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

Memorial de formação: um dispositivo de pesquisa ação - formação

La recherche prend comme point de départ la dimension formative du mémoire de formation, considerée comme constitutive de l´écriture de soi, et cherche à problématiser cette dimension au tour du questionnement suivant: Comment le mémoire de formation devient-il un instrument de recherche-action-formation? Les analyses s´appuient sur les principes théoriques du paradigme anthropoformateur, proposé par Pineau (2005), les études réalisées par Passeggi (2006ª, 2006b, 2007, 2008ª, 2008b) sur les mémoires, les travaux de recherche de Nóvoa (1988, 1995), de Josso (2004), de Souza (2006) et de Fontana (2000), qui conçoivent la formação du point de vue de l´ apprenant. L´univers de la recherche s´est circonscrit à la situation de formation des éducateurs de la zone rurale, étudiants en Pédagogie dans le PROFORMAÇÃO (CAMEAM), à l´Univeristé de l´Etat du Rio Grande du Nord (UERN), pendant le second semestre de 2005. La recherche a croisé diférents types de démarche pour recueillir les données empiriques: l´observation du processus d´élaboration des mémoires; un questionnaire; des entretiens informels avec les enseignants en formation et avec les formateurs; et 09 mémoires, écrits par les participants de la recherche. Les analyses des données empiriques montrent que l´écriture des mémoires, en tant que démarche de recherche-action-formation, révelent que la dimension formative se dédouble en d´autres dimensions: etnosociologique, heuristique, herméneutique, social et afective, autopoiétique et politique. Dans la quête de soi (recherche), mise en oeuvre dans et par l´écriture (action), chaque narrateur construit de nouveaux sens à la vie et (re)signifient les représentations de soi (formation). Les résultats confirment la richesse et les potentialités du mémoire, même dans des conditions non ideal, ce qui permet d´affirmer as valeur travail académique important dans la formation des enseignants

Trabalho e formação docente na rede municipal de ensino de natal

The study Teacher work and education in the municipal schools of Natal objectifies the analysis of the education and work conditions of the teachers in the municipal schools of Natal, placing them within the scenario of the public policies outlined for Basic Education (2005-2010). The thesis is based on the perspective that the educational reforms implemented by the Brazilian government in an attempt to answer to the new contextual demands originated from the world of work and globalization, demanding increasingly higher levels of qualification and constant extension of the teaching functions in school from the teachers, have been configured withal as a strategy for intensifying the teacher s work. The empirical field of study was constituded by thirteen municipal schools that offer basic education. Four hundred and seventeen teacher subjects that work in the municipal school system of Natal, two representatives of the Secretaria Municipal de Educação de Natal (SME)1 that work in the pedagogical team and one representative of the Sindicato dos Trabalhadores em Educação do Rio Grande do Norte2 took part in the study. The procedures/instruments used in the research were: bibliographic review, document research, questionnaires and recording of information in a field journal. The study confirmed that the majority of the teachers that work in the municipal school system were admitted by means of public entry exams, therefore meeting the requirements set by Law 9.394/96. Most of the teachers have the initial education demanded to work in basic education, although with some limitations due to the fact that they do not correspond to the needs of the educational system. The SME has a plan for continued training of the teachers in accordance to the current ideas defended by researchers of this field. There is, although, a disconnection between the purpose of the plan and the training strategies, because, in truth, predominate repetitive and specific actions that do not contemplate the training needs of the teachers, nor the demands of the system. Although the work conditions are evaluated, by the teachers, as relatively good, limits in relation to the physical structure of the schools are observed (dirty walls with holes in them, broken ceiling fans, old chairs and desks, old and stained black boards, inadequate restroom installations, poor maintenance of the computers, amongst other items). It was also verified the an increase in the functions of the teachers and an intensification of their work, materialized through an overburden of activities undertaken daily at school (and outside of it) and through the demand in taking part in activities that go beyond those inherent to the teaching process, such as the elaboration of political-pedagogical projects, participation in collegiate, registration of student information solicited by the SME and the participation in commissions, has been happening

