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Item O efeito transformador das atividades lúdicas nas aulas de matemática(Universidade Federal de Goiás, 2014-09-26) Bispo, Leandro Pinto; Chaves, Rogerio de Queiroz; http://lattes.cnpq.br/2029572406153004; Chaves, Rogerio de Queiroz; Silva, Sílvia Cristina Belo e; Santos, Maria Bethânia Sardeiro dosThis work aims to analyze the results of the use of challenges and tricks based on mathematical principles as a motivational method in high school classroom. The activities contain elements that help to improving concentration, stimulate thinking ability, arouse interest in mathematics classes and thus increase participation of the students in the classroom. Each activity is described in detail, including a summary of its mathematical content, the average classroom time required, as well as a suggestion on how to perform it in class. Besides the direct assessment of the results by the teacher, a more objective evaluation of the e ects of these activities on the student's perception and attitude towards mathematics and its study was made by means of questionnaires answered by the students before and after the development of the project. Analysis of the data from the answers is also presented.Item Óptica geométrica em uma perspectiva matemática(Universidade Federal de Goiás, 2015-11-27) Guimarães Netto, Manoel Nunes do Couto Guimarães; Chaves, Rogerio de Queiroz; http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4798022E6; Chaves, Rogerio de Queiroz; Souza, Flávio Raimundo de; Souza, Mário José deDuring high school optical geometry's studies, teachers of physics imagine that their students have complete knowledge about basic concepts of plane geometry. So, Brazilian high school physics' books do not use mathematical full explanations. Many times these explanations are not known even by the high school teachers themselves. This is one of the reasons responsible for optics' lack of teaching skills in Brazilian educational system. To try to improve optical geometry teaching skills, this work proposes a mathematical theory applied to optics. To do that, this paper will detail basic concepts and theoretical explanations about mathematics. In resume, through our research, high school students would learn optical geometry without necessity to memorize physics' formulasItem Metodos geométicos para otimização no ensino médio(Universidade Federal de Goiás, 2013-07-19) Lima, Robison Luiz Alves de; Chaves, Rogerio de Queiroz; http://lattes.cnpq.br/2029572406153004; Silva, Rosângela Maria da; Santos, Walter Batista dosThis present study aims to awake and to encourage teachers for a teaching methodology that promotes more participation of the students in the Mathematics classes. This study presents Geometry Optimization Methods and also delineates some issues in the high school environment. In the _rst part, it presents some geometrical results in order to support solving maximum and minimum problems. Among the geometrical tools explored in this study to minimize distances we use the Triangle Inequality and some of its implications. In order to maximize areas we employ some characteristics of isosceles triangles and to maximize an angle we take advantage of some properties of angles whose sides intersect a given circle. The methods presented are, then, applied in solving many interesting optimization problems some of which are classical. At the end of the study some additional optimization problems are proposed in order to encourage further explorations within the context of the methods presented in the previous sections.Item Aplicações do princípio de Cavalieri ao cálculo de volumes e áreas(Universidade Federal de Goiás, 2013-02-28) Lula, Kariton Pereira; Chaves, Rogerio de Queiroz; http://lattes.cnpq.br/2029572406153004; Chaves, Rogerio de Queiroz; Souza, Flávio Raimundo de; Silva, Rosângela Maria daIn elementary mathematics teaching, it often occurs that some subjects are presented without proper justi cation or without a coherent logical construction that makes sense of those subjects and ideas in a wider context. The calculation of areas and volumes is an example of a subject in which these shortcomings are usually present. In this work, we present a model for the gradual development of the ideas involved in the calculation of volumes, in a way that is, at once, well justi ed and approachable by the average student at this stage. In order to achieve that, we make extensive use of the Cavalieri Principle, which allows not only an adequate justi cation of the expressions for the volume of cylinders, cones or spheres, but also the calculation of volumes of other shapes, such as parts of the sphere, ellipsoids and paraboloids. We conclude with an interesting application of the Cavalieri Principle to calculate the area of a parabolic segment and then give a demonstration of Archimedes' theorem.Item Teoria econômica dos jogos e o ensino médio(Universidade Federal de Goiás, 2017-03-27) Oliveira, Davi Lessa de; Chaves, Rogerio de Queiroz; http://lattes.cnpq.br/2029572406153004; Chaves, Rogerio de Queiroz; Rodrigues, Paulo Henrique de Azevedo; Leandro, Bianka CarneiroThis work focuses on presenting the basic elements of the Economic Theory of Games in a way that is suitable for exposition at the mathematical level of high school education in Brazil. With that in mind, the work covers a brief historical context of the subject, classic games of Economic Theory of Games, what are pure and mixed strategies, methods of systematization, the concept of solution, methods to find solutions and, at the end, we suggest a Mathematical Workshop on Economic Theory of Games as a way to introduce the subject to high school students.