Possibilidades de exploração da história da ciência na formação do professor de matemática: mobilizando saberes a partir da obra de Nicolau Copérnico de revolutionibus orbium coelestium

This study aims to analyze the implications that the knowledge of an important work for the History of Science, De revolutionibus orbium coelestium , by Nicholas Copernicus, can bring for the formation of Mathematics professors. The study focuses on Book I of Copernicus s work, where, in the final part, is found the Table of the Subtense Straight Lines in a Circle, a true sine table constructed by the author. The study considers two theoretical references, the History of Science and of Mathematics, in the professor s formation searched amongst others in Miguel and Miorm, Brito, Neves and Martins, and Radford, and the necessary teaching knowledge professors mst have, on the basis of Gauthier, Schulman and Imbernón amongst others, through which it is established a net of knowledge grouped in dimensions such as mathematical, psycho pedagogical, cultural and practical diversity, that guide the study analysis. In the search for more necessary elements to enrich the analysis, beyond the theoretical research in Book I, it is carried through, with under graduation pupils, future Math professors, the construction of a sine table following the project used in De revolutionibus . The study still makes a description of the life and work of Nicholas Copernicus, detaching the historical context where the author lived and the conceptions about the Universe existing at that time. The research reveals that the studied work is an important source of culture, able to provide to the Mathematics professor in formation, beyond the conceptual and procedural mathematical knowledge, a cultural knowledge that allows him to be opened to the knowledge of other areas that not his specific area, and so to acquire knowledge about the world history, the development of sciences and of the society

O ensino da história e o pensamento reflexivo-crítico da professora no 3º ano do Ensino Fundamental

This collaborative research is a qualitative approach, from historical and cultural perspective, made about a teacher of third grade of basic education in the area of history, in the municipality of Caicó / RN. It has as objective to investigate, in a collaborative action, if the design process of teaching and learning the discipline of history based on the relationship before / after allows the development of critical reflective thinking of the teacher in school practices. The theoretical and methodological approaches are supported in the postulates of Vygotsky (1998), Rubinstein (1973) and Linblinskaia (1979), among others, whose understanding has led us to reflect if the teacher develops the reflective critical-thinking in history discipline classes. The complexity of the study led us to an analysis exercise, using different methodological procedures, such as: bibliographic review of the literature, considering also the literature of the history area, interviews, observation in the classroom, video recordings and reflective sessions, enabling clarify the construction and reconstruction of thought that the teacher had been developing during the process of teaching and learning. The test results point to a dichotomy between theory and practice, and also to a certain fragility in the position of professor in teaching and learning the discipline of history, at the third grade of basic education. The teacher recognizes that she requires a theoretical deepening with more intensity, as a process of continuous training to improve the practice of teaching in history school, though, stating in her speech that her teaching practice is based on critical reflection. However, she presents serious limitations in classroom practices. We conclude that, although she has shown willing to work on a critical perspective of reality, showed also poor change at school practices, starting to reflect about her own actions, pointing her limits and the changes needed that didn t become reality yet. It s necessary a formative process for her. The study therefore showed that even with the sessions and reflective of deepening theoretical studies, the teacher does not change its profile, while maintaining its traditional vision in any pedagogical action. This research recommends the formation of school groups for further studies and discussion on the practices of education in history area from a reflective-critical thought perspective as a mean of personal and professional development

Luta pela terra, luta pela palavra: história de vida e formação de duas educadoras populares do campo

This project has resulted from a reunion between me and two teachers with whom I had already worked, pedagogically counseling them during the execution of the Project of Youngsters and Adults Schooling at the Agrarian Reform Settlements in the State of Sergipe (PAJA/PRONERA) between 2002 and 2003. The matter that really motivated the research was related to the essential principle that guided the accomplishment of the PAJA s teachers education and professionalization: understanding their reality and knowing their needs, promoting the dialogue between scientific and common sense knowledge. Taking as a reference the fact that the teachers education is not restricted to the academic qualification, that is, that it is a part of the educational process, which, in turn, is a result of each one s personal background, dialectically individual and collective, the access to the teachers reality and needs was accomplished by studying their backgrounds, especially their school and professional career. They, inevitably, focused themselves on the country life s social and cultural context, that could be better understood by living together with the teachers during the twenty-seven days I stayed in the Golfo s settlement, located in the town named Pacatuba/SE. The approach to the teachers lives through their stories and the daily contact proved how much Science is still distant from the peasants routine, sometimes being presented to them as a finished product . That way, the dialog between those two categories and the expectation of the country life s social and cultural conditions, together with the education, in which teachers have an essential role, still remain as a challenge