Formação da habilidade de interpretar gráficos cartesianos em licenciandos em química segundo a teoria de P. Ya. Galperin

It has been remarkable among the Science Teaching debates the necessity that students do not learn only theories, laws and concepts, but also develop skills which allows them to act towards a critical citizenship. Therefore, some of the skills for the natural sciences learning must be taught consciously, intentionally and in a planned way, as component of a basic competence. Studies of the last twenty years have shown that students and teachers have plenty of difficulties about skills development and, among several, the skill of interpreting Cartesian graphics, essential for the comprehension of Natural Science. In that sense, the development of that type of professional knowledge during the initial education of future Chemistry teachers has become strategic, not only because they need to know how to use it, but also because they need to know how to teach it. This research has as its general objective the organization, development and study of a process of formation of the skill of interpreting Cartesian graphics as part of the teachers professional knowledge. It has been accomplished through a formative experience with six undergraduate students of the Teaching Degree Course of Chemistry of Universidade Federal do Rio Grande do Norte (UFRN Federal University of Rio Grande do Norte), in Brazil. In order to develop that skill, we have used as reference P. Ya. Galperin s Theory of the Stepwise Formation of Mental Actions and Concepts and its following qualitative indicators: action form, degree of generalization, degree of consciousness, degree of independence and degree of solidness. The research, in a qualitative approach, has prioritized as instruments of data collecting the registering of the activities of the undergraduate students, the observation, the questionnaire and the diagnosis tests. At the first moment, a teaching framework has been planned for the development of the skill of interpreting Cartesian graphics based on the presupposed conceptions and steps of Galperin s Theory. At the second moment, the referred framework has been applied and the process of the skill formation has been studied. The results have shown the possibility of develop the skill conscious about the invariant operation system, with a high degree of generalization and internalized the operational invariant in the mental plane. The students have attested the contributions at that type of formative experience. The research reveals the importance of going deeper about the teaching comprehension of the individualities tied to the process of internalization, according to Galperin s Theory, when the update of abilities as part of the teaching professional knowledge is the issue

Sobre a ação do docente: os sentidos dados ao planejamento e formação continuada por professores de uma escola pública municipal de Natal

Este trabajo tiene como objetivo comprender los sentidos dados a la relación entre el planeamiento y el proceso de formación continuada por profesores de una escuela pública municipal de la ciudad de Natal (RN). La conjetura guía es la percepción de que los profesores parecen no concebir el planeamiento escolar como espacio de formación colectiva y continuada. Así, esta conjetura es motivo de reflexión a medida que el planeamiento puede ser visto como un proceso cargado por tensiones y conflictos estructurales reprimidos en la escuela. Nuestro principio teórico metodológico es una interpretación de múltiples referencias que parte de conceptos en diferentes modelos de análisis en la comprensión de una realidad en que diferenciadas dimensiones están entremezcladas. Adoptamos como metodología de investigación la Entrevista Comprensiva, en que el objeto de la investigación se construye por medio de la elaboración teórica de las hipótesis surgidas en el campo de la investigación. El investigador busca dominar y personaliza los instrumentos y teoría a un proyecto concreto de investigación, cuya imagen más cercana es lo que se denomina de artesanía intelectual . En el proceso de construcción comprendemos la necesidad de entender el registro de un saber social incorporado por los individuos a su historicidad, a sus orientaciones y definiciones de su acción en relación al conjunto de la sociedad. En este sentido, los profesores entrevistados comentan su entendimiento revelando sentidos sobre cómo hacer efectivo un planeamiento que atienda las realidades del cotidiano de los alumnos. Observamos en nuestros análisis que parte del grupo de profesores tiene consciencia de hacer del planeamiento como base del trabajo docente no apenas dirigido al aspecto práctico elaboración y ejecución -, sino relacionado a un proceso de otros aspectos simultáneos como la reflexión acción-reflexión sobre la acción. De este modo, existe la posibilidad de mejorar el planeamiento transformándolo en más dinámico y participativo a través de los proyectos de trabajo como alternativa de enseñanza y de acercar la práctica pedagógica a la realidad de los alumnos, por ese motivo el planeamiento diario es de fundamental relevancia, ya que el espacio escolar es complejo y dinámico. Sin embargo, percibimos que existe incomprensión del planeamiento como espacio de formación continuada en la escuela en consecuencia de prácticas sin reflexión, y por eso, el proceso de planeamiento tiende a ser visto apenas como técnico y no un proceso político que apunta hacia la acción reflexiva. Por estas razones surgen tensiones externas e internas, unidas a las incertidumbres del trabajo docente en el cotidiano escolar, asociada a los sentimientos antagónicos que pueden ser elementos que dificultan y limitan el trabajo profesional de los docentes, llevándolos a la improvisación. Los profesores sugieren la construcción de la propuesta pedagógica dirigida a la formación continuada, coligada a la introducción de una práctica reflexiva que considere a la colectividad, siendo incluidas la autonomía, la flexibilidad y la abertura del planeamiento, y resaltan la actuación mediadora del coordinador pedagógico como de fundamental importancia para fortalecer el trabajo colectivo en la escuela y de enfatizar practicas reflexivas

