Ensino de Entropia: um enfoque histórico e epistemológico.

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

Ensino de matemática, história da matemática e artefatos: Possibilidade de interligar saberes em cursos de formação de professores da Educação Infantil e anos iniciais do Ensino Fundamental.

This work is located at the shield of research that defends the use of Mathematics History, based on the utilization of historical artifacts at teaching activities, at Mathematics classrooms, and at graduation courses for teachers of Elementary School and of the first grades of High School. The general objective is to examine the possibility of the use of historical artifacts, at teaching activities, at graduation courses for teachers of Elementary School and of the first grades of High School. Artifact, at this work, is comprehended as objects, documents, monuments, images and other kinds of materials that make sense to the Human actions at the past and that represent what have been said and done at the Human history. At the construction of the theoretical-methodological way of the research we have based ourselves upon the ideas of the authors that are engaged at the teachers formation; at researchers adherents to the use of Mathematics History (MH) as a methodological resource, and at studies accomplished that elucidate the role of the artifacts at the history and as a mediatory element of learning. We defend the thesis that the utilization of historical artifacts at teaching activities enables the increasing of the knowledge, the development of competencies and essential abilities to the teacher acting, as well as interact at different areas of the knowledge, that provides a conception of formation where the teacher improves his learning, learning-doing and learning-being. We have adopted a qualitative research approach with a theoretical and pratic study disposition about the elements that contribute to the teachers works at the classroom, emphasizing the role of the Mathematics history at the teacher s formation and as a pedagogical resource at the mathematics classroom; the knowledge, the competencies and abilities of the historical artifacts as an integrative link between the different areas of the knowledge. As result, we emphasize that the proposition of using the MH, through learning activities, at the course of teacher graduation is relevant, because it allows the investigation of ideas that originate the knowledge generated at every social context, considering the contribution of the social and cultural, political and economical aspects at this construction, making easy the dialog among the areas and inside of each one The historical artifact represents a research source that can be deciphered, comprehended, questioned, extracting from it information about knowledge of the past, trace and vestiges of the culture when it was created, consisting of a testimony of a period. These aspects grant to it consideration to be explored as a mediatory element of the learning. The artifacts incorporated at teaching activities of the graduation courses for teachers promote changes on the view about the Mathematics teaching, in view of to privilege the active participation of the student at the construction of his knowledge, at the reflection about the action that has been accomplished, promoting stimulus so the teachers can create their own artifacts, and offer, either, traces linking the Mathematics with others knowledge areas.

A (re)significação conceptual nas práticas colaborativas com professores do Ensino Fundamental

The work objectified to apprehend the degree of the teachers' concept concerning the territory concept and to intervene with situations of critical reflections to accompany and to analyze the process of conceptual elaboration. It contemplates on the (new)meaning of knowledge and (new)elaboration of the concept in study done inside a pedagogic intervention. The Municipal School Dr. Julio Senna - Ceará-Mirim/RN and six (6) teacher-collaborators that taught in the 3rd and 4th grades of the fundamental teaching, constitutes the empiric field of the research. Its theoretical-methodological contributions are built in the studies of Vigotski (2000a, 2000b and 2001) on the formation process and development of concepts; in the methodology colaborate (Ibiapina (2004), Bartomé (1986), Kemmis and Mctaggart (1988), Arnal, Del Ricon and Latorre (1992), Pepper and Ghedin (2002), among others) and in the critical-reflexive conception of the Geography (Soares Júnior (2000 and 1994), Silva (1998), Raffestin (1993), Santos (1994), Felipe (1998), among others). The accomplishment of the work presupposed starting from the reflections on the following subjects: which the teachers' understanding in the school space concerning the territory concept? How does happen the process of conceptual construction territory for the teachers? The analysis of the teachers' previous knowledge on the concept in study, evidenced that its apprehensions on the attributes of the referred concept went mentioned the to light of the perceptible dimension of the real-concrete relationships of the reality linked to the degree of the spontaneous concepts and followed by the ideas of the traditional, humanistic and cultural geographical conceptions (positivism and phenomenology), restricting the territory meaning the notion of State-Nation and place of the men's dwelling. In the intervention process, it was verified to real possibility of the acquisition of indispensable scientific concepts to the process of (new)meaning conceptual of geographical knowledge through the continuous practice of the educational formation, when it was evidenced that the teacher-collaborators acquired high degrees of attributions of the significance of the territory concept to the they elaborate generalizations by means of analyses and syntheses of the concept-attribute (essential and multiples) of the reference conceptual in study

Prototexto, narrativa poética da ciência: uma estratégia de construção do conhecimento e religação de saberes no ensino de física

