Correspondências científicas como uma relação didática entre história e ensino de matemática: o exemplo das cartas de Euler a uma princesa da Alemanha

Lettres àune Princesse d'Allemagne sur divers sujets de physique et de philosophie (Letters to a Princess of Germany on various topics of physics and philosophy) is the work taken as an object of study of this thesis. It is a literary success written in the eighteenth century by the Swiss mathematician and physicist Leonhard Paul Euler (1707-1783) in order to meet a request from the Prussian king, Frederick II, the Great (1712-1786) to accept to guide the intellectual education of his niece, the young princess Anhalt-Dessau (1745-1808). The method of teaching and learning through letters elected to the education of the German monarch resulted in a collection of 234 matches in which Euler theory is about music, Philosophy, Mechanics, Optics, Astronomy, Theology and Ethics among others. The research seeks to point out mathematical content contained in this reference work based on the exploitation and adaptation of original historical works as an articulator of development activities for teaching mathematics in basic education and in accordance with the National Curriculum Parameters of Mathematics (NCP) work. The general objective point out the limits and didactic potential of Lettres à une Princesse d'Allemagne sur divers sujets de physique et de philosophie as a source of support for teachers of basic education in developing activities for teaching mathematics. The discussions raised point to concrete possibilities of entanglement between the extracted mathematical content of the bulge of the work with current teaching methodologies from resizing the use of letters according to Freire's pedagogical perspective of the correspondence, and especially the use of new communication channels in the century XXI, both aimed at dialogue and approximation between those who write and those who read.

Avaliação funcional e estrutural de um novo peptídeo antimicrobiano do escorpião Tityus stigmurus

In Brazil, there is a high incidence of venomous animals. Among them, scorpions are highlighted by their medical importance, and for being their venom a source of several molecules with biological and pharmacological activity not yet fully understood, including several bioactive peptides. Antimicrobial peptides (AMPs) are components of the immune system in prokaryotes and eukaryotes, used in the first line of defense against microorganisms. In the present study, we characterized the first PAM previously identified through transcriptome of the venom gland of the scorpion Tityus stigmurus, named Stigmurin. The characteristics of Stigmurin were investigated by computational modeling and construction of dendrogram. In vitro tests investigated the antibacterial, antifungal, haemolytic and cytotoxic effects of crude venom and Stigmurin. In addition, the structural characteristics of Stigmurin were investigated by circular dochroism in water, 2, 2 , 2- trifluoethanol (TFE) and sodium dodecyl sulfate (SDS) and the models were refined by molecular dynamics simulations. The results showed that the selected sequence encodes a mature protein of 17 amino acid residues and the dendrogram reveals a case of convergent evolution. The crude venom showed no antimicrobial activity, however, Stigmurin exhibited a broad spectrum of antibacterial activity, with minimal inhibitory concentrations (MIC) ranging from 31.25 and 250 µg/mL for different strains, while the hemolytic activity at these concentrations was low. In cytotoxicity studies, the crude venom was unable to reduce cell viability in VERO E6 cells; in contrast, its activity in SiHa cells was significantly higher, corresponding to IC50 of 3.6 µg/mL. For Stigmurin the concentration sable to decrease cell viability of Vero E6 and SiHa cells in 50% were 275.67 µg/mL and 212.54 µg/mL, respectively. The dichroism spectra revealed the conformational flexibility, with predominating extended and β–sheet structures, as well as a remark able renaturation ability. The results suggest that Stigmurin could be considered as a potential antiinfective drug

Consórcio público regional de resíduos sólidos do Seridó/RN: perspectivas de um novo modelo de gestão

The problem of solid waste that involves the management, the management and the allocation of these is an issue that permeates all spheres of society, which denotes environmental implications that contribute to the discussion of the environmental crisis in progress. From this perspective, this study aims to investigate and understand the role that consortia, especially the Regional Public Waste Consortium Solid Seridó/RN have waste management, in order to observe their strengths and weaknesses in order to conclude whether they are an appropriate solution to the problem of solid waste. In studying a region that is undergoing a process of institutional organization guided in the solid waste, the focus turned into an interesting academic research point. Since this is a qualitative research, readings were taken of relevant authors to the object and the following legal frameworks, namely: the National Basic Sanitation Policy (Law nº 11.445/2007), the National Policy on Solid Waste (Law nº 12.305/2010 ) and the Law on Public Consortia (Law nº 11.107/2005). The consortium region has about 290.000 inhabitants, generated 40.000 tons of waste a year. As for the final disposal of waste, all municipalities in the region deposit their waste in the open, or in garbage dumps. In the analysis of the Consortium Seridó, a list of issues that are hindering their implementation has been identified. The demands come mainly from the political sphere, but also financial, technical and logistical. It is expected that with the realization of the Consortium by building its supporting structures (overfill Station and Landfill), a new model of solid waste management is implemented.

