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

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

Guilherme de La Penha: uma história do seu itinerário intelectual em três dimensões

This study focuses on the central Brazilian historiography of science, focusing specifically on the life and work of a contemporaneous mathematician-physicist, and becomes part of the set of research results that investigate, organize and describe personal, intellectual and professional itineraries of Brazilian scientists and educators. The theme chosen for the study ran from seminars on Mathematics in Pará and is up to organize and describe the life history, education, professional experience and scientific production of William Mauricio Souza Marcos de La Penha (Guilherme de La Penha), considering their academic, professional and intellectual life history, so that their academic and intellectual production be spread over the Brazilian scientific and academic community. We adopted the historical research as theoretical and methodological base for the development of this study, rising arguments about the profile of Guilherme de La Penha to characterize him as a multiskill intellectual and to reveal that his thoughts about science, technology, training scientists and educators were in accordance with their writings and their professional practice in order to build a first story about the life and work of William de La Penha. In this sense, we took the theoretical aspects related to historical research, biographies, intellectual itineraries, files and inventories as sources and historical construction vehicles in order to point out the essential elements to form a profile of the transdisciplinary intellectual historians, ie a profile scientist who carries out the research, management and administration, as well as a committed educator to the on-going training and forming process. The results pointed in different directions, among which we highlight the creation of Seção Guilherme de La Penha at Universidade da Amazonia, producing several articles about the life and work of William de La Penha presented at national and international conferences and the proposal for documentary displays which could contribute to understanding the implementation of a scientific area in Pará State, an area that would not only be restricted to the production of knowledge, but more than that, it would include the spreading, which provides various means, primarily through education. Thus it was possible to ensure that La Penha has an intellectual profile that can be considered a multi-and transdisciplinary intellectual who defends the possibility of forming a scientist one and multiple, non-linear attitudes and dialogues with all other areas in order to be understood under a model scientist for the twenty-first century based on the model clearly inspired by the scientist authors with which he identified throughout their training and professional activities, like the three that stood out in their relationship science: Archimedes, Leonhard Euler and Cliford Ambrose Truesdell

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

A história local e seu lugar na história: histórias ensinadas em Ceará-Mirim

This Researchis about history education and is directed toward the understanding of teacher practices in schools of the basic education in Ceará-Mirim, a city located in the state of Rio Grande do Norte. Its purpose is to understand the approaching forms of local history in 5ª to 8ª grade classrooms in the light of the recent innovations in the fields of the historiografy and education. The study was done with a view of investigating local history is being taught by teachers, as well as reflecting on the necessary conditions to the accomplishment of a teaching whose know how to make possible to break, on the one hand, with the limits of the narrow `local view`, and, on the other hand, with the globalized view, negating the local particularitities and especifications. Such questions had emerged as the understanding of what local history contents can constitute in a significant component in the production of school historical knowledge in 5ª to 8ª grade classrooms. History education is analyzed, considering the depositions of three teachers of Ceará-Mirim in reagard to its historiography conceptions and history as a school subject. This inquiry is of a qualitative nature and had as a main strategy of data construction from the interviews with the teachers. The analysis indicates the permanence of teacher practices who, even though presenting innovations, bring an implicit value hierarchy where the place or thematic places are not contemplated in the school contents or appear overwhelmed by general history and the Brazilian history, configuring itself as a hierarchical relation to problematic historical ones. Thus the necessity of having historical school knowledge, that considers the local especifications, without, however, ignoring the articulations with other spatial dimensions

História das mulheres idosas do Grupo Aurora da Vida Campina Grande-PB (1940-1950)

