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

A estética da Commedia dell Arte: contribuições para o ensino das Artes Cênicas

Theatrical phenomenon borned in the Italy the Comedy dell Art concerned to it climax in the XVI century and spreading itself by the word than can be sight like the theatre base modern. Lasting parallel the conventional theatre since the three hundred years, this gender influenced significativly the making theatrical in the Europe graces the popular character of its simulation turned for the improvise. In spite of treat a theatric manifestation no more existing in the present time, we understand that the Comedy dell Art was constituted in one artistic language whose esthetics centralized in the popular fanciful and in the improvise permitted a rich possibility of verbal and not-verbal communication that today can to be taken again in contemporary productions theatricals. Departing of an approach of esthetics, this work has with purpose concentrate the references esthetics that configure that one artistic manifestation such that one references can contribute for the Arts teaches in the present times. We appeal the text and image of Comedy dell Art, such this historical reference that in context, with fountain investigated that mean and if complementary in one esthetic reflection for the creation of meaning diverse and news interpretations for the purpose investigated if having with base some analysis categories such as: the actor s body, the actuations spaces and the esthetics categories such the ugly, the comic and the absurd. To investigate the Comedy dell Art esthetic in the ambit of the teach of Arts Scenics is a manner of be understand the artistic universe of three century behind that can be meant, revived, in the marking possibilities of an art teach able to incentive the critical, the appreciation, the discussion and the transgression of instituted true. Having investigated the exhibition Comedy dell Art esthetic we rebound four stich that we judge significative for we think the Arts Scenics teach, they are: the articulation between actor s body, the text and the space actuation in the play; statement what it is given between actor s body and the on-looker and the every gesture that did share of scene in a popular scenic space; a conception actor s body that transgress with the true duty socially that is capable the to admit its dimension Dionysian, creative and ambiguous in the to do theatrical; the text conception that get beyond the ambit the word writing by the dramatist and talked by actors, if spreading the other elements significance in the scene like gesture, the parody, the recent news, the gags and the word used in the day-to-day; the scenic space like a statement symbolic between actors and on-looker that make a quality of amusement pact supported by the scenic true of artist that actuate in not usual spaces bid at an auctioning degrees of participation in the building the scenic phenomenon; and the importance of esthetics categories such as the ugly, the comic and the absurd, those categories that foundation like a do scenic transgressor make a possible exchange mutual between actor and appreciator. The statement of esthetics categories in joint continuous between the body, the text and the scenic space evident themselves in doing theatrical and in the its appreciation. We believe that the reflection esthetic about the Comedy dell Art in the arts class, consider the stich detached, can favor possibilities of to share discovery, ideas, feelings and attitudes, and can permit the observation of different stich of view, establishing the statement of individual with the group in a participative and democratic form

