Uma proposta didática para o estudo da função quadrática no ensino médio por meio da modelagem matemática de um experimento

• Ano de defesa: 2023
• Autor(a) principal: Almeida, Cleber Aparecido de
• Orientador(a): Seixas, Wladimir
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de São Carlos; Câmpus São Carlos
• Programa de Pós-Graduação: Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE
• Palavras-chave em Português: Função quadrática; Modelagem matemática; Experimentação na Matemática; Ensino da Matemática com o uso de tecnologia
• Palavras-chave em Inglês: Quadratic function; Mathematical modeling; Experiments in Mathematics; Teaching Mathematics with the use of technology
• Área do conhecimento CNPq: CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufscar.br/handle/20.500.14289/17459

This dissertation presents a pedagogical proposal based on the Mathematical Modeling method for the study of the quadratic function. Based on an experiment with the transfer of liquids by gravity between two prism-shaped reservoirs, the student will use manual and electronic resources to model the relationship between the heights of the liquids within the two prisms. According to the guidelines contained in the official documents: National Common Curricular Base, Paulista Curriculum and Curricular Reference of the SESI-SP Teaching System that guide the teaching work through the meeting of the necessary skills and competences for the integral formation of the student, we analyzed the presentation and the treatment of quadratic function teaching in high school, including observing the presentation in the Student's Notebook, of the SESI textbook and also, by sampling, a book from the National Textbook Program. Thus, this didactic proposal uses the method of Mathematical Modeling through an experiment, a simulator in GeoGebra, spreadsheet and activity sheets. The implementation of the pedagogical proposal was carried out with a group of 1st year of high school followed by the analysis of the results obtained.