre sequênciasPublication . Rodrigues, Cátia; Menezes, Luís; Da Ponte, João PedroMathematics learning with understanding can be improved by engaging students in whole-class discussions as they are called upon to present, justify and argue their strategies and the strategies of their colleagues and, later, to systematize the main ideas emerging from this discussion. This qualitative and interpretive study, is a case study of a grade 7 mathematics teacher, and aims to understand this practice in conducting the whole-class discussions, in connection with her didactic knowledge, when exploring a task involving sequences. The results show that the teacher, based on her didactic knowledge and preparation of the lesson, organizes the whole-class discussion in three moments (presentation; comparison, evaluation and filtering; and conclusion) in which she undertakes various teaching actions.
- Práticas discursivas de professores de Matemática na condução de discussões coletivasPublication . Rodrigues, Cátia; Da Ponte, João Pedro; Menezes, LuísMathematical discussions are a tool within the reach of the teacher to promote communication in the mathematics class, as students are asked to present their resolution strategies, to compare them with those of their peers, to justify and argue about the mobilized reasoning in these solutions of a task proposed by the teacher. When class discourse focuses on algebraic ideas, symbolization and generalization are enhanced, as students are encouraged to use increasingly formal language and broaden their thinking beyond the considered cases. This qualitative and interpretative study seeks to understand how three teachers of mathematics in the 3rd cycle of basic education manage and promote discourse during a collective discussion with mathematical tasks with a view to teaching Algebra. The results show that teachers, supported by the teaching actions of eliciting, supporting, informing, and challenging, direct the discourse through a cyclical process of requesting and discussing many ideas and of filtering, seeking to lead students to relate, generalize and justify algebraic ideas.