Apropriação da escrita por crianças em contextos sociais adversos

O presente trabalho tem origem em nossas vivências como professora alfabetizadora na escola pública em contextos de periferias urbanas, o que nos levou ao envolvimento com questões relativas à (não)aprendizagem das crianças em seu processo de alfabetização. Por outro lado, a inserção na vida acadêmica nos aproximou de perspectivas de compreensão dos processos de aprendizagem e desenvolvimento das crianças, bem como do papel que o meio sociocultural tem nesses processos. Dessas experiências, emergiram os questionamentos que guiaram nossa investigação: em que contextos/situações crianças que vivem em um meio socialmente adverso se apropriam de conhecimentos acerca da linguagem escrita? Onde, com quem, como e o que aprendem as crianças de tal meio sobre a escrita como prática cultural? Tendo como objeto de estudo os contextos/situações em que crianças que vivem em contextos sociais marcados por condições adversas de extrema pobreza se apropriam de conhecimentos pertinentes à linguagem escrita, definimos, como objetivo, Analisar contextos/situações (intra e extra-escolares) em que crianças que vivem em um meio social adverso interagem e se apropriam de conhecimentos pertinentes à linguagem escrita. O campo de estudo foi a comunidade Frei Damião, localizada na periferia do município de Caicó, RN, originária de um lixão e reconhecida na região por ser economicamente carente, com alto índice de analfabetismo e baixíssimo nível de qualidade de vida (escassez de condições sanitárias, serviços públicos de saúde, saneamento e segurança, dentre outros próprios de meios urbanos). Assumindo os princípios da pesquisa qualitativa e as características de um estudo de caso, tomamos como sujeitos do estudo, nove crianças, com idades entre sete e oito anos, residentes na comunidade e estudantes da escola no segundo ano do Ensino Fundamental. Além das crianças, foram também considerados como sujeitos, suas mães, a diretora e duas funcionárias da escola. Os dados foram construídos a partir de entrevistas semi-estruturadas, questionários e anotações em diário de campo. Da sistematização desenvolvida com base nos princípios da análise de conteúdo emergiram evidências de que, mesmo vivendo em um ambiente marcado pela escassez de bens materiais, como de práticas e materiais escritos, as crianças constroem conhecimentos significativos sobre a escrita, apresentando níveis avançados de conceitualizações sobre o funcionamento do sistema alfabético. Tais construções resultam de interações em que se envolvem em diversos contextos intra e extra-escolares em sua comunidade nos quais são mediados, tanto por seus pais, em suas casas, como pela professora, na escola. Mesmo analfabetos ou com pouca instrução escolar, verificou-se que os pais inserem as crianças em processos de letramento e alfabetização ao valorizarem a escrita e seu aprendizado. Enquanto contexto de interação e apropriação de conhecimentos destaca-se, na comunidade, a escola e suas práticas. Mediante parcos recursos e limites, a professora cria situações de aprendizado do funcionamento do sistema de escrita e de habilidades textuais, aproximando as crianças da escrita como linguagem. Esses resultados apontam para a necessidade de reflexões e reformulações acerca das possibilidades da escola pública na promoção de educação de qualidade para as crianças de meios populares

Pensamento teórico e formação docente: apropriação de saberes da tradição lúdica na perspectiva da teoria da formação das ações mentais por etapas de P. Ya. Galperin

The study investigated the possibility of organizing a didactics unit for formation of hability of identifying and explaining the popular traditional games in the process of licensed formation in physical education. Had basic premised, the thesis formulated by Piorte Yakovleviche Galperin that the fundamental condition that mode determines the student s way of thinking and the theoretical structures thought. Is given by the method of organization activity that form the basis of guiding skills assimilates from this assumption the study defended the thesis that the contents of popular traditional games can be organizeds according the systemic functional-structural focus. As a method to plan a didactics unit that contributes to development of theoretical thought and the professional development of graduates in physical education. In this sense the general goal was studied and develop a training proposal of ability to identify and explain the popular traditional games for physical education teachers oriented to contribute to the development of theoretical thought. In the construction process of the thesis in a first moment was determined the invariant conceptual of popular traditional games from the method of analysis of activity, after was organized the content of popular traditional games according to the structural-functional systems revealing the essential properties elements and levels of relationship.These procedures provided to the construction elements of the concept popular traditional games, and was the basis for planning a didactical unit to the formation of ability to study. These strategies enable to build a set of prepositions to argue, as a result of the increases in the knowledge of the professional formation in physical education. The study was introduced the fallowing contributions; formulated a teaching proposal to develop the ability to identify popular traditional games, as a cultural and historical contribution and the development of an individual, in initial formation of physical education teacher, attuned to the demands of training and use of knowledge that requires this level of education, defined and organized the knowledge of popular traditional games , this enables a teaching able to raise the cognitive abilities and the theoretical concept of personality of graduated in physical education

Educação escolar para crianças: o que dizem sujeitos deste direito?

