578 resultados para CNPQ::CIENCIAS HUMANAS::EDUCACAO::ENSINO-APRENDIZAGEM


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This work makes a documental analise about the relationship between families of Down syndrome students and professionals of who teach them, in order to improve the process of developing teaching-learning, in an inclusive perspective. For this, we use a qualitative approach, because we believe that the object of research is not a passive and neutral knowledge, since it has meanings and relationships whose can be better interpreted and understood by the researcher in a real and active situation. For the development of this research, a bibliographical review was made about the subject, and a case studied in two regular education schools, both of them at the city of Natal/RN, one public and another one particular. We work on these educational institutions with professionals and parents of Down syndrome students. As an instrument of building information we used a semi-structured interview and to analise the results a qualitative method. Crossing the stages, we noticed: the pedagogical coordinators who made up both analyzed schools showed interest about doing an effective work with parents, regardless of Educational Policy Project of each school, predict or not the participation on educational undertaken process; On teachers discourses, reporting the relationship with the family, we realize that one of those teachers try to keep a good relationship with parents, permeated by learning exchanges, guidance and knowledge, in relation to another one, even existing an apparent openness to dialogue, when parents have any suggestions or criticism, that attitude is not always well coming. From the parents interviews, we can emphasize, first of all, that both of them recognize the benefits of inclusion, with regard to socialization - in general from the coexistence with pairs and the process of teaching and learning, as shown in a consistent way. Regarding school meetings with teachers, the studied parents agree about importance of such appointments and try to attend them, besides the other events organized by the school, beyond keeping individual touch with the teacher, when necessary. They are always present, looking for get envolved in everything that happens at school, in order to know better what is being done, listening and may suggest alternatives to improving the educational process. We perceive, from the study undertaken, that although the school inclusion is not an easy process to be built, is something that could be achieved. For this, is necessary that professionals of education and families recognize their functions in the educational process and act jointly on this direction

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The purpose of this work is to approach and understand the Social Representations (SR) (MOSCOVICI, 2003) about Physics and Chemistry from people who are major in these courses, as well as their Social Representations about teaching . We took as principle that approaching these representations it would be possible to relate their symbolic contents, in order to show how people who are following the first segments of bachelor degree courses in Physics and Chemistry become teachers, taking into account a psychosocial view. Two source of data was used during this research: Free-association Technique FA (ABRIC, 1994); and Multiple Classification Procedure (MCP) (ROAZZI, 1995). The analytical treatment of the collected data from FA was done according to the proposition of Grize, Vergés and Silem (1987 apud ABRIC, 1994, p. 66). MCP data were analyzed through MSA (Multidimensional Scalogram Analysis) and SSA (Singular Spectrum Analysis) methods associated with the Facet Theory (BILSKY, 2003). The discourses of MCP discussing groups at the moment of explanations were studied by Content Analysis as it was proposed by Bardin (1977) and Franco (2005). Indicative of an approach to the relations with knowledge (CHARLOT, 2000), the connections which aroused from the analyses showed that the group of future majors in Physics thought that this scientific field was based on a rationalist conception, influencing the idealization sense of the phenomena to be explained by Physics. Thus, Physics as school content started to require the student of the fundamental and high school to think abstractly as a cognitive skill of learning. The identifying elements observed in the relations between SR about Physics and Teaching aroused from the antagonism between future majors and their teacher, as well as from the speculation between their fundamental and high school students and themselves, mainly when they had to face the act of teaching due to the obstacles imposed by the own educational system, and by the weakness of the initial preparation. The group of future majors in Chemistry, through its discourses, showed these relations when they conceived empiricist Chemistry and said that teaching was the way of transmission of this knowledge, and didactics of Chemistry teaching was the direction to learning through pedagogic methods in order to lead the students to discoveries. The psychosocial contents which were built and showed from the symbolic relations in the studied SR achieved the relation of identity. This relation revealed identifying elements for these people, resulting from the traffic between their condition as students of Chemistry, and as teachers regarding their work, what placed the current relational contents in the teaching space, named as Knowledge changing and Adaptability . In order to study emerging questions in the discussing environment about formation and teaching professionalization, we focused the psychosocial view on this traffic and managed to observe epistemological practical and pedagogic obstacles that limited a configuration of the teaching work as a professional activity, especially from the particular conditions which led the relations of senses to Physics , Chemistry and Teaching ; and Chemistry and Physics as it was seen in this research. Generally speaking, we noted that these obstacles can denounce such obstacles concerning to the pedagogic doings which mainly impair the learning process of fundamental and high school students

