TCC Matemática

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Agora exibindo 1 - 15 de 15

Uma abordagem da Cicloide: "a Helena da geometria"
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2022-01-25) Silva, Jefferson Marinho da; Vasconcelos, Cleverton da Silva; http://lattes.cnpq.br/8600809859832837; Oliveira, Elinelson Gomes de; http://lattes.cnpq.br/4985621981248771; Silva, Tiago Marinho da; http://lattes.cnpq.br/3964717265579881
This work presents a brief historical research on the cycloid, in addition to an intuitive construction on the curve, working on the definition and parameterization. This research discusses pedagogical practices that link the contents to the playful context of presenting the cycloid and not just algebraic as in calculation books. Taking into account the context of Mathematics, this proposal presents as a problem the lack of interest in the study of the curve, considering that its use was left aside by mathematicians. In the context of these problems, the proposal intends to awaken the relevance of the cycloid, answering the following questions: how to motivate the understanding of the cycloid? How to show practicality through your application? The main objective of the proposal is to present in a more practical way the understanding of the cycloid. This work is based on studies by Boyer (2012), Bustillo and Sassine (2011) and Stewart (2013). With the results, it was possible to observe that although we have other ways to calculate the cycloid, the best way would be with the parametric equations, as they bring us a simpler way of calculating the curve. The results also point to the practicality of building in Geogebra.
Uma análise dos números reais sob o olhar do professor de matemática no ensino básico
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2022-07-05) Silva, Danilva Claudia Alvino da; Siqueira, Anderson Rangel Batista; http://lattes.cnpq.br/8130778140721340; Silva, Gilmar Teodozio; http://lattes.cnpq.br/7311803942000051; Silva, Rosivaldo Pereira da; http://lattes.cnpq.br/8652133702306422
This work attempts to encourage students of major in Mathematics to give more importance to the Study of real numbers as a way of being future teachers aware of transmitting the clearest and most objective content to Basic Education students, especially to the subject that deals with the origin of irrational numbers. The unwillingness of some teachers to talk about real number theory and history leads the student to believe that they exist by chance, wlich leads students to accept ready-made formulas. In some cases the teacher itself omits this topic, without attaching much importance to learning, and many students finish high school without knowing why real(ou irrational?) numbers exist and go unnoticed as to how the set of real numbers can be described. The main aim of this work is a critical study of real numbers, from the point of view of a mathematics teacher, this ondergraduate student herself, based on experiences lived in the school career, which can be seen that many undergraduates in mathematics also face a lot of difficulty in trying to understand a subject that seems simple at first, but there are several divergences, as a result, we will analyze the ideal procedures that suit our reality in mathematics teaching, as well as propose to future teachers ways of passing the content to students in a didactic and comprehensive approach, offering students a deeper view of the subject, so they may enjoy the proposed content. Work, uses bibliographic research and a qualitative approach, based on a bibliographic approach, in an explanatory way.
A criação da régua de números inteiros adaptada para o braille a partir da modificação do material dourado
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2018-11-30) Nascimento, Douglas Lopes do; Pereira Neto, Lauro Lopes; http://lattes.cnpq.br/2294245620497736; Costa, Camila Lima da; http://lattes.cnpq.br/1430561754887346; Silva , Luiz Galdino da; http://lattes.cnpq.br/6511974471336575; Oliveira , Elisabete Duarte de; http://lattes.cnpq.br/7781886522973384
This study arose from the questionnaire of the inquietations of teachers, in particular teachers of mathematics, and the client with visual students: how to teach a student with visual impairment? How to include it in the classroom? These concerns may be normal, since initial orientation courses are not tailored to needs. In this way, this study proposes a construction of a manipulative didactic material as a didactic proposal for teaching people with visual impairment, making possible the inclusion of this student in the classroom. Thinking about the difficulties facing the problems faced, this is a resource as an aid to the learning process of a student who has, in the hearing and the domain, higher cognitive functions than the learning capacity. This study was to propose the creation of the integral index rule adapted for Braille, from the changes of the golden model including the method of understanding between integers integers integers. It is a low-cost, manipulative teaching material and helps in the process of inclusion of visually impaired students in the classroom, trying to make sense of the exercises related to the set of integers. A qualitative and experimental methodology was used, as well as a bibliographical one, having as main theorists researched: Mantoan (2006); Laplane and Batista (2008), Uliana (2003); Groenald, Silva and Mora (2004); Silva (2012) and Lorenzato (2006). It is hoped that this work as a guiding element in teaching math for the visually impaired and inspire further research into teaching as a whole.
