Um estudo sobre a apreciação do raciocínio matemático na formação inicial de professores

The present work focused on developing teaching activities that would provide to the student in initial teacher training, improving the ability of mathematical reasoning and hence a greater appreciation of the concepts related to the golden section, the irrational numbers, and the incommensurability the demonstration from the reduction to the nonsensical. This survey is classified itself as a field one which data collection were inserted within a quantitative and qualitative approach. Acted in this research, two classes in initial teacher training. These were teachers and employees of public schools and local governments, living in the capital, in Natal Metropolitan Region - and within the country. The empirical part of the research took place in Pedagogy and Mathematics courses, IFESP in Natal - RN. The theoretical and methodological way construction aimed to present a teaching situation, based on history, involving mathematics and architecture, derived from a concrete context - Andrea Palladio s Villa Emo. Focused discussions on current studies of Rachel Fletcher stating that the architect used the golden section in this village construction. As a result, it was observed that the proposal to conduct a study on the mathematical reasoning assessment provided, in teaching and activity sequences, several theoretical and practical reflections. These applications, together with four sessions of study in the classroom, turned on to a mathematical thinking organization capable to develop in academic students, the investigative and logical reasoning and mathematical proof. By bringing ancient Greece and Andrea Palladio s aspects of the mathematics, in teaching activities for teachers and future teachers of basic education, it was promoted on them, an improvement in mathematical reasoning ability. Therefore, this work came from concerns as opportunity to the surveyed students, thinking mathematically. In fact, one of the most famous irrational, the golden section, was defined by a certain geometric construction, which is reflected by the Greek phrase (the name "golden section" becomes quite later) used to describe the same: division of a segment - on average and extreme right. Later, the golden section was once considered a standard of beauty in the arts. This is reflected in how to treat the statement questioning by current Palladio s scholars, regarding the use of the golden section in their architectural designs, in our case, in Villa Emo

Práticas etnomatemáticas no Liceu do Paracuri :a propósito dos ornamentos geométricos da cerâmica

The present study analyzes the ethnomatematics practices presents in the creation of the geometric ornaments of the icoaraciense ceramic, originated and still practiced in the neighborhood of Paracuri, District of Icoaraci, belonging to Belém, capital of the State of Pará/Brasil. The object of our study was centered at the workshops supplied by the artisans master of the School of Arts and Occupations, Master Raimundo Cardoso. Referred school provides to its students, formation at fundamental level as well professional formation, through vocational workshops that help to maintain alive the practice of the icoaraciense ceramic. Our interest of researching that cultural and vocational practice appeared when we got in touch with that School, during the development of activities of a discipline of the degree course of mathematics. In order to reach our objective, we accomplished, initially, a research about the icoaraciense ceramic historic, since the first works with the clay until to the main characteristics of that ceramic. Soon afterwards, we discussed on ethnomatematics, culture, knowledge, cognition and mathematical education. At the end, we analyzed the creation of the geometric ornaments of the icoaraciense ceramic, considering the proportion concepts, symmetry and some geometry notions, that are used by the artisans when they are ornamenting the pieces of that ceramic. We verified that, in spite of the artisans, usually, do not demonstrate to possess a bit of domain on the mathematical concepts that they are working with, for instance, the ones of translaction symmetry, rotation and reflection, they demonstrate full safety in the use of those concepts, as well as the capacity to recognize them, even if in a singular specific and very peculiar way, what opens the possibility of a partnership among mathematics teachers and master-artisans of the archeological ceramic and icoaraciense workshops

CORPOREIDADE E A MELODIA DA EXPERIÊNCIA ESTÉTICA NA FORMAÇÃO HUMANESCENTE DE CANTORES-EDUCADORES

In order for this study to be developed, the central goal on our investigation was defined as analyzing and interpreting the aesthetical experiences meanings lived by singers-educators in the human formation. The interest for the aesthetical experience theme was built from my own experience for the last twelve years as a member of the School of Music Madrigal, the oldest group in the State Federal University, created for research and cultural extension with structural perspective which brings closer teachers, students and the outer community that comes from different social realities to face the challenge of combining the ability of singing, the corporeity involvement and the aesthetical experiences meanings. This paper points out the understanding of art as perceptive expression of human emotions, such as the creation of existential demand, the restructuring of oneself and the constructions which shape beauty. We seek a dense contribution of new challenges to the peculiar demand of human potential in terms of sensibility repertoire, of involvement, of expectation in magnifying the possibilities and the human and social competences. In the formation human process, we find a living field blooming with natural artistical possibilities, experimenting emotions and feelings shared in collective life, and bringing out impulses to unexpected ludic creation, establishing a powerful aesthetical ambience which highlights the symbolic and imaginary with the deepening of rich ludopoiese properties in several meanings. From the guiding principles of etnophenomenology we find structural and indispensable perspectives which contemplate values, desires, archtype images and ideas that impress originality and fertility to the study. On this path we understand the abundance of living moments of intense commitment, acquaintance, challenges, reunions and connections that stand out from fundamental aspects to freedom, autonomy, creativity and new discontinuities. This acknowledgement brings us closer to the enlighted fullness which makes us humans