Conteúdos de matemática do ensino médio com abordagem de raciocínio recursivo e questões do ENEM e OBMEP

In this work, we have the purpose of reminding the math teacher of High School the recursive process so that he/she can use this tool to introduce contents, using recursion as an alternative to the teaching of mathematics. For this, we used questions taken from the Exame Nacional do Ensino M´edio (ENEM) [National Examination of High School] and from the Olimp´ıada Brasileira de Matem´atica das Escolas P´ublicas (OBMEP) [Brazilian Mathematics Olympiad of Public Schools], in addition to present some contents of mathematics that are defined by recursion. In this dissertation, we also showed some activities that involved the recursive reasoning and were applied in a 3rd grade class of high school in a public school in Natal / RN.

Modelagem matemática e experimental da perda de injetividade em poços canhoneados

Water injection in oil reservoirs is a recovery technique widely used for oil recovery. However, the injected water contains suspended particles that can be trapped, causing formation damage and injectivity decline. In such cases, it is necessary to stimulate the damaged formation looking forward to restore the injectivity of the injection wells. Injectivity decline causes a major negative impact to the economy of oil production, which is why, it is important to foresee the injectivity behavior for a good waterflooding management project. Mathematical models for injectivity losses allow studying the effect of the injected water quality, also the well and formation characteristics. Therefore, a mathematical model of injectivity losses for perforated injection wells was developed. The scientific novelty of this work relates to the modeling and prediction of injectivity decline in perforated injection wells, considering deep filtration and the formation of external cake in spheroidal perforations. The classic modeling for deep filtration was rewritten using spheroidal coordinates. The solution to the concentration of suspended particles was obtained analytically and the concentration of the retained particles, which cause formation damage, was solved numerically. The acquisition of the solution to impedance assumed a constant injection rate and the modified Darcy´s Law, defined as being the inverse of the normalized injectivity by the inverse of the initial injectivity. Finally, classic linear flow injectivity tests were performed within Berea sandstone samples, and within perforated samples. The parameters of the model, filtration and formation damage coefficients, obtained from the data, were used to verify the proposed modeling. The simulations showed a good fit to the experimental data, it was observed that the ratio between the particle size and pore has a large influence on the behavior of injectivity decline.

A linguagem audiovisual do cinema como elemento integrador da arte e ciência na formação cultural dos professores de ciências e matemática

This work aims to study about the importance of cinema for cultural and professional training of teachers of Natural Sciences and Mathematics. The educational potential of cinema is emphasizing by different authors, which also reveal the teachers' training gap in this issue (media). In this study, we defend the audiovisual language of cinema as an integrating element of Arts and Science for cultural and professional training of teachers. This subject has been developed by different authors, in which the emphasis has been the importance of intelligent dialogue with the world. Specifically, the training of science teachers and mathematics, by the approach of Cinema in its formation, It envisions the possibility of minimizing the dichotomy between humanistic and scientific training, already much discussed by some researchers. Educational products contribute to an effective experience and reflection on the cultural and educational role of the Seventh Art. Considering the Cinema as a possible "bridge" between the two cultures (scientific culture and humanistic culture) and promoting ownership of audiovisual language in teacher training It was accomplished the I Exhibition - Cultural Spring: Cinema and Science Education in UFRN. The production of the booklet "Topics of History, Language and Art of Cinema for Science and Mathematics Teachers," and its application in a short course in the XXI National Symposium on Physics Teaching also aimed to contribute to the approximation of Science and Art in training teachers.

Explorando a matemática dentro da calculadora

This dissertation aims to suggest the teacher of high school mathematics a way of teaching logic to students. For this uses up a teaching sequence that explores the mathematical concepts that are involved in the operation of a calculator one of the greatest symbols of mathematics.

Explorando a matemática dentro da calculadora

This dissertation aims to suggest the teacher of high school mathematics a way of teaching logic to students. For this uses up a teaching sequence that explores the mathematical concepts that are involved in the operation of a calculator one of the greatest symbols of mathematics.

