Equações diofantinas : um projeto para a sala de aula e o uso do Geogebra

• Ano de defesa: 2014
• Autor(a) principal: Alexandre Hungaro Vansan
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Brasil; Departamento de Matemática; Programa de Pós-Graduação em Matemática em Rede Nacional (PROFMAT); UEM; Maringá, PR; Centro de Ciências Exatas
• Palavras-chave em Português: Equações diofantinas; Teoria dos números; Múltiplos divisores; Ternas pitagóricas; Ciências Exatas e da Terra; Matemática
• Link de acesso: http://repositorio.uem.br:8080/jspui/handle/1/5537

The study of Theory of Numbers here in this dissertation aims to study some properties of integer multiples or divisors , emphasizing issues related to divisibility. Which will be of great importance for studies on the Diophantine equations, which in turn provide applications for use GEOGEBRA software. The Diophantine equations are algebraic equations that show the solution set of integers, which in this paper we will discuss the Linear Diophantine Equations with two unknowns of the form ax + by = c, with a, b, c whole numbers, and Diophantine Equations of Second Order in the manner x² + ² = z², known to Pythagorean Tender. In which they are applied as an alternative way for students to find solutions to problems he faced during his school life. This work is intended to further training of teachers who are teaching in the elementary and high school, where he can find suggestions for activities that you can apply in the classroom, or even include in their lesson plan Diophantine equations, since here he will find a suggestion of teaching work plan to include in their classes