The text aims to discuss the problems that this would be set: - What are the concepts of public school children about their right to primary education, as required step in the Basic Education? - What are conducted by children on the elementary school, in terms of its structure, teaching, and acquisitions provide for their users, especially when it comes to literacy? In order to answer these questions, we conducted within the qualitative a case study within twenty children of the early years of elementary public school, ten of the School Mauricio de Sousa and ten children of the School Monteiro Lobato. with construction procedures of data, we worked with observation, semi-directive interview, questionnaire and document analysis. In analyzing the data, two categories emerged: right to education and school for children. The first focuses on what children think about the legal guarantee to school, seeking to understand if they understand the educational area as a right and relate what the law says and the reality in which they participate. The category for school children, including their purposes, characteristics, space literacy and its relationship with the teacher. In this sense, we comment, taking as its founding, the speech of children in their schools, focusing on how they perceive the school in terms of its structure and functioning, relations with the knowledge and the other children. With regard to child rights, the appreciation of Brazilian children should be the basis of the struggle for a more just, democratic, nondiscriminatory. However, children show not recognize education as a right, but as one who deserves the credit, that is, those children who are always attentive, do not fight and do not complain. In interviews, children express a simple wish child that the school had toys. A school for children should be a place with its own characteristics: cheerful, lively, colorful, which included the same time, security and challenges. Children point to the hope that the course of action the teacher was guided by respect their differences in a more emotional, especially with regard to issues of authority and discipline of the group. The most important learning is for all subjects learning to read / write, differing in the idea of how to learn. Unfortunately, for some students, learning reading and writing appears as a difficult and enjoyable process is not perceived by some subjects up to recognize the instrumental writing. Finally, we point to the actors of the school to launch a more accurate to say that the children and how to outline your main locus of learning

PENSAMENTO TEÓRICO E FORMAÇÃO DOCENTE: apropriação de saberes da tradição lúdica na perspectiva da teoria da formação das ações mentais por etapas de P. Ya. Galperin

The study investigated the possibility of organizing a didactics unit for formation of hability of identifying and explaining the popular traditional games in the process of licensed formation in physical education. Had basic premised, the thesis formulated by Piorte Yakovleviche Galperin that the fundamental condition that mode determines the student s way of thinking and the theoretical structures thought. Is given by the method of organization activity that form the basis of guiding skills assimilates from this assumption the study defended the thesis that the contents of popular traditional games can be organizeds according the systemic functional-structural focus. As a method to plan a didactics unit that contributes to development of theoretical thought and the professional development of graduates in physical education. In this sense the general goal was studied and develop a training proposal of ability to identify and explain the popular traditional games for physical education teachers oriented to contribute to the development of theoretical thought. In the construction process of the thesis in a first moment was determined the invariant conceptual of popular traditional games from the method of analysis of activity, after was organized the content of popular traditional games according to the structural-functional systems revealing the essential properties elements and levels of relationship.These procedures provided to the construction elements of the concept popular traditional games, and was the basis for planning a didactical unit to the formation of ability to study. These strategies enable to build a set of prepositions to argue, as a result of the increases in the knowledge of the professional formation in physical education. The study was introduced the fallowing contributions; formulated a teaching proposal to develop the ability to identify popular traditional games, as a cultural and historical contribution and the development of an individual, in initial formation of physical education teacher, attuned to the demands of training and use of knowledge that requires this level of education, defined and organized the knowledge of popular traditional games , this enables a teaching able to raise the cognitive abilities and the theoretical concept of personality of graduated in physical education

O grupo escolar modelo augusto severo (1908-1928): vinte anos de formação de professores