Quadrinhos nas aulas de ciências: narrando uma história de formação continuada

Located at the intersection of Science Education, Teacher Training and use of didactic Comics (HQ), the text aims to discuss the problem which thus sets: - What is the contribution of the incorporation of comics in the continuing education of teachers Natural Sciences of the early years of elementary school? - May be the comics for enabling science teaching? - How to contribute to a reflexive training of teachers of the early years? - In order to answer these questions, there was a collaborative action research in a school located in the city of Natal / RN, with three teachers who teach natural science in the early years of elementary school. The study involved the conduct of 13 meetings of in-service, under the focus on reflective practice, with the purpose of discussing topics underlying the teaching of science and the use of comics as a methodological strategy. All meetings were recorded on audio and transcripts. The teachers finally recorded the meetings by writing a portfolio. The teachers made use of 10 sessions with reading comics in science classes, which were video recorded and later watched by the educators in autoscopy sessions followed by individual interviews. From the collected data, several aspects that have emerged can be grouped into three categories: The difficult concept of science, teachers' work and the obstacles and possibilities of comics as a teaching strategy. In this sense, are woven assessments taking as its founding, look for the reflective and dialogic practices exercised in the classroom. In the analysis of the data, we can see the conceptual difficulties, methodological and pistemological questions of teachers for teaching science, but also the limitations of comic books for teaching. Learning more relevant appointed by the teachers is related to the importance of collective work to mitigate the training needs of teaching. Finally, signals that the HQ has a great potential for use in science classes, provided that the teacher conduct a careful planning for this, but that the meetings of continuing education promote moments of reflection on teaching practices that are capable of giving rise to new attitudes before the difficulties they depict

Um estudo sobre a apreciação do raciocínio matemático na formação inicial de professores