Modulação quantizada para sistemas com codificação wavelet sujeitos ao desvanecimento rayleigh

Wavelet coding is an efficient technique to overcome the multipath fading effects, which are characterized by fluctuations in the intensity of the transmitted signals over wireless channels. Since the wavelet symbols are non-equiprobable, modulation schemes play a significant role in the overall performance of wavelet systems. Thus the development of an efficient design method is crucial to obtain modulation schemes suitable for wavelet systems, principally when these systems employ wavelet encoding matrixes of great dimensions. In this work, it is proposed a design methodology to obtain sub-optimum modulation schemes for wavelet systems over Rayleigh fading channels. In this context, novels signal constellations and quantization schemes are obtained via genetic algorithm and mathematical tools. Numerical results obtained from simulations show that the wavelet-coded systems derived here have very good performance characteristics over fading channels

Sensoriamento remoto e geoprocessamento aplicados ao uso da terra em microbacias hidrográficas, Botucatu - SP

O presente trabalho teve como objetivo identificar e quantificar o uso da terra em dez microbacias ocorrentes na bacia do Rio Capivara, município de Botucatu - SP, a partir da estruturação de um banco de dados utilizando o Sistema de Informações Geográficas (SIG) - IDRISI. Os resultados mostram que as classes de uso da terra, uso agrícola e pastagem, foram as mais significativas, pois ocuparam mais da metade da área das microbacias. O alto índice de uso da terra por pastagens, capoeiras, reflorestamento e matas reflete a predominância de solos arenosos com baixa fertilidade. As imagens obtidas do satélite LANDSAT 5 permitiram o mapeamento do uso da terra de maneira rápida, além de fornecer um excelente banco de dados para futuro planejamento e gerenciamento das atividades agropecuárias regionais. O SIG-IDRISI permitiu identificar, por meio de seus diferentes módulos para georreferenciamento, classificação digital e modelo matemático, as classes de uso da terra com rapidez.

Remoção do cobre de efluente galvânico aplicando tensoativos derivado de óleos vegetais

Copper is one of the most used metals in platingprocesses of galvanic industries. The presence of copper, a heavy metal, in galvanic effluents is harmful to the environment.The main objective of this researchwas the removal ofcopperfromgalvanic effluents, using for this purpose anionic surfactants. The removal process is based on the interaction between the polar head group of the anionic surfactant and the divalent copper in solution. The surfactants used in this study were derived from soybean oil (OSS), coconut oil (OCS), and sunflower oil (OGS). It was used a copper synthetic solution (280 ppm Cu+2) simulating the rinse water from a copper acid bath of a galvanic industry. It were developed 23and 32 factorial designs to evaluate the parameters that have influence in theremoval process. For each surfactant (OSS, OCS, and OGS), the independent variables evaluated were: surfactant concentration (1.25 to 3.75 g/L), pH (5 to 9) and the presence of an anionic polymer (0 to 0.0125 g/L).From the results obtained in the 23 factorial design and in the calculus for estimatingthe stoichiometric relationship between surfactants and copper in solution, it were developed new experimental tests, varying surfactant concentration in the range of 1.25 to 6.8 g/L (32 factorial design).The results obtained in the experimental designs were subjected to statistical evaluations to obtain Pareto charts and mathematical modelsfor Copper removal efficiency (%). The statistical evaluation of the 23 and 32factorial designs, using saponifiedcoconut oil (OCS), presented the mathematical model that best described the copper removal process.It can be concluded that OCS was the most efficient anionic surfactant, removing 100% of the copper present in the synthetic galvanic solution

Investigação histórica na formação de professores de matemática: um estudo centrado no conceito de função

In this study we analyzed the development of a teaching experience, involving students with a bachelor s degree in mathematics from UFRN, based on the history of mathematics and mathematical investigations with the aim of contributing to the improvement of the teaching-learning of mathematics. The historical investigation tasks were planned and applied in the classroom, focusing on functional thought. The results obtained during the experience were described and evaluated based on authors who support the assumption of investigation and history as an alternative to the learning of mathematics. We emphasize that the material of analysis consisted of a work diary, audio recordings, questionnaires with testimony of the students involved, and, in addition, the assessment of the teacher of that subject. With regard to the mathematical content, the study was restricted to the concept of function, forms of representation and notation. It was evident that students showed great improvement with regard to the necessary formalization of the mathematical contents which were focused on, and to the active involvement of the students at different stages of the study. We can affirm that the completed study certainly represents significant contributions to an approach in the teaching-learning of functional thought

Um Ensaio Sobre História Oral e Educação Matemática: pontuando princípios e procedimentos

Recently, we can perceive an intensification of assignments developed into Mathematical Education with the use of oral history as a research methodology. In this article, facing the living experiences during the preparation of our Phd tasks and later, when we had the role of advisors of scientific papers and of Postgraduate students in their researches also using the same methodology, we discussed the implication of ethics, mathematical education and oral history. Furthermore, we enunciated possibilities of the posture of the researcher before interviews, texts and iconography - photos and several images-provided by collaborators of our projects on Oral history and Mathematical Education.

