Projeto para a criação do Centro de Memória do Instituto de Matemática Pura e Aplicada: uma história de competência, paixão e perseverança

O Instituto Nacional de Matemática Pura e Aplicada (IMPA) foi o primeiro órgão de pesquisa criado pelo Conselho Nacional de Pesquisas (CNPq), em 1952. Desde seu início o IMPA dedicou-se à pesquisa científica em matemática do mais alto nível e promoveu a formação de novos pesquisadores, promovendo também a difusão e aprimoramento da cultura matemática no país. Mais recentemente, passou a dedicar-se também às aplicações da matemática em outras áreas do conhecimento e em setores tecnológicos. Ao longo de mais de cinqüenta anos de trabalho, consolidou-se como o centro de referência em pesquisa matemática e formação de novos pesquisadores no Brasil e na América Latina. Tendo em vista a relevância da instituição para os rumos da pesquisa na área no país, este trabalho de conclusão de curso tem como objetivo estabelecer as diretrizes para a criação do Centro de Memória do Instituto Nacional de Matemática Pura e Aplicada (CEMIMPA), que seria um espaço para produção e re-elaboração de identidade e memória institucional – seguindo uma tendência que se afirma, no Brasil, desde a década de 1970. Discute-se aqui a trajetória do IMPA, os conceitos sobre memória, acervo e identidade para conseguir demarcar as linhas gerais do CEMIMPA e precisar sua importância para a instituição. A criação de um centro de memória como o que propomos, ajudaria a dar visibilidade à história do IMPA, de seus pesquisadores, suas áreas de atuação para além dos limites do cenário da pesquisa matemática, alcançando um público cada vez mais amplo e diverso. Isto poderia influenciar de forma ainda mais vigorosa a formação de jovens em geral, e em particular, de futuros matemáticos. Também poderá incrementar as pesquisas sobre a história da matemática no Brasil e a trajetória dos pesquisadores que a fizerem e dela fazem parte.

Uma compreensão sociológica do processo de alfabetização : comparando diferentes práticas

Este estudo analisa oito dimensões do currículo, da prática pedagógica e da avaliação, no ano letivo de 2004, em duas turmas de alfabetização de escolas públicas de Porto Alegre – uma Estadual e outra Municipal. O processo de alfabetização numa escola organizada por Séries é comparado com o realizado na escola organizada por Ciclos de Formação. Os resultados encontrados nestas duas práticas são comparados com os resultados obtidos numa prática de alfabetização investigada em 1984 (Veit, 1990), na mesma Escola Estadual. Esta investigação foi baseada na teoria do sociólogo Basil Bernstein (1996, 1998) e inspirada nas definições operacionais de uma pesquisa realizada em Lisboa por Morais et al. (1993). A comparação entre os três contextos educacionais apresentou diferenças acentuadas entre as ideologias de um e de outro sistema de ensino, sendo possível distinguir, na Escola Estadual, uma modalidade de Pedagogia Visível e, na Escola Municipal, uma Pedagogia Invisível.

Aprendizagem de escrita de língua de sinais pelo sistema SignWriting : língua de sinais no papel e no computador

Esta tese trata de como o sistema SignWriting pode servir de suporte a uma nova proposta pedagógica ao ensino da escrita de língua de sinais e letramento para crianças surdas usuárias da Língua Brasileira de Sinais - Libras e da Língua de Sinais Francesa - LSF. Escrever deve ser uma atividade significativa para a criança. No caso da criança surda, a escrita fundamenta-se em sua competência na língua de sinais, sem precisar da intermediação da língua oral. A criança surda, quando em um ambiente onde ela e seus colegas se comunicam em língua de sinais, efetivamente tenta escrever sinais, quando é incentivada a fazê-lo. Em nossos experimentos, usamos o sistema SignWriting para mostrar ás crianças surdas (e a seus pais e professores) como escrever textos em línguas de sinais de ambas as formas: manuscrita e impressa, usando o programa Sign Writer para editar textos em línguas de sinais. A base teórica que apóia a tese é a abordagem bilíngüe para a educação de surdos, a língua de sinais, a teoria de Piaget, e de Ferreiro quando trata das etapas da alfabetização em língua oral. Esta investigação possui um caráter exploratório, em que o delineamento metodológico é dado pela pesquisa-ação. O primeiro estudo apresenta um levantamento do processo de aquisição da escrita de sinais, em sua forma manuscrita, pela criança e jovem surdo no Brasil e na França. O segundo estudo trata da ajuda que a informática pode dar a essa aquisição e de como utilizamos os softwares de escrita de língua de sinais em aulas de introdução ao uso do computador e em transcrições da LSF de corpus vídeo para a escrita de língua de sinais. Os resultados sugerem que as crianças evoluem em sua escrita, pois muitos signos que elas escreveram não foram sugeridos pela experimentadora, nem por outro meio, mas surgiram espontaneamente. A introdução de um software como o Sign Writer ou o SW-Edit nas classes para introduzir as TI traz a essas aulas muito maior interesse do que quando usamos um editor de textos na língua oral. Também as produções das crianças são mais sofisticadas. As conclusões indicam que a escrita de língua de sinais incorporada à educação das crianças surdas pode significar um avanço significativo na consolidação de uma educação realmente bilíngüe, na evolução das línguas de sinais e aponta para a possibilidade de novas abordagens ao ensino da língua oral como segunda língua.