Ce travail a pour objet d'étude le Groupe Scolaire Augusto Severo, situé à Natal, première institution du type dans l'État du Rio Grande do Norte. Il analyse la pratique pédagogique, le modèle d'éducation primaire et d'expérimentation des personnes en formation de l'École Normale de Natal, entre 1908 et l'année de 1928. Dans cette période, se sont produites des tentatives d'organisation scolaire par le biais de la Réforme de l‟Enseignement Primaire (1908) et de la Réforme de l‟Enseignement (1916). Nous nous sommes basés sur l'Histoire Culturelle définie à travers la conjonction de l'histoire des objets dans sa matérialité, des pratiques dans leurs différences et configurations, des dispositifs dans leurs variations. Nous avons utilisé les journaux A República et Diário do Natal, la revue Pedagogium, des Lois, des Décrets et Messages du Gouvernement, des Codes d'Enseignement et le Régime Interne des Groupes Scolaires, documents qui proviennent du fonds de l'Institut Historique et Géographique do Rio Grande do Norte (IHGRN) et des sources iconographiques, provenant de l'Institut du Patrimoine Historique et Artistique National (IPHAN/RN). Dans les Archives Publiques de l‟Etat (APE/RN) nous avons recherché les Livres d'Enregistrement des Groupes Scolaires et Écoles Isolées, Offices, Inscriptions, Rapports et Actes de réunions de la Direction Générale de l'Instruction Publique et Journal de Classe. Nous avons analysé l'action des professeurs dans cette institution primaire, ainsi que l'histoire des disciplines scolaires et des programmes d'enseignement, la problématique des contenus et méthodes. Nous avons observé que la méthode intuitive était la dynamique de la pratique pédagogique efficace et que les rites de récompense, les cérémonies civiques composaient l‟ensemble des idées modernisatrices de l‟époque

A escrita e a criança com síndrome de Down: uma relação possível na escola regular

The school inclusion is based on respect for diversity and the belief that everyone has the capacity to learn and develop, for this the school needs to prepare itself to meet the differences and provide a meaningful learning for everyone, including those with Down syndrome. It is in the interaction with others that children develop their skills and exchange substantial experiences to learn the school and non school knowledge. Among the knowledge the school must offer students, there is one that is indispensable to the present society; the writing, because writing is a way to Interact, to communicate and to build autonomy to relate in society. Before exposed, the research that started this study aimed to investigate the level of the writing conceptualization of children with Down syndrome during the literacy process in a regular school of the private school network in the city of Natal/RN. For carrying out this study, initially we conducted a qualitative research, using the bibliographical as a methodological recourse, seeking to the deepening of information, based on the literature about the subject, which allowed us to collect data about people with Down syndrome, their education and the process of the writing acquisition. Later, a case study was performed, involving free observation in the room and interviews with teachers and children, trying to verify how this writing acquisition process occurs by children with Down syndrome. The data analyzed and information recorded demonstrated that the school inclusion, when taken seriously, benefits the learning of writing for children who have intellectual deficit, and, mainly, they develop in this environment and are able to learn to write, as long as their own pace are respected