In this thesis I present the prototexto notion and to I base as a complex system while strategy of knowledge construction and reconexion of you know in physics teaching. Prototexto is a poetic narrative of the science, proposal and used initially as "instrument of creative" learning for students apprentice of science of the medium and technical teaching of the Vitória da Conquista's CEFET-BA, in the period of 1997-2004. Later become pregnant as a strategy of knowledge construction, in the Universidade Estadual da Bahia - UESB, the prototexto notion configures a complement to the mathematical formulation. The proposal of a poetic narrative of the science is that the apprentice of science starts to organize in an aesthetic-literary way your knowledge, dispersed in disciplines, starting from a theme of the physics. The prototexto emerges of my reflections concerning the classic science, identified for Edgar Morin as tends a thought excessively numeric, and that it has been reproduced in physics teaching, in most of the schools, limiting him/it to an order pattern with the mistake absence. They are operations of the prototexto: the poetic language, the pedagogic stamp, the unfinished of the argument, the system character and the apprentice's of science inclusion as subject implicated in the construction of the knowledge. the theoretical foundations are based Morin's proposition of the method as strategy, the beginning of the complementarity of Niels Bohr in conceiving excluding categories as face of a same phenomenon and the conception of creative time of Ilya Prigogine that enunciates the alliance among the nature and the man that it describes her

O conceito de morte: significações de professoras dos anos iniciais do ensino fundamental

Cette étude appartient à l un des principaux défis de l éducation dans l actualité qui est la production de connaissances concernant la mort comme objet d investigation théorique et empirique dans le domaine éducationnel. Des recherches récentes signalent le besoin d une éducation contemplant des études sur la mort et montrent l école tel qu un lieu de débats et reflexions à propos de ce thème. Cette reflexion est relevante et fondamentale, étant donné que la mort fait partie du cycle de la vie et se trouve présente dans les contenus scolaires des différents domaines de la connaissance. Ce travail a, donc, l objectif d analyser les signification attribués à ce concept mort et la relation qui s établit entre eux et la pratique des professeurs de l enseignement fondamental. Il adopte en tant que référentiel les principes de la recherche qualitative du type étnographique (André, Chizzotti et Meksenas), dans une approche socio-historique et en ce qui concerne la formation et le développement des concepts (Vygotsky, Kopnin, Guetamanova et Ferreira). La participation des professeurs a été faite par l observation participante, registres en cahier de bord et application d un instrument de construction de données pour l appréhension des significations attribués aux concepts qui sont à la base de la pratique de cinq enseignantes des premières séries de l Enseignement Fondamental d une école publique du réseau d enseignement de l État du Rio Grande do Norte située dans la Zone Sud de Natal. De ce fait, les analyses et les interprétations des observations de la pratique dans la salle de classe et des réponses aux quinze questions liées au thème ont permis de construire les significations des concepts qui appuient les pratiques enseignantes de ces professeurs, tout en mettant en relief la fragmentation et la désarticulation entre les expressions décrites dans les questionnaires et les pratiques développées en salle de clase. Ces reflexions mettent en évidence la nécessité de re-penser l articulation entre l énnoncé et la pratique des professeurs à propos de cette thématique au cours d une formation initiale et continue

Professoras e projetos: concepções e práticas no ensino fundamental

The discussion we have established in this study is about how the practice is developing educational projects based on work with because the methodological choice of the teacher. The study of an ethnographic qualitative approach was conducted with a group of six teachers in two public schools in School Administrative Zone north of the city of Natal / RN. Data were constructed from semi-structured, reinforced by the direct observation of the practice of teaching of teachers. The goals outlined were to identify the reasons why the option for the project, listing the benchmarks that subsidized their construction, the observation of everyday experience in educational planning and development of projects developed. In the light of information we can notice a complex and even contradictory, which is confusing the concepts and practices are weakened. The analysis revealed inconsistencies between theory and practice in working with projects, the fruit of little theoretical development of teachers. The adoption of the project as a methodological option has meant a change in direction of the effective action didactic. Reflects on this situation, it was concluded that there is a need to broaden the understanding of the significance of this type of work, covering the different dimensions that involve the practice of research, research and training of teachers. Even preventing the intentions and initiatives of the teachers, it must be emphasized is the process of learning within an approach that focuses the process of learning in multiple dimensions, inter-relational, both the capabilities of students in the areas of knowledge.

