Uma justificava da validade do teorema fundamental da álgebra para o ensino médio

Among several theorems which are taught in basic education some of them can be proved in the classroom and others do not, because the degree of difficulty of its formal proof. A classic example is the Fundamental Theorem of Algebra which is not proved, it is necessary higher-level knowledge in mathematics. In this paper, we justify the validity of this theorem intuitively using the software Geogebra. And, based on [2] we will present a clear formal proof of this theorem that is addressed to school teachers and undergraduate students in mathematics

História da matemática e teatro nas aulas sobre Teorema de Tales: um script proposto

This study will present the results of an investigation of how the history of mathematics and theater can contribute to the construction of mathematical knowledge of students in the 9th year of elementary school, through the experience, preparation and execution of a play, beyond presentation of the script. This brings a historical approach, defining space and time of events, putting the reader and viewer to do the route in the biography of Thales of Miletus (624-546 a.C), creating situations that led to the study and discussion of the content related to the episode possible to measure the height of the pyramid Khufu and the Theorem of Thales. That said, the pedagogical proposal implemented in this work was based on theoretical and methodological assumptions of the History of Mathematics and Theatre, drawing upon authors such as Mendes (2006), Miguel (1993), Gutierre (2010), Desgrandes (2011), Cabral (2012). Regarding the methodological procedures used qualitative research because it responds to particular issues, analyzing and interpreting the data generated in the research field. As methodological tools we have used participant observation, the questionnaire given to the students, field diary and dissertativos texts produced by students. The processing and analysis of data collected through the questionnaires were organized, classified and quantified in tables and graphs for easy viewing, interpretation, understanding and analysis of data. Data analysis corroborated our hypothesis and contributed to improving the use and display of the play as a motivating activity in mathematics classrooms. Thus, we consider that the script developed, ie the educational product proposed will bring significant contributions to the teaching of Mathematics in Primary Education

O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

Biblioteca digital de teses e dissertaçoes: uma referência fundamental

OLIVEIRA, Raimundo Muniz de. Biblioteca digital de teses e dissertaçoes: uma referencia fundamental. In: CINFORM ENCONTRO NACIONAL DE ENSINO E PESQUISA DA INFORMAÇAO,HUMANISMO E DESENVOLVIMENTO CIENTIFICO E TECNOLOGICO,7.,2007,Salvador. Anais...Salvador:UFBA, 2007.Disponivel em:www.cinform.ufba.br>. Acesso em: 27 set. 2007. Acesso em: 27 set. 2010.

O discurso expositivo escrito no ensino fundamental: um enfoque cognitivista e seus desdobramentos didáticos

PASSEGGI,Luis Álvaro Sgadari. O discurso expositivo escrito no ensino fundamental: um enfoque cognitivista e seus desdobramentos didáticos. Revista do GELNE, Fortaleza, v.4, n.1, p. 122-124, 2002.

Os paradoxos de Prior e o calculo proposicional deôntico relevante E¹.

Cruz, Ângela Maria Paiva. Os paradoxos de Prior e o cálculo proposicional deôntico relevante. Princípios, Natal, v. 4, p. 05-18, 1996.

Análise fractal da vasculatura retínica: métodos de segmentação e de cálculo dimensional

Embora tenha sido proposto que a vasculatura retínica apresenta estrutura fractal, nenhuma padronização do método de segmentação ou do método de cálculo das dimensões fractais foi realizada. Este estudo objetivou determinar se a estimação das dimensões fractais da vasculatura retínica é dependente dos métodos de segmentação vascular e dos métodos de cálculo de dimensão. Métodos: Dez imagens retinográficas foram segmentadas para extrair suas árvores vasculares por quatro métodos computacionais (“multithreshold”, “scale-space”, “pixel classification” e “ridge based detection”). Suas dimensões fractais de “informação”, de “massa-raio” e “por contagem de caixas” foram então calculadas e comparadas com as dimensões das mesmas árvores vasculares, quando obtidas pela segmentação manual (padrão áureo). Resultados: As médias das dimensões fractais variaram através dos grupos de diferentes métodos de segmentação, de 1,39 a 1,47 para a dimensão por contagem de caixas, de 1,47 a 1,52 para a dimensão de informação e de 1,48 a 1,57 para a dimensão de massa-raio. A utilização de diferentes métodos computacionais de segmentação vascular, bem como de diferentes métodos de cálculo de dimensão, introduziu diferença estatisticamente significativa nos valores das dimensões fractais das árvores vasculares. Conclusão: A estimação das dimensões fractais da vasculatura retínica foi dependente tanto dos métodos de segmentação vascular, quanto dos métodos de cálculo de dimensão utilizados

Política pública e educação digital no ensino fundamental em Natal/RN: análise de eficácia da atuação dos objetivos do Proinfo Municipal

The present work turns on the public politics of digital inclusion and of the impact of the Technologies of the Information and Communication in the formation of the citizenship. For this, it was opted for doing an analysis of effectiveness of the performance of the objectives of the Proinfo (National Program of Computer Science in the Education) municipal district of Natal-RN. As instrument of collection of data, three types of questionnaires were used. The collected data were analyzed and discussed starting from it analyzes it descriptive of averages and analyze of multiple regression. The results of the research pointed that the teachers and the students use the computer science in a restricted way. On the other hand, the digital education is not still totally contemplated in the schools beneficiaries' digital rérumé by Proinfo municipal and thus, the inefficacy of the program was verified with relationship the educational training and the students' digital inclusion

Práticas sócio-ambientais no espaço escolar: uma reflexão sobre a percepção dos usuários de duas escolas do ensino fundamental em João Pessoa, Paraíba

