Matemática em rede nacional - Mestrado Profissional

URI Permanente desta comunidade

http://repositorio.ufes.br/handle/10/17498

Programa de Pós-Graduação em Matemática em Rede Nacional

Centro: CCE
Telefone: (27) 3145 4561
URL do programa: https://matematica.redenacional.ufes.br/

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Agora exibindo 1 - 20 de 123

Uma proposta de sequência didática para treinamento olímpico em matemática
(Universidade Federal do Espírito Santo, 2013-04-09) Castro, Fidelis Zanetti de; Rosado Filho, Moacir; Guimarães Filho, Florencio Ferreira; Abdón, Miriam Del Milagro
This work consists of a didactic sequence to be used in Olympic training of students of the School of Mathematics. This work deal with the following issues: "Problems”, "Integers Numbers", "Diophantine Linear Equations", "Pythagorean Theorem" and "Games". Each chapter contains a contextualized theoretical presentation, solved problems and proposed problems, with appropriate answers and tips for resolution.
Aplicação de conceitos de Geometria e Estatística à construção e utilização do Pluviômetro tipo Pet
(Universidade Federal do Espírito Santo, 2013-04-09) Moser, Fábio; Rosado Filho, Moacir; Abdón, Miriam Del Milagro; Guimarães Filho, Florêncio Ferreira
This report has the subject of presenting the contextualization of concepts of Geometry and Statistics for the third level college students from Vila Pavão city Espírito Santo. Was begun from the construction of a plastic pluviometer in class, also the construction and interpretation of grafics for the distribution of rain in each month of the year in this city, through the period from January of the year 1994 to December of the year 2012. Considering that most part of the students concluding college live in the countryside of this city, the intention of this report is that the students use this information and make them spread on the farms they live and have a concise forecast about the distribution of rain throughout the months. By this way we want to teach Geometry and Statistics in a contextualizated form using these contents in local problems of Vila Pavão city Espírito Santo, so contributing to give practical meaning to these mathematical issues
Relações entre cônicas e funções no ensino médio
(Universidade Federal do Espírito Santo, 2013-04-09) Louzada, Silvia; Gonçalves Junior, Etereldes; Carmo, Fabiano Petronetto do; Simas, Fabio Luiz Borges
Geometria 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 Quispe
Based 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.
O ensino-aprendizagem de matemática através de projetos envolvendo profissões: um estudo de caso no ensino fundamental
(Universidade Federal do Espírito Santo, 2013-04-12) Pêgo, Rudnei Nunes; Rosado Filho, Moacir; Guimarães Filho, Florêncio Ferreira
This project is aimed to develop a possibility of teaching / learning to some mathematical issues and apply it through practical projects related to a profession, to increase student learning. In order to this it was done a case study with two classes of 8th grade (9th grade in the new nomenclature) of a public elementary school from Serra-ES involving the Architecture and Engineering professions, which were chosen with the classes. The contents worked were defined by the researcher, who was also the teacher of the discipline, based on their previous experience and items in which students typically encountered major difficulties, namely: Trigonometry of Rectangle Triangle and Areas of Plane Figures. The project was defined as: the construction of a school maquette and low plants of the school and the square, in scale. The students, organized in groups, were accompanied and assisted by the teacher throughout the entire project. The results were positive: the students were engaged and motivated; increased their selfesteem, decreased resistance towards Mathematics and the distance between theory and practice; encouraged the teamwork, improving the teacher-student and student-student relationships; and improved significantly students performance in evaluations compared to other classes or these same classes in other contents.
Uma abordagem da teoria de grafos no ensino médio
(Universidade Federal do Espírito Santo, 2013-08-16) Mauri, Rone; Rosado Filho, Moacir; Guimarães Filho, Florêncio Ferreira; Silva, Sérgio Luiz
This work shows a proposal to approach Graph Theory, which is rarely taught at public high schools, and looks for working the theme through the resolution of problems, providing opportunities to the pupil for effective participation on the building of arguments and challenging them to search for solutions, instigating the curiosity and requiring from them an attitude that lead to take decisions, favoring the emergence of creative answers and developing abilities concerning to those proposed on the Common Basic Curriculum of the state public high school. This proposal is described in two chapters, being the first one to introduce the theme on the second grade of high school, and the second one, to retake concepts already seen on the first one and introduce new concepts to the students of the third grade of high school. Both chapters are composed of problems, to introduce concepts and results as much to apply them, bringing their solutions and, in some cases, commentaries to the teachers
O ensino de geometria por meio de construções geométricas
(Universidade Federal do Espírito Santo, 2013-08-23) Pimentel, Jailson; Gonçalves Junior, Etereldes; Xavier, Magda Soares; Farias, Marcelo Ferreira
