Reflexões sobre a construção e evolução de conceitos geométricos nas séries intermediárias do ensino fundamental

This thesis represents a didactic research linked to the Post-graduation Programme in Education of the Universidade Federal do Rio Grande do Norte which aimed to approach the construction of the geometrical concepts of Volume of the Rectangular Parallelepiped, Area and Perimeter of the Rectangle adding a study of the Area of the Circle. The research was developed along with students from the 6th level of the Elementary School, in a public school in Natal/RN. The pedagogical intervention was made up of three moments: application of a diagnostic evaluation, instrument that enabled the creation of the teaching module by showing the level of the geometry knowledge of the students; introduction of a Teaching Module by Activities aiming to propose a reflexive didactic routing directed to the conceptual construction because we believed that such an approach would favor the consolidation of the learning process by becoming significant to the apprentice, and the accomplishment of a Final Evaluation through which we established a comparison of the results obtained before and after the teaching intervention. The data gathered were analyzed qualitatively by means of a study of understanding categories of mathematical concepts, in addition to using descriptive statistics under the quantitative aspect. Based on the theory of Richard Skemp, about categorization of mathematical knowledge, in the levels of Relational and Instrumental Understanding were achieved in contextual situations and varied proportions, thus enabling a contribution in the learning of the geometrical concepts studied along with the students who took part in the research. We believe that this work may contribute with reflections about the learning processes, a concern which remained during all the stages of the research, and also that the technical competence along with the knowledge about the constructivist theory will condition the implementation of a new dynamics to the teaching and learning processes. We hope that the present research work may add some contribution to the teaching practice in the context of the teaching of Mathematics for the intermediate levels of the Elementary School

A formação de professores surdos de Libras: a centralidade de ambientes bilíngues em sua formação

The study object of this thesis intertwines the history of deaf education in the last 30 years in three schools for the deaf in the cities of Campina Grande, Gado Bravo and Aroeiras, Paraiba, the life stories of six deaf teachers of brasilian sign language (Libras) that have formed and works in these educational institutions for the deaf and our own journey, as a teacher and researcher. The study was conducted on the theoretical-methodological principles of (auto)biographical research in education and socio-historical studies on the social formation of the human. The corpus used for analysis was consisted of six narrative interviews conducted in sign language and transcribed into portuguese, documents and personal files and institutional. The analysis allowed us to define three hinge moments of this story: the creation of the first school for the deaf, within the framework of oralism (1980 - 1991), the passage into the Total Communication (1991 - 1995) and, finally, the introduction of Bilingualism (1995 to today). The analyzes show that the trajectories of teacher formation of the research participants reflect the history of the three schools which have costituted bilingual social spaces of paramount importance to the subjects and the deaf community as a group of linguistic and cultural minority. The evolution of this trajectory has allowed to demarcate between the two generations of research participants. The generation of heirs of oralism, which had delayed access to the Libras and lived an education referenced in oralism, whose reminiscences of childhood and adolescence are strongly marked by suffering for the lack of communication, which hinders their social and professional career until today. And the generation of the sons of bilingualism, the youngest in age, who had childhood access to Libras and education within the framework of bilingualism, whose reminiscences are not marked by suffering and have a positive vision of the future. With respect to your teacher formation, three figures stand out as a teacher. The teacher's improvised, closer to the first generation of teachers who were called to teach without proper training. The figure of the teacher craftsman, which corresponds to the image that most of them have of yourself now, understanding that their knowledge are based on the exchange between peers. And finally the figure of the real teacher, which stands on the horizon of expectations as future graduates in Letters |Libras. The narratives allowed to realize that the evolution between these figures is based on the contributions of the other: hearing teachers of EDAC and the Federal University of Campina Grande and deaf teachers of the two generations who learn from each other. The analyzes and reflections allowed to defend the thesis of the centrality of bilingual environments for the establishment of the deaf person as a citizen with full rights, based on the voice of the deaf, muted by the history of education, conducted by listeners

