999 resultados para Fernando Henrique Cardoso Administration


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Alves Redol – O olhar das ciências sociais é o resultado da leitura da obra do escritor Alves Redol por antropólogos, historiadores, geógrafos, sociólogos, etnógrafos, folcloristas e outros cientistas sociais. Participam neste livro António Mota Redol, Luísa Tiago de Oliveira, Helena Neves, Cristina Santinho, Joana Alcântara, Inês Fonseca, Jorge Crespo, Paulo Dias Oliveira, Mariana Nascimento, Pedro Ferreira, Fernando Oliveira Baptista, Vítor Viçoso, David Santos, Luís Maçarico, Miguel Falcão, João Madeira, Maria Alice Samara, Carina Infante do Carmo, João Edral, António Monteiro Cardoso, Gaspar Martins Pereira, Shawn Parkhurst, Miguel Cardina, Paulo Mendes, Sónia Almeida, Domingos Morais, Filomena Sousa, João Monteiro Serrano e Paula Godinho.

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INTRODUCTION: The case definition of influenza-like illness (ILI) is a powerful epidemiological tool during influenza epidemics. METHODS: A prospective cohort study was conducted to evaluate the impact of two definitions used as epidemiological tools, in adults and children, during the influenza A H1N1 epidemic. Patients were included if they had upper respiratory samples tested for influenza by real-time reverse transcriptase polymerase chain reaction during two periods, using the ILI definition (coughing + temperature > 38ºC) in period 1, and the definition of severe acute respiratory infection (ARS) (coughing + temperature > 38ºC and dyspnoea) in period 2. RESULTS: The study included 366 adults and 147 children, covering 243 cases of ILI and 270 cases of ARS. Laboratory confirmed cases of influenza were higher in adults (50%) than in children (21.6%) ( p < 0.0001) and influenza infection was more prevalent in the ILI definition (53%) than ARS (24.4%) (p < 0.0001). Adults reported more chills and myalgia than children (p = 0.0001). Oseltamivir was administered in 58% and 46% of adults and children with influenza A H1N1, respectively. The influenza A H1N1 case fatality rate was 7% in adults and 8.3% in children. The mean time from onset of illness until antiviral administration was 4 days. CONCLUSIONS: The modification of ILI to ARS definition resulted in less accuracy in influenza diagnosis and did not improve the appropriate time and use of antiviral medication.

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Nowadays, authentication studies for paintings require a multidisciplinary approach, based on the contribution of visual features analysis but also on characterizations of materials and techniques. Moreover, it is important that the assessment of the authorship of a painting is supported by technical studies of a selected number of original artworks that cover the entire career of an artist. This dissertation is concerned about the work of modernist painter Amadeo de Souza-Cardoso. It is divided in three parts. In the first part, we propose a tool based on image processing that combines information obtained by brushstroke and materials analysis. The resulting tool provides qualitative and quantitative evaluation of the authorship of the paintings; the quantitative element is particularly relevant, as it could be crucial in solving authorship controversies, such as judicial disputes. The brushstroke analysis was performed by combining two algorithms for feature detection, namely Gabor filter and Scale Invariant Feature Transform. Thanks to this combination (and to the use of the Bag-of-Features model), the proposed method shows an accuracy higher than 90% in distinguishing between images of Amadeo’s paintings and images of artworks by other contemporary artists. For the molecular analysis, we implemented a semi-automatic system that uses hyperspectral imaging and elemental analysis. The system provides as output an image that depicts the mapping of the pigments present, together with the areas made using materials not coherent with Amadeo’s palette, if any. This visual output is a simple and effective way of assessing the results of the system. The tool proposed based on the combination of brushstroke and molecular information was tested in twelve paintings obtaining promising results. The second part of the thesis presents a systematic study of four selected paintings made by Amadeo in 1917. Although untitled, three of these paintings are commonly known as BRUT, Entrada and Coty; they are considered as his most successful and genuine works. The materials and techniques of these artworks have never been studied before. The paintings were studied with a multi-analytical approach using micro-Energy Dispersive X-ray Fluorescence spectroscopy, micro-Infrared and Raman Spectroscopy, micro-Spectrofluorimetry and Scanning Electron Microscopy. The characterization of Amadeo’s materials and techniques used on his last paintings, as well as the investigation of some of the conservation problems that affect these paintings, is essential to enrich the knowledge on this artist. Moreover, the study of the materials in the four paintings reveals commonalities between the paintings BRUT and Entrada. This observation is supported also by the analysis of the elements present in a photograph of a collage (conserved at the Art Library of the Calouste Gulbenkian Foundation), the only remaining evidence of a supposed maquete of these paintings. The final part of the thesis describes the application of the image processing tools developed in the first part of the thesis on a set of case studies; this experience demonstrates the potential of the tool to support painting analysis and authentication studies. The brushstroke analysis was used as additional analysis on the evaluation process of four paintings attributed to Amadeo, and the system based on hyperspectral analysis was applied on the painting dated 1917. The case studies therefore serve as a bridge between the first two parts of the dissertation.