Lousa digital no ensino de matemática

Using the digital whiteboard and its resources , classes become much more motivating and interesting than those that only require the chalk or whiteboard. In the face of still images , or moving, this technology has caused a broader interaction between the student, the content taught and the teacher bringing positive and significant changes to education. In this work, we discuss the technological evolution of education, new educational technologies, the digital blackboard and your pedagogical applications inmath classes and howthe teacher can mount it using resources available at the school and other relatively low cost. Finally, we will address the concept of homography and how it is applied in its operation.

Lousa digital no ensino de matemática

Using the digital whiteboard and its resources , classes become much more motivating and interesting than those that only require the chalk or whiteboard. In the face of still images , or moving, this technology has caused a broader interaction between the student, the content taught and the teacher bringing positive and significant changes to education. In this work, we discuss the technological evolution of education, new educational technologies, the digital blackboard and your pedagogical applications inmath classes and howthe teacher can mount it using resources available at the school and other relatively low cost. Finally, we will address the concept of homography and how it is applied in its operation.

História da matemática na formação de professores: sistemas de numeração antigos

This essay aims to present and describe a proposal of insertion of Mathematics History into teachers undergraduation. Such addition proposal is expected to take place as curricular component to be taught on initial undergraduation for mathematics teachers. The selection of contents for the proposal has been based on the national Curriculum Guidelines (DCN, 2001, acronym in portugueses) for bachelor’s degree in Mathematics; the National Curricular Guidelines for Elementary School (PCNEF, 1998, acronym in Portuguese); and the National Curricular Guidelines for High School (PCNEM, 1999, acronym in Portuguese). The curricular component now presented is supposed to take a 60 hour workload, and includes the following topics: History of Ancient Numbering Systems, History of Trigonometriy and History of fuctions. For the sake of exemplification, the topic History of Ancient Numbering Systems is discussed and analysed in detail as practice for the new curricular component.

Implementação da avaliação 360º do residente no programa de residência médica em cardiologia e clínica médica do Hospital Universitário Onofre Lopes (HUOL).

A residência médica é uma modalidade de ensino de pós-graduação destinada a médicos, funciona em instituições de saúde, sob a orientação de profissionais médicos de elevada qualificação ética e profissional, sendo considerada o “padrão ouro” para a formação do especialista. A utilização do método de avaliação 360 graus na residência médica visa a avaliação integral dos médicos residentes, preenchendo lacunas que a avaliação cognitiva isolada deixa, quando utilizada como método único. Essa avaliação proporciona uma avaliação mais global do médico residente, já que inclui sua autoavaliação, avaliação pelos pares, pacientes e equipe de saúde. O objetivo deste estudo foi definir instrumentos de avaliação para implementar a avaliação 360 graus no programa de residência médica em cardiologia da UFRN e capacitar os docentes e preceptores do citado programa para avaliação de desempenho clínico do residente. Trata-se de estudo exploratório, prospectivo e descritivo, envolvendo quatro médicos residentes do programa de residência médica de cardiologia e 20 de clínica médica, esses durante o rodízio de cardiologia do programa de residência médica (PRM) em Cardiologia do Hospital Universitário Onofre Lopes (HUOL), além de 13 preceptores/docentes do PRM em Cardiologia do HUOL. Para implementação do novo modelo avaliativo na residência médica foram programadas três etapas, sendo a primeira a elaboração dos instrumentos de avaliação para a avaliação 360 grus; a segunda, o planejamento e a capacitação dos preceptores do PRM em Cardiologia do HUOL; e a terceira, o início das avaliações 360 graus dos residentes do PRM em Cardiologia e Clínica Médica, durante o período de janeiro de 2014 a março de 2015. Foram avaliados, no total, 24 residentes até o momento, sendo quatro residentes da cardiologia (três residentes do primeiro ano e um residente do segundo ano) e vinte residentes da clínica médica (sendo doze residentes do primeiro ano e oito residentes do segundo ano). Foram realizadas autoavaliações por oito residentes, sendo essas consideradas difíceis pela maioria dos residentes. A avaliação por pares foi realizada por 6 residentes, sendo o desempenho dos pares considerado acima do esperado em todos os itens da avaliação. A avaliação pela equipe de preceptores e equipe multiprofissional com feedback ao final das avaliações mostrou que os residentes de clínica médica do primeiro ano apresentam desempenho acima do esperado em relação ao humanismo, ética e profissionalismo, enquanto os do segundo ano apresentaram desempenho abaixo do esperado no item referente ao exame físico. Quanto aos demais domínios da avaliação todos estiveram dentro do esperado. Dez pacientes avaliaram os oito residentes, sendo tais avaliações positivas no sentido da qualidade da assistência prestada e das informações fornecidas pelos residentes. O método de avaliação 360 graus foi implementado na residência de cardiologia do Hospital Universitário Onofre Lopes da UFRN, tendo sido realizada em quatro residentes. A maioria dos preceptores e equipe multiprofissional da residência estão capacitados para utilização do método de avaliação.