Passado e presente: a enfermagem do Hospital Universitário Onofre Lopes

This is a historically focused study with a qualitative approach whose main purpose is to investigate the trajectory of Nursing at the Hospital Universitário Onofre Lopes (HUOL) and how it associates with the teaching of Nursing at the Federal University of Rio Grande do Norte (UFRN). Motivation for carrying out this study is due, firstly, to a liking for history and, secondly, to the nonexistence of records on Nursing in one of the institutions with the most teaching tradition in the area of health and nursing in the state of Rio Grande do Norte. The objectives of the study were to analyze the historical development of Nursing at the HUOL and its association with the teaching of Nursing at the UFRN; describe the historical development of the Hospital referred to; and to establish a relationship between the development of nursing at the HUOL and the teaching of Nursing at the UFRN. Empirical investigation was carried out based on the study of historical documents such as reports, minutes, letters, by-laws, decrees and administrative directives, as well as photographs and interviews with people who lived through this history or who kept vivid memories of it. From this research it can be gathered that Nursing at the HUOL was at first closely identified with the empirical stage of the profession. Its development is a result of the institutionalization of teaching whose starting point is an authorization for running the Nursing Aid School of Natal in 1955. Since then, gradually, teaching has enabled those who practiced nursing at that institution to become professionals through a partnership between the Nursing Aid School and the Nursing Department at the Hospital whose administration had been in charge of a professor for many years. Upon the creation of the undergraduate program in Nursing in 1973, nursing at the HUOL underwent a new transformation process with new nurses being hired. Likewise, the creation of post-graduate specialization and master s degree programs in 1982 and 1996, respectively, opened the way to the growth of the academic qualifications of nurses at that institution. Therefore, it must be asserted that Nursing at the HUOL has, over the years, gone through a continuous process of qualification of its members and in such trajectory the teaching of Nursing that is carried out at different levels at the UFRN stands as a hallmark

Vivências de docentes de enfermagem no ensino do cuidar

Care, in a global perspective, appears in the main quarrels as the necessary phenomenon that will have to permeate the thoughts, the perception and values for the change that will lead to the overcoming of a paradigmatic crisis. The professional care was attributed, in elapsing of history, to the Nursing. Its historical evolution and articulation with the social processes, political and scientific in prominence place, in what it says respect to human well-being, not objectifying to cure, but to comfort, to complement the weak capacities and to the establishment the present capacities, alleviating pain, in other words, caring. The Teaching of care in Nursing, suffered great influences of the biomedical model, being like this, the education in Nursing has been criticized for if being valid pedagogical models incapable to promote the growth of the subjects, keeping it passive before your life processes, showing fragilities, attitudes and questionable behaviors, dissonances, appearing the imminence of an act of to care and to educate that needs to be considered as dialectical and intersubjective act. The objective of this research is to understand the lived experience of the nursing teachers in the Teaching of Care, in order to reflect about the insert of Nursing in the current world context, watching the dialetics of the Teaching of care and the paradigm changes in the section health. It is a phenomenological research that used the analysis of the located phenomenon, to obtain the units of meaning of the speech Nursing teachers about your experience lived in the Teaching of care. This study allowed the Nursing teachers could share your existences, senses and information on the interior of your pedagogic action exalting the interpretation, which appears intentionally in the conscience, emphasizing the pure experience of the be-professor, including emotions and affectivities in the teaching of care. In the construction of the results, three moments were devoted for discussion: Multidimensional Care; Care as Professional Practice; and the Teaching of care. The speeches had revealed rich, complex and for paradoxical times. The understanding of a sensitive teaching, that sometimes, arrives if to worry in rescuing the tenderness and the humanity, it is running into the other permeated speeches of fragilities, inconstancies, technifying, that showed lacks of pedagogic preparation. The Teaching of care needs to adopt a conception of education/learning and to use methodologies that can lead to an action liberating, capable to breach with traditional mooring cables and preconceptions or little healthful habits of life, favoring the use of methods that promote educating for the way of the sensitive, detaching aspects that they contribute for this end, as the intuition, the emotion, the creation, the perception and the sensibility. In this direction, it is considered important to deepen subjects that make possible the creation of care strategies and educational with the human being vision in your totality, therefore if it perceives that the necessary therapeutical boarding to be ampler, passing for the social individual, family and its relations

