TCC - Licenciatura em Matemática (Sede)
URI permanente para esta coleçãohttps://arandu.ufrpe.br/handle/123456789/466
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Item Estágio supervisionado III: experiências vivenciadas em turmas do 8° e 9° ano do ensino fundamental de uma escola pública do Estado de Pernambuco(2018) Silva, Rayssa de Moraes da; Almeida, Jadilson Ramos de; http://lattes.cnpq.br/5828404099372063; http://lattes.cnpq.br/8593286814153182Item Relatório de Estágio Supervisionado no Ensino Médio(2018-06-30) Andrade, Fernando José Pessoa de; Costa, Wagner Rodrigues; http://lattes.cnpq.br/7087770599703498; http://lattes.cnpq.br/2740247760877335Item Relatório de Estágio Supervisionado no Ensino Médio(2018-07-31) Silva, Rani Rodrigues da; Costa, Wagner Rodrigues; http://lattes.cnpq.br/7087770599703498; http://lattes.cnpq.br/0235360702690225Item Relatório de Estágio Supervisionado no Ensino Médio(2018-08-02) Silva, Rafael Pedro da; Costa, Wagner Rodrigues; http://lattes.cnpq.br/7087770599703498Item Estratégias e dificuldades de alunos do 9º ano do ensino fundamental na resolução de equações do primeiro grau(2019) Santos, Tayslane Rafaela Silva dos; Almeida, Jadilson Ramos de; http://lattes.cnpq.br/5828404099372063; http://lattes.cnpq.br/2211193493479229Item Domínios com Fatoração Única em Ideais(2019-01-10) Soares, Matheus Nunes; Guedes, Gabriel Araújo; http://lattes.cnpq.br/6087142765405339; http://lattes.cnpq.br/3706962639781669The following work is a study on integral domains that are not UFD, but are Dedekind Domains, in other words, the elements of the domain do not have unique factoration but your ideals have it. The principal objective is proof that the quadratic ring Z[√-5] is Dedekind domains but not UFD.Item Função quadrática e área máxima de retângulos em livros didáticos do ensino médio: contextualizações e praxeologias matemáticas(2019-07-24) Santos, Jeandson Moura dos; Espíndola, Elisângela Bastos de Melo; http://lattes.cnpq.br/0367382856462792; http://lattes.cnpq.br/5729531258133392Ce travail vise à identifier les différents types de contextualisations et la praxéologie mathématique de situations problémes impliquant une fonction quadratique et une surface maximale de rectangles. En tant que référence théorique, nous sommes guidés par des études sur les différents types de contextualisation pour l’enseignement des mathématiques et de la théorie anthropologique du didactique.Dans les procédures méthodologiques ont été consultés huit manuels de la 1ère année du lycée. Les catégories d'analyse étaient de quatre types de contextualisation: mathématique, quotidienne, interdisciplinaire et historique. Les résultats présentés sont liés à l'enquête sur les manuels d'introduction au chapitre, aux activités résolues et aux activités proposées pour résoudre le problème des élèves. En tant qu’analyse des types de tâches et de techniques du thème spécifique de la valeur maximale et de la valeur minimale de la fonction quadratique dans les manuels, nous mettons en évidence l’absence de contextualisation mathématique dans l’introduction du thème, mais sa présence marquée dans les activités résolus et proposés à la résolution des étudiants. En ce qui concerne l'organisation mathématique, trois types de tâches et de techniques avec plusieurs sous-types ont été identifiés. Le plus proposé dans les manuels est la tâche de calculer les mesures sur les côtés d’un rectangle pour que sa surface soit maximale avec sa technique: Utilisez le calcul du sommet de la parabole de la fonction quadratique pour déterminer les dimensions des côtés d'un rectangle pour que sa surface soit maximale.Item A utilização da robótica como alternativa para o trabalho com comprimento da circunferência e ângulo(2019-07-24) Assis, Pablo Oliveira de; Costa, Wagner Rodrigues; http://lattes.cnpq.br/7087770599703498Math teachers often realize kids struggle about geometry and units of measurement. specifically, about angles and circumference applications. This article shows how these concepts can be explored using the educational robotic to reach an active learning over a teacher supervision. For this research we invited 6th grade students and the data showed that association with mathematics concepts and technology made it easier to think about math and use it to solve problems.Item O Teorema de Baire e suas aplicações na Análise Funcional(2019-07-29) Albuquerque, Anne Caroline Carneiro de; Silva, Clessius; http://lattes.cnpq.br/2401078773322406; http://lattes.cnpq.br/5028414803312146In this work, we will present the