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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

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The dissertation is developed in the Research Base of Teacher Training and Professionalization of Universidade Federal do Rio Grande do Norte as a way to discuss the professionalization of High School teachers in Natal. It is a study linked to the research The context of teaching practice and professionalism: the case of high school teachers and sponsored by CNPq, with the objective of characterizing working conditions and job satisfaction as dimensions to the teacher professionalism in high schools. In this study we prioritized the focus on professionalization in national and international discussions, which combines the aspects of teaching in its historical, social, political and economical path, in order to reflect about its evolutional elements in the hierarchy of professions and establish a relation to high school teaching. To develop this relation we elaborated some questions that are considered relevant, such as: How does the high school teacher evaluate his/her working conditions to his/her professional practice? What level of satisfaction does the high school teacher have regarding his/her professional practice? What expectations does the high school teacher have in relation to his/her professional development? The answers to those questions were according to the high school teachers considerations shown in the questionnaire, which was structured with open and closed questions. These questions gave better adequacy to the teachers evaluations about their working place and the situations they experience in their working conditions, provoking job satisfaction and expectations for professional growth. The description of the teachers perception about working conditions, job satisfaction and expectation of professional development can explain the distinct factors that characterize these categories in the working context, although the conclusive results, in general, do not show a direct relationship between the categories studied. Some factors that teachers attribute as causes of bigger difficulties in working conditions and work activity itself are: working time, salary, professional status, school s infrastructure, and school s social context. These factors are similarly related to the degree of job satisfaction, without showing interference in the professional expectations

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The work in screen constitutes a study of entitled doutoramento THE teacher and your linguistic formation: a dialogue teoria-prática. In him, the researcher, discoursing on subjects that involve the teaching-learning of the verbal language, it focalizes the importance of the linguistic formation for professionals that act in the years you begin of the Fundamental Education. In that perspective, lens to analyze the interrelações among them you know about the teachers, referring to the language (verbal), mobilized in the process teaching-learning of the production of texts written by the students, enrolled in the years you begin of the fundamental teaching. For so much, it developed a research Colaborativa, of qualitative nature, with four partícipes, being three of them teachers of the empiric field, EETB (pointed school for the " Prova Brasil " (2005) as among the ten Brazilian schools with the worst index of revenue discente in the abilities to read, to write and to interpret) and the other (researcher) educational of UERN. The research made use of several methodological procedures, among which stand out: questionnaire, glimpses, reflexive sessions and cycles of reflexive studies, among others. These specific of the Methodology of the Elaboration Conceptual Ferreiriana, adopted in the process of (re)elaboration, for the partícipes of the language concepts, text, textual gender, spoken language and written language. With relationship to the analytic procedures, those were based in contributions of the theory of the formation of concepts, of the Applied Linguistics and of the archaeology of the elect concepts. The results appear that the process of linguistic formation, established through the research colaborativa and of the methodology of the elaboration conceptual ferreiriana, uniting knowledge of the areas of the Education and of the Language, it was productive and he/she reveals a narrow relationship among the acquired knowledge for the partícipes, the (re)organization of the process teachinglearning of the language and the improvement of the productions written by the students of those educational ones