Evolução, avaliação e validação do software RoboEduc

Considering the transition from industrial society to information society, we realize that the digital training that is addressed is currently insufficient to navigate within a digitized reality. As proposed to minimize this problem, this paper assesses, validates and develops the software RoboEduc to work with educational robotics with the main differential programming of robotic devices in levels, considering the specifics of reality training . One of the emphases of this work isthe presentation of materials and procedures involving the development, analysis and evolution of this software. For validation of usability tests were performed, based on analysis of these tests was developed version 4.0 of RoboEduc

Evolução da biodegradabilidade da matéria orgânica em um sistema de lagoas de estabilização

Waste stabilization ponds (WSP) have been widely used for sewage treatment in hot climate regions because they are economic and environmentally sustainable. In the present study a WSP complex comprising a primary facultative pond (PFP) followed by two maturation ponds (MP-1 and MP-2) was studied, in the city of Natal-RN. The main objective was to study the bio-degradability of organic matter through the determination of the kinetic constant k throughout the system. The work was carried out in two phases. In the first, the variability in BOD, COD and TOC concentrations and an analysis of the relations between these parameters, in the influent raw sewage, pond effluents and in specific areas inside the ponds was studied. In the second stage, the decay rate for organic matter (k) was determined throughout the system based on BOD tests on the influent sewage, pond effluents and water column samples taken from fixed locations within the ponds, using the mathematical methods of Least Squares and the Thomas equation. Subsequently k was estimated as a function of a hydrodynamic model determined from the dispersion number (d), using empirical methods and a Partial Hydrodynamic Evaluation (PHE), obtained from tracer studies in a section of the primary facultative pond corresponding to 10% of its total length. The concentrations of biodegradable organic matter, measured as BOD and COD, gradually reduced through the series of ponds, giving overall removal efficiencies of 71.95% for BOD and of 52.45% for COD. Determining the values for k, in the influent and effluent samples of the ponds using the mathematical method of Least Squares, gave the following values respectively: primary facultative pond (0,23 day-1 and 0,09 day-1), maturation 1 (0,04 day-1 and 0,03 day-1) and maturation 2 (0,03 day-1 and 0,08 day-1). When using the Thomas method, the values of k in the influents and effluents of the ponds were: primary facultative pond (0,17 day-1 and 0,07 day-1), maturation 1 (0,02 day-1 and 0,01 day-1) and maturation 2 (0,01 day-1 and 0,02 day-1). From the Partial Hydrodynamic Evaluation, in the first section of the facultative pond corresponding to 10% of its total length, it can be concluded from the dispersion number obtained of d = 0.04, that the hydraulic regime is one of dispersed flow with a kinetic constant value of 0.20 day-1

Nietzsche e Rosset: alegria, impulso à criação

Understood in a project of transvaluation of values, the joy is one of the central themes of the thought of Friedrich Nietzsche and Clément Rosset. Opposed to the dogmatic philosophy that moralize and robs your strength to think of it as "happiness", evaluated, in short, a target linked to virtue and rationality these thinkers propose a perspective that makes the joy of point to an instance extraterrestrial and back to the earth, to the body. In this vein, beyond the oppositions of values constitutive of metaphysics dogmatic, the joy and suffering are conceived as elements that are not mutually exclusive, they are complementary as foundations of a gaia(ta) science, based in laughter and friendship. Contents of a tragic wisdom that leads to an unconditional fidelity to the real (expressed in formulas of amor fati Nietzsche and unrestricted approval of existence Rosset), the joy is then interview as vital impulse, the force majeure, the strength plastic encourages artistic creation: the joy of children playing

