A noção de ecologia do objeto quadrilátero: um estudo a partir das três dimensões do problema didático

Detalhes bibliográficos
Ano de defesa: 2024
Autor(a) principal: Santana, William Joaquim Santos de
Orientador(a): Souza, Denize da Silva
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Pós-Graduação em Ensino de Ciências e Matemática
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Palavras-chave em Inglês:
Link de acesso: https://ri.ufs.br/jspui/handle/riufs/19781
Resumo: In this study, the focus was directed towards the quadrilateral object, exploring it through the lens of the ecology of the didactic, a concept integral to one of the main theories developed by Yves Chevallard, the Anthropological Theory of the Didactic (TAD). Therefore, the research question was defined as: How is the quadrilateral object addressed in national curricular documents and mathematics textbooks for the final years of Elementary Education, considering the three fundamental dimensions of the didactic problem supported by TAD? To answer this, the research was outlined as qualitative in nature and with a bibliographic approach based on the following objectives: Characterize research that addresses the study of quadrilaterals in official documents and mathematics textbooks for the final years of Elementary Education, preferably from the Ecological perspective of the Didactic; Investigate how the quadrilateral object is present in official documents (PCN, BNCC, PNLD); Analyze the praxeologies present in the quadrilateral object of two collections of mathematics textbooks for the final years of Elementary Education, among those that had the highest frequency of PNLD approval in the period from 2002 to 2020. Thus, the three fundamental dimensions of the didactic problem enunciated by Gascón are presented. For the epistemological dimension, we used the study conducted by Cuellar, appropriating his reference epistemological model (MER), which enables a broad historical study of the object. For the economic dimension, a brief overview of geometry teaching in Brazil was outlined, examining how the quadrilateral object is addressed in curricular documents, giving rise to a dominant epistemological model (MED). In the ecological dimension, the conditions and constraints found in the teaching of the quadrilateral object in the analyzed textbooks are discussed in order to elucidate a reference praxeological model (MPR) for this object. This model can be employed in future research to analyze teaching practices in relation to the quadrilateral object.