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El trabajo titulado La Política de Formación Continua de Profesores de Enseñanza Media en RN: límites y posibilidades tiene como objetivo analizar la política de formación continua de profesores de Enseñanza Media implantada en Río Grande del Norte. Parte del supuesto de que las directrices de formación continuada se articulan conforme a los organismos internacionales que desde la década de 1990 extendieron por América Latina un modelo homogéneo de formación, que tiene como principales características la de constituir un servicio a través de la modalidad a distancia y teniendo a la escuela como principal locus. En Brasil, estas características se apoyan en la Ley de Directrices y Bases de Educación Nacional nº. 9.394/96. Este trabajo es parte de un estudio que se desarrolla desde 2004 por la base de investigación Políticas y Gestión de Educación llamada Factores que influyen en la productividad de la Escuela Media: un estudio en Río Grande del Norte. El estudio en cuestión se centra en la dimensión pedagógica de la referida investigación y analiza la política de formación continua del personal docente, y considera como dimensiones de análisis la formación continua promovida en el ámbito escolar, ofrecida por la SECD/RN en el marco de la autoformación. Para la realización del estudio se hizo una búsqueda bibliográfica y documental que permitió la comprensión del objeto de estudio. La investigación empírica se realizó mediante la aplicación de cuestionarios, con preguntas abiertas y cerradas, a los maestros de Enseñanza Media de RN, y a través de entrevistas, semi-estructuradas de naturaleza complementaria, a las coordinadoras estatales de programas dirigidos a la Enseñanza Media. El análisis de los datos obtenidos muestra que no hay en SECD/RN una programación específica para la formación continua de los docentes de ese nivel educativo. Los programas implantados son de carácter nacional, de índole focalizada y no prestan atención a la mayoría de los docentes. La formación continua desarrollada en el âmbito escolar es prácticamente inexistente, y se limita a reuniones y algunos seminarios, sin mucha repercusión en la práctica docente. En cuanto a la autoformación son pocos los profesores que tratan de mejorar su práctica pedagógica con cursos de capacitación. Por lo tanto, se percibe una laguna en la formación de esos profesores y la necesidad de implementar acciones generales de formación continua que favorezcan una mayor y mejor articulación entre la formación inicial y continua, entre la teoría y la práctica, desde una perspectiva transformadora, en el sentido de superar modelos tradicionales de formación que no han tenido repercusión en la práctica docente

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Esta tesis (desarrollada en la Base de Pesquisa, Formação e Profissionalização Docente da UFRN) concentra su ámbito de interés en el problema de la formación, de la profesionalización del pensamiento del profesor, buscando investigar las Teorías Implícitas de los estudiantes del Curso de Pedagogía sobre la docencia en los años iniciales de la Enseñanza Fundamental. La emergente necesidad de términos acceso a las Teorías Implícitas de estudiantes de Pedagogía (futuros profesores) sobre la docencia en los años iniciales de la Enseñanza Fundamental, a través de un instrumento de pesquisa que posibilite su aplicación en varios contextos formativos para contribuir con su proceso de profesionalización docente, constituye el problema analizado. La pesquisa tiene como objetivo elaborar un instrumento investigativo para estudiar las Teorías Implícitas de los profesores sobre la docencia en los años iniciales de la Enseñaza Fundamental. La complejidad del estudio nos ha llevado a integrar diferentes procedimientos metodológicos, según orientación del paradigma sociocultural, tales como: estudios exploratorios, a través de la revisión bibliográfica de la literatura especializada y técnica de trabajo creativo en grupo; técnicas normativas y psicométricas. A través de los estudios exploratorios identificamos y configuramos tres teorías profesionales de la docencia en los años iniciales de la Enseñanza Fundamental, las cuales presentan una importante relación con el Estado: la docencia como actividad laica, la docencia como actividad técnica y la docencia como actividad profesional. Para la configuración de la teorías, definimos siete subdominios estructurales de la docencia: función docente, concepción de aluno, contenidos de enseñanza, gestión de aula de clase, proceso formativo, condiciones de trabajo y naturaleza del grupo profesional. El cuestionario normativo ha sido el instrumento orientado para investigar las representaciones de los estudiantes a nivel de conocimientos establecidos y reglamentados por la cultura, como condición básica para investigar sus Teorías Implícitas sobre a docencia. El estudio ha constatado que los subdominios determinados para la comprensión del objeto de estudio están presentes, de manera reincidente, en la literatura especializada como los son representativos en las identificaciones de los estudiantes investigados. Hemos concluido que las teorías configuradas para caracterizar la profesión docente en los años iniciales de la Enseñanza Fundamental hacen parte de la estructura de conocimientos de los estudiantes sobre la docencia, aunque los enunciados de las teorías, como actividad laica y como actividad técnica, no presente índice de tipicidad y de polaridad muy significativo cuanto aquellos relativos a la teoría de la docencia como actividad profesional. Las Teorías Implícitas de los estudiantes enseñan que ellos comparten elementos o rasgos de todas las teorías de la docencia, aunque se revelen más predispuestos a la docencia como actividad profesional. El estudio orienta la aplicación del cuestionario reglamentado a un grupo de profesores actuantes en el nivel de enseñanza en cuestión, para que averigüemos si los enunciados que hacen parte de la estructura de conocimientos de los profesores son los mismos que componen la estructura de conocimiento de los estudiantes, de modo a fortalecer la validación de nuestro instrumento de pesquisa

