Concepções de professores da educação básica sobre variabilidade estatística

• Ano de defesa: 2011
• Autor(a) principal: Novaes, Diva Valério
• Orientador(a): Coutinho, Cileda de Queiroz e Silva
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Pontifícia Universidade Católica de São Paulo
• Programa de Pós-Graduação: Programa de Estudos Pós-Graduados em Educação Matemática
• Departamento: Faculdade de Ciências Exatas e Tecnologia
• País: BR
• Palavras-chave em Português: Variabilidade; Pensamento estatístico; Concepções; Ecossistema didático
• Palavras-chave em Inglês: Variability; Statistical thinking; Conceptions; Teaching-learning ecosystem
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://tede2.pucsp.br/handle/handle/10878

This study sought to investigate conceptions about objects of Descriptive Statistics related to teaching or to specific content that 1st- to 12th-grade Brazilian teachers employ when organizing and managing teaching sequences focused on this theme. To this end, the procedures adopted in the classroom by teachers attending a continued education program were observed. The investigation was carried out in response to the finding, by previous studies conducted in this field, of barriers to the learning of notions of Statistics. Selection of the objects of study was based on identification of their mutual relationships in analogy to those established within a stable ecosystem herein assumed in analogy to the biological notion of the food chain. The research was part of the project entitled Teaching and Learning Process Involving Probabilistic and Statistical Thinking (PEA-ESTAT), funded by the Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP). Based on the case study method, the investigation sought to address the following questions: What ideas can be identified when 1st- to 12th-grade teachers apply their statistical knowledge of variation to solve problems and prepare their lessons on this topic? How can this knowledge be modeled with the aid of the Theory of Conceptions so as to establish parameters that contribute to overcoming or minimizing barriers and difficulties associated to the learning of statistical content, as identified in studies in this area? The ck¢ model was adopted to describe and explain the conceptions expressed by the teachers participating in this study. This model provided a theoretical framework that allowed plausible explanations to be inferred for cognitive procedures that generate many of the problems identified in other studies, with regard to eliciting the knowledge required to conduct an exploratory data analysis that leads to correct comprehension of the concept of variability. Sixteen consistently interconnected teaching- and statistics-related conceptions were identified, which provided answers to the questions posed in this investigation