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INTRODUCTION: In the last decades, a considerable geographic expansion of the leishmaniases in all regions of Brazil has been observed. The present study was carried out to identify the composition of the phlebotomine sandfly fauna and verify the seasonal variation of the main species after environmental changes occurred in São Vicente Férrer Municipality, State of Pernambuco, Brazil. METHODS: Captures were carried out during four consecutive nights of each month using Centers for Disease Control and Prevention light traps from September 2009 to September 2010. The correlation between the number of phlebotomine sandflies captured and climatic factors (temperature and rainfall) was evaluated. RESULTS: A total of 13,872 specimens belonging to 20 species were captured, of which, 6,247 (45%) were females, and 7,625 (55%) were males. Lutzomyia migonei was the most abundant species with 9,964 (71.8%) specimens, being predominant in the intradomicile and peridomicile areas with 108 (86.4%) and 9,746 (97%), respectively. In the forest remnants, Lutzomyia complexa 2,395 (65%) and Lutzomyia sordellii 770 (20.8%) predominated. The correlation analysis between the total number of sandflies captured and climatic factors did not show a significant influence on population density. CONCLUSIONS: The high abundance of Lutzomyia migonei and Lutzomyia complexa indicates the possibility of new cases of cutaneous leishmaniasis (CL).

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INTRODUCTION: The Global Programme to Eliminate Lymphatic Filariasis was launched with the goal of eliminating this disease via the annual mass drug administration (MDA) of a single dose of antifilarial drugs. Adverse drug reactions following MDA are a major factor of poor treatment adherence in several countries. This study assessed the occurrence of adverse drug reactions (ADRs) following the first round of mass treatment in two communities treated with different dosages of diethylcarbamazine (DEC) in the City of Recife, Brazil. METHODS: Population-based cross-sectional surveys were conducted in a random sample of the population living in both communities (Areas I and II). The dose of DEC recommended by the WHO (6mg/kg) was calculated based on the individual's weight-for-age. In Area II, weight differences between the genders were also considered when determining dosage. Data were obtained through interviews conducted in the first 12 to 48h and on the 5th day after MDA during household visits. RESULTS: A total of 487 and 365 individuals were interviewed in Areas I and II, respectively. The prevalence of ADRs in Area I (23.6; 95%CI: 19.1-29.5) was higher than in Area II (16.2; 95%CI:11.9-21.5)(p=0.0078). The prevalence of ADRs among females was higher than in males in Area I (p=0.0021). In Area II, no significant difference between the genders was observed (p=0.1840). Age was not associated with ADRs in either area. CONCLUSIONS: Adjusting MDA dosage schedules according to weight-for-age and sex may be may contribute to reduce the occurrence of adverse drug reactions in the population.