Mala na mão, pé na estrada: à procura de uma pedagogia das singularidades

We make many journeys during our lifetime. In each of them we accumulate experiences that result in an amount of knowledge that constitutes our history. The dissertation presents one of these journeys: that one I took along with students of Pedagogia da Terra project from Universidade do Estado do Rio Grande do Norte UERN to think about the knowledge within their memories in their way from countryside to city seeking for education. I used as main references to this task the ideas of Edgar Morin about Method as Strategy, implication of the subject in knowledge, pertinent knowledge, and knowledge reconnection. And from Paulo Freire I used the concepts of cultural identity assumption and dialog. I built as resource of method the metaphor of the suitcase, called by me the trunk of memory treasures . The use of this cognitive operator makes possible for those students bring their memories to the surface and share them collectively, by the process I name as auto-social- biographical narratives. The explicitness of the memories they choose to reveal by means of these narratives permitted me to understand the metamorphosis of these knowledge since their childhood to nowadays. In order to present an archeology of knowledge within these life histories I chose a narrative writing style concerned with simplicity and lightness, where I use the description of facts and discussions occurred during this journey. My main arguments in systematizing this experience are: scientific production can and should be grounded on knowledge diversity and on a more sensible approach to phenomena; education and pedagogy need to take as starting point and fuel for their practices the singularities of the subjects, their life history, educational background and knowledge resulting from both. Teacher s formation programs which students have mixed, rural and urban, background should value cognitive experiences built in the interaction with that knowledge closer of a sensible logic, deeper grounded in land and nature. Doing so, education can contribute to join diverse knowledge against monocutural forms of thinking and educational practices

Relações entre teorias da história e ensino de história: a compreensão de professores

This thesis has as an objective to think over the teachers` understanding of the school History of the Fundamental Teaching regarding the existent relations between the history theories and the teaching of the school History, as well as to think over how these teachers see the influence that their teaching practice gets from the history theories. The work is based on the postulates of the qualitative research and on the characteristics of the ethnography of the school practice. The main procedures of data gathering were the documental analysis, the semi-structured interviews, the field diary and the observations of classes. The scientific perspective of the multiple references is an important source in this research. The participants of this work are two teachers of the school district of Natal who work in the field of the school History in two schools on the North Side of the city. The accomplished analysis point to significant indications that didn't occur continuous and regular teaching situations in the initial and continuing education of these teachers that clearly showed the relations between the history theories and the teaching of the school History. They also suggest that their understanding about the influence that their teaching practice gets from the history theories, is not still explicit. We understand that the relations between the history theories and the teaching of the school History are important for the initial and continuing education of these teachers who belong in this knowledge field, even when these relations are not explicitly pointed by the teachers, because they will always influence the teaching practice that the teachers of the school History build

A história do centro de educação integrada Monsenhor Honório: surgimento e contribuições (Macau /RN - 1956 1966)

The present study objective to construct to the Education‟s History of Centro de Educação Integrada Monsenhor Honório in Macau, in the state of the Rio Grande do Norte. By means of the examination of this Institution of education, we intend to analyze its educative practical in the Fifties years, that this was the first one to offer gymnasial course and, over all, for having formed doctors, engineers, teachers, bachelors and economists in the city and the region during five decades of functioning. For this we use the records as documentary sources available in the institution, in newspapers and in public and private archives in the capital and the interior, beyond interview with former-employees, former-pupils and people who had participated of its creation and, consequently, they had made and they are part of this history. The institution‟s history helped to us to comment the reading of Macau‟s education, propitiating us reflections about pedagogical practical, methods of teaching and school regiment, in the perspective to understand a past still so present and all process for which passed the education, in the context of the proper Macau‟s history. The search results lead us to evidence that the creation of this school, in 1956, represented a landmark in the education of this municipal district, contributing of decisive form in the formation of the macauenses

Um estudo sobre a concepção de paradoxo segundo o pensamento de Augustus de Morgan