The purpose of this work is to develop an alternative methodology for teaching Geometry beginning in ninth grade level, with the purpose of awakening in student motivation through mechanisms that enhance deductive logical thinking. In this sense, geometry teaching based on geometric constructions with ruler and compass will be considered relevant, as textbooks generally abandoned this geometry teaching method in ninth grade. We will also focus some elaborations using the resources of practical software Geogebra. This work will be made and developed in two stages. The first one will consist of a questionnaire, which will include a review of the contents considered prerequisites for the second part. The second and main stage of this work is formed by geometric constructions with ruler and compass, and then elaborations using the practical features of the software Geogebra. For this, we will use a simple language, detailing step by step the construction of each geometric picture. However, we will limit ourselves to plane figures. The continuity proposal of the subject reaches the constructions through flat pattern of a picture in three dimensions. In general, the discipline “Geometric Drawing” is not present in the public schools curriculum. Thus, students, particularly the ones from elementary school, believe that the measure serves only to draw circles, and it can also be used as a measuring instrument. It is hoped that this work will not only contribute to an understanding of theoretical as well as the improvement of teaching practices in geometry classes, since the contents and methodologies used here are intended, primarily, to help mathematics teachers of basic education.
Uma proposta de ensino dos temas sistemas lineares e determinantes
(Universidade Federal do Espírito Santo, 2014-04-04) Prezotti Filho, Paulo Roberto; Gonçalves Júnior, Etereldes; Wrobel, Julia Schaetzle; Vieira, Evilson da Silva
The contents of this paper provides a complementary knowledge covered in the textbooks, in which we will smoothly teaching relevant information and answer some questions that usually come across to teach matrices, determinants and linear systems students of the second year of high school.
Dificuldades na aprendizagem da matemática: um estudo com alunos do ensino médio
(Universidade Federal do Espírito Santo, 2014-04-14) Loureiro, Vanilda; Bayer, Valmecir Antonio dos Santos; Fantin, Silas; Ccoyllo, Rosa Elvira Quispe
The main objective of this dissertation is to investigate the phenomenon of the difficulty that many high school students have in learning math. For that, it chooses to understand the view of those students about the problem. It discusses somewhat about the influences that the motivation can exert influence in learning. It also discusses ethnomathematics and resolution problems and about the importance that they can achieve during the students’ learning process. Opting for the qualitative research it takes refuge with a questionnaire as a method of gathering information. It points that the students understand that the problem is not just in the teaching method utilized by the teacher or in the abstract nature of mathematics itself. Thus, many of the individuals who contributed to the survey indicate a lack of basic math in elementary school and the need to memorize many formulas and rules as the main reasons for the difficulty of students to learn mathematics in school. As suggestions, the students who completed the questionnaire point mainly to the teacher’s need to change the method of teaching, as well as the use of other resources and / or exploitation of situations of everyday life. It proposes that it is necessary the realization of new studies not only in high school to understand better the problem, but also in elementary school.
Tópicos de geometria plana com o software geogebra: proposta de sequências didáticas
(Universidade Federal do Espírito Santo, 2014-04-14) Fiorotti, Luciana Bahiense; Bayer, Valmecir Antonio dos Santos; Fantin, Silas; Silva, Domingos Sávio Valério; Bayer, Valmecir Antonio dos Santos
According to the reality of the schools that I have worked the teaching of plane geometry is deficient, causing students to forget certain facility settings and properties. A source that can (and should) be used is the proposal of the present dissertation: an educational software for the study of plane geometry. To be more explicit, we propose the use of the GeoGebra software, which is free, to show some topics of plane geometry. The idea is to bring the student to assimilate definitions and properties through geometric constructions, using didactic sequences in GeoGebra. These didactic sequences may be used in any term of high school, once the main goal of the project is to support students, regardless the series that they are attending. The first sequences are intended to show some features of the software and the other, geometric constructions and properties involved.
Oficina de aritmética: o uso dos números primos na resolução de problemas e algumas curiosidades
(Universidade Federal do Espírito Santo, 2014-04-14) Reis, Carlos Costa dos; Bayer, Valmecir Antonio dos Santos; Rosado Filho, Moacir; Fantin, Silas
This project presents a didactic workshop proposal for primary and high school teachers and students to work with problem-solving techniques involving prime numbers in class, or even for the improvement of groups which are preparing themselves for Mathematics Olympiads. The chapters sequence exposes the basic theory, a brief argumentation about problem solving, many issues concerning prime numbers and its resolutions, and lastly, articles on prime numbers worldwide curiosities.
Resgate 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 Pereira
The 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.
Resgate da inserção das noções elementares do cálculo (em particular, das noções de limite) durante o ensino médio
(Universidade Federal do Espírito Santo, 2014-04-25) Ferreira, Alexandre Maia; Gonçalves Junior, Etereldes; Conceição Junior, Duilio Tadeu da; Wrobel, Julia Schaetzle