O tema água no ensino de ciências:uma proposta didático pedagógica elaborada com base nos três momentos pedagógicos

Science and technology are increasingly present in society’s everyday living, interfering with the appearance and social relationships, which requires from the population: knowledge, skills and actions to intervene consciously and responsibly in the new socio-cultural setting. The science education might become a great ally in the task of literacy and / or enable students to live consciously and critically in a world even more influenced by scientific and technological aspects. The aim of the dissertation is to develop a didactic-pedagogic proposal for science classes of the 6th year of elementary school, based on the "Generator Theme: Water and its treatment", involving the dynamics of the Three Pedagogic Moments. Such proposal consists of a Course which embraces seven teaching modules containing topics related to Generator Theme. The modules were designed and developed with four student groups of 6th year in twelve hours / class per group, with a total of approximately 120 students. The interpretation of the developed content, resulting from the thematic modules with students, led to the creation of five analysis categories. Considering the results, it is possible to conclude it is necessary, for successful teaching practices in the school environment, that the teachers embrace the aim of teaching in a meaningful way, drawing up activities that really recognize and include the student as an active subject of the educational and learning process. The use of activities that lead students to recognize themselves as main process actors, developing practices based on previous knowledge and on their specific learning, results in a situation which they will recognize the science in their lives, learn to be reflective and aware of their attitudes about the world where they live.

Necessidades formativas em Matemática representadas nas vozes de um grupo de professoras dos anos iniciais da rede pública de ensino

Teacher training processes, initial and continuing, and professional practice of teachers who teach Mathematics in the early years are highlighted in the literature as complex, but also are regarded as the way to overcome many difficulties in teaching this component curriculum in the school stage in question. The aim of the study was to investigate how the training needs in Mathematics are represented by a group of teachers in the early years of elementary school of public health system of the city of Uberlândia, State of Minas Gerais. The research, qualitative approach, had as object of study the training needs, in Mathematics, of teachers in the early years. The research involved 16 teachers from two schools in the municipal public schools of that city. Data were collected through questionnaires, non-participant observations, semi-structured interviews followed by group and individual. Analyses were performed by means of thematic categories, founded by content analysis. Data interpretation allowed to understand training needs in mathematics that are presented to the collaborating group from their professional practice, considering the knowledge and skills necessary to teaching. It is understood that the teachers of the study group have major limitations in relation to the specific content and didactic knowledge of Mathematics content, however, the concern is that demonstrated not always being aware of it. Moreover, the difficulties experienced in teaching practice proven to be overcome by sources and non-formal training activities, primarily through more experienced colleagues in the profession. Thus, it becomes difficult to think the initial and continuing training courses for teachers without the training needs of the teaching practice is appreciated as an object of study.

O tema água no ensino de ciências: uma proposta didático pedagógica elaborada com base nos três momentos pedagógicos

Science and technology are increasingly present in society’s everyday living, interfering with the appearance and social relationships, which requires from the population: knowledge, skills and actions to intervene consciously and responsibly in the new socio-cultural setting. The science education might become a great ally in the task of literacy and / or enable students to live consciously and critically in a world even more influenced by scientific and technological aspects. The aim of the dissertation is to develop a didactic-pedagogic proposal for science classes of the 6th year of elementary school, based on the "Generator Theme: Water and its treatment", involving the dynamics of the Three Pedagogic Moments. Such proposal consists of a Course which embraces seven teaching modules containing topics related to Generator Theme. The modules were designed and developed with four student groups of 6th year in twelve hours / class per group, with a total of approximately 120 students. The interpretation of the developed content, resulting from the thematic modules with students, led to the creation of five analysis categories. Considering the results, it is possible to conclude it is necessary, for successful teaching practices in the school environment, that the teachers embrace the aim of teaching in a meaningful way, drawing up activities that really recognize and include the student as an active subject of the educational and learning process. The use of activities that lead students to recognize themselves as main process actors, developing practices based on previous knowledge and on their specific learning, results in a situation which they will recognize the science in their lives, learn to be reflective and aware of their attitudes about the world where they live.