This work aims to analyze the concept of "paradox" posed in the work of The Budget Paradox (1872) of mathematical and logical English Augustus De Morgan (1806-1871). Here it is important to note that a large part of this book consists of re-prints of a series of writings by the author in journal Athenaeum, where its performance as auditor of literature. The tests refer to some scientific work produced between the years 1489 and 1866 and the rules of selection for the composition of the work is, basically, the methodological aspects used in the completion or disclosed by such scholars. The concept of paradox is presented in two distinct moments. At first, we found a study of definitions for the term in a philosophical approach, characterizing it as something that requires further investigation; which was complemented with the classic examples of a scientific context. In the second, we present a concept advocated by De Morgan and, under this perspective, that he conceptualized the "paradox" is directly related to the non-usual methods employed in the formulation of new scientific theories. In this study some of these scientific concepts are detailed, where, through the redemption history, engaging in issues of our study Mathematics, Physics, of Logic, among others. Possession of the preliminary analysis and comparison with the design of De Morgan, it became possible to diagnose some limitations in the conceptualization suggested by the author. Further, evidenced, in front of the cases, the nonlinearity of the process of production of knowledge and hence the progress of science

Anayde Beiriz e a escrita de si: (Educação, história e relações de gênero)

Le thème de cette dissertation est l Histoire de l éducation de la femme. Une analyse des pratiques culturelles de la professeur Anayde da Costa Beiriz (1905-1930), dans le contexte paraibanais du début du XXe siècle, est proposée. Le référentiel théoricométhodologique de l Histoire Culturelle est utilisé, pour aller contre l histoire passée sous silence dans le canon traditionnel. Basée sur le concept de représentation (Chartier, 1990), rompant avec les anciennes idées de sens intrinsèque, absolu, unique, liée aux pratiques complexes, multiples et différenciées, qui construisent le monde comme représentation. Basée aussi sur le concept de configuration (Elias, 1980), en comprenant que apparemment individu et société sont deux objets qui existent indépendamment, mais en vérité, se rapportent à deux niveaux inséparables du monde social, sont unis par des liens d interdépendance. Un dialogue est recherché entre le passé et le présent et les différentes dimensions: historique, sociale, politique et culturelle vécues par la professeur Anayde Beiriz. Pour obtenir des informations sur ses pratiques culturelles, une recherche des marques de cette histoire dans de multiples sources est effectuée: dans la bibliographie disponible parmi les domaines de la littérature, de l histoire, dês sciences sociales et de l éducation; dans des archives de l Institut Historique et Géographique de la Paraiba et de Natal; dans les Bibliothèques de l Université Fédérale de la Paraiba et du Rio Grande do Norte et chez des bouquinistes. L inventaire comprend: des périodiques, la législation en vigueur, des écrits de contemporains, dês témoignages oraux de parents, des lettres et des photos. On comprend de cette façon, que l idée d éplucher au travers de cette étude, des aspects qui n ont pas encore été vus et rappelés, peut non seulement répondre à nos doutes, mais, peut à partir de la réflexion qui se fait, se traduire par une nouvelle compréhension de cette histoire. En conclusion, des significations multiples sont contenues dans le processus d insertion de la femme dans l éducation à partir des Écoles Normales, qui englobent les relations de genre, l histoire du pouvoir, de la morale, de surpassement, des luttes et insatisfactions. On perçoit l héritage de résistances et de conquêtes. Cela a été sous l inspiration des airs de la modernité avec la Belle Époque, en répercutant dans le monde et aussi dans la Parahyba du Nord, que s est concrétisée la formation sociale de la professeur Anayde Beiriz et des femmes de son temps. L analyse de l écriture de soi confirme le discours normatif du contrôle moral social, le joug et les préjugés soufferts par Anayde Beiriz et l éducation différencié de genre qui ont déterminé ses habitudes et coutumes. C est-àdire, pour la femme, la permanence dans l espace privé, la retenue, l anoblissement des tâches ménagères et de la maternité comme sa plus haute aspiration, le support moral de la famille, la préservation de la tradition et la perpétuation des règles religieuses

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

História e filosofia da ciência nos currículos das licenciaturas em física e química da UFRN