O memorial autobiográfico: uma tradição acadêmica do ensino superior no Brasil

The thesis has as object of study the autobiographical memmorials. The general objective is to describe the history of the memmorial as an academic tradition of higher education in Brazil. Considered a hybrid genre, memmorials are known for focusing on life stories from a scientific perspective. The investigation revolves around three intertwined branches: History of Education, educational practices and language usages, which allow us to conduct a dialogue with multiple theoretical-methodological references with a view to supporting our analyses. The corpus used for the analysis was made up of 40 autobiographical memmorials, distributed as follows: 16 academic memmorials, dated from 1935 to 1970; 07 academic memmorials, dated from 1980 to 2007; and 17 formation memmorials, dated from 1995 to 2000. In this corpus, we also included official documents, which relate to legislation contained in edicts, resolutions, ordinances, regulations, which we used with a view to: 1) getting to know and understanding the big picture of higher education regulation in Brazil and the aspects related to the higher education teaching career; 2) investigating the text of memmorials in the light of the injunctive discourse characteristic of the edicts and resolutions in which they were based. The analysis of the memmorial supported by the legislation which regulates it allowed us to reconstitute the image of the professor throughout 80 years in the Brazilian public university. For this purpose, the study was conducted in the theoretical-methodological perspective of the (auto)biographical research in Education and of the sociolinguistic studies on discourse genres and discursive traditions. The investigations reveal the memmorial as an academic genre in which the professor's academic-professional history and the history of the higher education teaching career in Brazil intertwine. Anchored in the Bakhtinian perspective on discourse genres, according to which the memmorials evolve and become more complex as their contexts of usage also evolve and become more complex themselves, the results of our analyses allowed us to correlate genre changes to the sociohistorical context and to its usage as an educational practice in the university, in the decades under study. Therefore, the analyses showed that these self-writings: go from latent subjectivity to pure objectivity from the 1930s to 1960s; they show total annulment of the subject from the 1960s to the 1970s; they reappear in the 1980s, having Professor Magda Soares' memmorial as perspective; they expand and diversify from the 1990s onwards, taking on a formative role and a perspective of future as well. So far as language usages are concerned, we investigated the relationship of the subject with the language, especifically the manifestation of alterity on the discursive tissue of the memmorials. In this branch, the analyses pointed to the influence of the authoritative discourse on the formation of the professor and of the injunction and reinventing discourses on the authorship process. Therefore, the autobiographical memmorial reveals itself as a specific expression of the Brazilian academy's cultural sphere and allows us to confirm the hypothesis that each memorial tackles a singular-plural situation, by presenting a dialectical articulation between private and public, according to the institutional structures, in which and with which the professor has already formed him/herself and with which he/she dialogues

Um estudo sobre o estágio supervisionado na formação inicial de professores de matemática na Bahia

This work arose from our concerns with the issues of teacher training for early childhood education. From the difficulties encountered as a novice teacher in elementary, we deem important to research training needs of these professionals. Thus, we define the objective of this research to investigate the training needs of novice teachers teaching Early Childhood Education/Elementary school. Our work fits in Educational Research Qualitative Approach, and its construction procedures of the semistructured interview data and document analysis. Our empirical field was made up of schools in the metropolitan region of Natal / RN, offering kindergarten / elementary school. The subjects are five teachers who act as holder of the elementary school class and have 0-3 years of teaching practice, characterizing the second Huberman (2007) as novice teachers. Data analysis, based on principles of content analysis, three themes emerged: Beginner Teaching Professor in Early Childhood Education / Preschool; Reasons explaining the difficulties Faculty / Formative Needs Teaching and Training in Early Childhood Education / Elementary school, from the Training Needs Analysis, with their respective categories, subcategories, contributing to our understanding of the subject matter. The entry into the profession is marked by mixed feelings of euphoria and fear, where there seems to be a "clash" with reality. The difficulties are related to the planning / execution of activities, meet the individual needs of learning and assessment of children. As a strategy to overcome the difficulties the teachers exercise the action-reflection-action in their practices and seek continuous updates in the theoretical and methodological framework of early childhood education. The reasons that define these difficulties may be related to the teacher, school, family, and students of these institutions. In experiencing these difficulties has outlined the need for teacher training, among which stand out studies on ethics in teaching with children, the concept of children and their childhoods, peculiarities of teaching / learning in preschool, toys and legal determinations on early childhood education, multi-language and expressions in early childhood education, specific content areas of knowledge, among others. Furthermore, studies on the theoretical as Piaget, Vigotsky, Maria Carmen Barbosa and Emily Smith. For these professionals to be a professional early childhood education is: like children, be patient and careful, have specific theoretical and practical training for teachers in kindergarten, being able to improvise with seriousness and competence and get updates on continuing education. The surveys, together with the authors and teachers, to confirm our understanding that the training needs of beginners may be related to shortcomings in the initial and continuing education

Construindo um modelo de referência ao despertar do interesse dos sujeitos em projetos educativos em ambiente on-line