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This research is an interpretative analysis of the type participatory research, developed in a qualitative and quantitative use of the blog as a support to a specific discipline, in order to identify the potential evident from its use. The report discusses the changes that have occurred in contemporary society, relating to the development of information technologies and communication (ITC s), presents a brief review of the historical background of the Internet and its use as an aid to education, emphasizing some environments inserted media the Internet, focusing on the main blog - its concept, origin and categorization, and analyzes the concepts of using the blog from the dialogues with teachers and students of pedagogy course at the Federal University of Rio Grande do Norte. Started from the assumption that the use of technological resources, such as blogging, with strictly educational purposes, can extend the knowledge beyond the walls of the classroom, thus creating a dialogic and interactive environment. Using data collected through interviews, questionnaires and observation, we seek to understand the object of study as a supportive environment for the teaching of a subject, raising some theoretical and methodological questions about its application to educational practice, and possible contributions to the construction of knowledge. The results indicate that there are several capabilities that make the blog a space conducive to teaching and learning process, and relates the concepts of the study participants about their use, highlighting the most important places to be solved, so that teachers and students to take ownership of knowledge necessary for capacity building required by the contemporary social context, due to the advancement of science and technology.

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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

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Les connaissances de la tradition et position de la Science dehors pour un non-hiérarchique dialoguez qui frappe pour les distinguer mais ils sont undésavouer inséparable étant donné les compléments ils composent. Cet essai assume la possibilité de ce roi de dialogue dans un place spéciale: la classe. Sur ce qui vient au connaissance de la tradition, le centre remarquable est pour la construction de bateaux du travail manuel, una pratique culturellement déployé dans la ville d'Abaetetuba, dans le État de Pará, Brésil. En revanche, la Science est concentrée par le le contenu d'école a adopté dans l'Ensino Fundamental (École primaire). La construction du dialogue est faite en utilisant des activités de l'enseignement qui accentuez des aspects géométriques (solide, géométrique, angles et symétries) aussi bien que par information qui implique le tableau, poésie, histoire, géographie et physique - les deux inspiré dans le chiffre de bateau résumé dans un CD-ROM interactif. Les activités ont eu lieu dans D'Escola Ensino Pedro Teixeira Fondamental (Abaetetuba-Pa), avec étudiants du 6e niveau (plus spécifiquement avec un groupe de 13 étudiants) d'août à octobre2004. Ethnomathématiques et transdisciplinarité sont le support théorique sous-jacent du projet. Dans résumé, c'est possible pour dire que l'interaction entre Science et Tradition, à travers activités au-delà lesquelles vont le le contenu a restreint à mathématiques d'école, contribuées à,: identifiez le contenu a appris pas sur dans série antérieure; renouveler le rôle joué par école dans ses fonctions didactique pédagogiques; réduire le isolement entre information passée historique et les étudiants présent culturel; indiquer des obstacles à l'érudition des mathématiques intéresser aux aspects cognitifs et behavioristes; et provoquer un participation affective qui rôle principal à la qualité d'apprendre l'école contenu aussi bien que les connaissances de la tradition

