Mestrado Profissional em Matemática em Rede Nacional

URI Permanente para esta coleção

http://repositorio.ufes.br/handle/10/17499

Nível: Mestrado Profissional
Ano de início: 2006
Conceito atual na CAPES: 5
Ato normativo: Portaria MEC nº 609, de 14/03/2019, publicada no DOU em 18/03/2019, seção 1, página 63. Parecer CES/CNE nº 487/2018.
Periodicidade de seleção: Anual
Área(s) de concentração: Matemática na Educação Básica
Url do curso: https://matematica.redenacional.ufes.br/pos-graduacao/PROFMAT/detalhes-do-curso?id=1474

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Agora exibindo 1 - 20 de 50

A matemática do resto: aplicações de congruência para as séries finais do Ensino Fundamental e Médio
(Universidade Federal do Espírito Santo, 2016-03-24) Paiva, Gilberto de; Guimarães Filho, Florêncio Ferreira; Guimarães Filho, Florêncio Ferreira
This work consists of activities proposed for use in elementary and secondary education, addressing Integers, Linear Diophantine Equations, congruence and its applications, such as Chinese Remainder Theorem and organizing a schedule. Each chapter contains a theoretical development contextualized, exercises and their solutions.
A matemática financeira e a inclusão bancária dos alunos do ensino médio
(Universidade Federal do Espírito Santo, 2015-07-10) Pegoretti, Jordon Luiz; Bayer, Valmecir Antonio dos Santos; Rosado Filho, Moacir; Bayer, Valmecir Antonio dos Santos
This paper deals with Financial Mathematics in high school and its importance to the household finances and the conscious credit, seeking to prepare students for banking inclusion. Therefore, we proposed activities that address the matter and how it is relevant to relationships with banks and / or financial. The methodology is based on an exploratory survey of employees of a bank city of Linhares-ES, responsible for customer service, credit analysis and sale of products and services to individual and corporate person. The research aims to verify the knowledge level of the population from the point of view of banking. With the results, have been proposed activities involving loans, using credit card and overdraft, focused on conscious credit and to find solutions to the growing household debt. The final considerations underline the importance of financial education quality and how it will influence the individual's choices for life. As contributions, research leaves us lessons and challenges. Lessons when we review the survey results with the bank and as the theme have been poorly addressed in schools, reflecting the Brazilian population, and challenges us to change the course of this history and begin a process of reduction of household debt through awareness of our students
A semelhança de figuras no ensino da geometria plana Vitória
(Universidade Federal do Espírito Santo, 2017-11-20) Bachir, Monica de Figueiredo; Filho, Moacir Rosado; Filho Guimarães, Florêncio Ferreira.; Fantin, Silas
This work consists in carrying out an in - depth study on the similarity of flat figures, from a previous knowledge of the basic concepts of flat geometry. In addition to the theory, addressed in the first three chapters and addressed mainly to teachers of mathematics, there are also, in the following three chapters, exercises solved traditionally and also solved using GeoGebra software, in addition to proposed exercises along with their respective expected answers.
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
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.
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
Aplicações do Software GeoGebra ao ensino de funções
(Universidade Federal do Espírito Santo, 2018-08-27) Oliveira, Marcelo Peres de; Rosado Filho, Moacir; Guimarães Filho, Florêncio Ferreira
This work consists in the presentation of a possibility for the teaching of Functions from experimental constructions using GeoGebra software to assist the construction, visualization and comprehension of graphs of some functions. We present a didactic practice that brings activities in which the students have the opportunity to elaborate the graph of the functions and make modifications, having to think what to do in each situation and perceive the regularities, thus establishing research strategies. The activities presented were based on the author's experience in working with the initial high school grades in a private school in the State of Espírito Santo. We know that it is relevant at the same time to develop a computer culture within the school. As teachers, we must be aware that due to the growing computerization of society, the presence of computers in the educational institution should be examined with a reality that no longer has to discuss, but whose real meaning needs to be built. In pursuit of obtaining more effective learning, we must be prepared to manage and make effective use of these new technologies, observing their pros and cons, and as key elements of the teaching and learning process, always strive to reach a break even. Being the computer is one of the technological instruments used in the school environment, we carry out the study relating the computer, the study of the functions and its educational process school. Through a program with "drawing in motion" features, GeoGebra, we allow the student actions such as experimenting, interpreting, visualizing, inducing, guessing, abstracting, generalizing and finally demonstrating. We conclude that the use of new technologies in the classroom is a great ally in the teaching of mathematics, provided that adequate planning is done with objectives to be achieved.
Áreas sob curvas: uma sequência didática para o ensino médio
(Universidade Federal do Espírito Santo, 2015-10-27) Boldrini, Thiago; Valentim, Fábio Júlio da Silva; 1º membro da banca