Uma análise teórica da evolução da rotação estelar

In the past 50 years, large efforts have been made toward the understanding of the stellar evolution. In the observational context, large sets of precise measurements of projected rotational velocity were produced, in particular by the Natal and Geneva groups. From these data, it is now possible to establish the behavior of stellar rotation from the turnoff to the red giant branch. In addition, these data have shown the role of tidal effects on stellar rotation in close binary systems. Nevertheless, relatively little attention has been paid to theoretical studies on the evolution of rotation along the HR Diagram, a topic itself directly associated to the evolution of the stars. Basically, there are two reasons for such a fact, (i) spherical symmetry is not assumed, what leads to a substantial increase in the numerical complexity of equations and (ii) non rotating models have been very successful in explaining relevant observational data, including the mass-luminosity relation and chemical abundances. In spite of these facts, it is clear that considerable work remains to be done on the role of rotation in the later stages of the evolution, where clear disagreements arise from confrontations between theoretical predictions and observations. In the present work we study the evolutionary behavior of stellar rotation along the HR Diagram, taking into account constraint conditions issued from recent observational survey of rotational velocity carried out with high precision procedures and new evolutionary codes

A evolução do lítio em estrelas do tipo-solar através do diagrama HR

Important advances have been made along the last decade in the study of the lithium behavior in solar-type stars. Among the most important discoveries what attracts attention is that the distribution of lithium abundance in the late F-type giant stars tends to be discontinuous, at the same time of a sudden decline in rotation and a gradual decline according to the temperature for giant red stars of such spectral type. Other studies have also shown that synchronized binary systems with evolved components seem to keep more of their original lithium than the unsynchronized systems. evertheless, the connection between rotation and lithium abundance as well as the role of tidal effects on lithium dilution seem to be more complicated matters, depending on mass, metallicity and age. This work brings an unprecedented study about the behavior of lithium abundance in solartype evolved stars based on an unique sample of 1067 subgiant, giant and supergiant stars, 236 of them presenting spectroscopic binary characteristics, with precise lithium abundance and projected rotational speed. Now the lithium-rotation connection for single and binary evolved stars is analyzed taking into account the role of mass and stellar age

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

Evolução de Rádio Fontes Duplas Extragalácticas

Double radio sources have been studied since the discovery of extragalactic radio sources in the decade of 1930. Since then, several numerical studies and analytical models have been proposed seeking a better understanding of the physical phenomena that determines the origin and evolution of such objects. In this thesis, we intended to study the evolution problem of the double radio sources in two fronts: in the ¯rst we have developed an analytical self-similar model that represents a generalization of most models found in the literature and solve some existent problems related to the jet head evolution. We deal with this problem using samples of hot spot sizes to ¯nd a power law relation between the jet head dimension and the source length. Using our model, we were able to draw the evolution curves of the double sources in a PD diagram for both compact sources (GPS and CSS) and extended sources of the 3CR catalogue. We have alson developed a computation tool that allows us to generate synthetic radio maps of the double sources. The objective is to determine the principal physical parameters of those objects by comparing synthetic and observed radio maps. In the second front, we used numeric simulations to study the interaction of the extra- galactic jets with the environment. We simulated situations where the jet propagates in a medium with high density contrast gas clouds capable to block the jet forward motion, forming the distorted structures observed in the morphology of real sources. We have also analyzed the situation in which the jet changes its propagation direction due to a change of the source main axis, creating the X-shaped sources. The comparison between our simulations and the real double radio sources, enable us to determine the values of the main physical parameters responsible for the distortions observed in those objects

