A escola de aprendizes artífices de natal: república, trabalho e educação (1909 1942)

Crées par leDécret n° 7.566, le 23 septembre 1909, les 19 Escolas de Aprentizes Artífices (Écoles d Aprentis Artisans) stratégiquement situées dans les capitales des états brésiliens, répresentaient l une de plus importantes réalisations pour la formation de main-de-oeuvre qualifiée dans les premières décennies de XXème siècle. Alors, ce travail est constitué par une recherche historique ayant eu pour base les informations apportées par des documents divers (Lois, Décrets, Rapports et Messages Gouvernementales, Livres des Immatriculations) et des nouvelles publiées dans le journal A República, disponibles à l Instituto Histórico e Geográfico do Rio Grande do Norte IHG-RN, à l Arquivo Público do Estado et au Centro Federal de Educação Tecnológica do Rio Grande do Norte (CEFET RN). On montre la configuration que l expérience de l École d Aprentis Artisans a constituée au Rio Grande do Norte à partir de 1909, crée avec le niveau élémentaire jusqu au 1942, quand la Lei Orgânica do Ensino Industrial a changé cet enseignement en le modifiant pour le niveau secondaire. Dans l état du Rio Grande do Norte(RN), ce genre d école a été crée au 3 janvier de 1910. La finalité était la formation des ouvriers et contremaîtres par l enseignement pratique et technique nécessaires aux mineurs qui puissent apprendre un métier. L école du RN a contribuée pour la consolidation du projet politique-idéologique de la construction de la nationalité brésilienne, par des pratiques des contenu patriotique et civique-militaire, en détachant l insertion du scoutisme scolaire comme expression de la militarisation des pratiques éducatives pour le contrôle des corps. Malgré l enseignement professionnel avoir été utilisé pour l imposition des modèles culturelles sous-jacents aux rapports de production capitaliste qui étaient exigés des travailleurs, la Escola de Aprendizes Artífices de Natal a répondue à la demande locale, ce qui renforce l idée que sa création dans ce moment historique a attendu surtout le but politique-idéologique plutôt que celui du développement économique et éducationnel de la population norte-riograndense

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

Investigação etnomatemática em contextos indígenas: caminhos para a reorientação da prática pedagógica

From the investigation, analysis, discussion and pondering about the activities developed by the lndians from the Porteira hamlet, members of the Xerente community, in the Tocantins state, we developed an investigative and descriptive study about the reality of this people with the aim of helping in the conceptual formation and in the reorientation of the pedagogical practice of the local teachers. In this sense, the undertaken research involved the teachers, the main representatives and experts in that cultural tradition, in order to investigate how the everyday activities (agriculture, food handling, assets distribution among the community members, etc.) and the cultural tradition (log race, body painting, clan division, Xerente numeration, Indian myths and histories, etc.), may enable the contextualization of the mathematics teaching in the lndian School Srêmtôwê of this hamlet, under a more transversal and globalizing perspective of the local and school knowledge. We based this research in the sociocultural conceptions of knowledge generation proposed by D Ambrosio (1990; 2002); Vergani (2007); Oliveras (1996); Gerdes (1991; 2002); Bishop (1999) e Sebastiani Ferreira (1997; 2004). ln the process of this study we propose some viable ways so that the Indian teachers may reorganize their classroom knowledge and actions, based in the strengthening of their history and culture. The observation of some social practices and knowledge as well as of the Xerente traditions helped us to point some possibilities of projection of a didacticalpedagogical dimension of these activities and practices, in the development of the school mathematical knowledge in this community

Um estudo sobre a relação entre matemática e religião na obra de Blaise Pascal

The aim of the present study is to investigate the way through which the relations between Mathematics and Religion emerge in the work of Blaise Pascal. This research is justified by the need to deepen these relations, so far little explored if compared to intersection points between Mathematics and other fields of knowledge. The choice for Pascal is given by the fact that he was one of the mathematicians who elaborated best one reflection in the religious field thus provoking contradictory reactions. As a methodology, it is a bibliographical and documental research with analytical-comparative reading of referential texts, among them the Oeuvres complètes de Pascal (1954), Le fonds pascalien à Clermont-Ferrand (2001), Mathematics in a postmodern age: a cristian perspective by Howell & Bradley (2001), Mathematics and the divine: a historical study by Koetsier & Bergmans (2005), the Anais dos Seminários Nacionais de História da Matemática and the Revista Brasileira de História da Matemática. The research involving Pascal's life as a mathematician and his religious experience was made. A wider background in which the subject matter emerges was also researched. Seven categories connected to the relation between mathematics and religion were identified from the reading of texts written by mathematicians and historians of mathematics. As a conclusion, the presence of four of these seven categories was verified in Pascal's work

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

Ensino de Entropia: um enfoque histórico e epistemológico.

