795 resultados para Matemática-ensino


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ades de natureza investigativa contribuem para a aprendizagem matemática de alunos do ensino secundário. O estudo incidiu sobre uma turma do décimo primeiro ano de escolaridade do curso de línguas e humanidades. Foram trabalhadas três atividades no âmbito do capítulo Modelos Populacionais. Estas foram desenvolvidas com o auxílio de tecnologia, nomeadamente, calculadora gráfica e computador através da exploração do software Graph 4.4.2, no sentido de motivar os alunos e facilitar a compreensão dos conteúdos abordados. Tendo em conta que um dos objetivos deste estudo é analisar as atitudes reveladas pelos alunos aquando da realização das propostas, os dados obtidos são constituídos essencialmente por pormenores descritivos de tal forma que foi aplicada uma metodologia de natureza qualitativa através da observação participante. A utilização da tecnologia motivou os alunos, que se mostraram desde logo entusiasmados com a realização das atividades. Foi também visível, ao longo da realização das propostas, o desenvolv

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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

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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

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In this thesis I present the prototexto notion and to I base as a complex system while strategy of knowledge construction and reconexion of you know in physics teaching. Prototexto is a poetic narrative of the science, proposal and used initially as "instrument of creative" learning for students apprentice of science of the medium and technical teaching of the Vitória da Conquista's CEFET-BA, in the period of 1997-2004. Later become pregnant as a strategy of knowledge construction, in the Universidade Estadual da Bahia - UESB, the prototexto notion configures a complement to the mathematical formulation. The proposal of a poetic narrative of the science is that the apprentice of science starts to organize in an aesthetic-literary way your knowledge, dispersed in disciplines, starting from a theme of the physics. The prototexto emerges of my reflections concerning the classic science, identified for Edgar Morin as tends a thought excessively numeric, and that it has been reproduced in physics teaching, in most of the schools, limiting him/it to an order pattern with the mistake absence. They are operations of the prototexto: the poetic language, the pedagogic stamp, the unfinished of the argument, the system character and the apprentice's of science inclusion as subject implicated in the construction of the knowledge. the theoretical foundations are based Morin's proposition of the method as strategy, the beginning of the complementarity of Niels Bohr in conceiving excluding categories as face of a same phenomenon and the conception of creative time of Ilya Prigogine that enunciates the alliance among the nature and the man that it describes her

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This PH.D. thesis is an attempt to show the beginning, evolution and unfolding of the making of a pedagogical work proposal based on culturally-built knowings in the heart of a traditional community, having as one of its starting points the knowings and doings experienced by dish-making women from Maruanum living in the city of Macapá, State of Amapá, Brazil. This proposal is strongly associated with the need we have to think about the nature of (ethnological)-mathematical knowledge generated by particular communities and about the way such knowledge can be discussed, worked out, and validated in learning environments, regardless of the level of instruction and the constraints imposed by government programs and educational institutions. Among its theoretical foundations are studies on instrumental activities that are typical of the Maruanum ceramics and investigative studies from the point of view of ethnomathematics. Methodological development took place with the application of activities, where traditional and instrumental knowledge observed in the production of ceramics had been adapted for and brought into the school environment , participative observation, as well as data collecting and organization techniques, such as interviews, statements, and audio an visual recordings. Analysis of the data collected focused on the relationship between the data-generating potential and the purpose of this study. Our aim is to make and estimate of the potential contributions from local situations and/or problems it would possibly bring to the formative learning of people involved in the educational processes of these communities, with a view to a spatial and temporal transformation of reality

