Geometrias não-eucludianas como anomalias: implicações para o ensino de geometria e medidas

This present research the aim to show to the reader the Geometry non-Euclidean while anomaly indicating the pedagogical implications and then propose a sequence of activities, divided into three blocks which show the relationship of Euclidean geometry with non-Euclidean, taking the Euclidean with respect to analysis of the anomaly in non-Euclidean. PPGECNM is tied to the line of research of History, Philosophy and Sociology of Science in the Teaching of Natural Sciences and Mathematics. Treat so on Euclid of Alexandria, his most famous work The Elements and moreover, emphasize the Fifth Postulate of Euclid, particularly the difficulties (which lasted several centuries) that mathematicians have to understand him. Until the eighteenth century, three mathematicians: Lobachevsky (1793 - 1856), Bolyai (1775 - 1856) and Gauss (1777-1855) was convinced that this axiom was correct and that there was another geometry (anomalous) as consistent as the Euclid, but that did not adapt into their parameters. It is attributed to the emergence of these three non-Euclidean geometry. For the course methodology we started with some bibliographical definitions about anomalies, after we ve featured so that our definition are better understood by the readers and then only deal geometries non-Euclidean (Hyperbolic Geometry, Spherical Geometry and Taxicab Geometry) confronting them with the Euclidean to analyze the anomalies existing in non-Euclidean geometries and observe its importance to the teaching. After this characterization follows the empirical part of the proposal which consisted the application of three blocks of activities in search of pedagogical implications of anomaly. The first on parallel lines, the second on study of triangles and the third on the shortest distance between two points. These blocks offer a work with basic elements of geometry from a historical and investigative study of geometries non-Euclidean while anomaly so the concept is understood along with it s properties without necessarily be linked to the image of the geometric elements and thus expanding or adapting to other references. For example, the block applied on the second day of activities that provides extend the result of the sum of the internal angles of any triangle, to realize that is not always 180° (only when Euclid is a reference that this conclusion can be drawn)

Abordagem cognitiva da construção deverbal x-dor: contribuições para o ensino do português

This work analyzes deverbal nominalizations with the sufix dor in Brazilian Portuguese, under the perspective of Cognitive Linguistics, more specifically, the Construction Grammar. The aim is to determine the general features of interpretation that characterize this deverbal construction and its use in formal writing. Based on the cognitive assumption that grammatical structure is motivated, explained, and determined by the structure of cognitive patterns, created from our experience in the world, and by the communicative function of language, the dor deverbal is treated as a polysemic grammatical construction. In the composition of V+dor, the relation rootsuffix is focused, through a characterization of the syntactic-semantic nature of the verb and the values of the suffix. Among the different values conventionally related to the XDOR construction, the agentive is considered as the prototypical sense. The relation between the other values and the prototype is explained by cognitive abilities and discourse motivations. The deverbal construction X-DOR is also interpreted as a valency noun that, like an action nominal, retains the argument structure of the deriving predicate. It is also intended to demonstrate the textual function of this deverbal construction, as a device of information condensing and anaphoric recovery. The data were taken from Veja magazine and the approach is qualitative (explicative), with quantitative support

Acelaração do universo e criação gravitacional de matéria escura fria: novos modelos e testes observacionais