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Este trabalho com o título «O Canto do Cisne no Retorno do Eu ao Ato da Escrita» é um estudo comparativo que pretende investigar o fenómeno da criatividade literária na primeira pessoa, de um universo literário não convencional devidamente identificado, de acordo com a matriz dos testemunhos selecionados. O corpus principal do trabalho são dois livros de natureza biográfica, de dois escritores ibéricos, cujo propósito é testemunhar na primeira pessoa a experiência limite causada por grave fragilidade física. Não obstante o problema diagnosticado, os dois autores puderam, a seu tempo, pôr à prova a própria recuperação física e o estado de capacidade literária ao retomarem o ato da escrita para testemunharem com intimidade confessional a inevitabilidade do ato da escrita de escritores com percurso sério feito, no limite da precariedade da existência humana. A atividade literária dos autores é a sustentação indagativa para a fase adiantada de maturidade interpretativa revelada no corpus escolhido. José Cardoso Pires e José Luis Sampedro são dois “cisnes” que puderam e souberam “cantar” a conquista, ainda que temporária, sobre a morte, explicando com lucidez, cada um a seu modo, a sua experiência de finitude física, diria que em nome de todos os que, em situações análogas, gostariam de o ter feito; numa vontade exponenciada pela experiência do desconhecido, como o filósofo Paul Ricoeur que procurou testemunhar na sua escrita a experiência na primeira pessoa da finitude em estado de moribundo.A contribuição original deste trabalho para o conhecimento não se confina ao levantamento e análise comparativa dos testemunhos pessoais destes escritores de renome e de subida atividade sobre a necessidade vital e inventiva de escrever, nem tão pouco ao valor documental literário dos mesmos para a compreensão do fenómeno da atividade criativa, com e para as outras áreas do saber; remete também para o universo subsequente à receção das suas obras, às reações literárias e públicas envolventes, a depoimentos sobre o fenómeno do ato da escrita literária e à importância para o fenómeno da palavra escrita para a autopreservação física, intelectual, social e afetiva. A seleção do corpus de autores latinos contemporâneos foi feita de acordo com a contemporaneidade e a proximidade geocultural de ambos. Embora estes escritores não se conhecessem, a que tudo indica pessoalmente, tinham um importante amigo comum, José Saramago, com o qual partilhavam os mesmos ideais de justiça social. São dois altos representantes das literaturas portuguesa e espanhola conscientes da importância da cultura vizinha. Como o foram José Saramago e Miguel Unamuno.

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IntroductionThe year 2009 marked the beginning of a pandemic caused by a new variant of influenza A (H1N1). After spreading through North America, the pandemic influenza virus (H1N1) 2009 spread rapidly throughout the world. The aim of this study was to describe the clinical and epidemiological characteristics of cases of pandemic influenza in a tropical/semi-arid region of Brazil.MethodsA retrospective study analyzed all suspected cases of pandemic influenza (H1N1) 2009 reported in the Ceará State through the National Information System for Notifiable Diseases during the pandemic period between 28 April, 2009 and November 25, 2010.ResultsA total of 616 suspected cases were notified, 58 (9.4%) in the containment phase and 558 (90.6%) in the mitigation phase. Most cases were of affected young people resident in the City of Fortaleza, the largest urban center in the State of Ceará. The most frequent symptoms presented by the cases with confirmed infection were fever, cough, myalgia, arthralgia, and nasal congestion. Mortality rate was 0.0009/1,000 inhabitants and lethality was 5.6%. Deaths were observed only in the mitigation phase. Mortality rates were similar for both sexes but were higher in the age group under 5 years.ConclusionsThe study suggests that the influenza A (H1N1) pandemic in this tropical/semi-arid region had a lower magnitude when compared to states in the Southern and Southeastern regions of Brazil.