Dando sentido a equações do segundo grau a partir do uso do material dourado
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2022-07-29) Almeida, Igor Carlos Alvim de; Siqueira, Anderson Rangel Batista; http://lattes.cnpq.br/8130778140721340; Castro, Diogo Meurer de Souza; http://lattes.cnpq.br/6863749871487154; Santos, Givaldo Oliveira dos
In this present work, applied at Theonilo Gama State School, located in the Jacintinho neighborhood in Maceió-AL, where I participated in the Pedagogical Residency program by the Federal Institute of Alagoas (IFAL), Maceió campus. In classes “A” and “D” of the 3rd grade of high school, we are going to demystify the difficulty that some students had when faced with the subject of high school equations, in which the covid-19 pandemic classes at school were very affected and these students had great difficulty in solving both first and second degree equations. In order to resolve the doubts on the subject, we used the golden material to apply and solve the quadratic equations, in which another possibility of finding the roots of polynomials was demonstrated, associating the algebraic part with the geometric part, through the manipulation of this object. Through the use of this instrument, it was possible to develop the skills and abilities necessary to understand the relationships discussed in the classroom and to find roots of a quadratic equation, as well as the sides of a rectangle formed by the pieces of golden material. Hence, the reflections on the development of the algebraic structure in the geometric construction made in the classroom, where using manipulative materials for teaching and learning helps to understand the meanings and solve problem- situations.
Educação financeira nos anos finais do ensino fundamental: um guia didático
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2022-12-08) Coelho, Elis Lima; Castro, Diogo Meurer de Souza; http://lattes.cnpq.br/6863749871487154; Brasileiro, Regina Maria de Oliveira; http://lattes.cnpq.br/4146119273576569; Henriques, Lucas De Stefano Meira; http://lattes.cnpq.br/3599382596501988
Financial education is internationally considered a vital part of the basic education of citizens able to fulfill their rights and duties in society. National indicators point to gaps in the training of Brazilian citizens regarding their financial literacy, whilst international bodies point out that the economic health of a country is associated with the level of financial education of its population. However, the presence of this topic in the National Common Curricular Base as a suggested content is slim. The present work seeks to link contents already covered in the Mathematics curriculum of the final years of elementary school to themes of financial education. For this purpose, a bibliographic research was carried out on financial education and the production of educational products. Finally, there was the construction of a teaching guide containing four formative tracks that deal with themes already present in the mathematics curriculum using financial education as a scenario for the activities.