Recent astronomical observations (involving supernovae type Ia, cosmic background radiation anisotropy and galaxy clusters probes) have provided strong evidence that the observed universe is described by an accelerating, flat model whose space-time properties can be represented by the FriedmannRobertsonWalker (FRW) metric. However, the nature of the substance or mechanism behind the current cosmic acceleration remains unknown and its determination constitutes a challenging problem for modern cosmology. In the general relativistic description, an accelerat ing regime is usually obtained by assuming the existence of an exotic energy component endowed with negative pressure, called dark energy, which is usually represented by a cosmological constant ¤ associated to the vacuum energy density. All observational data available so far are in good agreement with the concordance cosmic ¤CDM model. Nevertheless, such models are plagued with several problems thereby inspiring many authors to propose alternative candidates in the relativistic context. In this thesis, a new kind of accelerating flat model with no dark energy and fully dominated by cold dark matter (CDM) is proposed. The number of CDM particles is not conserved and the present accelerating stage is a consequence of the negative pressure describing the irreversible process of gravitational particle creation. In order to have a transition from a decelerating to an accelerating regime at low redshifts, the matter creation rate proposed here depends on 2 parameters (y and ߯): the first one identifies a constant term of the order of H0 and the second one describes a time variation proportional to he Hubble parameter H(t). In this scenario, H0 does not need to be small in order to solve the age problem and the transition happens even if there is no matter creation during the radiation and part of the matter dominated phase (when the ß term is negligible). Like in flat ACDM scenarios, the dimming of distant type Ia supernovae can be fitted with just one free parameter, and the coincidence problem plaguing the models driven by the cosmological constant. ACDM is absent. The limits endowed with with the existence of the quasar APM 08279+5255, located at z = 3:91 and with an estimated ages between 2 and 3 Gyr are also investigated. In the simplest case (ß = 0), the model is compatible with the existence of the quasar for y > 0:56 whether the age of the quasar is 2.0 Gyr. For 3 Gyr the limit derived is y > 0:72. New limits for the formation redshift of the quasar are also established

Estudos de modelos Estocásticos: processo de contato, séries aleatórias e processos difusivos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

As relações afetivas na prática tutorial e sua relação com a aprendizagem no curso a distância de licenciatura plena em química

In distance learning degree in Chemistry in full of the Secretária de Educação a distância da Universidade Federal do Rio Grande do Norte (SEDIS / UFRN). The teacher-tutor to establish the experimental subjects closer relationships with students, mediating the pedagogical actions that develop in the distance learning course, with a view to achieving the principles of autonomy and learning, contributing to the creation of learning environments collaborative, guided by affection.The article presents the results of an empirical research on affectivity in practice this tutorial experimental classes in higher distance education in the full degree course in Chemistry Polo Currais Novos/ RN, held between 2009 and 2010. The study is based on qualitative methodology, whose data were collected through questionnaires and semi-structured interviews with 48 (forty eight) students involved in distance learning courses and selected in order to compose a group of subjects who showed variability, as guidelines that guide the sampling procedures in qualitative research. The results, based on category theory and empirical analysis of data from the interviews were supplemented by information obtained from participant observation which also served to guide the data collection of the corpus of this work. With the results we understand that there is clarity about what characterizes a loving relationship between those involved in the process of teaching and learning in experimental classes in high school chemistry Distance Education. Furthermore, it was also clear that the communication process in dialogic teaching and learning in higher distance education in chemistry at the trial need to mark out in balanced affective attitudes, the experimental error that value and respect the many possible construction of knowledge by movements social interaction of individual and collective

Análise das dificuldades de aprendizagem numa disciplina de química orgânica do curso de química na modalidade à distância da UFRN

In today`s society the use of so-called information technology and communication (ICT), is promoting a revolution in the forms of teaching and learning through the methods of distance learning courses, especially in higher education. Studies show that students in this way have great difficulties in the learning process, especially when dealing with experimental subjects that require high power of abstraction as chemistry. The goal of this work is to promote improvement in the teaching and learning in the discipline Chemistry of Life offered for the Bachelor`s Degree in Chemistry in distance UFRN. For this we analyzed evidence of the semester 2011.2, in order to identify what are the main difficulties of the students on the assessments. That`s why video lessons related to matters that create the majority of difficulties for students were developed, the final product this work. Being obtained the improvements by video classes in the learning process of the students, from a questionnaire answered by the students in the virtual learning environment, and from their success rate at the end of the course

Desenvolvimento de chatterbots educacionais: um estudo de caso voltado ao ensino de algoritmos

