O processo de aprendizagem de professores do ensino fundamental: apropriação da habilidade de planejar situações de ensino de conceitos

La investigación fue realizada con profesores de los años iniciales de la enseñanza básica, alumnos de la carrera de Pedagogía Licenciatura Plena del PROBÁSICA de Ceará-Mirim (RN). Tuvo como objetivo general el estudio de lo proceso de apropiación de esa habilidad, segundo las siguientes perspectivas teóricas: históricocultural, de L.S. Vygotsky, teoría de la actividad, de A.N. Leontiev, y la teoría de la asimilación por etapas mentales, de P. Ya Galperin. La metodología se desarrolló organizándose en tres etapas: el diagnóstico inicial, con el análisis del nivel de desarrollo de la habilidad de los profesores; el proceso formativo, con la orientación del aprendizaje, el control y la evaluación del desarrollo; y el diagnóstico final, con el análisis del nivel alcanzado en la experiencia. Los instrumentos utilizados fueron: un cuestionario, para la caracterización de los sujetos de la investigación, el planeamiento de enseñanza de los profesores y el diario de clase, donde se registraba lo que ocurrió en cada orientación y realización del proceso formativo. Los resultados referentes a los niveles iniciales del desarrollo de la habilidad han revelado un grado de espontaneidad en el planeamiento de enseñanza de los conceptos. Durante el proceso de enseñanza y aprendizaje, los profesores han expresado sus dificultades, pero también las posibilidades de mudanza para que alcanzaran un nuevo nivel de desarrollo. Para el análisis del nivel inicial y del desarrollo de las habilidades de los profesores para planificar situaciones de enseñanza con la definición y con la identificación, fueron utilizados los siguientes elementos: el dominio del concepto, el dominio de esos procedimientos lógicos y las categorías del planeamiento (objetivos, contenidos, estrategias de enseñanza, control y evaluación). En cada etapa surgieron obstáculos, pero también aspectos que han revelado la posibilidad para aprender una nueva forma de planear, con apropiación de nuevos fundamentos teóricos. La práctica docente se constituyó en un elemento que facilitó la comprensión y la apropiación de las habilidades de planear situaciones de enseñanza de conceptos mediante la definición y la identificación

O ensino de matemática no Rio Grande do Norte: trajetória de uma Modernização (1950-1980)

This work aims to describe and analyze the process of the mathematics teacher modernizing in Rio Grande do Norte, in the period from 1950 to 1980. For that, we use as theoretical foundation assumptions of Cultural History and memories of the researchers Maurice Halbwach, Ecléa Bosi and Paul Thompson. As methodological tools, we used bibliographical resources and semi-structured interviews, in order to do a historical reconstruct of the mathematics educational scene of institutions and people who taught mathematics in Rio Grande do Norte, or those who participated in the modernization of the teaching of this subject, recovering their training and its practices in teaching. For the analysis of the bibliographical resources, initially we organized in a systematic way the transcripts of the interviews and documents, which were accumulated during the research, so long our thoughts, returning to the theoretical basis of this research, through questioning of knowledge acquired and that guided the problem of our study. The analysis showed that, important moments to modernize the teaching of mathematics in Rio Grande do Norte happened such: (1) Training Course of Lay Teachers in Rio Grande do Norte, in 1965, (2) Course for Teachers in Normal Schools, in 1971 (3) Satelite Project on Interdisciplinary Advanced Communications (SPIAC) in 1973; (4) Lectures of the teacher Malba Tahan, at Natal, from the end of the 50 s, that could be analyzed through the lessons notes of the teacher Maria Nalva Xavier de Albuquerque and the narrative of teacher Evaldo Rodrigues de Carvalho and (5) Courses of the Campaign for Improvement of Secondary Education and Broadcasting (CISEB). Thereby, the modernization of the school s mathematics teaching in Rio Grande do Norte, in the period from 1950 to 1980, was given mainly by disclosure of the Discovery Method and by the Set Theory contents in Teacher Training Courses

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

Pedagogia de projetos e etnomatemática: caminhos e diálogos na zona rural de Mossoró - RN