Equações diferenciais ordinárias de segunda ordem: uma abordagem analítica e com o software GeoGebra
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-11-30) Lima, Jonathan Willams Lins de Ataide; Lima, Leon Cavalcante; http://lattes.cnpq.br/7616688310117461; Nascimento, Arlyson Alves do; http://lattes.cnpq.br/9395417554768580; Silva Júnior, Rinaldo Vieira da; http://lattes.cnpq.br/9156830519836354; Melo, Enaldo Vieira de; http://lattes.cnpq.br/1041528154664700
Models involving Ordinary Second Order Differential Equations are present in several problems in various areas of Exact and Earth Sciences, through applications in fluid mechanics, heat conduction, electrical circuits and electromagnetic phenomena. In this sense, the present work presents a study on these equations, covering the fundamental concepts of first-order to second-order equations. Throughout the development of the work, with the exception of the analysis via GeoGebra, the independent variable was time, so that we could also cover Physics students, considering that in general all physical models are based on this parameter. For the application, we brought two problems involving mathematical modeling, the first being a model for detecting diabetes and the other involving a series circuit RLC. Initially, we carried out an analytical analysis of the two problems, detailing how all the calculations were made, and the other was carried out using a applet created in software GeoGebra during a technological initiation project developed at Instituto Federal de Alagoas - Campus Maceió, with the aim of students being able to combine the theoretical part with the practical part. Understanding the solution methods is an important step during the process of teaching and learning differential equations, considering that it was only possible to develop this interactive window by understanding how these methods work. We concluded, from the analysis of the problems, that the use of technology aimed at education provides students with a new learning environment through interactivity and experimentation with different scenarios.
Geometria analítica: panorama histórico e algumas aplicações
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-11-07) Tenório, Marcos José da Silva; Silva, Rosivaldo Pereira da; http://lattes.cnpq.br/8652133702306422; Nascimento, Arlyson Alves do; http://lattes.cnpq.br/9395417554768580; Lopes, Rafael do Sacramento; http://lattes.cnpq.br/2775224211896509
Analytical geometry is the area of mathematics that studies geometric structures from an algebraic perspective in which its studies are used in contexts involving coordinates. Some historians of mathematics credit René Descartes with the discovery of analytical geometry. Starting from this brief context, this work aimed to historically address the emergence and evolution of Analytical Geometry and its implications for the construction and development of mathematical knowledge. As a methodology, there is a bibliographical review carried out through books and studies available in databases, which initially reveals the importance of analytical geometry as a curricular component of undergraduate courses in the exact sciences, such as Engineering, Computer Science, and of Mathematics, in addition to its relevance as a necessary tool for Differential and Integral Calculus and being one of the main references in a first linear algebra course. As Analytical Geometry originated in the midst of problems faced by humanity, such as the discovery of irrational numbers, incommensurable numbers, Zeno's paradoxes, the method of exhaustion, the idea of continuity, philosophical questions and religious beliefs, it is considered to be It is important that the teaching of analytical geometry permeates historical events, proposing the proposal to build knowledge and not just solve algorithms.
A multiplicação dos números racionais: um estudo de caso no 6 ano de escolaridade de uma escola em Portugal
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2019-01-18) Tenório, Jamilly Souza; Santos, Givaldo Oliveira dos; Nunes, Hugo Santos; http://lattes.cnpq.br/4304337631466259; Oliveira, Elisabete Duarte; http://lattes.cnpq.br/7781886522973384; Silva, Gilmar Teodósio
Understanding a series of rational data in the classroom becomes a complex and difficult study. The discipline of mathematical concepts such as strategies or forms of teaching more heavily dependent on context is the student is embedded. Thus, the work is aimed at people with disabilities in the area of non negative rational data. Like methodological attention, the research is qualitative and was given in a group of 6th year of schooling in Bragança - Portugal, through an International Mobility program, a partnership between Brazil and Portugal. As the main instrument of data analysis, a sequence of six tasks was used, each one with its exploration strategy. In verifying students’ resolutions, we identify the errors and difficulties most often associated with the lack of resources in the definition of a rational number or lack of a methodological teaching resource. In the scope of the analysis of rational indicators in Portugal, the teaching-learning needs of teaching-learning were investigated