In development of Synthetic Agents for Education, the doubt still resides about what would be a behavior that could be considered, in fact, plausible for this agent's type, which can be considered as effective on the transmission of the knowledge by the agent and the function of emotions this process. The purpose of this labor has an investigative nature in an attempt to discover what aspects are important for this behavior consistent and practical development of a chatterbot with the function of virtual tutor, within the context of learning algorithms. In this study, we explained the agents' basics, Intelligent Tutoring Systems, bots, chatterbots and how these systems need to provide credibility to report on their behavior. Models of emotions, personality and humor to computational agents are also covered, as well as previous studies by other researchers at the area. After that, the prototype is detailed, the research conducted, a summary of results achieved, the architectural model of the system, vision of computing and macro view of the features implemented.

Tecnologia educacional no contexto do ensino de histologia: pesquisa e desenvolvimento de um ambiente virtual de ensino e aprendizagem

Discutem-se as mudanças constatadas no ensino da Histologia, como a tecnologia tem sido empregada nos contextos de aprendizagem, os aspectos pedagógicos inerentes à utilização de recursos, tais como atlas digitais e microscópios virtuais, e apresenta-se pesquisa sobre o desenvolvimento de um ambiente virtual de ensino-aprendizagem de Histologia, que contou com a participação de alunos e professores em sua construção. Verificou-se que os ambientes virtuais e outros recursos didáticos baseados nas Tecnologias da Informação e da Comunicação (TICs) procuram atender à atual tendência de complementar a educação presencial com ferramentas de educação a distância, que podem ser utilizadas facultativamente no estudo extraclasse continuado. Concluiu-se que, embora as novas tecnologias possam contribuir para o ensino de Histologia, os materiais didáticos baseados em TICs devem se adequar às expectativas docentes e discentes e aos aspectos pedagógicos e ergonômicos, e precisam ser adotados pelos professores não como ferramentas isoladas, mas integrados às estratégias de ensino- -aprendizagem

Calculando distância em geometria espacial usando material manipulável como recurso didático

This work presents a proposal for introducing the teaching of Geometry Space study attempts to demonstrate that the use of manipulatives as a teaching resource can be an alternative learning facilitator for fixing the primitive concepts of geometry, the postulates and theorems, position relationships between points, lines and planes and calculating distances. The development makes use of a sequence of activities aimed at ensuring that students can build a more systematic learning and these are divided into four steps

Espessura da zona de transição do manto sob a Província Borborema, NE Brasil, através de conversões Ps telessísmicas

The mantle transition zone is defined by two seismic discontinuities, nominally at 410 and 660 km depth, which result from transformations in the mineral olivine. The topography of these discontinuities provides information about lateral temperature changes in the transition zone. In this work, P-to-S conversions from teleseismic events recorded at 32 broadband stations in the Borborema Province were used to determine the transition zone thickness beneath this region and to investigate whether there are lateral temperature changes within this depth range. For this analysis, stacking and migration of receiver functions was performed. In the Borborema Province, geophysical studies have revealed a geoid anomaly which could reflect the presence of a thermal anomaly related to the origin of intraplate volcanism and uplift that marked the evolution of the Province in the Cenozoic. Several models have been proposed to explain these phenomena, which include those invoking the presence of a deep-seated mantle plume and those invoking shallower sources, such as small-scale convection cells. The results of this work show that no thermal anomalies are present at transition zone depths, as significant variations in the transition zone thickness were not observed. However, regions of depressed topography for both discontinuities (410 and 660 km) that approximately overlap in space were identified, suggesting that lower-thanaverage, lateral variations in seismic velocity above 410 km depth may exist below the the Borborema Province. This is consistent with the presence of a thermally-induced, low-density body independently inferred from analysis of geoid anomalies. Therefore, the magma source responsible for the Cenozoic intraplate volcanism and related uplift in the Province, is likely to be confined above the upper mantle transition zone.