I propose the continuation of the studies of functions on high school by inserting the study of areas under graphics and applications in some subjects such as physics and economics. I present the content as activities to be developed with the teacher's help, the definition of natural logarithm as area under a graph and activities to explore the understanding.
Atividades colaborativas com o geogebra: uma proposta de ensino de geometria plana
(Universidade Federal do Espírito Santo, 2016-12-06) Lessa, Alessandra Mathias; Valério, Domingos Sávio; Valério, Domingos Sávio; Rosado Filho, Moacir; Fantin, Silas
Performance rates of Brazilian students have not reached favorable levels in institutional evaluations to verify mathematical learning. Even though Brazil has stood out in the global setting for its development and economic growth, like South Africa, China India and Russia — countries with these characteristics, named BRICS — it has not reached results similar to most of these countries, as in PISA, for example. Therefore, besides assessing, it is important to use the results and set goals so that this picture can be changed. This study departs from the assessment carried out in the education system in the State of Espírito Santo, Brazil: the PAEBES. The result of assessment in the year 2014 will be the basis for the methodology in this study, because it comprises indications of the skills (descriptors) which students have not yet developed. The proposal comprises challenging activities involving geometry to arouse students’ curiosity and willingness to learn in a collaborative and interesting way. Since interactivity attracts youth, the Dynamic Geometry of software GeoGebra can bridge theory to practice, allowing easier visualizations in multiple representations of the object created.
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.
Diversificando o ensino de matemática com ênfase na resolução de problemas
(Universidade Federal do Espírito Santo, 2016-03-24) Aguiar, Paulo Célio; Guimarães Filho, Florêncio Ferreira; 1º membro da banca
This study begins with a brief account of my professional experience and a remark made to appropriate the statistical data of a state school, which I linked meeting. It has been found that it has a considerable rate of failure in Mathematics, and a regular performance in this discipline in external evaluations. In an attempt to identify the causes, was made an observation of lessons, interviews with students and teachers, where we realized that fit present a proposal to diversify the teaching of this discipline in order to improve student learning and hence their performance in evaluations. This discussion extends in the second chapter, which briefly questioned is the way this course has been taught in most schools. É also presented an account of a successful experience. In the third chapter, based on my vision teacher and former manager, I present an educational proposal emphasizing motivation and diversification. From the fourth chapter, problem solving takes the role of main theme of this dissertation and is seen on various aspects. First, we used the mathematics of history to understand the degree of interest of the ancient mathematicians in this theme. In then it is treated as a teaching strategy for teaching mathematics. In the final chapter, we present a series of problems solved, well chosen criterion, which explores various techniques and solving strategies. We ended by suggesting to readers, a list of problems containing some tips and answers.
Ensino de geometria e perspectiva: um olhar pelas fotografias
(Universidade Federal do Espírito Santo, 2018-09-06) Silva, Lenise Júlia Fassini da; Wrobel, Julia Schaetzle; Souza, Maria Alice Veiga Ferreira de; Ccoyllo, Rosa Elvira Quispe
This research brings elements of Projective Geometry to a classroom of the 3rd year of High School, through photographs and art. For this, we present a historical report since the 5th postulate of Euclides and its most varied attempts made for anothers mathematicians to show this unsucessfully, passing for criations of new geometric concepts, until come on the actual days with the formalization of these geometries. We also look at official documents about the teaching of a new geometry in the basic education of the state of Espírito Santo (ES). We applied the didactic sequence in an ES state school and analyzed the impacts on the students’ learning, concluding that the classroom discussion and the students' own artistic production may have facilitated the understanding of the mathematical topics worked in the classes.
Ensino dos pontos notáveis do triângulo com auxílio do GeoGebra
(Universidade Federal do Espírito Santo, 2016-07-09) Vignatti, Luciano; Xavier, Magda Soares; Rosado Filho, Moacir; Sabeti, Mehran
In this work we present two experiences in teaching triangle centers to eighth grade students. One was done using the traditional method, through the use of expository lessons, while the other was done through the use of the software GeoGebra. We also present some theorems about triangle centers, as well as activities with GeoGebra for the teaching of this subject
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
Função exponencial: definição, caracterização e aplicação
(Universidade Federal do Espírito Santo, 2015-06-25) Gadioli, Anderson Oliveira; Bayer, Valmecir Antonio dos Santos; Silva, Domingos Savio Valerio; Guimarães, Andréa Gomes