La recherche intitulée l Histoire des femmes agées du group Aurore de La Vie: Campina Grande-PB (1940-1950) a surgit comme consequence de mon observation sur les interêts de femmes en retrouner à l école aprés qu elles étaient arrivées aux soixante ans, um moment de la vie que malgré son importance est encore considerée par trop de gens comme des moments d être seul jusqu à la fin de la vie. Alors, nous avons formulé la question la plus importante de ce travail: Quel est l histoire de l éducation des femmes agées du group Aurore de La Vie, dans le période de son education d enfant? Un group de 25 femmes qui ont étudié le projet Digna, on a fait une seletion de treize agées, entre 65 et 80 ans, qui s appellent: Perpétua, Florinda, Benta, Ambrósia, Celestine, Cordélia, Circe, Filomena, Desdêmona, Dorotéia, Ofelia, Martítius e Nausica. Beaucoup d intelectuels nous ont aidé avec la base theórico-methodologique et nous ont presenté l histoire des excludées comment une histoire en construction. Parmis ces intelectuelles on rencontre Chartier, Halbwachs, Elias, Perrot, Bosi, Bezerra, Morais et Machado. Pendant notre recherche nous avons employés des narrations, des entrevues, des questions ouvertes ou les femmes puissent parler sur l histoire de leur vie. Nous avons regardé aussi le fiche des agées, le arquive de La Secretarie Municipale de Assistence Social (SEMAS) du Hôtel de Ville de Campina Grande-PB. Nous avons aussi étudié sur la legislation relié à la tematique de la Constituition Brésilienne dans l estatute et dans la Politique Nacional de l age. Notre étude nous a donné des analises sur les themas: pauvresse, travail, sourvenirs, jeux e aussi punitions scolaires. Nous sommes arrivés à la conclusion qu à l époque de son enfance, l éducation formale était déjá determinée pour le mariage, la pró-création la famille. Enfim toujours dédans de la maison excludées du reste du monde. Nous avons compris que pesquiser cet object d étude est un contribut avec l histoire des excludées en cassant le silence des femmes lesqueles on été ignorées par presque toute la prodution historiographique

Há possibilidade do ensino da história desenvolver o pensamento teórico?

The expectation that there is a relationship between the teaching of history and the development of theoretical thinking , this study aimed to examine this relationship with the collaboration of two teachers who teach in the fourth year of elementary school in a public school in the city of Mossley - RN . Sues the theoretical and methodological contributions are identified with the history Dialectical Materialism . The methodological approach was collaborative research . Was based on studies of Vygotsky ( 1998, 2001 ) , Rubinstein (1965 , 1973) , Ibiapina (2007 , 2008) , Afanassiev (1985 ) , Goes (2003 ) , Ferreira and Ibiapina (2005 , 2006, 2007 ) , Davydov (1981 ) , Glenisson (1991 ) among others . The methodological procedures consisted of : meetings , questionnaire , interview , cycles of reflective studies , reports of experiences and reflective session. For data analysis , we used the methodology of conceptual elaboration , proposed by Ferreira (2009 ) and the shares of reflection proposed by Magalhães (2000 ) . Data analysis indicates the predominance of empirical thinking of collaborating both with regard to the process of design and ( re ) development of the concepts of history and theoretical thinking on the relationship between history teaching and the development of theoretical thought . However , we see the beginning of the start of the change process in thinking the teaching of history

Corporeidade e humanescência: cenários ludopoiéticos na vida de professores contadores de história

During the latest years, the art of storytelling has received special attention from those who make education, art and culture. The storyteller is a singular person who manages to seduce itself and its listeners, by involving them in an atmosphere of pleasure and complicity, dodging situations, space and time, providing delight, stimulating creativity, daydreaming and imagination. This is a study developed with storyteller teachers that takes as its starting point the need to change the landscape of education, which seeks to emphasize the affirmation of embodiment of the teacher, so that it participates in a creative self-dynamic and the context in which they live. In addition , the following purposes accompanied the study : education - liberating practice and human development ; corporality - radiant , first and main focus of educational criteria; playfulness - a human dimension ; autopoiese - as an organization of human beings that produces and continuously transforms itself; flow experience concerns the feeling of full involvement in the activity , the psychic energy toward something that is being produced or performed , something that brings us pleasure , happiness and profound sense of well being. As general objective of the study we analysed the humanescent self-formation and its ludopoiética nature in storyteller teachers from humanescent workshops developed in a state school in Natal / RN. In view of the overall objective , we developed the following specific objectives : to identify the ludopoiéticas properties of self-worth , self-connectivity , self-territoriality , autotelia and self realization present in the life of storyteller teachers and the changes in the school environment, from the development of humanescent workshops; reveal the nature of humanescent self-training in storyteller teachers lives. The investigated group had the participation of eight teachers, and had the Escola Estadual Potiguassu as environment for the research. This is a descriptive study, understood as an action-research , developed with basis in the fundamentals and ethnomethodological principles , which used eight humanescents workshops , developed in the context of humanescent experiential pedagogy in conjunction with participant observation .The analyzes were focused on the chosen categories for the study : self-worth , self-connectivity , self-territoriality , autotelia and self-, indexicality and reflexivity . In terms of conclusions, we noted that the properties of ludopoiese were unveiled in the lives of the teachers by providing changes in their ways of being and living together. The teachers have become more creative and intensely began to experience their own life, social life, as well as its meaning. The struggle for a more cheerful and happy school was another important development highlighted in the reports of the teachers, also observing that there was a significant improvement in the reduction of violence in the school environment. Thus, we emphasize that the teachers began to recognize themselves like being ludic, playing with the beauty of storytelling and life