The present work focused on developing teaching activities that would provide to the student in initial teacher training, improving the ability of mathematical reasoning and hence a greater appreciation of the concepts related to the golden section, the irrational numbers, and the incommensurability the demonstration from the reduction to the nonsensical. This survey is classified itself as a field one which data collection were inserted within a quantitative and qualitative approach. Acted in this research, two classes in initial teacher training. These were teachers and employees of public schools and local governments, living in the capital, in Natal Metropolitan Region - and within the country. The empirical part of the research took place in Pedagogy and Mathematics courses, IFESP in Natal - RN. The theoretical and methodological way construction aimed to present a teaching situation, based on history, involving mathematics and architecture, derived from a concrete context - Andrea Palladio s Villa Emo. Focused discussions on current studies of Rachel Fletcher stating that the architect used the golden section in this village construction. As a result, it was observed that the proposal to conduct a study on the mathematical reasoning assessment provided, in teaching and activity sequences, several theoretical and practical reflections. These applications, together with four sessions of study in the classroom, turned on to a mathematical thinking organization capable to develop in academic students, the investigative and logical reasoning and mathematical proof. By bringing ancient Greece and Andrea Palladio s aspects of the mathematics, in teaching activities for teachers and future teachers of basic education, it was promoted on them, an improvement in mathematical reasoning ability. Therefore, this work came from concerns as opportunity to the surveyed students, thinking mathematically. In fact, one of the most famous irrational, the golden section, was defined by a certain geometric construction, which is reflected by the Greek phrase (the name "golden section" becomes quite later) used to describe the same: division of a segment - on average and extreme right. Later, the golden section was once considered a standard of beauty in the arts. This is reflected in how to treat the statement questioning by current Palladio s scholars, regarding the use of the golden section in their architectural designs, in our case, in Villa Emo

Vozes não silenciadas de alfabetizandos jovens e adultos e suas repercussões na formação docente

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Campo educacional e representação social da formação docente :o olhar dos agentes

Teaching formation has been the target of many changes, having been forged according to numerous formats and models through different times and spaces, composing thus, different codes and curricular proposals for different levels of qualification. We've tried in this work to pinpoint the main discussions which take place in the area of the teaching formation, based in the views of modern writers. We ve also tried, through the Social Representations Theory, to reveal and learn how the agents directly involved in this process realize and react, that is, the teachers who cope with the beginning stages of the Fundamental Teaching in the public school system in Natal/RN, taking into account that, in many cases, such formation demands the rethinking of the very formation policies. We've also adopted the concepts of field and educational field introduced by the praxiology of Pierre Bourdieu. It s been considered a fundamental theoretical reference which enables the understanding of social phenomena, both in macro and micro viewpoints. Thus, we do not neglect the whole, and particularly, the nuances of each context or specific situation. In the methodological track we ve used for data gathering the Free Word Association Test, and the Semi-Structured Interview, and also secondary sources for the characterization of the research spectre. Data treatment and analysis were performed with the help of the following software: SPSS Statistical Package for Social Sciences and EVOC; and the method of Content Category Analysis. The combination of the concepts and techniques mentioned above was necessary to cope with the qualitative and quantitative aspects, in our attempt to offer a wider range of contributions and outcome validations, which have shown, among other less explicit elements, the existence of a social representation of the teaching formation such as: knowledge theoretical and practical; a necessity imposed by the symbolical conflicts of the social field; capacitation and compromisse. We acknowledge the relevance of the thoughts discussed here, though aware that this is just one of the possible approaches to the theme

A auto formação maternal: cenários de uma educação vivencial humanescente

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Corporeidade e formação docente: cenário geográfico das histórias de vida

L étude vient de présenter la recherche qui a eu lieu pendent la formation des professeurs d l'Institut d'Enseignement Supérieur Président Kennedy à Natal-RN, dont les sujets son les professeurs de la septième période du Cours Normal Supérieur. L objet d´étude sont les pratiques formatives de ces professeurs en formation par des difficultés qui ils présentaient pour comprendre les relations entre les domaines de connaissance le l interface avec les expériences, et le processus de formation. L objectif a éte identifier dans l expériences ludopoèthiques, les lieus de construction de l autoterritorialité des professeus en tant qu en formation. Parmi les pressuposés théoriques qui ont soutenu le développement de la recherche comprennent: Enseignement Humain ; Corps-espace; Corporéité; Auto-formation et Transdisciplinarité. L'approche de la recherche qualitative adopte les principes de la rechercheaction- formation, dans une perspective etnophenomenologique. La discipline Memorial de Formação avec l'utilisation de jeu de sable,a été le laboratoire des expériences, l outil de la recherche qui a subventionné la construction des narratives autobiographiques. La perspective transdisciplinaire sur l'étude a rassemblé dans la dimension épistémologique les références théoriques de la Géographie, de la corporéité. et des histoires de vie dans la formation. L'Atelier Corps (Bio) Géographique a été développé par cinq rencontres: Paysage du Sensible, Lieu de Sentipensar, Territoires des Découvertes, Région des Savoirs et de l'Espace Géographique de la Ecoformação. Les expériences vécues dans l'Atelier par les participants de la recherche ont permis une sensible et attentive écoute sur leur propre histoire, en donnant la possibilité de la reconstruction de la mémoire, et en faisant réfléchir sur son l'auto-formation. La découverte des cartes et la construction d un nouveau paysage autoformatif par les memoires ludiques des différentes phases de la vie, a fait apparaître la propriété ludopoètique de l autoterriotalité, au même temps qui a enrégistré la construction ontologique dans sa corporéité