In the social-historical moment we live in, it is each time more evident the necessity of the people to learn to deal with the environment in conscientious way, taking care of themselves properly through it. In this direction, considering the school as a place where children, young and adolescents spend great part of their time, this work had as objective to examine the perception of school environment for students, professors and employees of two schools in João Pessoa city - Centro Estadual Experimental de Ensino-Aprendizagem Sesquicentenário and Escola Estadual de Ensino Fundamental e Médio Presidente Emílio Garrastazu Médici (Experimental State Center of Learning-teaching Sesquicentenário and Basic and High State School Education Emilio Garrastazu Médici President). From the presupposed that the environments in which and with which people live reflect their daily practices, the field work searched to identify the social-environmental practices that characterize the relation of these users with the school and, from this understanding, to infer some of their concerns regarding the environment as a whole. To analyze the use of the available physical space in the two institutions it was opted the use of the After-Occupation Evaluation, one of the approaches that feed the process of building production or built set, rescuing aspects related to its use, operation and maintenance. Besides analyzing diverse school environments (such as classroom circulations/accesses, library, pedagogical and sportive spaces) in relation to the environmental comfort and the perceptions of the main users of the schools (pupils, professors and employees), the dissertation tried to inquire the care (ambient education) of these users with the school space. In general, it was verified that the two schools have evaluations and perceptions really different for four reasons: (i) management of the schools; (ii) the users perception; (III) localization of schools and (IV) feeling of place, territoriality and appropriation

Um Modelo híbrido para previsão de curvas de produção de petróleo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

A influência do tempo de diálise e do paratormônio sobre as condições clínico-radiográficas bucais de indivíduos com insuficiência renal crônica em diálise

Universidade Estadual do Rio Grande do Norte

A concepção de professores do ensino fundamental (1ª e 4ª) sobre a saúde do escolar

Com a criação dos Parâmetros Curriculares Nacional (PCNs), a saúde passou a ser um tema transversal que deve ser trabalhado por todos os níveis de ensino em toda a escola, principalmente pelos professores do ensino fundamental, os quais têm uma grande responsabilidade no processo de formação dos valores e de condutas dos escolares. Com o objetivo de investigar a concepção dos professores de ensino fundamental (1ª a 4ª séries) sobre a saúde do escolar, este estudo teve como amostra 45 professoras lotadas em 04 escolas públicas e 04 escolas privadas no município de Natal/RN. Para a coleta dos dados foi utilizado um questionário semi-estruturado, sendo os mesmos analisados por meio da análise temática. A faixa etária com maior prevalência foi a superior a 40 anos, com 58% de professoras. Com relação ao grau de formação acadêmica das docentes investigadas, 47% delas tem o terceiro grau completo e, 40% possuem apenas formação no magistério. No que se refere ao tema transversal saúde, 27% das professoras não realizaram estudos sobre o mesmo e, 40% das docentes não se sentiam preparadas para desenvolver esse conteúdo, apontando como principal fator limitante à falta de conhecimento mais profundo sobre saúde e a falta de material didático adequado. Sobre a importância em se trabalhar a saúde, 29% das respostas referiram-se aos cuidados com a saúde, e 20% em prevenir e conhecer doenças. Pode-se concluir que é necessária uma capacitação específica referente à temática em questão, o que deve ser acompanhada de políticas públicas que incentivem o profissional da educação e ofereça estrutura ao ambiente escolar

O direito social fundamental de acesso à energia elétrica e a atuação estatal

Electrical energy today is an essential element in the life of any human being. Through the access to electrical energy it is possible to enjoy dignified conditions of life, having in mind the possibility of making use of minimal material conditions of life. The lack of access to electricity is directly linked to poverty and degrading conditions of life, in which are some communities in Brazil, especially the more isolated from urban centers. Access to the electric service is a determining factor for the preservation of human dignity, constitutional principle inscribe in the art.1 of the Federal Constitution, and the promotion of development, being a right of everyone and a duty of the State to promote universal access. For that reason, focuses mainly on the analysis of their setting as a fundamental social right and its importance for national development. For this, the theoretical and descriptive method was used, with normative and literary analysis, in particular the Constitution of 1988. This study also discusses the form of action of the State in the energy sector, to give effect to the fundamental social right of access to electricity, the characteristics of public service and the principles that guide it, in addition to the role of public policies in universalization of access, in particular the analysis of the Program Luz para Todos, and the function of regulation in the implementation of these policies and the provision of adequate public services.

Direito fundamental ao tempo razoável do processo judicial: limites e possibilidades de concretização no ordenamento jurídico pátrio

This dissertation aims to address the limits and possibilities of realizing the fundamental right to reasonable time of the Brazilian legal system process. From this perspective, we analyze a reasonable time concept for the process, consistent with the civil homeland process; the relationship between efficiency, effectiveness, legal security and reasonable time of adjudication; a formal recognition of the fundamental right to reasonable time of the procedure in the Constitution of 1988; and the immediate applicability of this fundamental right. As indicated, the crisis of the Judiciary and procedural delay are problems directly related to the limits and possibilities of realization of the fundamental right under study. Moreover, we also present some mechanisms that can be used to overcome these problems. The subject was developed based on constitutional interpretation of fundamental rights, an approach that will always have this concern to be based on a methodology which includes the normative and empirical-dogmatic fields, realizing the fundamental right to reasonable time of the process. We adopted as methodological approach the study of this issue in judicial aspect, more specifically in the field of civil procedure. Finally, we weave through a critical and analytical view, our conclusions, which demonstrate the possibilities of overcoming the limits imposed to immediate implementation of the fundamental right to reasonable time of the process in our legal system