Novas medidas de alfabetização e suas implicações: evidências para o Brasil

Este trabalho visa investigar o analfabetismo no Brasil a partir do uso de novas medidas de alfabetização inicialmente desenvolvidas por Basu e Foster (1998). Para tanto, primeiro se avalia o perfil de alfabetização da população brasileira de acordo com a definição de analfabetismo isolado. Entende-se por analfabetos isolados aqueles indivíduos analfabetos que não convivem com pessoas alfabetizadas em nível domiciliar. Segundo, busca-se evidências de externalidades domiciliares da alfabetização de filhos em aspectos relacionados a salários e à participação no mercado de trabalho de pais analfabetos. Devido à suspeita de causalidade reversa nas estimações por Mínimos Quadrados Ordinários (MQO) das equações que relacionam as variáveis de interesse dos pais com as alfabetizações dos filhos, utiliza-se as ofertas municipais de escolas e professores de primeiro grau como variáveis instrumentais para a alfabetização. Da investigação do perfil de alfabetização constata-se que a região Nordeste é a que apresenta os piores resultados entre as regiões do país, uma vez que é a que tem a maior parcela de analfabetos isolados do total. Tal resultado condiciona políticas públicas de alfabetização para essa região. As aplicações das medidas indicam que os rankings de alfabetização por estados são sensíveis às diferentes medidas. Os resultados encontrados das estimações por MQO indicam haver correlação positiva entre as variáveis dependentes dos pais e alfabetização dos filhos. Entretanto, a aplicação da metodologia de variáveis instrumentais não confirma os resultados das estimações por MQO. Contudo, devido à fragilidade dos resultados das estimações do primeiro estágio, não se pode afirmar que não há externalidades da alfabetização dos filhos para os pais.

Alocação de recursos financeiros e a função de produção escolar

Sabe-se que o Brasil enfrenta um de seus maiores desafios no campo educacional. Projetos educacionais como o Programa Jovem de Futuro do Instituto Unibanco permitem uma investigação minuciosa a respeito de pressupostos amplamente estudados no meio acadêmico. A partir do apoio técnico em gestão e do incentivo financeiro das escolas atendidas pelo Programa pretende-se melhorar o rendimento escolar dos alunos em matemática e língua portuguesa. Com foco nas escolas de São Paulo e Rio de Janeiro participantes do Programa entre 2010 e 2012, é possível verificar impactos médios significativos no rendimento escolar das escolas participantes, com exceção do grupo de escolas de São Paulo - Capital. A alocação de recurso financeiro pelos diretores das escolas permite uma associação com a função de produção escolar. Partindo-se da hipótese de que essa função teria como insumos as categorias atribuídas pela escola no que se refere a Gestão Escolar (infraestrutura), Incentivo Professor (bonificações e premiações aos professores) e Incentivo Aluno (bonificações e premiações aos alunos) pode-se estudar o comportamento do rendimento obtido em função dos insumos empregados. A análise da alocação indicou que a variável de Investimento no Incentivo Aluno é significativo para explicar o rendimento escolar pelos exames aplicados pelo Instituto Unibanco para o ano corrente. Quando analisado o efeito do investimento acumulado no tempo, a categoria de gestão escolar se mostrou significativo para explicar o rendimento obtido pelos exames aplicados pelo Instituto Unibanco. Os diretores das escolas parecem que conhecem a função de produção escolar e sabem que investimentos na categoria de Gestão Escolar (infraestrutura) dão resultado no longo prazo, enquanto que investimentos no Incentivo Aluno apresentam mais resultado no curto prazo.