Teaching Mathematics in a contextualized and significant manner, in the world of the child and the adolescent, requires a solid theoretical and methodological basis on the part of the researcher. The present work found this foundation in two ways: teaching with projects and ethnomathematics. It is understood that these ways have points in common, such as: the real, interdisciplinarity, teaching methods, flexibility in sequencing the curriculum and interactive learning. This makes possible a theoretical cross-fertilization, which is important for the teaching/learning of Mathematics. Those points are merged in the present proposal, making possible new strategies, distinct from those of the Traditional Teaching Methodology and giving raise to an Alternative Teaching Methodology, which is to be lived in the Mathematics classrooms. This work gives a new direction to teaching, going beyond the traditional forms of education by allowing the teaching of Mathematics to become integrated with other school subjects, resulting in significant learning. In order to implement the proposal, it is necessary to form partnerships with teachers, pupils and the whole community, so that the way can be traced by continual dialogue

Fernando Pessoa(s): ciência das sensações, pedagogia do fingimento

La dissertation prétend considérer l'hétéronymie, experimentée par le poète Fernando Pessoa, comme une stratégie cognitive pour équivaloir l'autre dans le champs de l'éducation et minimiser des persistantes antinomies dans le processus de l'apprentissage tel que sentiment et pensée, émotion et raison. Ainsi, telle stratégie se constitue en un des fondements possibles de la méthode complexe au tisser de mode dialogique et récursive la relation de l'altérité que se constitue les identités plurielles dans l'éducation lançant des bases d`une science de la sensacions pour l'exercice d'une pédagogie de la feinte

Manejo integrado da tiririca na produtividade de cana-de-açúcar

Neste trabalho, fez-se a integração do método mecânico, constituído de duas seqüências de aração + gradeação, na época seca, com aplicações complementares dos herbicidas glyphosate (aplicado por duas vezes), trifloxysulfuron-sodium + ametryne e sulfentrazone, na época das águas. Além disso, os dois últimos foram testados isoladamente, para se determinar a real necessidade da integração de métodos. A média geral do número de manifestações epígeas da tiririca na área foi de 1.433,4 m-2. Aos 90 dias após o plantio, as porcentagens de redução de manifestações epígeas da tiririca foram de 90,8, 92,3 e 95,4 onde houve integração do método mecânico com trifloxysulfuron-sodium + ametryne, sulfentrazone e duas aplicações de glyphosate, respectivamente. As reduções de tubérculos viáveis em 0,018 m³ foram de 68,5, 73,9 e 89,4%, nessa mesma época. A utilização de implementos mecânicos (arado + grade) na época seca potencializou a ação dos herbicidas trifloxysulfuron-sodium + ametryne e sulfentrazone nas águas, porém estes herbicidas já resolvem o problema do controle, evitando reduções de produção e diminuindo gradativamente o potencial de infestação, com aplicações individualizadas por época do plantio da cultura.

Reflexões sobre a construção e evolução de conceitos geométricos nas séries intermediárias do ensino fundamental

This thesis represents a didactic research linked to the Post-graduation Programme in Education of the Universidade Federal do Rio Grande do Norte which aimed to approach the construction of the geometrical concepts of Volume of the Rectangular Parallelepiped, Area and Perimeter of the Rectangle adding a study of the Area of the Circle. The research was developed along with students from the 6th level of the Elementary School, in a public school in Natal/RN. The pedagogical intervention was made up of three moments: application of a diagnostic evaluation, instrument that enabled the creation of the teaching module by showing the level of the geometry knowledge of the students; introduction of a Teaching Module by Activities aiming to propose a reflexive didactic routing directed to the conceptual construction because we believed that such an approach would favor the consolidation of the learning process by becoming significant to the apprentice, and the accomplishment of a Final Evaluation through which we established a comparison of the results obtained before and after the teaching intervention. The data gathered were analyzed qualitatively by means of a study of understanding categories of mathematical concepts, in addition to using descriptive statistics under the quantitative aspect. Based on the theory of Richard Skemp, about categorization of mathematical knowledge, in the levels of Relational and Instrumental Understanding were achieved in contextual situations and varied proportions, thus enabling a contribution in the learning of the geometrical concepts studied along with the students who took part in the research. We believe that this work may contribute with reflections about the learning processes, a concern which remained during all the stages of the research, and also that the technical competence along with the knowledge about the constructivist theory will condition the implementation of a new dynamics to the teaching and learning processes. We hope that the present research work may add some contribution to the teaching practice in the context of the teaching of Mathematics for the intermediate levels of the Elementary School