applications of Baire’s Theorem to Functional Analysis, more specifically to the classic results of this area, Banach Steinhaus Theorem, Open Application Theorem and Closed Graph Theorem.Item Os conceitos de fração parte-todo, quociente e operador: a necessária diferenciação desses subconstrutos na prática docente(2019-08-12) Brito Junior, Jairo Jose Ribeiro Toscano de; Rodrigues, Cleide Oliveira; http://lattes.cnpq.br/2951731416008876; http://lattes.cnpq.br/1567270124477805Item Um estudo sobre equações diferenciais ordinárias em dinâmica populacional(2019-12-14) Franco, Mariana Pereira; Carvalho, Gilson Mamede de; http://lattes.cnpq.br/0044877127514130; http://lattes.cnpq.br/1514122794309246In this work we will emphasize a modeling by differential equations for the dynamics between two populations in a predation relation, which is known in the literature as Volterra’s Predator-Prey Model. With this purpose, we will present necessary mathematical tools for a proper problem analysis: a brief study of the solution methods for some ordinary differential equations, the results that underlie them and some aplications; and notions of stability of singularities of autonomous systems.Item Existência e unicidade de solução para problemas envolvendo o operador Laplaciano(2019-12-17) Nunes, Thays Ingrid dos Santos; Araújo, Yane Lísley Ramos; http://lattes.cnpq.br/6642941380570085; http://lattes.cnpq.br/3740642465035306In this work we approach some basic concepts related to the theory of partial differential equations guaranteeing the existence of solution for problems involving the Laplacian operator. Initially, we use the method of variable separation and Fourier Analysis tools to ensure the existence of classical solutions to Dirichlet problems in the rectangle and unit disk involving the Laplace equation, as well as a maximum principle to ensure the uniqueness of the solution. Then, we use results from Functional Analysis and Sobolev spaces to ensure under certain conditions that there is only one weak solution to the Dirichlet problem involving the Poisson equation.Item Um estudo sobre completude e compacidade em espaços métricos(2019-12-18) Silva, Hugo Henryque Coelho e; Araújo, Yane Lísley Ramos; http://lattes.cnpq.br/6642941380570085; http://lattes.cnpq.br/1324983852661350In this work we will present a study about the theory of complete and compact metric spaces. Initially, we will cover some basic concepts related to the theory of metric spaces, continuity and sequences in metric spaces. Next, we will list a motivation for the study of the theory of complete metric spaces, some of their properties and valid results in these spaces, such as Baire’s theorem and Banach’s fixed point theorem as well as some of its applications. Finally, we will present a study about the theory of compact metric spaces, addressing its general properties and some important results of the mathematical analysis that are valid in these spaces, as we can mention Riesz theorem and Ascoli-Arzelá theorem.Item Uma sequência didática para introduzir a eoria dos grafos no Ensino Médio: teoria matemática e prática docente(2019-12-18) Silva, Yasmim Eduarda Santiago da; Silva, Thiago Dias Oliveira; http://lattes.cnpq.br/7439995985621562; http://lattes.cnpq.br/2861415243055101In this work we present the basic concepts for the basis of the study of graph theory. We study special classes of graphs such as trees, Eulerian graphs and planar graphs. Next we apply this concepts to study two problems: Graph Coloring and the Chinese Postman Problem. Finally we include a didactic sequence that aims to teach graph theory to high school students.Item Introdução à Álgebra Comutativa: um estudo sobre tensores e sequências exatas(2019-12-19) Silva, Ewellyn Carolaine Rodrigues da; Santos, Danilo da Nóbrega; http://lattes.cnpq.br/8573173492661145; http://lattes.cnpq.br/3968960981175158The objective of this work is to present and demonstrate some basic results about Modules, emphasizing their application in Exact Sequences and in the construction of Tensor Product. Furthermore we have shown some examples to make these concepts easier to understand.Item Princípios Básicos de Mecânica Celeste(2019-12-19) Souza, Lucas Henrique Mendes de; Santos, Marcelo Pedro dos; http://lattes.cnpq.br/6209597830775891; http://lattes.cnpq.br/7001252732128332This work discusses the basic concepts for the study of the Celestia lMechanics. Assuming the three Newton’s Laws we demonstrate Kepler’s Laws. Inaddition, some specific concepts that arrise from Celestial Mechanics, are