Números complexos: uma proposta de mudança metodológica para uma aprendizagem significativa no ensino médio

This work presents a proposal of a methodological change to the teaching and learning of the complex numbers in the Secondary education. It is based on the inquiries and difficulties of students detected in the classrooms about the teaching of complex numbers and a questioning of the context of the mathematics teaching - that is the reason of the inquiry of this dissertation. In the searching for an efficient learning and placing the work as a research, it is presented a historical reflection of the evolution of the concept of complex numbers pointing out their more relevant focuses, such as: symbolic, numeric, geometrical and algebraic ones. Then, it shows the description of the ways of the research based on the methodology of the didactic engineering. This one is developed from the utilization of its four stages, where in the preliminary analysis stage, two data surveys are presented: the first one is concerning with the way of presenting the contents of the complex numbers in math textbooks, and the second one is concerning to the interview carried out with High school teachers who work with complex numbers in the practice of their professions. At first, in the analysis stage, it is presented the prepared and organized material to be used in the following stage. In the experimentation one, it is presented the carrying out process that was made with the second year High school students in the Centro Federal de Educação tecnológica do Rio Grande do Norte CEFET-RN. At the end, it presents, in the subsequent and validation stages, the revelation of the obtained results from the observations made in classrooms in the carrying out of the didactic sequence, the students talking and the data collection

Uma análise dos questionamentos dos alunos nas aulas de números complexos

This work presents a contribution for the studies reffering to the use of the History of Mathematics focusing on the improvement of the Teaching and Learning Process. It considers that the History of Matematics, as a way of giving meaning to the discipline and improve the quality of the Teaching and Learning Process. This research focuses on the questions of the students, classified in three categories of whys: the chronological, the logical and the pedagogical ones. Therefore, it is investigated the teaching of the Complex Numbers, from the questions of the students of the Centro Federal de Educação Tecnológica do Rio Grande do Norte (Educational Institution of Professional and Technology Education from Rio Grande do Norte). The work has the following goals: To classify and to analyse the questions of the students about the Complex Numbers in the classes of second grade of the High School, and to collate with the pointed categories used by Jones; To disccus what are the possible guidings that teachers of Mathematics can give to these questions; To present the resources needed to give support to the teacher in all things involving the History of Mathematics. Finally, to present a bibliographic research, trying to reveal supporting material to the teacher, with contents that articulate the Teaching of Mathematics with the History of Mathematics. It was found that the questionings of the pupils reffers more to the pedagogical whys, and the didatic books little contemplate other aspects of the history and little say about the sprouting and the evolution of methods of calculations used by us as well

Esboço de Leonardos: a experiência da forma integrada de ensino profissional do CEFET - PA

Ao investigar a interação curricular entre ensinos médio e técnico na forma integrada do curso de Mecânica do Centro Federal de Educação Tecnológica do Pará (CEFET-PA) tem como pressuposto que adotar a forma integrada legislada pelo Decreto n°. 5.15412004 apresenta potencialidade, mas não garantia do desenvolvimento do Ensino Integrado (EI). Por meio do aprofundamento das origens e significados dos termos integração, articulação e integralidade demonstra as diferenças entre essas palavras geralmente usadas como sinônimas para definir a relação entre ensino médio e técnico e que, na verdade, defendem projetos diferentes de formação. Desenvolve concepções de educação integrada e/ou integral ao identificá-Ia em vários períodos da educação brasileira como bandeira de formações distintas e com elementos curriculares díspares para enfatizar a necessidade de clareza na educação adjetivada de integrada. Opta pelo termo integrado (a) para qualificar ensino e formação que buscam superar dicotomia trabalho manual/trabalho intelectual pelo princípio do trabalho, ciência e cultura fundamentados pela filosofia da práxis. Trata brevemente da dualidade histórica das políticas públicas para a educação detendo-se na construção da Lei de Diretrizes e Bases da Educação (LDB) n° 9.394/1996 e suas regulamentações para a educação profissional em especial nas condições de legitimação da forma integrada. Identifica na legislação, em textos orientadores e no Documento Base da Educação Profissional de nível médio integrada ao Ensino Médio as orientações curriculares para a forma integrada na perspectiva do Ensino Integrado. Dessas orientações destaca: o princípio educativo do trabalho, a ciência e a cultura, desdobrados em trabalho de pesquisa, tecnologia e arte, a participação dos atores da educação na elaboração do currículo e a coerência com o projeto político pedagógico da escola. Estes destaques subsidiam a pesquisa em documentos e entrevistas com gestores, pedagogos e professores do Ensino Médio e técnico de Mecânica na forma integrada do CEFET -PA. O curso de Mecânica, cuja implantação ocorreu sob a Lei n°. 5.692/1971, posteriormente reformulado na Reforma da Educação Profissional de 1997, elaborou o projeto piloto da forma integrada do Centro, portanto, apresentava as melhores condições para a pesquisa. A pesquisa evidencia na recepção e oferta de turma elementos de construção curricular da forma integrada, em especial o plano de curso piloto de Mecânica integrada ao ensino médio, que esse curso estruturou-se pela visão da forma integrada como retomo do ensino profissionalizante da Lei n°. 5.692/1971. Essa impressão tendenciou o curso integrado de Mecânica ao pragmatismo e distanciou educação profissional (EP) e ensino médio (EM) ao dar mais importância às disciplinas técnicas e buscar utilizar certas disciplinas do ensino médio como instrumentalizadoras para formação técnica enquanto outras, tidas como distantes dessa, foram isoladas. Tal situação adveio do pouco referencial legal e teórico do campo, desconhecimento entre áreas, devido a pouca participação da comunidade, e planejamento dos professores isolado e formalista, todos frutos e sementes das dificuldades de planejamento pedagógico e administrativo em uma instituição fragmentada. Portanto, o curso integrado de Mecânica/2005, baseado em um projeto dual e pragmatista, forma trabalhadores sem o desenvolvimento e envolvimento do Ensino Integrado.