Desvelando as teias de Pinóquio :concepções de família em jovens moradores de bairros periféricos

This thesis discusses family as a social and historical construction and concerns to the perceptions developed by the peripheral youth living in suburbs. It investigates the speeches of young boys and girls who take part in Engenho de sonhos a forum composed by a pool of eleven non-governmental organizations and UFRN which aim is the elaboration and execution of projects focusing local development of poor communities in violence and social exclusion context. Throughout interactive diagnosis seminars in five communities in West Side of Natal with six hundred teenagers, it was detected the need to work with family relationships. In order to build the methodological corpus a range variety of procedures were done such as: interviews, focal groups and psychosocial questionnaires with nine local young leaders. The purpose to understand data guided the research through the theory of social imagery and pointed out the following themes: conceptions, relationship, roles, family projects. Live stories of these young population reveals conflicts when it comes to the configuration of family ties, far from the family model stated by society. Family is also, in their perception, an important space to the development of affection, in experiences of all sorts, affecting personality development and determining behaviors in local contexts. The research concludes stating the urge to comprehend this academic work as a way to fight against symbolic and emotional poverty in family context producing discussions and critical reflection in a permanent relation between juvenile social vulnerability (characterized by lacks of all orders) and potential

Caracterização de poliacrilamida parcialmente hidrolisada em regime concentrado

A partially hydrolyzed polyacrylamide (HPAM) is a copolymer composed of acrylamide and sodium acrylate. Due to its wide range of applications there are different methods for its quantification and characterization in solution systems. Evaluation of C* is important to describe the transition from dilute to semi-dilute, behavior, when the solution will have its characteristic viscosity at concentrations above C*. This dissertation describes the determination of the critical concentration of overlap C* by potentiometry of partially hydrolyzed polyacrylamide - HPAM under acidic conditions. Based on the law of mass action and the proper treatment of the constant of aggregate formation, polymer molecular weight, degree of polymerization and hydrolysis were calculated. The inflection point was determined by the intersection of the resulting equation and mathematical development, statistically satisfy the experimental points relating the number of moles of monomers (n), equilibrium constant of formation of the entanglements (K*), pH, C* and acidity constant of the polymer (Ka). The viscometric parameters of C* showed a percentage difference compared to potentiometers. The results for the determination of C*, and degree of copolymerization molar mass proved to be a simple alternative for the characterization of polymers with protonated monomers and water soluble

A dívida da vida: redes clientelistas na saúde "de favor"

The relationship between mayors and patients Who use a Casa de Apoio in Natal, RN, shows us some traditional political features anda t the same time happens in na urban and modern context, regulated by a formal institution, the State. The Oestana, as is named this Casa de Apoio, offers daily that are paid by some City Halls located in the West of Rio Grande do Norte where people go away to capital from which they have medical and hospital care. This assistance includes paid services like accommodation, food, transportation, etc., as well as services that aren´t paid as information, support and hospital material, for example. When the patients access these service, they will gain a debt with a services provider (the mayor) which its eventually paid with the vote in the municipal elections. The goal is to understand the social, the political, the symbolic and mainly the life meaning of this relationship. Our research was developed by interviews with Oestanas users and regular visits to this house that showed a political bond regulated by moral and subjection, but is reconfigured by new social categories as the affection and the logical networks.

Recursive hierarchic segmentation analysis of bone mineral density changes on digital panoramic images

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

The Hamilton-Jacobi approach to Teleparallelism

We intend to analyse the constraint structure of Teleparallelism employing the Hamilton-Jacobi formalism for singular systems. This study is conducted without using an ADM 3+1 decomposition and without fixing time gauge condition. It can be verified that the field equations constitute an integrable system.

Prediction of R plus R-2 gravity for the deflection of a photon passing close to the Sun

The cross-section for the scattering of a photon by the Sun's gravitational field, treated as an external field, is computed in the framework of R + R-2 gravity. Using this result, we found that for a photon just grazing the Sun's surface the deflection is 1.75 which is exactly the same as that given by Einstein's theory. An explanation for this pseudo-paradox is provided.