The rational construction necessary to systematize scientific knowledge in physics, introduces difficulties of understanding in some of its concepts. One of these concepts which exemplify properly this difficulty in learning or teaching is entropy. This thesis propose the construction of a didactic route which constitute itself a historical and epistemological course to entropy, intending to contribute for teaching this concept as well as other physics concepts. The basic assumption to build this route is that through the historical review of the development of this concept in the way suggested by Bachelard s (1884-1962) epistemology it is possible to make subjects, to be taught and learned, more meaningful. Initially I composed a brief biographical note to give the reader an idea about the issues, interests and reflections, related to science, and how I dealt with them in my private and professional life, as well as the role they played to lead me to write this thesis. The strategy to construct the route to entropy was to split the usual contents of basic thermodynamics in three moments in a way they can constitute epistemological units , which can be identified by the way of thinking in the corresponding moments of scientific knowledge production: a technical and empiricist moment, a rationalist and positivist moment and a post-positivist rationalist one. The transition between each moment is characterized by a rupture with the former way of thinking; however the progress in the construction of knowledge in the area is evident. As the final part of this work I present an analysis based on elements of Bachelard s epistemology that are present in each moment. This analysis is the basic component of the didactic route that I propose myself to build. The way I made this route guide to entropy could contribute to the construction of other didactic routes in physics and other sciences, in a way to unveil hidden meanings and as a tool to humanize scientific knowledge.

Uma reavaliação do pensamento lógico de George Boole à luz da história da matemática

The aim of the present study is to reevaluate the logical thought of the English mathematician George Boole (1815 - 1864). Thus, our research centers on the mathematical analysis of logic in the context of the history of mathematics. In order to do so, we present various biographical considerations about Boole in the light of events that happened in the 19th century and their consequences for mathematical production. We briefly describe Boole's innovations in the areas of differential equations and invariant theory and undertake an analysis of Boole's logic, especially as formulated in the book The Mathematical Analysis of Logic, comparing it not only with the traditional Aristotelian logic, but also with modern symbolic logic. We conclude that Boole, as he intended, expanded logic both in terms of its content and also in terms of its methods and formal elaboration. We further conclude that his purpose was the mathematical modeling of deductive reasoning, which led him to present an innovative formalism for logic and, because the different ways it can be interpreted, a new conception of mathematics

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

Objetiva(ação) da medida e contagem do tempo em práticas socioculturais e educativas

This thesis describes and analyzes various processes established and practiced by both groups about the socio-cultural objective (action) the measurement and timing, mobilized some socio-historical practices as the use of the gnômon of the sundial and reading and interpretation of movements celestial constellations in cultural contexts such as indigenous communities and fishermen in the state of Pará, Brazil. The Purpose of the study was to describe and analyze the mobilization of such practices in the socio-historical development of matrices for teaching concepts and skills related to geometric angles, similar triangles, symmetry and proportionality in the training of mathematics teachers. The record of the entire history of investigation into the socio-historical practice, the formative action was based on epistemological assumptions of education ethnomathematics proposed by Vergani (2000, 2007) and Ubiratan D'Ambrosio (1986, 1993, 1996, 2001, 2004) and Alain Bishop conceptions about mathematics enculturation. At the end of the study I present my views on the practices of contributions called socio-cultural and historical for school mathematics, to give meaning to the concept formation and teaching of students, especially the implications of Education Ethnomatematics proposed by Vergani (2000) for training of future teachers of mathematics

Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

Pelos caminhos das idéias e da existência: a propósito das cartografias de J. T. de Moura Filho

The present study aimed to investigate the intellectual, personal and professional tracjetory of José Tavares de Moura Filho. Civil engineer who devoted him self to cartographic cience, though not a cartographer, and to literature. At 65 years old, already with retirement, he devoted his attention to writing his books and see the world, as he said. There were nine books, five of poetry, prose and short stories, and four of cartographic nature. The published his books independently. He wrote and his wife Elza typed. Once ready, he would seek the graphics, later a publisher, to reproduce his writing. He liked to say he would rather to pay for your books than bay a new car, and did so. Died at age of 82 years, leaving a rich material for the young students, those who read, as he always did by dedicating his books. In order to achieve the objectives of this study, we used as a theoretical some authors dealing with historiography, oral history, intellectual intineraries and history of ideas, as Garnica, Nóvoa, Barros, Bosi, Le Goff among others. From this perspective, we constructed an archeology of ideas and the existence of Moura Filho, to point contributions of the teaching of mathematics from his work

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

As relações entre o público e o privado no processo de expansão do ensino superior no Brasil: democratização ou mercantilização?