This dissertation was written for the making of a model to be used as reference to the construction and diagnoses of educational projects in on-line environments. The model approaches a series of characteristics, technical and humans, which if considered can increase the potential of awake the interests to the active use of these projects for the students and build conditions to the development of an active posture by the students, fundamental factor to the educational advances. Focused in the students, not in the technology in use, we propose this model as a guide, reference to be used in a critical way in relation with every educational context. This research was made from the qualitative category, trough the method of study of case, using as reference to the analysis the use of the website guanabara.info - website outside of the school context - by it users, heard through the internet, by the use of semi-opened interview, in a data taken of the primary type. We follow as theoretical references Paulo Freire´s work, considering his vision of education and the building of knowledge as a process which occurs between man, and Celestín Freinet, in his pedagogy of humanized and critical insertion of the technologies in the school. At the end, we show the practical utilization of the model constructed using it for the diagnostics of an educational project in the on-line educational environmental moodle

As contribuições do proformação/pedagogia/UERN para a melhoria da prática pedagógica de professores

This dissertation aims at analyzing some relations established between teachers‟ formative proposal for docent knowledge and pedagogical practices in the Special Program of Professional Formation to Basic Education (Proformação in Portuguese) with the objective of investigating how teachers evaluate knowledge acquired during their course formation to identify its improvement in their pedagogical practice. This is a Pedagogical Program of the State University of Rio Grande do Norte chosen to be analyzed. The objective is to investigate how teachers, Proformação/Pedagogy course students evaluate privileged knowledge in that university formation and how the relation between this knowledge and their pedagogical practice are experienced in classroom as teachers, defining in which way knowledge constructed and reconstructed during the course contributes for an improvement of their pedagogical practices. We have interviewed fourteen Proformação/Pedagogy last-term teachers, emphasizing the analysis of their point of view as social actors related to docent university formation in service. The principles for this investigation comprehend a qualitative approach, in a case study modality, with an exploratory tendency, presented in the introductory section and along four chapters. The research is theoretically guided by Andoino (1998), Bardin (2009); Laville e Dione (1999); Bogdan and Biklen (1994), Hernandez Sampieri, Hernandez Collado and Baptista Lúcio (2006), among others. We justify this thematic choice, considering docent formation and its interface with an improvement for students‟ leaning, taking into account the strict relations between those elements. We have discussed on docent formative paradigms, based on a multireferential perspective, whose main authors that developed research in this area are: Gómez (1998), Sacristán e Gómez (1998), Tardif (2002), Altet (2001) Paquay e Wagner (2001), Garcia (1999), Baldi (2008), La Torre e Barrios (2002). We interviewed fourteen teachers, all of them in the last term of the Program. In the second chapter, we justify the choice of the subject, approaching docent formation and its relation with basic teaching. We understand that there is a strong relation between those aspects. In the third chapter, we discuss on some docent formative paradigms, among them, Gomes (1998), Sacristán and Gomez (1998), Tardig (2002), Altet (2001) Paquay and Wagner (2001), Garcia (1999), Baldi (2008), La Torre and Barrios (2002). We introduce the Pedagogical Program structure and specify which formative paradigms characterize it and identifying that one of the most prominent paradigm is a practical perspective with emphasis on reflexivity about the practice based on the premise that docent formation is be based on from learning to practice theory. We present an data analysis obtained from thematic categorization extracted subjects‟ discourses and, at the end, we discuss on evaluation of the teachers involved in the research related to the course contributions to provide an improvement for pedagogical practices developed by them inside their classrooms. We consider, thus, that teachers evaluate the Program as a guideline for (re)construction of diversified knowledge, which, in turn, provides the development of abilities to analyze classroom situations based on pedagogical theories and to develop investigative practice based on everyday experience. The results point out that some implications are relevant, among them: the thematic-choice, discussed previously, needs other kinds of investigations. The relation between theory and practice proposed in formation programs requires more systematic studies considering others aspects that characterize teaching process, and mainly, to provide investigative proposals of and about such practices

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