O ensino de filosofia no ensino médio mediado pela literatura sartriana

On analyse une expérience de l enseignement de philosophie dans l enseignement secondaire par la littérature. La scène d intervention a été l Institut Fédéral d Éducation, Science et Technologie du Rio Grande do Norte (IFRN), dans l année 2008. L étude à caractère qualitatif a adopté un modèle de recherche participant, dans laquelle le chercheur a intervenu dans son propre contexte de classe. On a utilisé l investigation d un ouvrage existentialiste de Jean-Paul Sartre, le roman La Nausée, comme contribution méthodologique pour l enseignement de philosophie. On a adopté le recours de la littérature avec contenu philosophique à partir de la proposition apportée para les Paramètres Curriculaires Nationaux pour l Enseignement Secondaire (PCNEM) : celle qu on ne doit ni avoir la prétention de former de philosophes professionnels ni banaliser la philosophie auprès des élèves. En partant du principe que l existentialisme a été un courant philosophique qui a utilisé la littérature entant qu expression d idées philosophiques, on a envisagé le potentiel pédagogique du voisinage communicant entre la philosophie et la littérature que lie l expérience littéraire avec les textes qui montrent aussi la discussion philosophique. L idée force a été celle de traiter concepts philosophiques a partir de la littérature comme invitation à la réflexion, en analysant l élément ludique dans la littérature comme jeu de la pensée. La pensée considérée comme action ludique arriverait parmi l idéal d en chercher de meilleures manières à comprendre la réalité en étant cet idéal esthétique assumé dans l effort d imprimer sens au chaos des expériences. Les situations pédagogiques en classe comptent fréquemment avec moment de dialogue a propos des problèmes existentiels affrontés par le protagoniste du roman, Antoine Roquentin, considérés comme questions philosophiques et débattues par l investigation dialogique tout suite après la lecture des parties du livre. Dans ce sens, on a cherché à suivre les marches de la méthode socratique dans lequel questionner e questionner à soi même soient les moles propulseurs de la réflexion philosophique. L investigation dialogique a été étendue pendant cinq rencontres de quatre-vingt-dix minutes interprétés par une analyse discursive qui a essayé d établir des rapports entre le discours de l enseignant et des élèves avec le discours de la tradition philosophique. Cette recherche a aussi envisagé à produire une réflexion sur la pratique de l auteur lui-même de l étude. Celui-ci peut-être soit l objectif le plus largement atteint : prendre conscience de l importance de la formation d un enseignant réflexif qui associe dans sa praxis le savoir faire avec la critique honnête de sa propre capacité professionnel

Utilizando processos geométricos da história da matemática para o ensino de equações do 2º grau

The present work had as principal objective to analyze the, 9th grade students understanding about the solutions of an equation of the 2° degree, using geometric processes of the History of the Mathematics. To do so, the research had as base the elaboration and application of a group of teaching activities, based on Jean Piaget's construtivism. The research consisted of a methodological intervention, that has as subjects the students of a group of 9th grade of the State School José Martins de Vasconcelos, located in the municipal district of Mossoró, Rio Grande do Norte. The intervention was divided in three stages: application of an initial evaluation; development of activities‟ module with emphasis in constructive teaching; and the application of the final evaluation. The data presented in the initial evaluation revealed a low level of the students' understanding with relationship to the calculation of areas of rectangles, resolution of equations of the 1st and 2nd degrees, and they were to subsidize the elaboration of the teaching module. The data collected in the initial evaluation were commented and presented under descriptive statistics form. The results of the final evaluation were analyzed under the qualitative point of view, based on Richard Skemp's theory on the understanding of mathematical concepts. The general results showed a qualitative increase with relationship to the students' understanding on the mathematical concepts approached in the intervention. Such results indicate that a methodology using the previous student‟s knowledge and the development of teaching activities, learning in the construtivist theory, make possible an understanding on the part of the students concerning the thematic proposal