This work is an alternative return of the issues related to Di erential and Integral Calculus approach, intuitive and constructive way, during high school. The development of this material starts with doing historical research on the evolution of the study of limit, derivative and integral, then it is a survey of data between faculty and graduate students about the impacts (advantages/disadvantages) that the transfer of redemption ideals related calculation would provide. In order to justify the proposed restoration, a mapping of the contents that require focus on intuitive notions of calculus in the main textbooks used traditionally in public and private schools capixabas was performed. It was questioned from the grade teachers, the vision of the National Curriculum Parameters (PCN), the core curriculum, the availability of training courses and speci c teaching materials for conducting such an initiative as well as the situation in which you can enter these concepts was evaluated harmlessly and commitment to teaching/learning of students. After analyzing the main issues that require the use of concepts of Calculus, in general, was set up to draft sequence with didactic activities, strategies and methodologies developed and presented in a constructive and intuitive way.
Números reais: conceitos e representações
(Universidade Federal do Espírito Santo, 2014-10-20) Ramos, Alex Mofardini; Valentim, Fábio Júlio da Silva; Oliveira, Adriana Neumann; Wrobel, Julia Shaetzle
This work is mainly focused on the exploration of the concept of real numbers with emphasis on its decimal representation and correspondence with the straight. Its main feature is the use of a constructive process for numerical sets using definitions and axioms of Peano and Dedekind. Moreover, throughout the text, there is a clear search for the reader motivation with a large amount of examples, observations and suggestions for the use of computing resources before, during and after the introduction of new concepts, definitions and results.
Aplicação da matemática em investimentos financeiros : caderneta de poupança e títulos públicos
(Universidade Federal do Espírito Santo, 2015-01-01) Ponaht, Osmar; Rosado Filho, Moacir; Bayer, Valmecir Antonio dos Santos; Fantin, Silas
Starting with a brief study of percentage and some of its applications, the development of this work consists of a review of the fundamentals of financial mathematics and its applications in two kinds of investments denominated savings accounts and government bonds. In addition to the traditional simple and compound interests, associating them with arithmetic and geometric progressions, respectively, it encompasses different types of rates (proportional and equivalent, nominal and effective, variables and accumulated) including the concept of overnight rate. Based on the subjects mentioned, the work ends with an application of financial mathematics associated with investments in savings accounts and several government bonds negotiated in Direct Treasure.
Uma aplicação de matemática financeira à análise de títulos de renda fixa
(Universidade Federal do Espírito Santo, 2015-01-01) Muller, Michelly Cavaliere; Rosado Filho, Moacir; Guimarães Filho, Florêncio Ferreira; Fantin, Silas
Every day, people know that there are many financial investments but most people don’t have the necessary knowledge to choose which is the best investment for their money. So, they only invest in savings accounts, maybe because it is simpler and the best known way to save money. This work shows the importance of Financial Mathematics for the knowledge about investment. Through an approach of Geometrical and Arithmetical Progression and, hence, of Financial Mathematics, some financial applications and their concepts are presented, with calculations and activities that show how to compare them. Therefore, concepts and properties of Geometrical and Arithmetical Progression and Financial Mathematics are described in this work and, as an application of these ideas, concepts and calculations of several rates are presented (equivalence of rates, effective and nominal rates, pre and post fixed rates, variable rates, referential rate), besides some financial investments (saving accounts, CDB, LCI). To consolidate this study, we show in the end of this work a suggestion with many activities that can be done in classroom to contemplate the calculations of the return on investments, showing to the student how to calculate and compare these incomes.
Tópicos 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 Villanueva
This 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.
Análise das raízes complexas de uma equação quadrática e estudo de números complexos no ensino médio
(Universidade Federal do Espírito Santo, 2015-05-26) Camata, José Gleydson; Ccoyllo, Rosa Elvira Quispe; Bayer, Valmecir Antonio dos Santos; Villanueva Zevallos, Juan Elmer
Uma proposta de sequência didática para jogos combinatórios
(Universidade Federal do Espírito Santo, 2015-06-18) Gomes, Ygor Franzotti de Barros; Rosado Filho, Moacir; Guimarães Filhos, Florêncio Ferreira; Fantin, Silas
This work presents a didactic sequence about combinatorial games for Regular School. The topics are "Games", "Numbering System", "Divisibility", “Symmetry" and "Problems" .Each chapter contains a contextualized theoretical development, solved problems and proposed ones, containing the appropriate answers and tips for solutions.
Escola atual e a contextualização da matemática
(Universidade Federal do Espírito Santo, 2015-06-25) Borges, Eduardo Cosme; Bayer, Valmecir Antonio dos Santos; Guimarães, Andréa Gomes; Silva, Domingos Sávio Valério

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