Democratização do acesso ao ensino superior: os cursos de graduação à distância na UFRN

This thesis pursuits to contextualize the theoretical debate between the implementation of public education policy of the Federal Government focused in a distance learning and legal foundations for its enforcement, in order to raise questions and comments on the topic in question. Its importance is back to provide scientific input and can offer to the academy, particularly in the UFRN, and elements of society to question and rethink the complex relationship between the socio-economic and geographic access to higher education. It consists of a descriptive study on the institutionalization of distance education in UFRN as a mechanism for expanding access to higher education, for both, the research seeks to understand if the distance undergraduate courses offered by the UAB system and implemented at UFRN, promote expanding access to higher education, as it is during implementation that the rules, routines and social processes are converted from intentions to action. The discussion of this study lasted between two opposing views of Implementation models: Top-down and Bottom-up. It is worth noting that the documents PNE, PDE and programs and UAB MEETING reflect positively in improving the educational level of the population of the country It is a qualitative study, using the means Bibliographic, Document and Field Study, where they were performed 04 (four) in 2010 interviews with the management framework SEDIS / UAB in UFRN. The data were analyzed and addressed through techniques: Document Analysis and Content Analysis. The results show that the process of implementation of distance education at UFRN is in progress. According to our results, the research objective is achieved, but there was a need to rethink the conditions of the infrastructure of poles, the structure of the academic calendar, the management of the SEDIS UFRN, regarding the expansion of existing vacancies and the supply of new courses by the need for a redesign as the Secretariat's ability to hold the offerings of undergraduate courses offered by the Federal Government to be implemented in the institution. It was also found that levels of evasion still presents a challenge to the teaching model. Given the context, we concluded that the greatest contribution of UAB and consequently UFRN by distance learning for undergraduate courses (Bachelor in Mathematics, Physics, Chemistry, Geography and Biological Sciences, beyond the bachelor's degrees in Business and Public Administration ) is related to increasing the number of vacancies and accessibility of a population that was previously deprived of access to university

Eleição nas escolas: uma análise do impacto do diretor eleito sobre o desempenho educacional no Estado da Bahia

In Brazil, the selection of school principals is set in a decentralized manner by each state and city, such that processes may vary with time for a specific locality. In the state of Bahia, school principals were appointed by a higher political hierarchy until 2008, when schools under state administration started selecting principals by elections. The main goal of this work is to evaluate whether changing this specific rule affected students proficiency levels. This is achieved by using a panel data and difference-in-differences approachs that compares state schools (treatment group) to city schools (control group) that did not face a selection rule change and thus kept having their principals politically appointed. The databases used are Prova Brasil 2007, 2009 and 2011, the first one prior and the other two former to the policy change. Our results suggest that students attending schools with principals that are selected and elected have slightly lower mean proficiency levels both in mathematics and in portuguese exams than those attending schools with appointed principals. This result, according to the literature, could be related to perverse effects of selecting school administrators by vote, such as corporatism, clientelism and politicization of the school environment

Família, aluno e professor: as forças tipológicas da educação básica na região metropolitana de Natal

This work was developed in the research line: "The habitus of study: builder of a new reality in the basic education of metropolitan area Natal" which is being developed with the support of CAPES by the Centre for Education. Acts, especially the problem of academic performance of students in basic education of the public in the Metropolitan Region of Natal (RMN). Thus, the aim of this paper is to construct a typology of students in the 9th year of basic education, attending the public schools (state or municipal) of MRN, 2009, and assess, according to these profiles, what personal characteristics student and their families: economic, social and cultural capital as well as teaching practices create environments capable of favoring a good educational development as measured by the performance obtained in the assessments in mathematics and English language. The data used were provided through the microdata Brazil Exam 2009 held by INEP. We used the methods Grade of Membership (GoM) for construction of profiles relevance of students according to the characteristics already mentioned. With these profiles was verified, which were effectively generating good performance in school curriculum components evaluated. The findings indicate that students belonging to the profile considered good environment, able to achieve better school performance both in Portuguese as in Mathematics, compared to the extreme profiles and adverse deficit

Olhares sobre a formação do professor de matemática. Imagem da profissão e escrita de si

