Equações algébricas no ensino médio: história, resolução numérica e tecnologia educacional

• Ano de defesa: 2014
• Autor(a) principal: Abbeg, Thiago Phelippe
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Tecnológica Federal do Paraná; Curitiba; Mestrado Profissional em Matemática em Rede Nacional
• Palavras-chave em Português: Equações; Álgebra; Matemática - Estudo e ensino (Ensino médio); Análise numérica; Professores de matemática - Formação; Prática de ensino; Tecnologia educacional; Software - Matemática; Matemática; Equations; Algebra; Mathematics - Study and teaching (High school); Numerical analysis; Mathematics teachers - Training of; Student teaching; Educational technology; Computer software - Mathematics; Mathematics
• Link de acesso: http://repositorio.utfpr.edu.br/jspui/handle/1/1072

The Algebraic Equations subject are studied in the High School. Basically, the students learn that, if the equation has rational solution then this will belong to a set that can be established. However, if the equation has some irrational root, no method is approached. Furthermore, because the examples are all practiced with equation with rational roots, many students complete the basic cycle believing that we can solve any equation using the algorithm of Briot-Ruffini. In order to complete this gap left in the student’s formation, this work proposes a broader approach to the study of Algebraic Equations, which combines three ingredients: historical overview of the issue, implementing a simple and effective numerical method (of the Bisection) and use of Educational Technology provided by GeoGebra.