Consumo c(l)iente: abordagem do gênero anúncio publicitário em livros didáticos de língua portuguesa do ensino médio

Portuguese language textbooks, according to what has been preconized on the official document to education, have been configured on discursive genres imported from diverse spheres of human activity. Adverts, genre of ample social circulation, spread from the Advertising sphere to the schools and started being approached by these collectaneas as an object and a tool for teaching. Therefore, this research deals with the approach of ads in Portugese textbooks. These discursive practices matter for the impact or appeal they exert over the (new) consumers, among which High School students; for their representation in the capitalist system, which guides us on our relationships and social practices; and for the mix of languages that end up at their composition, once they encapsulate the spirit of our time, par excellence, the one from the verbal-visual genres. To understand the treatment given to these advertising pieces, from questions/commentaries related to them, two collections were selected by the Programa Nacional do Livro Didático – Textbook National Program (PNLD 2012) among the ones more used by public High Schools in Natal/RN. From Applied Linguistics, from mestizo, nomadic and inter/transdisciplinary identity (MOITA LOPES, 2009), this study falls within the discursive chain of the interpretive tradition of historical-cultural approach (FREITAS, 2010) and names the Bakhtin Circle and its language‟s dialogical conception as inescapable partners. The data of the colletaneas show that the genre approach can happen as concrete utterance, as linguistic artifact and as hybrid, at work with questions and without questions, with the predominance of its occurrence in the portion of the volume devoted to the study of grammar. In the literature chapters and production/interpretation of compositions, it insert is incipient or it doesn‟t happen in the volume. Such a provision has implications for multiliteracies (ROJO, 2012) of the citizen student, once the lack or the abundance of critical reading proposals for this genre, that demand from the student the exercise of knowledge that is necessary to the construction of linguistic and social meanings, can be responsible for guide to a more conscious consumerism (material and cultural) by the chief customers of the work under review. The approaches of the genres seems to indicate a gradual transition that such material have undergone, which means, from the focus on clauses to the focus on utterances, or even the approach as linguistic artifact to hybrid and the concrete utterance, in search of overcoming the traditional tendency of taking advantage of formal aspects of the language, to the detriment of enunciative ones, and for coming into harmony with the guidelines and parameters of teaching in contemporary times, bringing the school duties close to the rights in life.

Avaliando as escolas pelas suas competências: aplicação do DEA não discricionário para o ensino fundamental do Rio Grande do Norte

Formal education, understood by the gradual process that occurs at school, aims at learning and systematic knowledge is of great interest to society as it benefits its individuals and leads to many positive effects, such as increased productivity and welfare (Johnes, Johnes, 2007). Understanding what influences the educational outcome is as important as the result itself, because lets you manage these variables in order to obtain a better student performance. This work uses the data envelopment analysis (DEA) to compare the efficiency of Rio Grande do Norte schools. In this nonparametric method, an efficiency frontier was construct from the best schools that use the inputs set to generate educational products. Therefore, the data used were obtain by Test Brazil and year 2011 School Census to state and municipal schools of Rio Grande do Norte. Some of the variables considered as inputs and outputs have been obtain directly these bases - the other two were prepared, using the Item Response Theory (IRT) - they are the socioeconomic and school infrastructure indices. As a first step, we compared several DEA models, with changes of input variables. Then was chose the non-discretionary model for which was deep the analysis of results. The results showed that only seven schools were efficient in the 5th and 9th grades simultaneously; there were no significant differences between the efficiency of municipal and state schools; and there were no differences between large and small schools. Analyzing the municipalities, Mossoró excelled in both years with the highest proportion of efficient schools. Finally, the study suggests that using the projections provided by the DEA method, the most inefficient schools would be able to achieve the goal IDEB in 2011, in other words, it is possible to improve the education of significant state taking the efficient schools as a basis for too much.

A terapia comunitária e a vivência de estudantes de medicina: uma estratégia de ensino aprendizagem do cuidado humanizado na ESF?

