http://repositorio.ufrr.br:8080/jspui/handle/prefix/331 Wed, 18 Mar 2026 08:55:59 GMT 2026-03-18T08:55:59Z http://repositorio.ufrr.br:8080/jspui/handle/prefix/731 Título: Formação do conceito de função a partir da lógica matemática fundamentada na teoria de formação por etapas das ações mentais de Galperin nos estudantes do 1º Ano do Ensino Médio Autor(es): Sindeaux, Eduardo Ribeiro Primeiro Orientador: Castañeda, Alberto Martin Martinez Abstract: This work contributes to an improvement in the Mathematics teaching and learning using the mathematical logic as a forerunner tool in the development of the mathematical reasoning through the Theory of Formation by Phases of Galperin’s Mental Actions in the formulation of the concept of function through essential properties presented during the text and the activity of the problem situation (ASP), attending to the prerogatives of the PCN’s and National Council of Education. It works with the contents of the mathematical logic, sets and functions in a formal language way, but aiming the students of the first grade in the high school. The proposal of an oriented guiding base of the type 3 action that is widespread, complete and elaborated independently, lesson and teaching plan according to a didactic to the teaching of the concept of function solidify the assimilation of knowledge. So this work helps in the comprehension of the concept of function contributing to the intellectual and cognitive development of the student. Editor: Universidade Federal de Roraima Tipo: Dissertação Thu, 01 Jan 2015 00:00:00 GMT http://repositorio.ufrr.br:8080/jspui/handle/prefix/731 2015-01-01T00:00:00Z http://repositorio.ufrr.br:8080/jspui/handle/prefix/730 Título: O quinto postulado de Euclides. História e desdobramentos nos fundamentos da matemática Autor(es): Pinto, Clarissa Rosa Primeiro Orientador: Castañeda, Alberto Martin Martinez Abstract: In this dissertation, we present the results of a bibliographic research about the so-called Problem of Parallels. Euclid’s fifth postulate, since its appearance in his monumental opus The Elements, raised suspicions and controversies and led to numerous researches that spread abroad since its publication until the nineteenth century, when appear the non-Euclidean Geometries and it was perfectly clarified the problem’s essence. This story, emotional and highly illustrative of the nature of the axiomatic method, had important consequences in Mathematical Foundations, especially, consolidating the principles of the Formalist School as paradigms of the construction of Mathematics. Editor: Universidade Federal de Roraima Tipo: Dissertação Thu, 01 Jan 2015 00:00:00 GMT http://repositorio.ufrr.br:8080/jspui/handle/prefix/730 2015-01-01T00:00:00Z http://repositorio.ufrr.br:8080/jspui/handle/prefix/729 Título: A geometria analítica do Ensino Médio no contexto do espaço euclidiano Rn Autor(es): Lamounier, Wender Ferreira Primeiro Orientador: Oliveira, Joselito de Abstract: In this work a wider approach of the topics studied in the Analytical Geometry of Basic Education will be presented. For teachers and high school students, aims to over- come our limited visualization of geometric shapes and geometric relationships seen in the Analytic Geometry Basic, studying the light of an n-dimensional view. Is used as the theoretical support the Vector Algebra, which will enable us to understand how it works in the Euclidean space Rn elements of analytic geometry. Initially some elements of Vec- tor Algebra that will guide the study in Euclidean space. It presents the conditions for collinearity and coplanarity of points. As well as calculating the distance between points, between point and the straight, between straights, between point and hyperplane and the relative positions between straights, between straight and hyperplane and between hyperplane and hypersphere. Editor: Universidade Federal de Roraima Tipo: Dissertação Wed, 01 Jan 2014 00:00:00 GMT http://repositorio.ufrr.br:8080/jspui/handle/prefix/729 2014-01-01T00:00:00Z http://repositorio.ufrr.br:8080/jspui/handle/prefix/728 Título: Elementos de trigonometria triangular esférica Autor(es): Santos, Rodson da Silva Primeiro Orientador: Oliveira, Joselito de Abstract: The main objective of this work was to study in triangles constructed on a spherical surface, versions of known results of the plane euclidean geometry and trigonometry in plans triangles. Initially it presents the fundamental concepts of spherical geometry and some elements of spherical triangular trigonometry. For this, begins with a brief review of some of these results and also with some definitions of plane geometry required for the construction of spherical geometry results. That done, are build, in a spherical triangle, versions for the law of sines, law of cosines and other results of the plane triangular trigonometry. Was also seen is the theorem of Girard, where can study the area of a triangle built on the surface of a sphere of radius R and the sum of its internal angles, which is not constant unlike what occurs in triangles plans built on disc of radius r. The Pythagorean theorem is not true in this environment and a counter-example will be presented. Throughout the text will be presented some examples with the use of trigonometric relations, as well as some elementary concepts of geographical coordinates and practical applications of spherical trigonometry in aviation and geography. Finally it is observed that this work strongly uses the mathematics of basic education, facilitating the understanding of the said theory, of students and teachers of basic education, as well as of the professionals who use math. Editor: Universidade Federal de Roraima Tipo: Dissertação Wed, 01 Jan 2014 00:00:00 GMT http://repositorio.ufrr.br:8080/jspui/handle/prefix/728 2014-01-01T00:00:00Z