Desempenho de um hidrociclione de geometria rietema como pré filtro para sistemas de irrigação

Pós-graduação em Agronomia (Produção Vegetal) - FCAV

Perda de carga em reduções concêntricas de PVC

In the pumping pipelines the located load losses are very important since they have direct influence on hydraulic design of an irrigation system, especially regarding the concentric reducers used in the distribution lines. Hence this work was conducted in the Laboratório de Hidráulica do Centro Federal de Educação Tecnológica de Uberaba. We analyzed 03 concentric reducers PVC 75 x 50 mm, 50 mm and 35 x 35 x 1 "operating at different flow rates. The performance of the tests with the variation of flow in every situation possible to obtain equations to estimate the loss. The equation models presented a high setting, thus enabling the determination of the localized head loss in a situation closer to field reality. For the reduction of 75 x 50 x 35 mm and 50 mm at a flow rate 16.97 m³ h-1 the pressure drop reduction was obtained respectively 0.9263 and 2.7408 mca. To the reduction of 35 x 1 "at a flow rate of 6.02 m³ h-1 was obtained 2.9304 mca pressure drop reduction. The located losses produced by these reductions are relatively high and should be considered with great discretion in hydraulic design of the irrigation system.

Concepções de formação profissional técnica de nível médio adotadas pelo IFRN: especificidades e (des)continuidades

The thesis deals with the concepts of technical tra ining of middle level adopted by the Federal Institute of Education, Science and Technology of R io Grande do Norte (IFRN). Discusses these concepts from the four political-pedagogical projects built in the period 1970 to 2010, spanning three institutionalities: Federal Technica l School of Rio Grande do Norte (1970- 1998), Federal Center of Technological Education of Rio Grande do Norte (1999-2008) and IFRN (from 2008) as well as three important politic al contexts of the country: Civil-Military Dictatorship, New Republic and Period of neoliberal ideas in Brazil. The goal is to analyze the configuration of the conceptions of training adopte d in the political-pedagogical projects IFRN, with emphasis on the specificities and (dis) contin uities, placing them in the context of political, economic and educational change in development in t he country. Addresses the relationship work, education and human development in capitalist society, in order to grasp the concept of employee training engendered by that company as wel l as the possibility of a counter- hegemonic formation. We analyze the formation of mi d-level concepts outlined in the educational reforms implemented in the country. We investigate the concepts of training outlined in the political-pedagogical projects IFRN . Makes use of the historical-dialectical materialism, the literature review, the documentary research and interviews were conducted with subjects who participated in the working group coordinator of the drafting of the political- institutional educational projects. The results sho w that the training of workers in capitalist society has a unilateral character; that the traini ng required by the working class is the omnilateral training; that the formative ideas that permeated the educational reforms in the country between 1970 and 2010 were all envisaged by unilateral training; that, in certain contexts, conceptions of technical training medium level outlined in the political-pedagogical projects IFRN reflect the formative perspectives th at guide educational reforms in the country (unilateral training) and, at other times, the inst itution adopts concepts (training omnilateral) that are not consistent with such prospects; and th at between the political-pedagogical projects built from 1970 to 2010 there are more continuities than breaks in relation to the concepts of training adopted. We conclude that the challenge is to institutionalize the IFRN their educational actions omnilateral designing training undertaken in the political-pedagogical project 2009.

