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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 Quispe
Mostrar mais 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.Mostrar mais - ItemAplicação do software geogebra ao ensino da geometria analítica(Universidade Federal do Espírito Santo, 2013-04-09) Guedes, Paulo Cezar Camargo; Bayer, Valmecir Antonio dos Santos; Rosado Filho, Moacir; Abdón, Miriam Del Milagro
Mostrar mais By teaching Analytic Geometry classes for High School Senior Students, I have always noticed that most students not only did not remember the main properties of Plane Geometry, but also had great difficulty making the analogy between them and the Cartesian Plane. Aiming an improvement in this learning, I thought about an intervention proposal which would make students environment work more pleasant. By the advent of computer and the GeoGebra Software, I tried to draw practical lessons, double or single, so that they could revise and acquire the main concepts of Analytic Geometry Plane. This work was developed in order to make the students visualize and acquire knowledge studied since Elementary and early school grades for further revision. The paper was prepared with questions to make students analyze certain properties previously chosen, discuss the results obtained from some questions, develop arguments to prove the observations obtained, and describe clearly and succinctly the relations and conditions to explain the concepts and properties studiedMostrar mais - ItemRelações 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
Mostrar mais - ItemUma 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
Mostrar mais 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.Mostrar mais - ItemSequências numéricas e aplicações(Universidade Federal do Espírito Santo, 2013-04-10) Santos, Gabriel Peres; Valentim, Fábio Júlio da Silva; Simas, Fabio Luiz Borges; Ccoyllo, Rosa Elvira Quispe
Mostrar mais - ItemO 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
Mostrar mais 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.Mostrar mais - ItemO ensino de parte da geometria do ensino fundamental: análise de dificuldades e sugestão de sequência didática(Universidade Federal do Espírito Santo, 2013-04-12) Leite, Rondineli Schulthais; Rosado Filho, Moacir; Guimarães Filho, Florêncio Ferreira; Pereira, Orlando dos Santos
Mostrar mais This paper aims to build an effective and systematic learning of the most important geometric concepts of the ninth year of elementary school, using the software GeoGebra as an innovative tool in building a didactic sequence that contributes significantly to the understanding of the geometric content. They are: similarity of triangles, Tales theorem, metric relations in the rectangle-triangle, trigonometry and the Pythagorean theorem. It is hoped that these contents are worked harmoniously, unlike the common practice that organizes these issues on topics as if there was no connection between their concepts. We conducted an investigative research with students and teachers in order to observe the main problems students have in learning geometry in ninth grade, and check possible mistakes made in the teaching and learning process of these geometrical concepts. In possession of the search results, we started the didactic sequence construction, seeking to unclog the main obstacles observed in the leading of these contents, favoring organized learning with teacher's guidance, but constructed by the student. For this, we produced five activities in an introductory aspect, exclusively, of these issues, organized in labor routings so to lead students onto a gradual and consistent learning through manipulations performed in the software GeoGebra. The evaluation of this suggestion of didactic sequence becomes important and deserves further studies to verify how effective it is as a tool in the conducting of teaching these geometric contents.Mostrar mais - ItemO 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
Mostrar mais 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.Mostrar mais - ItemIntrodução à matemática financeira para alunos na educação de jovens e adultos(Universidade Federal do Espírito Santo, 2013-08-23) Spinassé, Camila; Gonçalves Junior, Etereldes; Castro, Fabio Correa; Farias, Marcelo Ferreira
Mostrar mais - ItemUma proposta de sequência didática para o ensino de MDC e MMC na educação básica(Universidade Federal do Espírito Santo, 2014-03-27) Mauricio, Eufélix Monteiro; Rosado Filho, Moacir; Guimarães Filho, Florêncio Ferreira; Silva, Ana Lucia; Rosado Filho, Moacir
Mostrar mais This work consists in a didactic sequel reported to the basic education teachers, mostly from public schools of the State. This sequence is particularly about the calculation of the gcd (greatest common divisor) by the Euclidean division. We take this opportunity to discuss a little about divisibility, lcm (least common multiple) and primes. The proposal in query is formed in chapters. In each one of them there is a list of exercises. At the end of chapter 4, we added a series of additional exercisesMostrar mais - ItemMatemática financeira: discussão de resultados e proposta para capacitação de professores(Universidade Federal do Espírito Santo, 2014-04-03) Garcia, Solano Martinazzi; Gonçalves Júnior, Etereldes; Vieira, Evilson da Silva; Alves, Magno Branco
Mostrar mais This work starts from the analysis of a discursive issue of UFES’s entrance exam for freshmen in 2013, involving Financial Mathematics knowledge, in which the candidates had a low rate of right answers. To determine the possible causes for the low performance the teaching materials analysis was first, with that it was verified that the deficiencies were not of the same reasons that could cause such results to be achieved. After researching and testing it was found that mathematics teachers, were mostly not trained to teach Financial Mathematics in High School. From this finding, the focus of this work became the development of a proposal for the training the teachers in teaching Financial Mathematics at High School and also suggesting changes in textbooks, about teaching certain content (mainly simple interest ), including some topics that are not being addressed and deepening in others, introduction of the method of Arrows to the equivalence of values in time, Systems amortization payments and the use of computer programs. This work aims to contribute to the improvement in teaching Financial Mathematics besides being a support for teachers who will be able to use it as background material for their classes.Mostrar mais - ItemUma 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
Mostrar mais 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.Mostrar mais - ItemTópicos 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
Mostrar mais 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.Mostrar mais - ItemOficina 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
Mostrar mais 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.Mostrar mais - ItemDificuldades 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
Mostrar mais 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.Mostrar mais - 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 Pereira
Mostrar mais 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.Mostrar mais - ItemResgate 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
Mostrar mais 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.Mostrar mais - ItemNúmeros 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
Mostrar mais 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.Mostrar mais - ItemTrigonometria como uma ferramenta no auxílio do cálculo de distâncias inacessíveis(Universidade Federal do Espírito Santo, 2015-01-01) Leite, Lélio Antônio de Oliveira; Silva, Domingos Sávio Valério; Rosado Filho, Moacir; Guimarães, Andréa Gomes
Mostrar mais This work aims to provide background material for math teachers and students of elementary and high schools and the focus is on applications of trigonometry. We begin with some definitions and results on this topic and approach different situations problems to illustrate to the reader the importance of trigonometry in the aid calculation inaccessible distances.Mostrar mais - 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 Villanueva
Mostrar mais 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.Mostrar mais

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