Before the scenario full of criticism about a medical model that gives privilege to the diseases and not to the diseased, there are many arguments that defend the need of redeem the humanized relationship between doctor and patient. It became indispensable to mold during the medical graduation a professional capable of perform a special care, less instrumental and more humanized; however, even though the advances of the pedagogical program of the medical graduation, we still face numerous challenges in the process of molding. This study has as general goal to understand if the students medicine experience with the Integrative Community Therapy (TCI) at the Primary Attention – APS/Family Healthy Strategy-ESF, presents potential to configure itself while strategy of teaching-learning to the integral and humanized care. It was held a qualitative research with the students of the medical graduation from the tenth to the twelfth semester that had experience with the TCI, as part of the Boarding of Family and Community Medicine – MFC. We used interviews with script and we resorted to analyze the narratives to Gadamerian Hermeneutics. It was possible to find that before join the boarding of MFC, the students were unaware the TCI and their preconceptions lined up with depreciated character. The experience with the TCI enabled the reframing of the prejudices and the build of new concepts. Internship in ESF and participate of TCI revealed potential to learning of the humanized care by the practical exercise with experiences that privilege the built of ties; the autonomy of the patient; the fulfillment of the longitudinality at the care of the patient; the acknowledgment of the power of resilience of the patients, at the strength of the collective, at the pain sharing, at the strength of a good communication, at the gains of qualified listening exercise. The absence of models of what to do was replaced by experiences of pains and joys at the learning of becoming a doctor. The pains spoke of the structural difficulties (inputs), at the get along with the socials vulnerabilities of the users and the difficult of perform a good communication with the patients. The joys were experienced at the finding of the humanized care exercise. Questions as structural difficulties, low number of people with TCI degree, a shortly experience of with TCI, show up as limitations to its utilization as pedagogical tool. In turn, the reflective potential is capable of cause resignifications about the know-how before the pain of the other being very much present at the narratives, signaling the potential of the learning of TCI. Therefore, this study advocate that the participation of the students at the TCI, beyond the power of offering the students a teaching-learning strategy to the humanized care, represents the possibility of enlarge the horizons of those future doctors at a glance much more conscious of the difficulties and potential of a professional at the ESF, contributing to the graduation of more sensitized professionals and prepared to perform an integral and humanized approach of the person and his/her community, contributing to an APS/ESF more resolute and rewarding to everyone.

Construção e avaliação de uma unidade de ensino potencialmente significativa para o conteúdo de termoquímica