Política de formação docente na América Latina :Argentina, Brasil e Chile

This work aims at studying the policies of teaching training and their impact in the actors and in the education systems of the countries in which these policies were implemented into the context of neoliberal reforms. We particularly studied these policies in three Latin America countries: Argentina, Brazil and Chile. The policies studied here are the ones implemented from the 90 s. However, the horizon of this study is at the beginning of the 80 s, period that starts one of the four intervention initiatives of education here studied: The Main Project of Education For Latin America and Caribbean (PROMEDLAC), which in 2002 goes into a new stage and it is called Regional Project of Education for Latin America and Caribbean (PRELAC), worked out by UNESCO as a request of government representatives of countries of the region, based on the suggestions of Declaration of Mexico , signed by them in 1979. These suggestions will be in the base of the other three initiatives: The Education For All (EPT); Ibero-American Conferences of Education (CIE) and The Hemisphere Action Plan of Education (PAHE), whose documents are the base to the production of an abundant legislation and normatization on education that created the parameters on which the policies of education reforms were worked out and implemented and the dynamism of our education systems from the last two decades of the twentieth century on. All these initiatives intend to work with objectives, projects and programs that, in some cases, in isolation or in groups, are under influence of their actions in a way that frequently it is difficult to identify which of them is the main responsible for some advances. It is important to stand out that not all of the suggestions produced by these initiatives were implemented as policies, and many of them to be implemented were changed in such a way that they were distorted, even they were a result of a multilateral deal, each country gave to them its own interpretation. Moreover, in all these processes the teaching entities had and keep having a fundamental role. The evidences, result of the evaluations of each initiative, show that education policies implemented produced advances in several aspects. They are still not the ideal ones, in truth, but they do exist. In relation to the teaching questions, there were and are still being implemented multiples and varied actions that did not have the expected impact in the education systems of the countries, objects of this study, but, many of them that go on, are promising and start to have a positive impact into the education systems. Even so, the teaching subject matter, even playing a central role in the agenda of all countries of the region, still represents one of the big challenges to the advance and improvement of our education systems

CORPOREIDADE E A MELODIA DA EXPERIÊNCIA ESTÉTICA NA FORMAÇÃO HUMANESCENTE DE CANTORES-EDUCADORES

In order for this study to be developed, the central goal on our investigation was defined as analyzing and interpreting the aesthetical experiences meanings lived by singers-educators in the human formation. The interest for the aesthetical experience theme was built from my own experience for the last twelve years as a member of the School of Music Madrigal, the oldest group in the State Federal University, created for research and cultural extension with structural perspective which brings closer teachers, students and the outer community that comes from different social realities to face the challenge of combining the ability of singing, the corporeity involvement and the aesthetical experiences meanings. This paper points out the understanding of art as perceptive expression of human emotions, such as the creation of existential demand, the restructuring of oneself and the constructions which shape beauty. We seek a dense contribution of new challenges to the peculiar demand of human potential in terms of sensibility repertoire, of involvement, of expectation in magnifying the possibilities and the human and social competences. In the formation human process, we find a living field blooming with natural artistical possibilities, experimenting emotions and feelings shared in collective life, and bringing out impulses to unexpected ludic creation, establishing a powerful aesthetical ambience which highlights the symbolic and imaginary with the deepening of rich ludopoiese properties in several meanings. From the guiding principles of etnophenomenology we find structural and indispensable perspectives which contemplate values, desires, archtype images and ideas that impress originality and fertility to the study. On this path we understand the abundance of living moments of intense commitment, acquaintance, challenges, reunions and connections that stand out from fundamental aspects to freedom, autonomy, creativity and new discontinuities. This acknowledgement brings us closer to the enlighted fullness which makes us humans