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This study aimed to provide a continuing education towards raising teachers for reflection and effective sexual education within the school environment as a possible route of self-education and training of teachers of elementary school. More specifically aim to facilitate through the Continuing Education to discuss the knowledge of the body and knowledge of human sexuality, presenting them as core knowledge in the integral formation of individuals and promote discussion of a Human-centered education Teaching in a vocational training and human .In this sense, we dialogue with the human teaching preconized by Arroyo (2002, 2004) along with the humanization (hominization) of the individuals through education, under Freire´s perspective of the being more (2003) as well as his ideas, Pineau´s (2003) and Josso´s (2004) about the educational practice understanding as a way to build up the autonomy of the individuals who we intend to educate. We defend the inclusion of the body as an essential learning element according to the principles of corporeity presented by Assman (2001), whose comprehension is that every learning experience has a corporal inscription. Furthermore, the knowledge about human sexuality cannot be excluded from this process since the sexuality is inherent of individuals and is constructed and reconstructed during their existence. Our view of the world and of man is supported by the knowledge of the complexity (Morim, 2004) trying to surpass the mechanist view that sees them through the duality view, fragmenting them. For the discussion and construction of knowledge that search for the confluence of these knowledges about the being and the educational practice, aiming at the individual integral formation starting from the process of self-formation/self-knowledge, we´ve directed our research-action-formation having as compass the theoretical-methodological postulate of the research-action (Barbier, 2002; Morin, 2004; Thiollent, 2004) because it makes the participation of all the involved people in the process of resolution or surpassing of problem solving possible. We´ve used the continuing formation as a way of access for data collection, applying a questionnaire with open questions for the ones involved in the research. Based on the findings it´s been possible to infer that for the teaching formation it is necessary the inclusion of the Human sexuality and corporeity theme, so that the teacher can surpass the biological view of sexuality and also the expansion of the mechanist view of the body. To do so, we suggest that the teaching formation happens supported by the teaching capacitation and formation according to Maturana (2004), bringing teaching knowledges (Tardiff, 2002), which contribute effectively for the responsibility to educate people for life.

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The constitution of being a teacher of Portuguese occurs in a dynamic process involving various factors, such as the requirements of regulatory documents, the context of teacher formation, and the configuration of current society, per se. This study is aimed at reflecting on the initial formation of teachers of Portuguese and on official documents that face this formation, raising the following questions: (1) what does it mean to be a Portuguese teacher? (2) what is the vision of the subjects (teachers and students) involved with the formation of teaching the Portuguese Language? (3) how do these individuals deal with official documents? and (4) how do these subjects discourses relate? To understand the context of the formative processes and the knowledge inherent in them, first we take the studies of Garcia (1999) and Tardif (2002) as a theoretical framework, and to understand and interpret the utterances of the interviewees, we were grounded in the writing of Bakhtin (2003), for whom the object of the Humanities, the sciences of man, is the text, since man is, by nature, an expressive being. We situate this study in the framework of qualitative research. It is a multiple case study that focuses on two contexts: formation of teachers of Portuguese at the University of Minho, Portugal, and the Federal University of Rio Grande do Norte, Brazil. The data that make up the research corpus come from documents elaborated by the Ministries of Education of Portugal and Brazil and were adopted by the two teacher formation institutions cited, from individual interviews involving eight trainer teachers (four from each university), and from two group-interviews (one in each institution), done with students in training. Our analysis is divided into three stages: first, document analysis; second, analysis of the discourse of the teachers in both contexts studied; and, third, analysis of the speech of the students in training. It is noteworthy that our purpose in this research was not to come out with a definition like being a teacher of Portuguese is X, but we are interested, above all, in discussing the issues surrounding initial formation, seeking different points of view, and hearing voices coming from different social positions for better understanding our object of study. Our analysis reveals that the initial formation of teachers of Portuguese, both in Portugal and Brazil, occurs in a complex way, under the influence of various factors, including: (a) difficulties in having the individuals involved adapt to the demands of regulatory agencies; (b) students and teachers adequacy to the organizational model of the post-secondary institution; (c) teachers difficulties to deal with the learning problems of students who have limited schooling basis and come from distinct socioeconomic realities; (d) a search for the establishment of methodologies for teaching and learning the Portuguese Language more adequate to reality; and (e) a search for a definition of professional knowledge needed for the teaching practice

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

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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

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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