The main focus of this thesis is the formation of a mathematical teacher at a college institution. The general aim is to describe and to analyze the formation process of a mathematical teacher which is an undergraduate student in Mathematics at the Instituto de Educação Superior Presidente Kennedy IFESP, in Natal-RN. It is based on a qualitative ethnographic approach, and has its theoretical anchorage in the (auto)biographical narratives, the social representative theories, and the mathematical education. The number of participants in this investigation was 12 undergraduate students, which corresponds to 25% of the total number of students. The corpus utilized in our analysis included 48 (auto)biographical essays, 12 (auto)biographies (formation's memories), and 12 contextualization files, besides the research's diary. The sources were obtained from the whole program of studies, i.e. from November 2003 to December 2006. The analysis revealed that the reminiscences of the 12 students' academic trajectory influenced their professional formation, since their images of a mathematical teacher were intrinsically related to the one they had before. These representations were being either demolished or constructed in a network along the assertive image of their profession, changing afterwards the mathematical representation and the teaching way of this discipline. Our study also shows that the beginning of their teacher career was marked by mechanical practices influenced by their old teachers. The (trans)formation of themselves and their teaching practices happened in a smooth way as soon as they increased their knowledgements in Mathematics, and it reflected upon the way they learned mathematics. The writing of their (auto)biographies helped the set up of new knowledgements, leaving to a self-consciousness as well as a self-formation, and contributed for the construction of a new way to see and to live the profession. Therefore, a mathematical teacher, for the undergraduate students of the IFESP involved in this work, is made at the interface of the familiar, academic, and professional context, besides the reflexive writings about the formation path, the way of life and the relationships among them

Pedagogia etnomatemática : ações e reflexões em matemática do Ensino Fundamental com um grupo sócio cultural específico

mongst the trends in Mathematics Education, which have as their object a more significant and criticallearning, is the Ethnomathematics. This field of knowledge, still very recent amongst us, besides analyzing an externalist history of the sciences in a search for a relationship between the development of the scientific disciplines and the socio-cultural context, goes beyond this externalism, for it also approaches the intimate relationships betwe_n cognition and culture. In fact, the Ethnomathematics proposes an alternative epistemological approach associated with a wider historiography. It struggles to understand the reality and come to the pedagogical action by means of a cognitive approach with strong cultural basis. But the difficulty of inserting the Ethnomathematics into the educational context is met by resistance from some mathematics educators who seem indifferent to the influence of the culture on the understanding of the mathematics ideas. It was with such concerns in mind that I started this paper that had as object to develop a curricular reorientation pedagogical proposal in mathematics education, at the levei of the 5th grade of the Ensino Fundamental (Elementary School), built from the mathematical knowledge of a vegetable farmers community, 30 km away from the center of Natal/RN, but in accordance with the teaching dimensions of mathematics of the 1 st and 2nd cycles proposed by the Parâmetros Curriculares Nacionais - PCN: Numbers and Operations, Space and Form, Units and Measures, and Information Treatment. To achieve that, I developed pedagogical activities from the mathematical concepts of the vegetable farmers of that community, explained in my dissertation research in the period 2000 through 2002. The pedagogical process was developed from August through Oecember 2007 with 24 students of the 5th Grade of the Ensino Fundamental (Elementary School) of the school of that community. The qualitative analysis of the data was conducted taking into account three categories of students: one made up of students that helped their parents in the work with vegetables. Another one by students whose parents and relatives worked with vegetables, though they did not participate directly of this working process and one third category of students that never worked with vegetables, not to mention their parents, but lived adjacent to that community. From the analyses and results of the data gathered by these three distinct categories of students, I concluded that those students that assisted their parents with the daily work with vegetables solved the problem-situations with understanding, and, sometimes, with enriching contributions to the proposed problems. The other categories of students, in spite of the various field researches to the gardens of that community, before and during the pedagogical activities, did not show the same results as those students/vegetable farmers, but showed interest and motivation in ali activities of the pedagogical process in that period