Esta disertación es el resultado de un estudio de naturaleza de calidad que tuvo como objetivo analizar la estructura curricular de los cursos de Licenciatura en Física y en Química de Universidad Federal de Rio Grande del Norte en lo que se refiere a la inserción de disciplinas de contenido histórico y filosófico. La metodologia adoptada se constituye en un estudio de caso comparativo, pues procura establecer relaciones entre los dos cursos analizados. En este sentido, fueron consultados, para cada uno de los dos cursos, el Proyecto Político Pedagógico, el programa de La Disiplina y los materiales en ella utilizados. Se realizó también, la observación simple de clases de la disciplina y en seguida, una entrevista semi-estructurada con el profesor responsable por ella. Los resultados muestran que las disciplinas están inseridas en los currículos de los cursos de Física y de Química de maneras diferentes, principalmente en lo que se refiere a los enfoques teóricos-metodológicos asumidos por los profesores en el trabajo con los contenidos y en lo que se dice al respecto del papel desempeñado por la disciplina en la estructuta curricular. Hay por otro lado, puntos de convergencia, notadamente cuanto a la formación y al histórico de los profesores formadores, asi como en la relación a los modelos de formación subyacentes a la estructura curricular de los cursos. Se concluye que el conocimineto mútuo de los diferentes modelos de inserción de disciplinas de contenido histórico y filosófico en las Licenciaturas en Física y en Química de La UFRN podría contribuir para futuras reformulaciones curriculares, en el sentido del establecimiento de opciones claras y concientes acerca del papel a ser desempeñado por esas disciplinas en los cursos

Iconografia humorística no ensino de História :modalidade de uso na sala de aula

Plongés dans le temps présent, les dessins humoristiques, par la capacité de représenter, de suggérer et de communiquer une idée, marquent présence à l école et dans la salle de classe. Caractérisés par l utilisation d éléments comiques, satiriques et irôniques, outre la nature persuasive, ces dessins possibilitent le lecteur de faire une lecture critique des événements sociaux et politiques de notre société. En tant que langage visuel, structuré dans les formes verbale et icônique, de même que par le caractère analogique de représentation, les dessins humoristiques constituent un excellent recours pédagogique. Toutefois, ils sont longtemps restés inaperçus par l école et, seul récemment, ils sont devenus objet d investigation de la part des historiens. Dans ce sens, nous nous sommes proposés, dans cette étude, à analyser l utilisation de ces dessins par les professeurs d histoire des écoles publiques nommées Centros Paraibanos de Educação Solidária (CEPES), de João Pessoa, capitale de l Etat de Paraíba, en vue d appréhender et de discuter la façon dont ces professeurs font usage de ces dessins dans leur pratique pédagogique. Par le moyen des actions des professeurs, conçues comme des arts de faire, selon Certeau, et par l identification des usages qui se caractérisent comme des tactiques, nous avons essayé de percevoir comment se réalise le rapport humour et histoire, en salle de classe. La systématisation, la catégorisation et la narration des pratiques pédagogiques observées ont été réalisées par l analyse des questionnaires et des interviews appliqués aux professeurs et élèves, ainsi qu à l observation des classes. Notre recherche s est fondée sur les théories de Roger Chartier et Michel de Certeau, dont les concepts de représentation et d appropriation, d usages et de tactiques nous ont aidé à comprendre la forme par laquelle les sujets incorporés au quotidien de la salle de classe se sont appropriés de la dimension imagétique à travers l humour. A partir des concepts d usage et d appropriation nous avons identifié dans les actions et les parlers, la façon dont les dessins humoristiques sont travaillés par les professeurs. Conçus comme des registres visuels qui relatent des questions sociales, politiques et économiques, ces dessins sont perçus comme des registres visuels qui relatent des questions sociales, politiques et économiques, identifant, ainsi, les adversités du présent, dans le monde social

SINAES: as diferentes faces da avaliação na UFRN

This thesis entitled SINAES: the different faces of the evaluation at UFRN, aims to analyze the configuration that the national policy for assessment in higher education has taken on UFRN. We assume that in recent years there are an oscillation between the concepts of evaluation, according with the logic of public administration it has preferred an approach that presents itself as a promoter of quality, sometimes with regulatory aspects, sometimes with educational ones. The text discusses the use of the new assessment tools for higher education placing them under the new demands on state reform context in which this is to promote and measure quality based on the values of excellence and competitiveness. This movement arises from the redefinition of the role of the State that has been taking features of Evaluator State. From a historical review of government initiatives in the field of evaluation, we analyze the characteristics of assessment policies outlined over the past decades. We are based on the theoretical method that aims to examine the multiple determinants that shape a particular reality from the larger movement of totality. To identify, in this case, connections and ruptures that have emerged over the history of assessment policies aimed at higher education by checking their determinants in order to better explain the reality. To investigate the object of this study we used as instruments: the research literature and research documents, the semi-structured interviews and non-participant observation. The study revealed that there are different practices of evaluation and that before to establishment the SINAES program, the UFRN already had a culture of an institutional assessment, more participatory and democratic, opposing to the rigidity of the self-assessment in SINAES program that it was instituted by the Commission for assessment (CPA). We also noticed that the implementation of the SINAES at URFN has been performed very slowly and the breadth and complexity of the evaluation process has contributed to hinder its implementation in all dimensions provided by MEC. Although it was observed that in its operationalization the SINAES has assumed a more normative assessment and directed to establish rankings between courses and higher education schools than to establish a more qualitative assessment in this system. As regards the evaluation of the undergraduate course studied on this research and subjected to the three dimensions of evaluation proposed by SINAES (self-assessment, Evaluation of Courses and ENADE) it was not possible to verify an effective integration between the methods of assessing conducted. The results are considered separately, in only a partial view of the course evaluated the proposal what pits the SINAES as a system that involves the totality