Prancha para gráficos: uma ferramenta didática para o ensino de função Afim
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-10-31) Santa Bárbara, Mirian Andreza Rosa de; Santos, Vívia Dayana Gomes dos; http://lattes.cnpq.br/2740547167333947; Nascimento, Arlyson Alves do; http://lattes.cnpq.br/9395417554768580; Santos, José Roberto Nunes dos; http://lattes.cnpq.br/2776939893721016
Manipulative materials allow students to understand mathematical concepts in a more visible way, building knowledge in an active and collaborative way, developing socio- emotional skills, creativity and autonomy. And as a general objective of the study, we sought to present an analysis of the use of manipulable teaching material to teach Related Function, aiming to provide students with more meaningful and dynamic learning. And as a guiding question for the study, we ask: How to improve the teaching and learning of Affine Function in the mathematics discipline using Graphics Boards as manipulable teaching material? The teaching material used in our research was the Graphic Board, a material designed and developed during the Mathematics Teaching Laboratory V subject, offered in the Mathematics Degree course at IFAL Maceió. The study presents a bibliographical and field review on the possibilities and diversity of manipulable materials for Mathematics Teaching, along with a proposal on how to use the board for graphics in the classroom. The proposal was applied to a 1st year class of Integrated Technical High School, at the Federal Institute of Alagoas (IFAL), Maceió campus, in order to analyze the benefits that activities with manipulable materials offer. Using this manipulative material to teach Affine Function brings numerous advantages for students, in addition to providing more interesting and engaging learning. In view of this, it was found that with the use of this manipulable resource, the teaching and learning process of the Related Function became much more dynamic and participatory, allowing students to understand the content in a pleasurable way and with greater ease.
Quatérnions de rotação e como usa-lós
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-04-24) Silva, Roberto Nilton Bento da; Nascimento, Arlyson Alves do; http://lattes.cnpq.br/9395417554768580; Nunes, Hugo Santos; http://lattes.cnpq.br/4304337631466259; Silva, Elaine Cristine de Souza; http://lattes.cnpq.br/1664133162526091
Rotation quaternions are a mathematical tool used to represent 3D rotations and can be compared to complex numbers, but with an extra dimension. They possess useful properties such as the ability to describe rotations around any axis and the ability to combine rotations using multiplication. Therefore, they are widely used in applications such as computer games, animation, and robotics. In this work, we will provide an introduction to rotation quaternions, how they are similar to complex numbers, and how they can be used in rotation calculations.
Relações métricas no triângulo retângulo: abordagem histórica e uma proposta de ensino utilizando-se material didático manipulável
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-10-10) Silva, Josivan Amorim da; Santos, Carlos Alberto Silva dos; http://lattes.cnpq.br/0652008937509693; Santos, Vívia Dayana Gomes dos; http://lattes.cnpq.br/2740547167333947; Santos, Carlos Alberto Silva dos; http://lattes.cnpq.br/0652008937509693; Silva, Rosivaldo Pereira da; http://lattes.cnpq.br/8652133702306422
The purpose of this study is to present a brief historical approach to the Pythagorean Theorem and its metric relations, who derive from it, and to present a didactic proposal using manipulative didactic material. Understanding of concepts related to metric relations, through the interaction of geometric construction with algebraic development. Difficulties related to solving mathematical problems in basic education are known. It is believed that the lack of understanding of basic concepts is defining when it comes to learning. In this line of reasoning, the interaction between algebraic development and geometric construction will be used, seeking to understand specific theorems related to metric relations of the right triangle and their applications in everyday life. In our discussion, we will emphasize the metric relationships and the existing relationship between the square of the leg and the product of the hypotenuse by the projection of that leg, always seeking to highlight the concept of area, due to its importance in solving practical everyday problems. We aim for this approach to facilitate, both students and teachers, the understanding of the geometric concepts that determine these relationships and not rely only on ready-made “formulas”. It is hoped that our discussion can provoke reflections in relation to the teaching practice of future mathematics teachers. And that will also contribute to the differentiated training of undergraduate students in Mathematics, collaborating with a closer relationship with the academic reality of the students.
Tábua de Pitágoras e a configuração retangular: uma proposta para o ensino do campo multiplicativo para deficientes visuais.