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RESUMO: Raional: A persistência à terapêutica é o tempo em qualquer antidiabético oral, desde o seu início até à descontinuação de todas as medicações ou até ao fim do período do estudo. Os objetivos deste estudo foi a análise da persistência à terapêutica no segundo e terceiro anos após início do tratamento em doentes adultos diagnosticados na região de Lisboa e Vale do Tejo e determinar o efeito de determinadas variáveis na persistência a longo prazo. Métodos: Um estudo retrospetivo não interventivo foi desenhado com base nos dados a obter do SIARS (prescrições e aquisições na farmácia) e Pordata. A persistência foi quantificada como a percentagem de doentes que continuam a adquirir pelo menos um antidiabético oral ao segundo e terceiro anos após a compra da primeira receita. A associação entre a persistência e o segundo e terceiro anos com cada uma das co-variáveis foi aferido pelo teste qui-quadrado e os odd ratios foram calculados com recurso a um modelo de regressão logística. Resultados: A persistência à terapêutica obtida foi de 80% e 62% para o segundo e terceiro anos após início da terapêutica. Odd ratios para primeiro e segundo ano: número de grupos farmacoterapêuticos diferentes (OR = 2.167, 1.807 – 2.598, p = 0.000 / OR = 1.863, 1.621 – 2.142, p = 0.000); idade (OR = 0.914, 0.772 – 1.081, p = 0.294 / OR = 0.875, 0.764 – 1.002, p = 0.054); sexo (OR = 1.163, 0.983 – 1.377, p = 0.079); número de diferentes prescritores (OR = 3.594, 3.030 – 4.262, p = 0.000 / OR = 2.167, 1.886 – 2.491, p = 0.000); instituição de prescrição (OR = 0.725, 0.698 – 0.753, p = 0.000 / OR = 0.683, 0.650 – 0.717, p = 0.000); grupo farmacoterapêutico (OR = 1.056, 1.043 – 1.069, p = 0.000 / OR = 1.077, 1.060 – 1.095, p = 0.000); relação com o médico (OR = 0.834, 0.816 – 0.852, p = 0.000 / OR = 0.799, 0.777 – 0.821, p = 0.000) e custo médio mensal por grupo farmacoterapêutico (OR = 0.954, 0.942 – 0.968, p = 0.000 / OR = 0.930, 0.914 – 0.947, p = 0.000). Conclusões: O valor da persistência à terapêutica no segundo ano é ligeiramente acima do que é mencionado na literatura e não existem dados para comparar os resultados do terceiro ano. Relativamente ao efeito das co-variáveis no segundo e terceiro anos após o início do tratamento, os resultados são sobreponíveis, sendo que o sexo não está associado à persistência ao terceiro ano.----------------------------------ABSTRACT: Background: Therapy persistence is the time on any antidiabetic medication, from initiation of therapy to discontinuation of all medications or the end of the study period. The aim of the study was to analyse the therapy persistence in the second and third years after treatment initiation in newly diagnosed adult patients in the Lisbon and Tagus Valley region and to determine the effect of several co-variables in the long term persistence. Methods: A retrospective non-interventional study based on SIARS data (drug prescriptions and acquisitions) and Pordata was designed. Persistence was quantified as the percentage of patients that continued to purchase at least one type of antidiabetic at year 2 and 3 after the date of first prescription acquisition. Association between persistence at second and third years with each of the other co-variables were verified by using the Chi-Square test and odds ratio were calculated using a regression logistic model. Results: Therapy persistence obtained was 80% and 62% for the second and third years after treatment initiation. Odd ratios for second and third years: number of different pharmacotherapeutic groups (OR = 2.167, 1.807 – 2.598, p = 0.000 / OR = 1.863, 1.621 – 2.142, p = 0.000); age (OR = 0.914, 0.772 – 1.081, p = 0.294 / OR = 0.875, 0.764 – 1.002, p = 0.054); gender (OR = 1.163, 0.983 – 1.377, p = 0.079); number of different prescribers (OR = 3.594, 3.030 – 4.262, p = 0.000 / OR = 2.167, 1.886 – 2.491, p = 0.000); institution of prescription (OR = 0.725, 0.698 – 0.753, p = 0.000 / OR = 0.683, 0.650 – 0.717, p = 0.000); pharmacotherapeutic group (OR = 1.056, 1.043 – 1.069, p = 0.000 / OR = 1.077, 1.060 – 1.095, p = 0.000); relationship with the physician (OR = 0.834, 0.816 – 0.852, p = 0.000 / OR = 0.799, 0.777 – 0.821, p = 0.000) and average cost per month and per pharmacotherapeutic group (OR = 0.954, 0.942 – 0.968, p = 0.000 / OR = 0.930, 0.914 – 0.947, p = 0.000). Conclusions: Second year therapy persistence value is slightly above of what is referenced in literature and no data was found to compare the third year value. Regarding the effect of the co-variables analysed at second and third years after treatment initiation, the results were overlapping with gender being not associated with persistence at the third year.

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ABSTRACTINTRODUCTION:This study aimed to evaluate basic sanitation and socioeconomic indicators, reported cases of malaria, and risk of contracting malaria in the Ananindeua municipality, State of Pará.METHODS:Data on basic sanitation and socioeconomic dimensions were taken from the Brazilian Institute of Geography and Statistics [ Instituto Brasileiro de Geografia e Estatística (IBGE)] 2010 census. Epidemiological malaria information was taken from the Epidemiological Malaria Surveillance Information System [ Sistema de Informação de Vigilância Epidemiológica de Malária (SIVEP/Malaria)], between 2003 and 2013 of the Ministry of Health and from the SIVEP/Malaria forms of the municipality's Endemic Diseases Unit for 2,013 cases.RESULTS:Our data do not confirm the correlation among indicators of basic sanitation, socioeconomic conditions, and water supply with malaria cases. Of the 1,557 cases evaluated, most were caused by Plasmodium vivax , with rare cases of Plasmodium falciparum and mixed infections. There were 756 notifications in 2003. The number of reported cases was sharply reduced between 2006 and 2012, but a 142-case outbreak occurred in 2013. Ananindeua municipality's Annual Parasite Index indicated low risk in 2003 and no risk in other years, and the 2,013 cases were predominantly male individuals aged ≥40 years.CONCLUSIONS:Our data confirm the non-endemicity of malaria in the Ananindeua municipality, as the Annual Parasite Indices described for the years 2004-2013 classify it as a risk-free area. However, the 2013 outbreak indicates the need to strengthen prevention, surveillance, and control activities to reduce the risk of new outbreaks and consequent economic and social impacts on the population.