Nos dias atuais, oferecer uma educação para o exercício da cidadania é função primordial das políticas públicas educacionais, conforme estabelece a constituição brasileira e a legislação de ensino. Essa função vem sendo defendida por muitos professores no Ensino Médio, atribuindo-se a disciplina de Química o papel de proporcionar um ensino crítico, participativo, reflexivo e humano. Segundo os documentos oficiais brasileiros para o Ensino de Química, o estudo do conceito de energia deve favorecer o desenvolvimento de competências para que o aluno compreenda a produção e o seu uso em diferentes fenômenos e possam interpretá-los de acordo com modelos explicativos, além de saber avaliar e julgar os benefícios e riscos da produção e do uso de diferentes formas de energia nos sistemas naturais construídos pelo homem, articulando com outras áreas de conhecimento na procura de promover a interdisciplinaridade. As unidades de ensino potencialmente significativas (UEPS), tomam como base um conjunto de teorias de aprendizagem que tem o intuito de promover um ensino com base na aprendizagem significativa e podem ajudar os estudantes nas diferentes relações que um conceito pode ter. Neste sentido, o estudo do conceito da energia a partir do trabalho com UEPS, pode ser uma importante proposta que favorece um ensino de Química na perspectiva construtivista. Assim, o objetivo deste trabalho é construir e avaliar uma proposta didática para o conteúdo de termoquímica na perspectiva das unidades de ensino potencialmente significativas de Moreira com alunos do Ensino Médio de uma escola pública do Município de Campina Grande-PB. Inicialmente a UEPS foi avaliada por 22 professores em formação inicial de duas instituições públicas de ensino superior. Em seguida, ela foi aplicada para 15 alunos do 2° ano da Escola Estadual de Ensino Médio Prof. Raul Córdula, localizada na cidade de Campina Grande-PB. A coleta dos dados para os professores em formação inicial teve como base um instrumento de validação de elaboração de unidades didáticas baseada na Engenharia Didática proposta por Artigue (1996 apud Guimarães e Giordan, 2011). Já para os alunos do ensino médio, os dados foram coletados no decorrer da UEPS e a avaliação final sobre a proposta didática ocorreu através de um questionário tomando como base a escala de Likert e o uso de mapas conceituais. Para a descrição dos dados, foram utilizados os pressupostos da análise de conteúdo de Bardin. Como produto educacional foi elaborado a Unidade de Ensino Potencialmente Significativa e um DVD contendo orientações de como trabalhar com a proposta. Os resultados deste trabalho apontam uma avaliação positiva quanto à proposta de ensino elaborada para a Educação Básica, onde se observa através do instrumento de validação aplicado, que a maioria das respostas atribuídas pelos professores, ficou entre os itens suficiente e mais que suficiente. Em relação aos momentos de aprendizagem dos alunos do Ensino Médio durante a aplicação da UEPS, foi possível observar que a proposta gerou motivação no processo de ensino e aprendizagem dos conceitos da termoquímica, como também se percebe que os mapas conceituais apresentados pelos alunos apresentaram mais proposições conceituais em uma segunda tentativa de elaboração, logo a proposta de ensino foi aprovada por mais de 90 % dos estudantes do nível médio. Portanto fica evidente que a proposta didática contribuiu no processo de ensino aprendizagem, despertando interesse e motivação nos estudantes pelo conteúdo de Termoquímica.

Testes cosmológicos aplicados a modelos de energia escura

A significant observational effort has been directed to investigate the nature of the so-called dark energy. In this dissertation we derive constraints on dark energy models using three different observable: measurements of the Hubble rate H(z) (compiled by Meng et al. in 2015.); distance modulus of 580 Supernovae Type Ia (Union catalog Compilation 2.1, 2011); and the observations of baryon acoustic oscilations (BAO) and the cosmic microwave background (CMB) by using the so-called CMB/BAO of six peaks of BAO (a peak determined through the Survey 6dFGS data, two through the SDSS and three through WiggleZ). The statistical analysis used was the method of the χ2 minimum (marginalized or minimized over h whenever possible) to link the cosmological parameter: m, ω and δω0. These tests were applied in two parameterization of the parameter ω of the equation of state of dark energy, p = ωρ (here, p is the pressure and ρ is the component of energy density). In one, ω is considered constant and less than -1/3, known as XCDM model; in the other the parameter of state equantion varies with the redshift, where we the call model GS. This last model is based on arguments that arise from the theory of cosmological inflation. For comparison it was also made the analysis of model CDM. Comparison of cosmological models with different observations lead to different optimal settings. Thus, to classify the observational viability of different theoretical models we use two criteria information, the Bayesian information criterion (BIC) and the Akaike information criteria (AIC). The Fisher matrix tool was incorporated into our testing to provide us with the uncertainty of the parameters of each theoretical model. We found that the complementarity of tests is necessary inorder we do not have degenerate parametric spaces. Making the minimization process we found (68%), for the Model XCDM the best fit parameters are m = 0.28 ± 0, 012 and ωX = −1.01 ± 0, 052. While for Model GS the best settings are m = 0.28 ± 0, 011 and δω0 = 0.00 ± 0, 059. Performing a marginalization we found (68%), for the Model XCDM the best fit parameters are m = 0.28 ± 0, 012 and ωX = −1.01 ± 0, 052. While for Model GS the best settings are M = 0.28 ± 0, 011 and δω0 = 0.00 ± 0, 059.