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

Mitologia: abordagem metodológica para o Historiador da Antigüidade Clássica

O tema central deste artigo é a aplicação da análise semiótica como metodologia de análise histórica do mito presente nos Discursos de Dion Crisóstomo, filósofo bitiniano que viveu entre 40 e 115 d.C. sob o Império Romano.

Uma proposta metodológica do ensino da química para alunos da Zona Rural :O estudo do leite

La enseñanza desarrolló, así como los métodos y las técnicas de enseñar. Aquí el he/she piensa un método instrucción, en que el estudiante está más de un oyente simple: además la parte íntegra, él se llama para intervenir continuamente, mientras tocando una parte ancho, interactivo e involucrando, del contextualização del tema para ser trabajado -inclusivo, asocie día a día al his/her y contextual al programa de la disciplina de Química, hasta la manera como ese tema debe explorarse. La leche, el tema pone en correlación al origen del grupo de los estudiantes seleccionados, fue explorado, dentro de una visión sistémica, bajo el punto de vista de la composición de las propiedades de la industrialización y de la comercialización. Buscando prever los caminos de la construcción y organización del conocimiento de los estudiantes, se usó el modelo de administración mental de Antoine de La Garranderie y la teoría de aprender de Ausubel. El conocimiento de los estudiantes se supervisó antes, durante y al final de las actividades desarrolladas, práctica que permitió verificar la evolución y el nivel de asimilación conceptual de éstos con respecto al tema en el estudio. El análisis de los resultados obtenidos, después de la aplicación de una encuesta que contempla veinte asuntos, todo pertinentes al tema, demostró un nivel del uso sobre el promedio, lo que merecido la pena el método de enseñanza propuesta

Integração de redes GNSS: uma proposta metodológica de densificação da rede SIRGAS na América do Sul

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Análise de séries temporais de coordenadas estimadas com GPS: uma proposta metodológica para detecção, remoção e recuperação de efeitos sazonais

GPS active networks are more and more used in geodetic surveying and scientific experiments, as water vapor monitoring in the atmosphere and lithosphere plate movement. Among the methods of GPS positioning, Precise Point Positioning (PPP) has provided very good results. A characteristic of PPP is related to the modeling and/or estimation of the errors involved in this method. The accuracy obtained for the coordinates can reach few millimeters. Seasonal effects can affect such accuracy if they are not consistent treated during the data processing. Coordinates time series analyses have been realized using Fourier or Harmonics spectral analyses, wavelets, least squares estimation among others. An approach is presented in this paper aiming to investigate the seasonal effects included in the stations coordinates time series. Experiments were carried out using data from stations Manaus (NAUS) and Fortaleza (BRFT) which belong to the Brazilian Continuous GPS Network (RBMC). The coordinates of these stations were estimated daily using PPP and were analyzed through wavelets for identification of the periods of the seasonal effects (annual and semi-annual) in each time series. These effects were removed by means of a filtering process applied in the series via the least squares adjustment (LSQ) of a periodic function. The results showed that the combination of these two mathematical tools, wavelets and LSQ, is an interesting and efficient technique for removal of seasonal effects in time series.

Instrumentalidade do serviço social: dimensões teórico-metodológica, ético-política e técnico-operativa e exercício profissional

The dissertation proposes a discussion about the instrumentality of the Social Work, in the attempt of visualizing her, as well as the profession, in a totality perspective to the light of the rationality critical-dialetical. Understood as the capacity that the professional subjects acquire of giving answers to the demands that are placed to the profession, itself built partner-historically, in a teleologys conflicts and causalitys. So, it is proposed the discussion of the instrumentality while a group of you know specific, composed essentially by the development of three practical-formative dimensions. The theoretical-methodological refers to the capacity of apprehension of the method and of the theories and, consequently, of the relationship that does with the practice. The dimension ethical-politics concerns the development of the capacity of analyzing the society and the own profession as field of contradictory forces, being considered the character eminently political of the professional exercise, as well as the professional's conscience concerning the social direction that prints in your intervention. And the technician-operative dimension refers more strictly to the technical elements and you score for the development of the intervention. It was looked for to evidence as those dimensions they attend in the professional exercise, starting from the experience lived by the social workers of the Social Attendance Reference Centers, in Natal/RN

Proposta metodológica para o imageamento, caracterização, parametrização e geração de modelos virtuais de afloramentos