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Les connaissances de la tradition et position de la Science dehors pour un non-hiérarchique dialoguez qui frappe pour les distinguer mais ils sont undésavouer inséparable étant donné les compléments ils composent. Cet essai assume la possibilité de ce roi de dialogue dans un place spéciale: la classe. Sur ce qui vient au connaissance de la tradition, le centre remarquable est pour la construction de bateaux du travail manuel, una pratique culturellement déployé dans la ville d'Abaetetuba, dans le État de Pará, Brésil. En revanche, la Science est concentrée par le le contenu d'école a adopté dans l'Ensino Fundamental (École primaire). La construction du dialogue est faite en utilisant des activités de l'enseignement qui accentuez des aspects géométriques (solide, géométrique, angles et symétries) aussi bien que par information qui implique le tableau, poésie, histoire, géographie et physique - les deux inspiré dans le chiffre de bateau résumé dans un CD-ROM interactif. Les activités ont eu lieu dans D'Escola Ensino Pedro Teixeira Fondamental (Abaetetuba-Pa), avec étudiants du 6e niveau (plus spécifiquement avec un groupe de 13 étudiants) d'août à octobre2004. Ethnomathématiques et transdisciplinarité sont le support théorique sous-jacent du projet. Dans résumé, c'est possible pour dire que l'interaction entre Science et Tradition, à travers activités au-delà lesquelles vont le le contenu a restreint à mathématiques d'école, contribuées à,: identifiez le contenu a appris pas sur dans série antérieure; renouveler le rôle joué par école dans ses fonctions didactique pédagogiques; réduire le isolement entre information passée historique et les étudiants présent culturel; indiquer des obstacles à l'érudition des mathématiques intéresser aux aspects cognitifs et behavioristes; et provoquer un participation affective qui rôle principal à la qualité d'apprendre l'école contenu aussi bien que les connaissances de la tradition

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The object of study of this thesis is the use of (self)training workshops as a fundamental process for the constitution of the teaching subject in mathematics education. The central purposes of the study were to describe and analyze a learning process of mathematics teachers supported by the training-research methodology, which procedures have been affected with the practice of (self)training workshops as a way of collaborating to the constitution of the teaching subject in Mathematics Education. The survey was conducted with a group of teachers in the city of Nova Cruz, Rio Grande do Norte through a process of continued education realized in the training workshops having as main goal the realization of the group s (self)training sessions in order to lead participants to the extent of their autonomy in their personal and professional transformations. The results obtained in the formative processes have shown the need to develop activities of mathematics teaching as a contribution to overcome the conceptual difficulties of the teachers, apart from their (self)reflections about themselves and the educational processes in which they belong. The results raised some propositions about (self)training workshops that may be incurred in practices to be included in the curriculum frameworks or materialize as a strategy of pedagogical work in training courses for teachers of mathematics. Also, they can constitute an administrative and educational activity to be instituted in the public schools of Basic Education

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A tese tem como objetivo descrever e analisar características e princípios dos padrões das rendas de bilro de modo a estabelecer relações com a Matemática escolar, principalmente, no que se refere aos tópicos como Geometria, simetria, isometria, área, perímetro, entre outros. Desse modo, elaboramos atividades didáticas, com base na Matemática explorada nos padrões da criação da renda de bilro, visando concretizar um exercício investigatório nas aulas de Matemática, de modo que, sejam estabelecidas relações conceituais entre a prática investigada e os conteúdos da Matemática escolar. Para satisfazer esses objetivos, buscamos apoio metodológico na pesquisa bibliográfica, do tipo documental em catálogos como o da Professora Valdelice Girão (1984) e também o de Dawson (1984). Realizamos também a pesquisa empírica durante as visitas ao Museu do Ceará e ao Centro das Rendeiras na Prainha, em Aquiraz, no Ceará. Para realizar as atividades didáticas, apoiamo-nos em Mendes (2009). Consideramos relevante essa abordagem de ensino porque pressupõe a experiência direta do aprendiz com situações reais vivenciadas, nas quais a abordagem instrucional é centrada no aluno. Desse modo, concluímos que para o ensino de conteúdos como Geometria, simetria, isometria, relação entre perímetro e área, entre outros que são abordados na Educação Básica, os modelos decorrentes da criação renda de bilro e outros modelos já descritos na tradição cearense podem ser usados como artefato cultural na criação de atividades didáticas

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The present study describes theoretical practical relationships between development and application of activities in Mathematics education. It s proposed a methodological approach to Mathematics in the first grade of Ensino Médio, supported by an experiment involving Irrational Numbers education by using constructive activities, applied obeying an educational sequence. Constructivism is used as an important theoretical reference in teaching learning process of Mathematics. The methodological intervention was done with two classes of students of the first grade of Ensino Médio, in two public schools, a state one and a federal one, located on the city of Natal, Rio Grande do Norte. The development, application and testing of the activities used on this experiment led us to think more profoundly about the value of constructivism ideas and understand that the use of activities that obey an educational sequence favors the learning. It s also discussed the research results, commented on a way to contribute to the advances of the proposal and it s more constant use. The participation and testing of the students were analyzed and judged using Skemp s Instrumental Understanding and Relational Understanding concepts. The results of the research were considered good, so we believe this methodological intervention can be used more frequently in the classes of Ensino Médio and also be applied to teachers in courses of initial education and continuous formation

