999 resultados para Ensino de matemática. Análise combinatória. Heurística deproblemas de análise combinatória


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Logic courses represent a pedagogical challenge and the recorded number of cases of failures and of discontinuity in them is often high. Amont other difficulties, students face a cognitive overload to understand logical concepts in a relevant way. On that track, computational tools for learning are resources that help both in alleviating the cognitive overload scenarios and in allowing for the practical experimenting with theoretical concepts. The present study proposes an interactive tutorial, namely the TryLogic, aimed at teaching to solve logical conjectures either by proofs or refutations. The tool was developed from the architecture of the tool TryOcaml, through support of the communication of the web interface ProofWeb in accessing the proof assistant Coq. The goals of TryLogic are: (1) presenting a set of lessons for applying heuristic strategies in solving problems set in Propositional Logic; (2) stepwise organizing the exposition of concepts related to Natural Deduction and to Propositional Semantics in sequential steps; (3) providing interactive tasks to the students. The present study also aims at: presenting our implementation of a formal system for refutation; describing the integration of our infrastructure with the Virtual Learning Environment Moodle through the IMS Learning Tools Interoperability specification; presenting the Conjecture Generator that works for the tasks involving proving and refuting; and, finally to evaluate the learning experience of Logic students through the application of the conjecture solving task associated to the use of the TryLogic

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To insert environmental education in the school is a very hard task, although the question has been largely discussed since some years ago. The main object of this research is limited to the way the contents of Environmental Education are inserted in school programs, as well as to assert that, as a law, it must be put in practice not only because it is obligatory, but because it is important to school programs, especially to Acaraú´s primary and secondary schools, having in view the importance of the natural resources in which schools are inserted and the development of ways to solve problems related to the quality of life of the dwellers of these places. It is important the study of the law 9795/99 on Environmental Education, passed on July 25th, 2005, by means of the decree no. 4.281, established in the Municipal Organic Law and other documents ruling the Environmental Education. Our purpose is to give orientation on Environmental Education to the above-mentioned schools aiming at the permanent formation about that subject, in order to constitute, in the future, a real net between school and community and to spread out concepts about sustainability. This way, poverty conditions should be faced as environmental problems, bringing about the relationship between natural resources and poverty. The making of shrimp beds, predatory fishing, swamp degradation and irregular occupation constitute elements to this research. The theoretic terms are based upon principles of Environmental Education, area sustainability and inter-disciplinarily and trans-disciplinarily in Environmental Sciences, which have been applied under the form of capacities and the presentation of documents, projects, maps, discussions and reflections about the mass social movements as a positive consequence of the implementation of this project

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Análisis de Ensino de la geografía usando las representaciones cartográficas en el ciclo 2º en las escuelas públicas de Navidad - RN, en la vista de la relación teo'rico-pra'ctica dividida en dos, en cuanto a la aplicabilidad verdadera de estos recursos en la educación de la geografía. Este análisis entiende una revisión bibliográfica, a la luz de teorías y de conceptos en el proceso de la educación y de aprender de la geografía y el uso de los recursos de los geocartográficos el largo de historia. El objetivo para caracterizar pertenecer al espacio de la escuela, a la escuela en la comunidad, a la educación de la geografía y al uso de los recursos cartográficos, la importancia de los recursos didácticos como ayudas de los metodológicos en la educación de la geografía, la dirección de señalar soluciones para mejorar las lecciones en Ensino básico, y comtemplaba preguntas primordiales relativas a los profesores prácticos; para la comprensión, mientras que profesional de la educación, la lucha para la valuación de la enseñanza y la educación pública; para la importancia social de la mejora de la formación de profesores de la educación básica, en el ejercicio completo de las actividades de enseñanza, y para el acceso a las fuentes y a los espacios de la investigación donde ejercemos la función del profesor del formador en el Instituto de Educación Superior Presidente Kennedy IFESP

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Este artigo traz uma reflexão acerca da avaliação em Matemática, destacando os modos pelos quais essa avaliação pode vir a ser compreendida e discutida em um curso de formação de professores da área. Explicita-se como, a partir das situações de sala de aula, o olhar para as possibilidades da avaliação pode contribuir para a formação desse professor no que diz respeito ao compreendido pelos alunos. São analisadas três situações-problema, propostas aos alunos do curso de graduação em Matemática, cujo foco é o modo de avaliar. O olhar avaliativo e o fazer Matemática são entendidos como uma forma de o aluno voltar-se para o conteúdo matemático, abrindo-se ao que, no seu lidar cotidiano, se mostra. Diz-se da importância de se considerarem os dados relevantes e o a ser conhecido nas situações de avaliação que permitem, ao professor, ler a aprendizagem do aluno em seu modo de se expressar.