Educação matemática, ciência e tradição: tudo no mesmo barco

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

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

Literatura de monteiro lobato no ensino de ciências

Advocating education as a humanizing task, the humanizing function of literature and the importance of scientific education, this paper proposes linking Science and Literature in Science Teaching using two specific books of Monteiro Lobato in the final series of elementary school level. Adopting the action research methodology, an interdisciplinary approach, we used the books A Reforma da Natureza and Serões de Dona Benta in two classes (8th and 9th) at Escola Estadual Professor José Mamede, located in the town of Tibau do Sul, Rio Grande do Norte. The readings were performed in Portuguese Language s course and the scientific content were discussed in Science´s classrooms. The book A Reforma da Natureza permitted to approach issues related to the environment, while the use of Serões de Dona Benta showed particularly its effectiveness in questioning the concepts of matter, mass, weight and some questions about the Nature of Science (NOS). In general, the analysis of results shows that the readings of these two books permitted interaction and dialogicity in the classroom, as well as indicates the potential of these books in contextualing and questioning the scientific content contained in it. We advise, however, the need for the science teacher be aware of the conceptual mistakes present in literary works, avoiding erroneous learning and reinforcement of alternative conceptions

Ensinar/aprender a gostar de história: saberes docentes e construção do conhecimento histórico escolar com professores de Arez-RN

This dissertation aims to analyze the relevant knowledge in countryside History teachers practice in high school and understand how these teachers themselves construct school knowledge in History, from the mobilization of different knowledge that make up teaching practice. Tree teachers from State Jacumauma High School and the researcher himself worked together in order to carry out this survey. The main theoretical-methodological elements of this research are based on assumptions of a qualitative research in cooperation. This approach was used to make possible to construct knowledge between teachers and researcher considering a less oppressive relationship as well as to help a continuous school upbringing of the individuals what can make them to understand the professional practice as an aspect in which one can exercise autonomy and criticism. The empirical research procedures were oral individual interviews, reflexive sessions and cooperative observations. Individuals speeches have presented, in some moments, teachers concerns about the educational fragmented system in which there are few opportunities to dialogic interactions among educationalists making still more difficult the dialog between school and reality surrounds it. Their assertions pointed out that relevant knowledge can be identified during the daily educational work and that they find proper reasons from the aim that each knowledge exerts in relation to the construction of professional practice. Classroom connections points out to more intense interactions between teachers and students, by recognizing affection as an important tool in order to make the interactions not so authoritarian at all. Regarding the countryside teachers understanding, the school knowledge in History is produced by sharing concerns and senses assigned by the individuals who are involved in the teaching-learning process. The referential science knowledge pervade History teaching, however they take another meaning according to specific features of the school environment. The intense and complex dynamic of the educational context makes that historical knowledge acquires specific characteristics that are constantly changing. As they change, there are some marks of elaborations and re-elaborations not only the new but also the traditional

A Proficiência escritora em matemática trabalhada nos livros didáticos dos 4º e 5º anos do ensino fundamental

Universidade Federal do Rio Grande do Norte

Análise da influência da qualidade em um ciclo de serviços na satisfação do cliente: estudo de caso em uma instituição de ensino.

With the increasing offer of education services in Brazil, it is necessary to evaluate the quality of service in education, especially in those institutions for vocational education which have a greater interaction with the labor market, in order to form qualified professionals and meet the growing demand that the country has today[A1] . In Brazil, the evaluation of the quality of library services has influenced the assessment of educational institutions and in this context, there needs to be a process to monitor the quality of services provided by libraries. However, the service is not done in a single moment and thus to a more detailed assessment it needs to be measured and evaluated each different time the customer uses it. Therefore, the aim of this work consists in measuring the quality in every moment of truth of a cycle of library services to assess which are the most relevant moments in the client's perspective at the library of the Federal Institute of Education, Science and Technology of Rio Grande do Norte (IFRN) Campus João Câmara in building the overall quality of service. In the literature review, internal secondary sources were used, from the database of the institution studied, and also external sources, through literature in books, articles, dissertations, theses and journals on compost quality, service quality, cycle services, measuring quality, satisfaction, teaching activities, and on library services specifically. We applied a questionnaire to students in the library based on models of quality measurement SERVPERF and SERVQUAL and its variations such as SERVQUAL pondered and SERVPERF pondered . Through analysis based on concepts of reliability and validity of measuring instruments, it was found that the SERVPERF model is the instrument that most closely matches the dimensions of quality assessed in the library with customer satisfaction measured by the questionnaire. From there, the search results as measured by statistical techniques of analysis, indicated that the initial and final moments of truth of the cycle of service quality had the greatest influence on overall customer satisfaction with the library service