Conceitos de área e de perímetro: um estudo metanalítico

• Autor(a) principal: Senzaki, Noemia Naomi
• Data de Publicação: 2019
• Tipo de documento: Tese
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da PUC_SP
• Texto Completo: https://tede2.pucsp.br/handle/handle/22514
• topic: Área; Perímetro (Geometria); Metanálise; Matemática - Estudo e ensino; Area; Perimeters (Geometry); Meta-analysis; Mathematics - Study and teaching; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA

In this study, we conducted a meta-analysis based on the Brazilian academic studies on the concepts of area and perimeter. We seek to answer the following question of research: what convergences and/or divergences reveal Brazilian academic researchers developed between 1996 and 2017, about the teaching and learning processes of mathematical objects area and perimeter? The objective of our investigation is to explain the different aspects of the selected researches, with a view to analyzing the issues investigated, as well as the convergences and divergences in relation to the difficulties related to teaching and learning of Area and perimeter concepts of planar figures. To achieve this goal, we focus on the following goals: to map the different researches highlighting their research questions, their objectives, their theoretical foundations and methodological aspects; To highlight the possible difficulties that are some of the gargals for the teaching and learning of the concepts of area and perimeter of flat figures; Evidence of possible convergences and/or divergences in relation to the problems related to the teaching and learning processes. In order to meet the specific objectives of our research, we conducted a meta-analysis of the researches developed around the teaching and learning of concepts of area and perimeter of flat figures carried out in Brazil from 1996 to 2017. In general terms, we support with Fiorentini and Lorenzato who characterize the meta-analysis with a modality of research that aims to develop a new analysis of the set of studies already carried out, around a theme or research problem, but which carries a Reduced number of researches, in order to extract, by contrast other results, other syntheses, in relation to the previously obtained analyses. The meta-analysis was performed by supporting 19 (nineteen) academic publications, including three doctoral theses and sixteen academic dissertations, which addressed the area and perimeter themes. The research results indicate critical points identified by the research analyzed: the use of the terms area as a measure of surface and perimeter as the measurement of length, is very common; As well as the treatment of other content that is related to area and perimeter such as: potentiation, numerical calculus, Algebraic calculus and the Pythagorean theorem, (numerical aspect); The greatness area predominates in the activities on fractions of continuous quantity; In addition, geometric figures such as: rectangles, circles and regular polygons in the geometric representation of fractions are frequent; The non-dissociation of area and perimeter is a source of difficulties in the appropriation of these two mathematical objects. Research focused on teacher education indicates that the work performed allowed interactions between subjects and researchers who generated approximations and perceptions about the teaching and learning of the area concept