The aim of this work was to describe the methodological procedures that were mandatory to develop a 3D digital imaging of the external and internal geometry of the analogue outcrops from reservoirs and to build a Virtual Outcrop Model (VOM). The imaging process of the external geometry was acquired by using the Laser Scanner, the Geodesic GPS and the Total Station procedures. On the other hand, the imaging of the internal geometry was evaluated by GPR (Ground Penetrating Radar).The produced VOMs were adapted with much more detailed data with addition of the geological data and the gamma ray and permeability profiles. As a model for the use of the methodological procedures used on this work, the adapted VOM, two outcrops, located at the east part of the Parnaiba Basin, were selected. On the first one, rocks from the aeolian deposit of the Piaui Formation (Neo-carboniferous) and tidal flat deposits from the Pedra de Fogo Formation (Permian), which arises in a large outcrops located between Floriano and Teresina (Piauí), are present. The second area, located at the National Park of Sete Cidades, also at the Piauí, presents rocks from the Cabeças Formation deposited in fluvial-deltaic systems during the Late Devonian. From the data of the adapted VOMs it was possible to identify lines, surfaces and 3D geometry, and therefore, quantify the geometry of interest. Among the found parameterization values, a table containing the thickness and width, obtained in canal and lobes deposits at the outcrop Paredão and Biblioteca were the more relevant ones. In fact, this table can be used as an input for stochastic simulation of reservoirs. An example of the direct use of such table and their predicted radargrams was the identification of the bounding surface at the aeolian sites from the Piauí Formation. In spite of such radargrams supply only bi-dimensional data, the acquired lines followed of a mesh profile were used to add a third dimension to the imaging of the internal geometry. This phenomenon appears to be valid for all studied outcrops. As a conclusion, the tool here presented can became a new methodology in which the advantages of the digital imaging acquired from the Laser Scanner (precision, accuracy and speed of acquisition) were combined with the Total Station procedure (precision) using the classical digital photomosaic technique

A Grounded Theory como abordagem metodológica para pesquisas qualitativas em odontologia

Este trabalho consiste na proposta de utilização, em Odontologia, de uma abordagem metodológica usada em pesquisas qualitativas, denominada Grounded Theory, quando se objetiva compreender fenômenos ou se pretende descrevê-los de acordo com o ponto de vista do sujeito. Pesquisas em saúde, utilizando abordagens qualitativas, estão sendo, cada vez mais, empregadas entre pesquisadores e, na Odontologia, esta abordagem metodológica proposta torna-se fundamental, no sentido de propiciar a exploração de assuntos ainda pouco trabalhados nesta perspectiva metodológica, possibilitando que as pesquisas adquiriram contribuições originais e, assim, ampliando nosso conhecimento. São apresentadas as etapas a serem seguidas nesta abordagem, elucidando-as com alguns exemplos de parte de entrevistas realizadas numa pesquisa que teve como objetivos: compreender a experiência do idoso com a saúde bucal ao longo da vida e desenvolver e validar um modelo teórico representativo dessa experiência.

Proposta metodológica para o imageamento digital e modelagem virtual 3d de um bloco de rochas travertinas

In this paper we present the methodological procedures involved in the digital imaging in mesoscale of a block of travertines rock of quaternary age, originating from the city of Acquasanta, located in the Apennines, Italy. This rocky block, called T-Block, was stored in the courtyard of the Laboratório Experimental Petróleo "Kelsen Valente" (LabPetro), of Universidade Estadual de Campinas (UNICAMP), so that from it were performed Scientific studies, mainly for research groups universities and research centers working in brazilian areas of reservoir characterization and 3D digital imaging. The purpose of this work is the development of a Model Solid Digital, from the use of non-invasive techniques of digital 3D imaging of internal and external surfaces of the T-Block. For the imaging of the external surfaces technology has been used LIDAR (Light Detection and Range) and the imaging surface Interior was done using Ground Penetrating Radar (GPR), moreover, profiles were obtained with a Gamma Ray Gamae-spectômetro laptop. The goal of 3D digital imaging involved the identification and parameterization of surface geological and sedimentary facies that could represent heterogeneities depositional mesoscale, based on study of a block rocky with dimensions of approximately 1.60 m x 1.60 m x 2.70 m. The data acquired by means of terrestrial laser scanner made available georeferenced spatial information of the surface of the block (X, Y, Z), and varying the intensity values of the return laser beam and high resolution RGB data (3 mm x 3 mm), total points acquired 28,505,106. This information was used as an aid in the interpretation of radargrams and are ready to be displayed in rooms virtual reality. With the GPR was obtained 15 profiles of 2.3 m and 2 3D grids, each with 24 sections horizontal of 1.3 and 14 m vertical sections of 2.3 m, both the Antenna 900 MHz to about 2600 MHz antenna. Finally, the use of GPR associated with Laser Scanner enabled the identification and 3D mapping of 3 different radarfácies which were correlated with three sedimentary facies as had been defined at the outset. The 6 profiles showed gamma a low amplitude variation in the values of radioactivity. This is likely due to the fact of the sedimentary layers profiled have the same mineralogical composition, being composed by carbonate sediments, with no clay in siliciclastic pellitic layers or other mineral carrier elements radioactive