The present study analyzes the expansion of Brazilian superior education, investigating how the public and the private sectors are inserted in this process, taking as analysis dimensions the philanthropic actions, the democratization and the mercantilism. The study had for general objective to analyze the dynamics of the expansion of superior education in Brazil, investigating how it configures the overlap between the public and the private in this process. More specifically was tried: a) to understand the process of participation of the non-state public, state and private sectors with lucrative goals in the expansion of superior education; b) to analyze the limits between the democratization and mercantilism in the process of expansion of superior education; c) to analyze the mechanisms that express the privatization in the process of expansion of superior education; d) to investigate, in a program of the government, how is materialized the overlap between the public and the private, in the expansion of superior education. In the development of the study, was adopted as theoretician and methodological way a historical and critical perspective, because is considered it allows to understand the mediations between the inquiry subject and the historical context in which it is developed, allowing, this way, the true explanation of the studied object. About the technician procedures, it was adopted documentary and bibliographical research. Also, secondary data were searched on the main governmental web sites (INEP, SISPROUNI, INEP, PNUD; IBGE) which produce statistics on superior education and sponsors of private institutions of superior education, as example ABMES and the Court of Accounts of the Union, amongst others. The study results had delineated a picture that allows to evidence that has been occurring, in the country, a process of expansion of superior education, marked for the articulated participation of the public state, private with lucrative ends and private without lucrative ends sectors, but it is distinguished in recent years the prevalence of the private sector with lucrative ends. In result, it is concluded that this process of expansion cannot be considered as dimension of the democratization because it occurs by means that move it away from the education as a right to be placed in the scope of the market, changing the right into a service that is appropriated by mercantile relations

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

Como se fora brincadeira de roda: a ciranda da ludopoiese para uma educação musical humanescente

The present work concerns an auto-ethnographic study based on life experiences and reflections of an educator at Escola Viva Preschool and Elementary-Middle School, located in the city center of Natal, Rio Grande do Norte. As a cognitive model of operation, we use the metaphor of the Circle Dance. The objective of this study is to identify, interpret and describe the ludopoetics that are achieved through a Musical Education program, which we denominate, Humanescent. The data of this investigation was derived from the music making by Preschool and Elementary-Middle School students at Escola Viva during 2007, 2008 and 2009, from which 20 learners were selected to form the corpus, along with the description and interpretation of photos of their experiences and sand tray scenes. We justify the methodological systemization of the research based on our own pedagogical practice, which supports Musical Education in the schools based on the principals of Embodiment, Autopoesis and Flow. The methodological systemization was developed through an Action Research model and on the concepts of Systemic Development, with the goal of re-reading the context investigated through the structuring of categories of Ludopoesis: Self-esteem, Self-territory, Self-connectivity, Self-realization and Selfworth. We used an observant-participant research approach with regard to the perception of emergent knowledge, the surroundings, the experience lived and the contextual and vibration of the circumstances. Besides this, we used projection to interpret the experiences lived, in the form of drawings, short poems, letters or sand tray scenes as symbolic interpretations of experience. In the unfolding of the Ludopoetic Process (Selfesteem, Self-territory, Self-connectivity, Self-realization and Selfworth) we draw conclusions about the relevance of the ludic musical experience, which foments the formation of the self based on music learning, and which is demonstrated in the Embodiment of the learners. In the auto-formative process (of learners and educators) we observe the importance of pedagogical work based on Musical Humanescent Education that gives value to the music making path to the construction of music and performance in play, creativity, and sensibility. The experience of making music in a playful way allows for organization of the self and its autonomous production in the joy of living within a ludopoetic process. These findings highlight the educator as in a permanent state of selfformation, which generates moments of flow. However, in Musical Humanescent Education, music is learned collectively, doing a circle dance, experiencing love, fostering an expansion of the creative spirit, and giving recognition to playfulness as a necessary condition for education and to the value of music made with the true nature and sensibilities of the educators