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Enhancing students’ generalizations: a case of abductive reasoning

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Resumo:The aim of this paper is to understand how a path of teacher’s actions leads to students’ generalization. Generalization, as a main process of mathematical reasoning, may be inductive, abductive, or deductive. In this paper, we focus on an abductive generalization made by a student. The study is carried out in the third cycle of design of a design-based research involving lessons about linear equations in a grade 7 class. Data is gathered by classroom observations, video and audio recorded, and by notes made in a researcher’s logbook. Data analysis focus on students’ generalizations and on teacher’s actions during whole-class mathematical discussions. The results show a path of teacher’s actions, with a central challenging action, that allowed an extending abductive generalization, and also a subsequent deductive generalization.
Autores principais:Mata-Pereira, Joana
Outros Autores:Ponte, João Pedro da
Assunto:Generalization Abductive reasoning Reasoning Teacher actions
Ano:2019
País:Portugal
Tipo de documento:documento de conferência
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa

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