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2018-08-30) Correia, Sérgio Ferreira; Costa, Camila Lima; http://lattes.cnpq.br/9063276283873811; Oliveira, Elisabete Duarte de; http://lattes.cnpq.br/7781886522973384; Silva, Luiz Galdino da; http://lattes.cnpq.br/6511974471336575
The present paper presents a proposal to build a mechanism that can contribute to the process of inclusion of the visually impaired in mathematics classes. Students with some visual limitation may have difficulties in learning if they are not submitted to didactic resources that can contribute to the understanding of the contents presented in the classroom. Therefore, it is up to the teacher to include the student in his class, adapting the activities to the difficulties of each one. The process of teaching and learning mathematics to students with visual impairment or low vision brings with it the need to work with materials that can be manipulated. The objective of this work is to develop a Manipulable Teaching Material that can aid in the process of inclusion of students with visual impairment, aiming to give meaning to the concepts related to the multiplicative field, associating it with the Rectangular Configuration method. In order to do so, we sought the foundations of Baumel's (2003) studies on materials and resources in education for the visually impaired, Carvalho's contribution (1998) regarding Inclusive Education and Lorenzato's ideas (2009) using the MDM ) as a representative element of the problem situation. The need for this proposal is to stimulate initiative, creativity, sociability and, at the same time, to develop the sense of responsibility and objectivity of the educator.
O TANGRAM enquanto material didático para o aprendizado de conceitos e cálculo de área no ensino de matemática
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2010-01-31) Santos Neto, Adelmo Francisco dos; Brasileiro, Regina Maria de Oliveira; http://lattes.cnpq.br/4146119273576569; Oliveira, Elisabete Duarte de; http://lattes.cnpq.br/7781886522973384; Rodrigues, Gracino Francisco; http://lattes.cnpq.br/6448071433328182
The use of instruments that play a role in teaching are quite important, for several reasons, among them, the motivation they cause in the student. As a strategy for this, one can employ pedagogical games, bringing the subject closer to the scientific content. Among the games used can be mentioned the Tangram. For the analysis will be used the interaction between algebraic development and geometric construction, through the use of the game TANGRAM relating the concept and the calculation of areas of flat figures. The study aims to analyze the use of the game "TANGRAM" as a didactic resource in teaching learning in the concept and in the calculation of area of flat figures. As for the method, it is a qualitative research, through the application of a questionnaire, the technique is the case study. The subjects of the research are students of the 6th year of elementary school Ana Coelho Palmeira State School Teacher. It is concluded that the gameTangram actually helps, as it assists the student in thinking about how to work out the resolution of the question, through observation. Therefore, in the study, some deficiencies in the use of the game can not be detected, and the student can not identify the areas of the figures, among others, so that if they perceive defictis in learning in the mathematical discipline, how not to apply the sequence to solve the question , suggested by some authors in this study when dealing with problem solving.
Teorema de Tales: uma proposta didática envolvendo a história da matemática
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-06-07) Melo, Lucas de Almeida; Santos, Vivia Dayana Gomes dos; Siqueira, Anderson Rangel Batista; Silva, Tiago Marinho da
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A Teoria matricial dos Grafos
(Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-03-27) Silva, Gisele Costa da; Nunes, Hugo Santos; http://lattes.cnpq.br/4304337631466259; Nascimento, Arlyson Alves do; http://lattes.cnpq.br/9395417554768580; Castro, Diogo Meurer de Souza; http://lattes.cnpq.br/6863749871487154
In recent years, much attention has been devoted to a relatively new area of mathematical research called graph theory. Graphs are useful for studying how components of networks that arise in commerce, the social sciences, medicine, and other areas interrelate. For example, graphs are useful for studying the spread of a contagious disease or a network of commercial flights serving a number of large cities. Graph theory is a very broad topic. In this work, only a few definitions will be presented and the close relationship between graph theory and matrix theory will be shown.

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