also studied, such as the areal speed, system angular momentum, orbit classification.Item Cálculo Diferencial e Integral: Uma abordagem prática mediante o uso do Software Geogebra(2019-12-20) Santos, Elizabeth Bispo dos; Silva, Tarciana Maria Santos da; http://lattes.cnpq.br/1650180237175460; http://lattes.cnpq.br/9799662711705928This monograph has as its theme the use of Geogebra in the teaching of differential and integral calculus. To this end, we made a historical overview showing how the calculation has developed over the years as well as a manual on how to work the concepts of Derivative and Integral through Geogebra Software, making the approach of these contents more playful and current. In higher education, the teaching of differential and integral calculus is characterized as an abstract process, as it is new concepts for students. The difficulty of these disciplines is apparent from their abstraction and the need for graphical and algebraic representations which students find arduous. In view of this, a workbook for the use of Geogebra Software was developed in this work, with the objective of assisting teachers and academics in the contents of these subjects. The work addresses the main concepts of derivatives and integrals and then their graphical representations through Geogebra. Geogebra Software has great potential in helping classroom practices, as it provides new pedagogical approaches to teachers, positively influencing the posture and pedagogical practices of each teacher.Item Estratégias de alunos do 6º ano do ensino fundamental na resolução de problemas envolvendo os significados parte-todo e operador de frações(2019-12-20) Souza, Thais Maia Galvão de; Almeida, Jadilson Ramos de; http://lattes.cnpq.br/5828404099372063; http://lattes.cnpq.br/3996826639338371Item Uma análise de um livro didático de matemática à luz do Conhecimento Tecnológico Pedagógico do Conteúdo (TPACK)(2019-12-20) Santos, Matheus Henrique Silva de Lima; Costa, Wagner Rodrigues; http://lattes.cnpq.br/7087770599703498; http://lattes.cnpq.br/7593592713599499In the last years, several teaching materials have been developed to improve mathematics teaching. Among these resources, materials such as books, handouts and class notes have been badly seen in the student’s eyes, because they carry a more refined mathematical language. In this context, the emergence of Information and Communication Technologies (ICT) for teaching is increasingly present in the school environment, however are they all well applied and on time? Do these technologies really help as they promise? What about the teacher, are they prepared to use this kind of tool? Based on these questions, this article presents concepts present in the Technological Pedagogical Content Knowledge (TPACK), studied by Koehler and Mishra by adding the technology to Shulman's studies on Pedagogical Content Knowledge (PCK). Also used in the research were the foundations described in the Common National Curriculum Base (CNCB) about the skills that students should have about geometry in basic education. After an in-depth analysis of these two theoretical foundations, an analysis was performed in a textbook of the 9th grade of Elementary School, in order to seek the guidance present in it for the use of technologies in the classroom. In the end, direct references to CNCB and the use of technologies such as Geogebra, websites to assist studies, links to videos with educational content and suggestions on dynamic activities that enhance student’s learning in the classroom, as well as contributing to the maintenance and the improvement of the methodologies of the teachers of the basic education.Item Introdução às Transformações de Möbius: aspectos geométricos e algébricos(2019-12-27) Santos, Elisa Joaquim; Silva, Adriano Regis Melo Rodrigues da; http://lattes.cnpq.br/5945502241642845; http://lattes.cnpq.br/7256135624977554Möbius transformations are important complex rational functions for mathematics and other areas. They belong to the set of maps that preserve angles, called conformal, and that are applied in various physical problems. The aim of this work is to introduce in a geometric and algebraic way the Möbius transformations, using basic geometry and encouraging its study through its application. For this, we will introduct preliminary notions of complex numbers, plane transformations, stereographic projection, Riemann sphere and the relationships between these concepts and Möbius transformations. Finally, we obtain algebraic classification for these transformations.