A escola como lócus de produção e reprodução de normas: apropriação de políticas oficiais em uma unidade do CEETEPS

Pós-graduação em Educação - FFC

Educação matemática e totalidade: um estudo crítico epistemológico

Pós-graduação em Educação Matemática - IGCE

A gestão democrática em uma escola de educação de jovens e adultos

This paper addresses the democratic school management within the school organizations. For this, initially made brief remarks on labor relations, the development of administrative and organizational theories. Later, we reflect on how the se labor relations are organized in the educational environment and what education theoretical contributions to the development of school management in Brazil. Therefore, we discuss the Brazilian educational policies that postulate and legitimate democratic school management. Studies of everyday guided the theoretical basis of this work, we wonder what school subject dealing with the discourse of democratic and participative management. Forward the hypothesis that participatory management should be a prominent space in schools, the aim of this study was to investigate the school management of a municipal school of Youth and Adult Education, which brings in your organization pedagogical foundation and educational principles espoused by Paul Freire. The specific objectives of the study are: a) to investigate and describe how is the organization's management of school youth and adults; b) understand the role of managers; c) check how teachers and administrators understand the process of managing this school. From a methodological point of view the daily life of the studies led this work to procedures and qualitative analysis of ethnographic referring to practices that have occurred in adult education school along with the theoretical foundation. Participated in this research members of the school management group and four teachers of Youth and Adult Education rooms. The results obtained showed that dialogue and democracy go together, that the school is an organization with different world views, which need to be primarily present in the identity of the schools. It was also possible to find different democratic practices in the management and organization of the Educational Center that make school subjects become...

A gestão democrática em uma escola de educação de jovens e adultos

This paper addresses the democratic school management within the school organizations. For this, initially made brief remarks on labor relations, the development of administrative and organizational theories. Later, we reflect on how the se labor relations are organized in the educational environment and what education theoretical contributions to the development of school management in Brazil. Therefore, we discuss the Brazilian educational policies that postulate and legitimate democratic school management. Studies of everyday guided the theoretical basis of this work, we wonder what school subject dealing with the discourse of democratic and participative management. Forward the hypothesis that participatory management should be a prominent space in schools, the aim of this study was to investigate the school management of a municipal school of Youth and Adult Education, which brings in your organization pedagogical foundation and educational principles espoused by Paul Freire. The specific objectives of the study are: a) to investigate and describe how is the organization's management of school youth and adults; b) understand the role of managers; c) check how teachers and administrators understand the process of managing this school. From a methodological point of view the daily life of the studies led this work to procedures and qualitative analysis of ethnographic referring to practices that have occurred in adult education school along with the theoretical foundation. Participated in this research members of the school management group and four teachers of Youth and Adult Education rooms. The results obtained showed that dialogue and democracy go together, that the school is an organization with different world views, which need to be primarily present in the identity of the schools. It was also possible to find different democratic practices in the management and organization of the Educational Center that make school subjects become...

História da Geografia escolar: uma possibilidade de estudo da cultura escolar através da história oral temática híbrida

Pós-graduação em Geografia - IGCE

Resolução de problemas no cenário da matemática discreta

Pós-graduação em Educação Matemática - IGCE

O ensino de língua inglesa nos primeiros anos do ensino fundamental: uma abordagem transdisciplinar

This study is a reflexive review of theories about the teaching of English to children in Elementary School, a suggestion to teach English through the Fairy Tales and Fables, associated with the study of Transversal Themes suggested by the plot in the selected stories. Based on the Communicative Approach to language were conducted a few classes with students of the 4th year of Elementary School in a private school of Bauru city. A bibliographic study was conducted in Applied Linguistics, Philosophy of Education, Psychoanalysis, Approaches to teaching Foreign Language and Theories related to foreign language acquisition

Proposição de uma prática experimental significativa em aulas de física

A remarkable characteristic of the physics subject is the abstraction ability needed during the learning process, which means a non-trivial comprehension and understanding. If the students could not link the themes learned in this subject with observable effects, physics would tend to be a group of mathematical formulas to be memorized. In general, it creates a distance between the student and the subject, and also a prejudice vision of the physics, sometimes for the whole life. Beyond this particular characteristics of physics, the education deals with a source of distraction reinforced by the popularization of mobile access such as cellphones and tablets. The traditional role played by the teacher becomes weak to attract student’s attention. It is necessary that the classes could be planned in such way to achieve three goals: attract student attention, link analytical concepts with real effects and, the most important, gives to the student the ability to use the learned concepts as the key to develop new knowledge. In this work, we present a research based in some experiments used in a CBEF (Brazilian magazine about physical education) and develop an activity consistent with the aims to be reached. To prepare of the experimental activity, we based on Piaget and Vygotsky theories. This work aimed to developed a theoretical research to obtain a didactical activity that deals with the current challenges of the society

Perfil, avaliação e metas de produção intelectual dos programas de pós-graduação em Psicologia

Este trabalho apresenta e discute diferentes aspectos da realidade da Pós-Graduação brasileira, relevantes para a discussão de sua produção intelectual. Também são descritas e discutidas as estratégias adotadas para a avaliação dessa produção.