Apoio pedagógico, ação coletiva e diálogo: tramas da formação continuada em educação inclusiva

This work detaches the importance of the continued formation of the educators in terms of the inclusive educational process, pointing as basic elements the continued formation of the educational professionals. In this direction, it points and it defends the dialogue in the perspective of David Bohm, with interfaces of the freireanas ideas, as a methodological resource of action that allows the organization of strategies of collective and effective pedagogical support in inclusive schools, in the same time articulates the continued formation of the professionals in education. Characterized as research in a dialogical action with collective participation and collaboration, it counted with the participation of 87 educators, between professors, pedagogical, managing coordinators and specialists of special education in two schools of the state and municipal public system of Natal/RN. The results had pointed with respect to the viability of the dialogue as articulated methodological tool of the continued formation in service, when providing the establishment of personal and professional relationship between the educators, favoring the discursive enjoyment of the lived experiences, allows the organization of strategies of collective and effective pedagogical support in the scholar environment. On the basis of these results, this work also points to some items to reflections as the reorganization of the Secretariats and the schools, in the direction to brighten up the fragmentation and the discontinuity of the pedagogical actions evidenced and to instigate a process of changes that has glimpsed the professional development of the educators through its continued formation in service and the improvement of the school in the way of the concretization of an education directed toward the acceptance, respect and attendance the diversity of its pupils, as detaches the official documents and the studies on the inclusive education

Análise de necessidades de formação: uma prática reveladora de objetivos da formação docente

In recent years, in Brazil, researches in the area of education have been focused on the study of the necessities of formation, by the practice of necessity analysis, to subside the continued teacher formation programs. This research on the necessity of the formation of literacy teachers in the initial years of primary education originated in our discussions in academia, regarding the issues of retention and evasion related to basic literacy teaching in Brazilian public schools. We defined as a goal: to know the necessities of the formation of literacy teachers from Odila Leite Municipal Elementary School, Natal/RN, which focuses on the literacy teaching on that level of education and in Adult and Youth Education. The object is the necessities in these teachers formation. The thesis is that the literacy teacher reveals/constructs formation necessities when speaking of her practice, when exerting said practice or even when producing teaching materials which subside that practice; in other words, when making the theoretical/practical relation related to literacy teaching. The approach is qualitative, according to which the natural environment is the source for data collection; the focus of interest is the process of knowledge construction, and fundamental importance is given to the meanings constructed by the subjects. We comprehended that necessity is a socially constructed subjective phenomenon, and that necessity analysis allows the revelation of formation objectives. We used the case study as a methodological strategy which permits: studying a well-defined entity, [ ] as well as an academic institution; the global comprehension of the phenomenon of interest; discovering what is most essential and characteristic in the object. We counted with 17 teachers, 3 of which had their teaching practices observed. We observed the school routine, analyzed the main class documents and plans and interviewed the 17 teachers. We triangulated the data obtained by the routine observation, the observation of the three teachers practices and by the document analysis, next, we triangulated this data with the data from the analyzing the interviews with the 17 teachers. Such procedures reveal formation necessities in those teachers , such as: studying child cognitive development; reviewing the concepts of literacy teaching; reviewing fundaments of written language psychogenesis; reflecting on reading practices and literature; reflecting on the practice of daily planning; reflecting on the school s material conditions and the family/school relation. We concluded that researches of this nature contribute to the orientation of teacher formation programs