The present dissertation deals with an approach regarding the teaching of exponential function for teachers of mathematics. This work has served in the studies of LIMA (2010), DANTE (2014), EVES (2004), IEZZI (2011) among others to justify the importance of this teaching in the final series of basic education. It is known that the teaching of mathematics is going through delicate moments in the last few decades, so it is important to expand knowledge for a new approach in this teaching and clearly applies. In this way, it is believed that there is a greater commitment on the part of the teacher and the student in the sense that if you finish with this rancid which is the study of mathematics. Therefore, in a world where new technologies and information is more accessible, the mathematical models become a facilitator when you need to troubleshoot and analyze graphs.
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.
Geometria nos vagões: conexões entre o ensino de geometria espacial e os tipos de vagões
(Universidade Federal do Espírito Santo, 2016-08-14) Santos Filho, Adolpho Olimpio dos; Gonçalves Junior, Etereldes; Rosado Filho, Moacir; Farias, Marcelo Ferreira
This material came from the need to present the content of spatial geometry, regarding railroad cars, which is one of the study objectives of the students of Integrated Electromechanical Rail Maintenance (INERM) at Instituto Federal do Espírito Santo - Cariacica Campus. In this material the following contents are covered: a brief history of space geometry and some important characters that over time helped organize it, or simply made use of it; the need for the emergence of units of measure, a summary of spatial geometry contents, images of some railroad cars and their specifications; associations of some models of cars with solids and some application examples of geometry in studies of railroad cars. It is expected that after this reading students can relate the concepts, forms and properties of solids to the cars, and thus create the necessary connections to the resolution of future problem situations involving the concepts of geometry.
Juros por dentro e a matemática financeira no ensino médio
(Universidade Federal do Espírito Santo, 2018-05-22) Bertoli Júnior, Jailson.; Guimarães Filho, Florêncio Ferreira; Rosado Filho, Moacir; Sabeti, Mehran
This dissertation is a study that involves Financial Mathematics, emphasizing the financing systems and the Interest for Inside, important subjects for the teaching of Mathematics, but little explored throughout the High School in the schools of Brazil. The objective of this work is to provide a material that will help the elementary school teacher in the development of his classes that involve the subjects of Financial Mathematics, such as simple and compound interest systems, as well as financing systems SAC and PRICE. In addition, we analyze how taxes are charged on the electricity bill, the calculation of the ICMS and the pricing system called MARKUP, evidencing the system of interest inside, subject little known even by students of the area. This analysis is important not only for the teaching of Mathematics itself, but also as information for the population in general, since it is a topic that is inserted in the daily life of the people. For the elaboration of this research, energy accounts of the city of Vila Velha – ES and the booklet provided by ANEEL, were consulted, which guides how to calculate the value of the energy bill. Throughout the study, we have noticed that the calculation method drastically increases the amount paid by the consumer, be it the energy bill or some product on the market.
Matemática Aplicada à Topografia
(Universidade Federal do Espírito Santo, 2017-11-16) Zucchi Neto, Antonio Donato; Bayer, Valmecir Antonio dos Santos; Silva, Domingos Sávio Valério; Bayer, Valmecir Antonio dos Santos; Fantin, Silas
This work presents the relation between basic knowledge of geometry and trigonometry with topography, with emphasis on tachometry. The work consists of a brief history and some topography concepts, of the theoretical mathematical foundation necessary for the demonstrations of formulas used in topographical calculations, examples of applying trigonometry and geometry in obtaining inaccessible distances and the procedures to perform the calculations of a survey planimetric by polygon. It is presented a suggestion of classes involving topography in order to better develop mathematical contents in a practical way and with that to asome the interest of the students.
Matemática atuarial: proposta de material didático para a educação de jovens e adultos
(Universidade Federal do Espírito Santo, 2016-03-24) Muniz, Rodrigo Correia; Gonçalves Junior, Etereldes; Valentim, Fábio Júlio da Silva; Lima Neto, Severino Cirino de
This research intends to analyze the contents taught in high school regarding financial Mathematics and probability, aiming to understand actuarial Mathematics and its utility in daily life. They are presented through analysis of everyday situations, such as calculations of life insurance and private pension, in order to prepare supplementary teaching materials on actuarial Mathematics to education of young people and adults. It is justified by the necessity of contextualizing the contents to the reality of the students, mainly on EJA modality, through the preparation of supplementary materials. Based on Freitas (2011), Cordeiro Filho (2014), Pacheco (2014) and Freire (2005), the research is build on the belief that Mathematics contributes both to scientific and empirical knowledge, focusing on experiences and relationships of individuals. In addition, this research provides a different way to approach the financial Mathematics content and probability and presents to students results are influenced on their life expectancy using standard calculations, but of easy understanding through content covered in high school.

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