Matemática em rede nacional - Mestrado Profissional
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Programa de Pós-Graduação em Matemática em Rede Nacional
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Navegando Matemática em rede nacional - Mestrado Profissional por Assunto "Analytic geometry"
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- ItemGeometria analítica no ensino médio: uma proposta com tratamento vetorial(Universidade Federal do Espírito Santo, 2013-04-09) Silva, Robson Vieira da; Valentim, Fábio Júlio da Silva; Simas, Fábio Luiz Borges; Ccoyllo, Rosa Elvira QuispeBased on the course program of Analytic Geometry present in the basic curriculum of the State of Esp´irito Santo public schools, we propose a vectorial approach for the subject. That’s because, with base in analyses of textbooks used in the High School, it was possible verifying the absence of vectors in the mentioned discipline, although the method applied to the Analytic Geometry facilitates your teaching and learning. Under that prism, we produced a material that brings as main differential the introduction of vectors and your applicability, demonstrated also, in exercises. In the same way, we mentioned the straight line equation and we brought some considerations concerning to vectors in the discipline of Space Analytic Geometry. In that context, it was possible to simplify the understanding of fundamental concepts and to make possible a larger transition between the Algebra and the Geometry.
- ItemResgate do Teorema de Dandelin no estudo de cônicas com o geogebra(Universidade Federal do Espírito Santo, 2014-04-25) Monteiro, Rubens Marinho; Gonçalves Junior, Etereldes; Conceição Junior, Duilio Tadeu da; Araujo, Alancardek PereiraThe purpose of this work is to make the rescue of Dandelin‘s theorem in the study of conical. The idea is to present how Dandelin used spheres and cones to show that the curves that arise when cutting a conical surface by a plane are: ellipse, hyperbole, or parable. We will define the general equation of a conic by its eccentricity, as well as the relationship between the geometric and algebraic concept. We will do an analysis of how the book “Novo Olhar - Matem´atica” of Joamir Souza, work adopted by the state Department of Education of Esp´irito Santo for the students of the 3rd level of high school, is the approach of the conical theme. It is also reported in this work a collection of experiences and activities elaborated in the software Geogebra and Winplot that were discussed in the disciplines of MA35, MA36 and MA23 whose character is to contextualize and give applications to conical.
- ItemTópicos de geometria plana, analítica e esférica através de uma sequência de atividades(Universidade Federal do Espírito Santo, 2015-05-26) Ribeiro, Rafael Silva; Valentim, Fábio Júlio da Silva; Carmo, Fabiano Petronetto do; Zevallos, Juan Elmer VillanuevaThis work suggests a sequence of complementares activities to geometry. The plan euclidian geometry activities to make use of ruler, compass, transferor, cellphone and also the dynamic geometry software Geogebra. Additionally, to analytic geometry, we suggest activities of some de?nitions and properties of cartesian plan and vectors. In espheric geometry, the activities are related to the distance between two points and areas in the surface of our planet. The principal object is trazer both the teachers and students a qualitative increase in the learning of geometry.