Uma análise histórico-epistemológica do conceito de grupo

This work aims to analyze the historical and epistemological development of the Group concept related to the theory on advanced mathematical thinking proposed by Dreyfus (1991). Thus it presents pedagogical resources that enable learning and teaching of algebraic structures as well as propose greater meaning of this concept in mathematical graduation programs. This study also proposes an answer to the following question: in what way a teaching approach that is centered in the Theory of Numbers and Theory of Equations is a model for the teaching of the concept of Group? To answer this question a historical reconstruction of the development of this concept is done on relating Lagrange to Cayley. This is done considering Foucault s (2007) knowledge archeology proposal theoretically reinforced by Dreyfus (1991). An exploratory research was performed in Mathematic graduation courses in Universidade Federal do Pará (UFPA) and Universidade Federal do Rio Grande do Norte (UFRN). The research aimed to evaluate the formation of concept images of the students in two algebra courses based on a traditional teaching model. Another experience was realized in algebra at UFPA and it involved historical components (MENDES, 2001a; 2001b; 2006b), the development of multiple representations (DREYFUS, 1991) as well as the formation of concept images (VINNER, 1991). The efficiency of this approach related to the extent of learning was evaluated, aiming to acknowledge the conceptual image established in student s minds. At the end, a classification based on Dreyfus (1991) was done relating the historical periods of the historical and epistemological development of group concepts in the process of representation, generalization, synthesis, and abstraction, proposed here for the teaching of algebra in Mathematics graduation course

Registro da atuação do movimento dos atingidos por barragens nos reassentamentos de Acauã: a alfabetização de jovens e adultos

This work contains the problematic of sub-education among the population that was excluded from school attendance in the regular time, contributing to knowledge production about educational practices developed in EJA (the Young and Adult Education). It focuses on the Pedagogical proposal and on the experience in young and adult literacy in the context of the mobilization of people affected by dam building. It depicts the international, national and regional mobilization against huge dams building and the emergence of the Movement of Dam Affected People (MAB), highlighting their general project and registering their teaching performance, particularly in young and adult literacy. In methodological and theoretical approaches, two interconnected categories are considered: the historical entirety, essentially theoretical, and the young and adult education practice. Based on the entirety, it outlines a contextualized explanation about the stakeholder s situation and, respecting the second category, which is part of the first one, places literacy as one of the basic aspects of an omnilateral man upbringing. The study broaches a wide context of dams in the world, placing the socio-environmental effects resulting from dams building in Brazil, in Northeast region and in Paraíba, and emphasizing the consequences of Acauã Dam building in the Paraíba cities of Aroeiras, Itatuba and Natuba. It presents the particular context of the population affected by Acauã, summarizing a panoramic view about the involved Paraíba cities and learning the conditions of residents relocation. It appraises the educational project and the National-MAB literacy proposal, operationalized by Paraíba-MAB in resettlements sited on Acauã s surroundings. It ensures that, besides public policies including financing, the feasibility of literacy problem solution can be completed with Pedagogical actions attached to the target people peculiarities and immediate necessities, respecting actions connected through one comprehensive and contextualized educational project. It evaluates the young and adult literacy project developed in the restricted Paraíba-MAB area, as an example of a Pedagogical action minimally contextualized. Eventually, it recommends researchers and teachers in general, that are committed to this work perspective, to pay attention to the way they articulate discussions and participation, so as to contemplate these communities expectations and necessities in Pedagogical projects and spaces based on discussion, dialogue and collective reflection

Obstáculos superados pelos matemáticos no passado e vivenciados pelos alunos na atualidade : a polêmica multiplicação de números inteiros

In Mathematics literature some records highlight the difficulties encountered in the teaching-learning process of integers. In the past, and for a long time, many mathematicians have experienced and overcome such difficulties, which become epistemological obstacles imposed on the students and teachers nowadays. The present work comprises the results of a research conducted in the city of Natal, Brazil, in the first half of 2010, at a state school and at a federal university. It involved a total of 45 students: 20 middle high, 9 high school and 16 university students. The central aim of this study was to identify, on the one hand, which approach used for the justification of the multiplication between integers is better understood by the students and, on the other hand, the elements present in the justifications which contribute to surmount the epistemological obstacles in the processes of teaching and learning of integers. To that end, we tried to detect to which extent the epistemological obstacles faced by the students in the learning of integers get closer to the difficulties experienced by mathematicians throughout human history. Given the nature of our object of study, we have based the theoretical foundation of our research on works related to the daily life of Mathematics teaching, as well as on theorists who analyze the process of knowledge building. We conceived two research tools with the purpose of apprehending the following information about our subjects: school life; the diagnosis on the knowledge of integers and their operations, particularly the multiplication of two negative integers; the understanding of four different justifications, as elaborated by mathematicians, for the rule of signs in multiplication. Regarding the types of approach used to explain the rule of signs arithmetic, geometric, algebraic and axiomatic , we have identified in the fieldwork that, when multiplying two negative numbers, the students could better understand the arithmetic approach. Our findings indicate that the approach of the rule of signs which is considered by the majority of students to be the easiest one can be used to help understand the notion of unification of the number line, an obstacle widely known nowadays in the process of teaching-learning