Orientação geográfica: uma proposta metodológica para o ensino da geografia na 5ª série

Cartographical representations (maps, charters and plans) are taken as didactic resources in Geography classes in the 5th grade of the municipal public schools in São José de Ribamar through a methodological approach taking into consideration the use of those resources is still worries an important part of the teachers of the Maranhão State public schools who teach in this level. Papers related to the theme, most of the time, are non accessible to the teachers of the maranhense public schools, mainly because the education instilutions, which use those resources, do it in a very incipient way. So this research proposes from the drawings of magnetccoursein the school courtyards, together with maps, charts, plans among others representation used in the classroom environment, motivate the students to a deeper interests in participating in Geography learning process in the 5th grade. Interviews, analyses of socialcultural questionnaires of the families involved in the process; observations of classes, trainings, geocartographical orientations, application of pre and posttests, discussions about the usage of cartographic representations, proposed and effectivated tasks in the classroom, as well as around the school, were the basis of the researched population. As a result of this process, it was produced a was complement didatical material showing, among others, the space in which students, for sure, will contribute in an effective way to a better teaching practice in the chain of maranhense public schools, having in mind that these geographic subjects may be taught in the level we focused our study

La Formación Corumbataí y su importancia en la industria cerámica del estado de São Paulo - Brasil

El desarrollo acelerado del polo cerámico de Santa Gertrudes (provincia de São Paulo) en la década de 90, fue causado principalmente por la localización privilegiada de la materia prima asociada al desarrollo tecnológico, las grandes reservas, el acceso fácil por autopistas que facilitan la distribución de los productos y la proximidad de los grandes centros consumidores. Este desarrollo facilitó que este Polo tuviera un boom en el inicio de 2007 en la fase de madurez con una producción de 367 millones de metros cuadrados, transformándose así en el mayor polo cerámico de las Américas. de acuerdo con los estudios geológicos realizados en este trabajo, las rocas de la Formación Corumbataí, origen de la materia prima usada en el polo cerámico, fueron clasificadas en cinco litofacies: maciza, laminada, intercalada I, intercalada II y alterada. Estas litofacies, por sus características mineralógicas y químicas, fueron consideradas arcillas illíticas con porcentaje medio de fundentes. Tomando como referencia las Normas para baldosas cerámicas, las características cerámicas obtenidas en el laboratorio demostraron que la mayoría de la materia prima es compatible con el grupo BIIb (Absorción de agua entre 6 y 10%).

Proposta metodológica para avaliação de controlador automático de seções e pulverização

Na aplicação de produtos fitossanitários, a utilização de equipamentos que controlam automaticamente as seções da barra e a pulverização já é realidade; entretanto, ainda não há resultados que demonstrem a sua eficácia. Por esse motivo, este trabalho teve por finalidade desenvolver uma metodologia para a avaliação de um equipamento que controla automaticamente as seções e a pulverização. Avaliou-se um controlador automático de seções e pulverização de mercado, e, para tanto, foram utilizados três níveis de acurácia do sinal de GPS (algoritmo interno, SBAS e RTK), três ângulos para a simulação de entrada e saída da barra de pulverização em relação à borda do talhão (0; 45 e 60º ) e três velocidades de trabalho (1,66; 5,00 e 8,33 m s-1). A metodologia proposta possibilitou a determinação dos tempos e distâncias de abertura e fechamento das seções. Os coeficientes de variação para os tempos e distâncias de abertura e fechamento das seções indicaram uma variação considerável. Houve interações significativas em função do tipo de sinal de GPS. A configuração recomendada pelo fabricante e adotada para a avaliação do controlador automático de seções e pulverização não atende a todas as situações simuladas.

Uma proposta metodológica para a formação continuada de professores na perspectiva histórico-social

O texto apresenta uma proposta para a formação de professores, baseada na pedagogia histórico-crítica. São apresentados três eixos básicos para orientar esse trabalho: domínio dos conteúdos escolares e formas de ensinar; estudo da concepção dialética; formação de uma nova atitude ético-política. A metodologia sugerida é similar àquela que os professores poderão usar com seus alunos. Procura seguir os cinco passos propostos por Saviani: a prática social, a problematização, a instrumentalização, a catarse e a prática social.

Análise de textos didáticos de Matemática: um mapeamento e uma proposta metodológica fundada numa perspectiva hermenêutica

This article discusses some methodological possibilities for analyzing textbooks in Mathematics Education. Its starting point was a review - which allowed us to build a general map - of the production developed by consolidated Research Groups that deal with this theme in Brazil. This map allowed us to propose a complementary/alternative guide to analyse textbooks according to a hermeneutical approach.

Importancia da Geologia na formacao cientifica dos estudantes de Primeiro e Segundo Graus

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)