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To think about a school that is for everyone has been a challenge for many people connected to education worldwide demanding from researchers of each level of knowledge an association to such effort. The study presented on this paper unites itself to the voices, movements and researches of these scholars, seeking to contribute on building possibilities on which mathematics can be thought and worked on schools in order for every student to learn, whether they have some sort of deficiency, disorders, syndromes or not. This essay has the goal to investigate the possibilities of inclusive pedagogical practices mediated by math games with rules, developed and used throughout the Universal Design perspective; a qualitative research took place with a collaborative methodology that involved managers, teachers and students from a public school situated on the city of Natal/Brazil. On the investigation math games with rules were developed and made according to the Universal Design concept, starting from initial studies which articulated theoretical groundings to the reality of school and the teacher s conceptions. After that, classes using these tools were planned collectively which oriented inclusive pedagogical practices of classes from the 1st to the 4th year of elementary school. Throughout the process many instruments such as: tape recording, video footages, notes from the researcher; the teachers and the students were used for constant work evaluation and also to record the research data. In the end, the data indicated effective contributions of the mediated pedagogical practices by games with rules under the perspective of Universal Design for Inclusive Mathematics Education

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This text results of a research in an Education Doctorate about teachers, professional background, formation, teaching knowledge and abilities. In this text, it s described the history of a study group in mathematics education composed by teachers who teach mathematics in the 2nd cycle of Ensino Fundamental (5th year of schooling), all belonging to the same school of the municipal public schools network. It presents the trajectory of the collaborative group, in all particularities, singularities, and the constant search to become collaborative. This trajectory was marked by the stories of it s participants in the ceaseless path to constitute teachers, by the sharing of knowledge, by the process of collaboration, by the thinking about the teaching practice, and by the personal and professional improvement of the teachers that form the group. The interpretative and qualitative research had as its investigation field the study group. The data supplied by the collect instruments indicate us that the collaboration between the teachers, the access to specific knowledge of mathematics area, the reflections about the teaching practice in a given context, are paths that lead to and make possible the re-elaboration of the teaching skills by teachers that teach mathematics to the first years

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Esta dissertação investiga como a prática da formação continuada em Matemática dos professores do Núcleo de Educação da Infância/Colégio de Aplicação (NEI/CAp) tem possibilitado a construção do currículo da Matemática para o ciclo de alfabetização nessa instituição. Assumimos os princípios metodológicos da abordagem qualitativa com ênfase na pesquisa colaborativa. Privilegiamos atividades de formação continuada organizadas em sessões de estudos e reflexões sobre a prática pedagógica que envolveram todos os partícipes. Para a construção dos dados realizamos a escolha de instrumentos e procedimentos metodológicos como a entrevista individual e as sessões reflexivas de videoformação e de estudo. Com a intensão de responder a questão central da pesquisa definimos duas categorias de interpretação: a formação continuada em Matemática dos professores do NEICAp dos anos iniciais do Ensino Fundamental e a construção do currículo da Matemática dos anos iniciais do Ensino Fundamental nesta escola. Constatamos que a prática da formação continuada em Matemática acontece dentro da própria instituição e tem como interesse, além da formação permanente dos seus professores, o desenvolvimento da escola e a aprendizagem dos alunos. Avaliamos que por meio de estudos e reflexões sobre as práticas docentes, análises de propostas pedagógicas de Secretarias de Educação e de outros documentos oficiais do Ministério da Educação, em momentos de formação continuada em contextos vivenciadas pelos professores do NEI/CAp, vem sendo possível construir o currículo desta instituição e, consequentemente, a sua proposta curricular, na qual privilegiamos a área da Matemática