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

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

As ações político-pedagógicas do Serviço de Assistência Rural-SAR

This program resumes the history of the political-pedagogic actions on the Serviço de Assistência Rural SAR, of Natal archdiocese, and analyses the contributions of this actions on the process of rural workers organization in the social movements on the countryside. The educative actions of the RAS are happening in a permanent tension between the pedagogic project of a church in change and, a pedagogy of the groups, communities and social movements, that is centered in the cultural action, in the culture lived from its condition of citizens. This research reveals that this entity fulfilled a strategic attribution for the Natal s church on the formation of the community leaderships, at a first moment and leaderships for social movements. Before the military dictatorship, the work methodology of this entity had as priority, begin from the reality leaved by the rural workers in the expectation that these became to qualify themselves for a more citizen participation in the call development. During the military regime, the entity goes measuring theirs activities in the new context, until the moment that redefines the work line. Goes then defining regions and thematic of operation supporting the fights for land, salary campaigns, women agricultural workers organizations. The pedagogy of work has as one of its supporters the Paulo Freire s pedagogy, privileging the dialog as a source of production of knowledge from the reality leaved in a permanent transformation. The actions of this entity, with the groups and social movements, produces the necessary knowledge for the organization of the rural workers while individual and social subjects of a changing world. The process of action-reflection of the activities intended, by a creative form, a permanent production of strategies of fight of the workers. Research ever, not to make accommodate itself to the new knowledge acquired in the action-reflection it is part of the pedagogical idea of this Institution. One searched in this process of formation of the man and the woman to question the reality, to create actionreflection-action spaces on the fights for a possible transition of an ingenuous conscience for a critical conscience, in view of the transformation of the structures that oppresses them

Hospital de Pediatria da UFRN: resgatando memórias na construção da história

This study deals with a historical, descriptive and exploratory approach aiming to recall the origin and trajectory of the Pediatrics Hospital at Universidade Federal do Rio Grande do Norte. This research also deals with the insertion of the nursing department in the same Hospital. This was realized through existing records and discourse collected through interview of professionals-doctors, nurses, midwifes, nursing attendants and psychologists. Thus, a network was established and consisted of qualified informants, composed through reference analysis. Data treatment and analysis was performed based on the collection of oral data. The data was considered according to the font s context, all of which depending on process of comprehension and interpretation. The research was based on the main theme, through oral history used in order to build a historical background. These main themes were then subdivided and other discourses were made present such as: the historical scene, the dream came true and the insertion of nursing, present in the history construction; all of which enabled the research. Thus, in this process, it was possible to identify the most important characters of the origin of children s health services organization and assistance at Rio Grande do Norte. It was possible to perceive that this institution aimed to initiate health services that dealt with an education for future generations. This was observed through the creation of the Faculty of Medicine of Natal and as a consequence, the installation of a Pediatrics Hospital that dealt with medical education. The research made evident that the nursing contributed for a structuring of quality health assistance towards children, even though the resources and working conditions were scarce, extensive work shifts and low professional qualification. It was observed that the there was change in the category s profile, once nurses were introduced in the service. Once this happened, changes in mentality, and innovative processes as well as professional conducts were established. The distinctive relation between acting and doing of doctors and nurses were also dealt with. Thus, the first item is done towards the idealization, projection and prescription. The second issue deals with concretization in realization of something that was not projected and realized, causing suffering and unsatisfaction. At the end, it was possible to confirm that oral history is a very rich element and it is possible through subjects that build history, through their perceptation of the facts and the context in that their are inside