O processo ensino-aprendizagem de história no ensino fundamental: seus limites, suas possibilidades

Study about the teaching-learning process in History, which intents to point limits and possibilities to this process, starting from its characterization and analysis and understanding of the concepts of history, time, society and culture, used by teachers and students. The field research was performed in the Municipal School of Basic Education Zumbi dos Palmares, located in the city of João Pessoa, Paraíba State, in the period between 1996 and 2006. To achieve the objective of the study, a number of research instruments were used, amongst which, interviews, questionnaires and exercises emphasizing conceptual learning. The theoretical-methodological premises of the qualitative research justify the use of these various instruments, and serve as base for the interpretation and analysis of the data. This study demonstrated that some limits and possibilities that are found in the teaching-learning process in History are originated in the school context of the 1st phase of basic education and remain in the 2nd phase of this education level, partly, because of the understanding that teachers and students have regarding the concepts of history, time, society and culture

Ateliês de história e pedagogia da matemática: contribuições para a formação de professores que ensinam matemática nos anos iniciais

This paper presents a discussion about the use of the History of Mathematics as an educational resource and conceptual mediator in the formation of teachers who teach mathematics in the years of elementary school. It was a qualitative action method, in order to show the importance of holding workshops of History and Pedagogy of Mathematics as contribution to overcome the conceptual difficulties of teaching and teachers regarding the content covered in the course of education and afterwards they have to teach in the early of elementary school. We assume that understanding the historical, social and cultural comprehension as a conceptual and didactic focus effectively nurture the pursuit of a teaching and learning of mathematics students safe and justified in order to contribute to overcoming the difficulties of teaching and learning usually occurred in the classroom of the early years. In this sense, we organized a study group formed by students of Bachelors in Education and Mathematics at the University of Piauí. We developed five training workshops in History and Pedagogy of Mathematics, with a workload of 20 hours each and four follow-up sessions and advicement, totalizing 180 hours. The purpose of workshops was to develop studies on the History of Mathematics that could support the formation of a conceptual and didactic group with a view to prepare teaching materials and activities based on information drawn from undertaken historical studies .The products designed were used in formation of the group itself and will later be used in training teachers of public school in Teresina, in the form of workshop of History and Pedagogy of Mathematics in order to overcome problems arising from teaching and conceptual this education degree in Education Based on the obtained informations it was possible to suggest new referrals procedural level of education and university extension that may contribute to the reorientation of initial and continuing training of teachers in the early years elementary school

A história escolar e a teoria da atividade: relações e possibilidades formativas no ensinar e aprender

This study investigates the manner in which the Activity Theory by Alexei Nikolaevich Leontiev contributed to the performance of a teacher who teaches History at the 8th year of elementary school, Escola Estadual Coronel Fernandes, in Luís Gomes - RN city. Her goal is to analyze the contributions of this theory in her teaching practice. It was opted by collaborative approach as formative strategy and was used as procedures for training of knowing the courses of study and thoughtful reflection sessions. It was used as techniques in the development of these cycles, the semistructured interview and the reflection sessions, the autoscopy and observation in real life. Regarding the theoretical foundation, held in these cycles, the teacher demonstrated to have appropriated some contributions from Activity Theory, besides relating them to her practice and understanding her importance to the improvement of teaching and learning of History. Concerning to the reflection sessions, the analysis showed that the participant has used of constructions of this theory and improved their practice, developing lessons of History so as to encourage student participation in oral and promote his integral development. The educational process, carried out on the practice of teacher, has shown an increase in her conscious learning that contributed to the improvement in their professional development. Before these findings, as needs for new thinking, this research recommends, especially the organization of teaching activities, based on this theory, which allows the teacher to improve the teaching and learning process contributing to student's full education