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Because of social exclusion in Brazil and having as focus the digital inclusion, was started in Federal University of Rio Grande do Norte a project that could talk, at the same time, about concepts of collaborative learning and educational robotics , focused on children digitally excluded. In this context was created a methodology that approaches many subjects as technological elements (e. g. informatics and robotics) and school subjects (e. g. Portuguese, Mathematics, Geography, History), contextualized in everyday situations. We observed educational concepts of collaborative learning and the development of capacities from those students, as group work, logical knowledge and learning ability. This paper proposes an educational software for robotics teaching called RoboEduc, created to be used by children digitally excluded from primary school. Its introduction prioritizes a friendly interface, that makes the concepts of robotics and programming easy and fun to be taught. With this new tool, users without informatics or robotics previous knowledge are able to control a robot, previously set with Lego kits, or even program it to carry some activities out. This paper provides the implementation of the second version of the software. This version presents the control of the robot already used. After were implemented the different levels of programming linked to the many learning levels of the users and their different interfaces and functions. Nowadays, has been implemented the third version, with the improvement of each one of the mentioned stages. In order to validate, prove and test the efficience of the developed methodology to the RoboEduc, were made experiments, through practice of robotics, with children for fourth and fifth grades of primary school at the City School Professor Ascendino de Almeida, in the suburb of Natal (west zone), Rio Grande do Norte. As a preliminary result of the current technology, we verified that the use of robots associated with a well elaborated software can be spread to users that know very little about the subject, without the necessity of previous advanced technology knowledges. Therefore, they showed to be accessible and efficient tools in the process of digital inclusion

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Este artigo tem como tema principal as concepções dos professores de Matemática. Considerando o termo concepção a partir do pragmatismo de Peirce, elabora-se um conjunto de parâmetros metodológicos - chamado de método indireto - a ser aplicado no estudo das concepções de professores de Matemática. Trata-se, em síntese, de investigar as concepções dos professores interpelando-os não sobre suas crenças, mas sobre suas práticas. Fundamentando essa abordagem indireta e explicitando-a em sua natureza qualitativa, o artigo segue apresentando, como exemplo, um exercício desse método indireto: um estudo sobre os critérios que os professores utilizam quando escolhem livros-texto para sua sala de aula, abordando, conseqüentemente, quais concepções de Matemática e de seu ensino e aprendizagem tais critérios desvendam. Partindo de depoimentos de professores de Matemática, o estudo indica que os professores agem com certa independência quando escolhem os materiais utilizados em suas atividades docentes. Buscam, ao mesmo tempo, apoio em uma vasta gama de livros didáticos, desconsiderando as particularidades de cada obra e as abordagens e perspectivas defendidas por seus autores. Embora submetam-se ao livro didático - considerado uma referência legítima e segura -, os professores o subvertem, buscando adequá-lo ao que consideram correto. Dessa constatação, algumas das concepções dos professores podem ser realçadas: o aluno, via de regra, é avaliado e classificado pelas lacunas que apresenta em relação aos conteúdos. Dessa postura, segue a valorização da precedência lógica dos conteúdos, de sua apresentação linear, e a defesa de pré-requisitos que viabilizariam o ensino e, conseqüentemente, implicam a legitimidade de aulas predominantemente expositivas.

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This present study aimed to examine the use of games with rules in working with math education in regular classes included in Elementary School, in the municipal education schools of Natal/RN, observing the learning process and development of all students, especially those with disabilities. The theoretical references used are based on Vygotsky's works and other authors from the historical-cultural perspective, as well as researchers in the field of Inclusive Education and Mathematics Education. The investigation was based on the qualitative research guidelines, with the application of semi-structured interviews with educational coordinators and teachers from the schools involved as well as classroom observations, looking for, in the speeches of those involved and in their teaching practices, elements to reflect on the Mathematics Inclusive Education, the use of games with rules -starting from its goals, the participation of disabled students, the pedagogical mediations, up to its accessibility - and from the learning of disabled students. The analysis results showed that the concepts underlying the development of inclusive teaching practices still refer to the clinical-medical paradigm, understanding the student with disabilities from their deficiencies; which teachers use, in their majority, the mathematical games with rules in their classes, but which the teaching mediation, during these activities, still needs to be qualified so that they can, effectively, contribute to the learning and development of all students; students with disabilities do not always participate in games with others colleagues; games with rules are rarely accessible; and that the Universal Design principles are not adopted in the selected classrooms for this study. Thus, it is clear that much remains to be done so that Mathematics Education can contribute to the learning and development of all students, and among those actions the teacher continuing education is recommended