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ABSTRACTWe report a case of envenomation caused by a bushmaster ( Lachesis muta) in a male child in State of Pernambuco, Brazil. The victim showed discrete local manifestations, but presented altered blood coagulation 2 hours after the bite. Ten ampoules of bothropic-lachetic antivenom therapy were administered, and 48 hours later, the patient showed discrete edema, pain, and ecchymosis around the bite and normal blood coagulation. The patient was discharged 5 days after the envenomation. The prompt administration of specific treatment was important for the favorable outcomes observed.

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The blue rubber nevus syndrome consists of multiple venous malformations in the skin and gastrointestinal tract associated with intestinal hemorrhage and iron deficiency anemia. Other organs may be involved. The causes of this syndrome are unknown. Its most common presentation is in the form of sporadic cases, but dominant autosomal inheritance has been described. It is a condition that affects both sexes equally, and its occurrence is rare in the black race. We present a case of this syndrome diagnosed in a 11-year-old patient. He had severe anemia and a venous swelling on the trunk. Similar lesions were found in the stomach, bowel, and on his foot. We emphasize the main clinical aspects: intestine, eyes, nasopharynx, parotids, lungs, liver, spleen, heart, brain, pleura, peritoneum, pericardium, skeletal muscles, bladder, and penis lesions, systemic complications that may occur to these patients which are thrombosis and calcification, as well as consumptive coagulopathy and thrombocytopenia that may occur within the nevi.

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PURPOSE: Characterization of the structural changes occurring in the pulmonary arteries resulting from surgically produced congenital diaphragmatic hernia in rabbits, with particular emphasis on the preventive effects of prenatal tracheal ligation or administration of intra-amniotic dexamethasone or surfactant. METHODS: Twenty rabbit fetuses underwent surgical creation of a left-sided congenital diaphragmatic hernia on the 24th or 25th gestational day. They were divided according to the following procedures: congenital diaphragmatic hernia (n = 5), congenital diaphragmatic hernia plus tracheal ligation (n = 5), congenital diaphragmatic hernia plus intra-amniotic administration of dexamethasone 0.4 mg (n = 5) or surfactant (Curosurf 40 mg, n = 5). On gestational day 30, all the fetuses were delivered by caesarean section and killed. A control group consisted of five nonoperated fetuses. Histomorphometric analysis of medial thickness, cell nuclei density, and elastic fiber density of pulmonary arterial walls was performed. RESULTS: Arteries with an external diameter > 100 mum have a decreased medial thickness, lower cell nuclei density, and greater elastic fiber density when compared with arteries with external diameter <= 100 mum. Congenital diaphragmatic hernia promoted a significant decrease in medial thickness and an increase in cell nuclei density in artery walls with external diameter > 100 mum. Prenatal treatments with tracheal ligation or intra-amniotic administration of dexamethasone or surfactant prevented these changes. In arteries with external diameter <= 100 mum, congenital diaphragmatic hernia promoted a significant increase in medial thickness and in cell nuclei density and a decrease in elastic fiber density. The prenatal treatments with tracheal ligation or intra-amniotic administration of dexamethasone or surfactant prevented these changes, although no effect was observed in elastic fiber density in the congenital diaphragmatic hernia plus dexamethasone group. CONCLUSIONS: Congenital diaphragmatic hernia promoted different structural changes for large or small arteries. The prenatal intra-amniotic administration of dexamethasone or surfactant had positive effects on the lung structural changes promoted by congenital diaphragmatic hernia, and these effects were comparable to the changes induced by tracheal ligation.