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O artigo pretende mostrar os resultados de uma pesquisa cujo objetivo foi analisar o desempenho de alunos do Ensino Médio na identificação de exemplos e não-exemplos de polígonos e poliedros, tendo em vista os atributos definidores e atributos irrelevantes. Participaram da pesquisa 253 alunos, distribuídos em três séries do Ensino Médio de uma escola pública, que responderam um teste de exemplos e não-exemplos. Posteriormente, foram selecionados seis alunos para serem entrevistados sobre seus conhecimentos a respeito dos exemplos e não-exemplos. Os resultados mostraram que os participantes obtiveram uma média baixa (M = 5,59) na tarefa que exigiu a identificação de exemplos e não-exemplos de polígonos e poliedros. A análise das entrevistas mostrou que a maioria dos alunos considerou que o atributo irrelevante dos polígonos analisados não interferiu na resposta. Contudo, evidencia-se, de modo geral, que esses alunos apresentaram um conhecimento conceitual longe do esperado para esse nível de ensino.

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As novas demandas sociais e as diretrizes curriculares brasileiras para os cursos de odontologia colocam desafios à prática docente nas instituições de educação superior. Nesse contexto, investigam-se as concepções de qualidade de ensino universitário de professores que atuam como coordenadores de graduação nas faculdades de odontologia do Estado de São Paulo que possuem pós-graduação stricto-sensu, para refletir sobre os desafios da formação docente na área. Como instrumentos de levantamento de dados utilizou-se questionário, contendo perguntas abertas e fechadas e entrevista semi-estruturada, organizada para possibilitar o aprofundamento da discussão. Os dados foram descritos e discutidos mediante análise quantitativa e qualitativa, a partir das três dimensões da prática docente analisadas por Cunha (1995): político-estrutural, curricular e pedagógica. Para este artigo, focalizaram-se apenas os aspectos da dimensão pedagógica, na qual os pontos que expressam posturas mais contraditórias referem-se a métodos de ensino-aprendizagem, participação do aluno e tutoria. Os resultados apontam para concepções de ensino-aprendizagem que oscilam entre modelos tradicionais e inovadores, sinalizando pontos de conflito em relação a paradigmas que se articulam diretamente a questões curriculares e político-estruturais.

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In this paper, we consider Meneghetti & Bicudo's proposal (2003) regarding the constitution of mathematical knowledge and analyze it with respect to the following two focuses: in relation to conceptions of mathematical knowledge following the fundamentalist crisis in mathematics; and in the educational context of mathematics. The investigation of the first focus is done analyzing new claims in mathematical philosophy. The investigation of the second focus is done firstly via a theoretical reflection followed by an examination of the implementation of the proposal in the process of development of didactic materials for teaching and learning Mathematics. Finally, we present the main results of the application of one of those materials.

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This article discusses some methodological possibilities for analyzing textbooks in Mathematics Education. Its starting point was a review - which allowed us to build a general map - of the production developed by consolidated Research Groups that deal with this theme in Brazil. This map allowed us to propose a complementary/alternative guide to analyse textbooks according to a hermeneutical approach.

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This paper presents some reflections on the use of narrative analysis as a possible approach to study the History of (Mathematics) Education, mainly to interpret historical situations and biographical data. Its perspective is linked to Walter Benjamin's ideas about the figure of the narrator and how the dialogue between narrator and historian can be seen. Following the perspective of another author, Benedito Nunes, we try to establish relations among narratives, fiction and historiography, also highlighting the ideas of Jorge Larrosa regarding the transmission of experiences. Finally, our focus is turned to Antonio Bolivar and his alternative statements about why and how analysis of investigations, in which narratives are the main source of data, can be done.

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This paper presents some outcomes from research based on classroom experiences. The main themes are the use of mirrors, kaleidoscopes, dynamic geometry software, and manipulative material considering their possibilities for the teaching and learning of Euclidean and non-Euclidean geometries.

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This text aims to identify the discursive relations and the mechanisms used by sources - discourses gathered at press and specialized sites - in composing of viewpoints presented about the religious education textbooks and, a result of that, of controversial relationship built thereafter. The theoretical foundation of this work rests largely on the concepts of global semantics and constitutive intermisunderstanding (MAINGUENEAU, 1997, 2008) and discursive heterogeneity (AUTHIER-REVUZ, 1990, 1998). The research corpus consisted of four texts, three of which were published in 2010 and another in 2011, two reports and two opinion articles about the subject. From our analysis, we could see the construction of a controversial relationship between a discursive formation that challenges the teaching of religion in Brazilian public education, on the grounds that benefit the Christian faith and, moreover, one that supports the continuation of this practice and consider it important for the formation of the student and also as a promoter of diversity and equality.

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In this research we identified and compared the representations of teachers and students on teaching and learning. The objective was to determine which aspects of these representations correspond to subjects and if they differ between students with high and low academic performance. Data collection was organized through a semi-structured interview. The study included twenty teachers and forty students in the 5th year of elementary school municipal public metropolitan region of Campinas. The responses from the interviews were categorized and analyzed by using the Fisher exact test, chi-square and Proportions. The results show that teachers and students present a partial view of the factors involved in teaching and learning. The learning process is understood as an individual and social factor. Teachers and students with high performance positively represent the environment of the classroom, unlike the students with lower academic performance.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)