A evolução da rotação estelar na vizinhança solar

Different studies point for an rotation age link following a α tα relationship. The value of the α -parameter has a strong role on the evolutionary behaviour of rotation, because it indicates how strong is the spindown once stars evolve. The well known Skumanich s relation α t −1/2, which is consistent with simple theories of angular momentum loss from rotating stars with magnetic fields and winds, is one of the best accepted. Nevertheless, several studies show clearly that such a relation cannot hold for stars much younger or much older than the Pleiades (100 Mega years) without leading to velocities much greater or much lower than those presently observed. The present study aims at improving this picture on the basis of an enlarged analyses taking into account the role of mass and metallicity on the rotation age relation, based on an unprecedented sample of about 14 000 stars in the solar neighbourhood. From this new approach we show that the α parameter it depends strongly on the stellar age and, by consequence, on the metallicity. In addition, one observes a strong dependence of the referred parameter on the single or binary status of the stars

Evolução da excentricidade dos sistemas binários com componente evoluída

On this study we have revisited the predicted tidal circularization theory in close binary systems with a evolved component. Close binaries suffer tidal interactions that tend to synchronize periods and circularize the orbits (Zahn 1977, 1989, 1992). According to Zahn s theory we compute the integral that give us the variation of the eccentricity in a binary under the influence of tidal force and we compare the integral results with new observations for 260 binary systems with orbital solutions. Our results confirm the success of the Zahn s theory with a new data and new stellar evolutionary models, on the other hand, our results points to the need for a better description of the role of convection on this theory

Evolução top-hat hidrodinâmica em campos de velocidades peculiares primordiais

We investigate the cosmology of the vacuum energy decaying into cold dark matter according to thermodynamics description of Alcaniz & Lima. We apply this model to analyze the evolution of primordial density perturbations in the matter that gave rise to the first generation of structures bounded by gravity in the Universe, called Population III Objects. The analysis of the dynamics of those systems will involve the calculation of a differential equation system governing the evolution of perturbations to the case of two coupled fluids (dark matter and baryonic matter), modeled with a Top-Hat profile based in the perturbation of the hydrodynamics equations, an efficient analytical tool to study the properties of dark energy models such as the behavior of the linear growth factor and the linear growth index, physical quantities closely related to the fields of peculiar velocities at any time, for different models of dark energy. The properties and the dynamics of current Universe are analyzed through the exact analytical form of the linear growth factor of density fluctuations, taking into account the influence of several physical cooling mechanisms acting on the density fluctuations of the baryonic component of matter during the evolution of the clouds of matter, studied from the primordial hydrogen recombination. This study is naturally extended to more general models of dark energy with constant equation of state parameter in a flat Universe

Criação da matéria em cosmologias com velocidade da luz variável e eletrônico não-linear

In this work we obtain the cosmological solutions and investigate the thermodynamics of matter creation in two diferent contexts. In the first we propose a cosmological model with a time varying speed of light c. We consider two diferent time dependence of c for a at Friedmann-Robertson- Walker (FRW) universe. We write the energy conservation law arising from Einstein equations and study how particles are created as c decreases with cosmic epoch. The variation of c is coupled to a cosmological Λ term and both singular and non-singular solutions are possible. We calculate the "adiabatic" particle creation rate and the total number of particles as a function of time and find the constrains imposed by the second law of thermodynamics upon the models. In the second scenario, we study the nonlinearity of the electrodynamics as a source of matter creation in the cosmological models with at FRW geometry. We write the energy conservation law arising from Einstein field equations with cosmological term Λ, solve the field equations and study how particles are created as the magnetic field B changes with cosmic epoch. We obtain solutions for the adiabatic particle creation rate, the total number of particles and the scale factor as a function of time in three cases: Λ = 0, Λ = constant and Λ α H2 (cosmological term proportional to the Hubble parameter). In all cases, the second law of thermodynamics demands that the universe is not contracting (H ≥ 0). The first two solutions are non-singular and exhibit in ationary periods. The third case studied allows an always in ationary universe for a suficiently large cosmological term