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RESUMO - A gestão empresarial dos hospitais é uma velha aspiração do sistema e dos profissionais da saúde em Portugal. Já o Estatuto Hospitalar de 1968 previa a organização e a gestão dos hospitais «em termos de gestão empresarial». A Lei de Bases da Saúde, de 1990, relembrava que a administração das unidades de saúde deveria obedecer a «regras de gestão empresarial». O Hospital Fernando da Fonseca, criado desde 1991, foi objecto de concessão de gestão por contrato, precedendo concurso público, a uma entidade privada, em 1995. Em 1997, o relatório do Grupo de Trabalho sobre o Estatuto Jurídico do Hospital recomendava a adopção da figura de instituto público com natureza empresarial, adequada autonomia de gestão e forte responsabilidade, podendo regular-se, em alguns domínios, por normas de direito privado. Em 1998 foi criado o Hospital de São Sebastião, em Santa Maria da Feira, com formas inovadoras de gestão, utilizando meios de gestão maleáveis. Em 1999 foi criada a Unidade Local de Saúde de Matosinhos, englobando não apenas o Hospital de Pedro Hispano, naquela cidade, mas também os quatro centros de saúde da sua área de atracção. Em 2001 foi criado o Hospital do Barlavento Algarvio, em moldes semelhantes aos do Hospital de São Sebastião. Os restantes hospitais públicos mantiveram a estrutura e regras de funcionamento convencionais. Observa-se que o modelo de gestão convencional do hospital público tem hoje consequências desfavoráveis para os cidadãos, para os profissionais que nele trabalham e também para o sistema de saúde no seu conjunto. Em 2002, uma nova lei alterou disposições da Lei de Bases da Saúde de 1990 e aprovou um novo regime jurídico de gestão hospitalar. De acordo com ele, a rede de prestação de cuidados de saúde passou a integrar vários modelos de hospitais: hospitais SPA, hospitais EPE, hospitais SA, clínicas privadas com ou sem nome de hospital, instituições e serviços geridos por entidades públicas ou privadas, mediante contrato de gestão e hospitais PPP. Analisam-se os ganhos introduzidos pelo modelo inovador de hospital SA, no que respeita ao estatuto, dotação de capital, poderes especiais, regras de controlo financeiro, regimes laborais, órgãos sociais, instrumentos de gestão e direcção técnica. Finalmente, antecipa-se um quadro analítico de oportunidades e riscos sobre este modelo. As críticas têm-se concentrado sobre a estratégia de mudança e sobre o mecanismo de escolha dos dirigentes e das respectivas chefias intermédias. Em relação à estratégia, conclui-se ser a questão mais empírica do que conceptual. Em relação à forma de identificação dos dirigentes, recomenda-se o acompanhamento crítico da experiência, salientando-se, a par do que ela pode trazer de positivo, os riscos de partidarização e instabilidade.

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O presente relatório pretende narrar todas as atividades desenvolvidas no estágio pedagógico de Maria Paula Passanha, integrado no Mestrado em Ensino da Matemática pela Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa e realizado na Escola Secundária Fernando Lopes-Graça, no ano letivo 2011/2012. Este trabalho resulta da compilação de dois documentos distintos: Parte I - Relatório de Atividades e Parte II – Relatório de Investigação. O Relatório de Atividades detalha todas as atividades desenvolvidas no decorrer do estágio, relacionadas com a prática pedagógica e no seio da comunidade escolar. O Relatório de Investigação pretende analisar as questões relacionadas com o conceito de função, as representações que os alunos privilegiam e os processos envolvidos na sua tradução, resultado de uma investigação levada a cabo na turma de estágio, em especial junto de quatro alunos com perfis distintos, segundo uma metodologia de natureza qualitativa e uma recolha de dados baseada nas observação, nas entrevistas e nos documentos. Este estudo sugere que o conceito que os alunos têm de função está intimamente ligado às imagens que eles lhe associam, uma vez que a definição formal introduzida no Ensino Básico foi dispensada. As representações privilegiadas são neste estádio apenas duas, a gráfica e algébrica, e os procedimentos e a facilidade com que os alunos efetuam a tradução entre ambas decorrem da etapa de aprendizagem em que se encontram. O recurso ao conceito definição de função, confrontado com as imagens apercebidas, prevê-se como um passo importante na tentativa de passar para uma etapa de nível superior.