Educação ambiental: mediações sociais e políticas e a indolência do Poder Público à sua inclusão no ensino formal

As a result of the prediction of irreversible changes on necessary conditions to maintain life, including human, on the planet, environmental education got the spotlight in the political scenario, due to social pressure for the development of individual and collective values, knowledge, skills, attitudes and competences towards environmental preservation. In Brazil, only in 1999 the right for environmental education was officially granted to people, having the status of essential and permanent component in the country s education. Since then, it has been Government s duty, in each federal branch, to plan actions to make it happen, in an articulate way in all levels and modalities of the education process, both formally and informally. This work of research has environmental education in the school as subject matter, and aims on analyzing social and political mediations established between this National Environmental Education policy and the contexts associated to the legislative production process, the political nature of the conceptions about environmental education that underlie Law 9.795/99 (Brazil, 2009c) and also Rio Grande do Norte Government s actions and omissions related to the imperative nature of the insertion of environmental education in the schools ran by the state, during the ten years this law has been in force. The investigation of the subject matter was led by a social and historical understanding of the social and environmental phenomena, as well as of the education system as a whole, considering that only through a dialectical view we can see the real world, by destroying the pseudo-concreteness that surrounds the topic. While analyzing, we assumed that in face of the dominance of a social organization in which market regulations rule on environmental ones, by developing individual and collective critical conscience, environmental education can become a threat to dominant economical interests in exploiting natural resources. The results of this research suggest that as an educational practice to be developed in an integrated, continuous and permanent fashion in all levels and modalities of formal education, environmental education has not yet come to pass in the state of Rio Grande do Norte, due to the neglect and disrespect of the government when facing the need of promoting the necessary and legally appointed measures to make it present in the basic education provided by the state. The legislators silence when it comes to approving a regulation on environmental education essential to define policies, rules and criteria to teaching the subject in the state and the omission from the public administration regarding critical actions in order to integrate in public schools the activities related to the National Environmental Education Policy, represent a political decision for not doing anything, despite the legal demand for an active position. This neglecting attitude for the actualizing of strategically concrete actions, urgent and properly planned for the implementation of environmental education in schools in a multidisciplinary way, exposes the lack of interest the predominant classes have in such kind of education being made available, as it could be developed based on a critic political view, becoming a political and educational action against dominance. When analyzing the basic principles and fundamental goals in Law 9.795/99 (Brazil, 2009c) the development of a critic environmental education is really possible and concurs with the National Environmental Education Policy, reflecting the social and political mediations established between this public policy and the contexts associated to its legislative production process, which are responsible for approving a regulation which also represents the mind of the people about environmental protection above anything else

Representações sociais de formação continuada: com a palavra as professoras do ensino fundamental da rede pública de Natal RN

Metaphorically, research is presented as a journey by sea, having as object of study the social representations of Continuing Education for teachers of elementary school and as aim, to analyze them in comparison of participants from state and municipal systems, located in Natal-RN, Brazil .They have contributed to the achievement of this objective the voices of 158 teachers, the vast literature on training in professional development and the theoretical formulations proposed by Moscovici and colleagues, with relevance to the Central Nucleus Theory advocated by Abric. The corpus resulting from evocations about continuing education, as well as teachers' justifications were submitted to different computer methods/techniques, through the EVOC ALCESTE Programs, respectively, providing the opportunity to highlight a network of interconnections between the likely core and the production of discourse. Although the educational ideologies that underlie social perception of the state teachers are anchored in New School and technicist concepts and the teachers in the city tend to an ideology of social interaction, the choice of working with the symbolic field identified the political-social commitment of groups with the impacts of training on learning of their students

Globos e mapas ao alcance das mãos : ensino de matemática numa perspectiva de alfabetização funcional na EJA

The following dissertation has as its main advantage the privilege of visualizing the literacy processes through the angle of the functional perspective, which does not see the literary process as a practice solely based on the decoding of alphabetical codes, and then allows for the opening of ample spaces for the allocation of mathematical skills in the realms of the functional literacy. The main object of this study was to investigate which are the contributions that a sequence of activities and of methodologies developed for the teaching of Geometry could provide for a part of the functional literacy process in mathematics of youngsters and adults of EJA, corresponding to the acquisition or to the improvement of skills related to the orientation capacity. The focus of the analyses consisted in the practice of these activities with the young and adult students of an EJA class belonging to a municipal public school of Natal/RN. The legacies of Paulo Freire about the redimensioning of the role of the teacher, of the students, of the knowledge and of their connections within the teaching-learning process, prevailed in the actions of the methodology implemented in the classroom and, especially, in the establishing of dialogic connections with the students, which directed all the observations and analyses regarding the collected information. The results indicated that the composition of articulations between the teaching of mathematics and the exploration of maps and the earth globe enabled the creation of multidisciplinary learning environments and situations, where we could observe, gradually, the development of procedures and attitudes indicating the evolution of space-visual type skills

Reflexões sobre a construção e evolução de conceitos geométricos nas séries intermediárias do ensino fundamental

This thesis represents a didactic research linked to the Post-graduation Programme in Education of the Universidade Federal do Rio Grande do Norte which aimed to approach the construction of the geometrical concepts of Volume of the Rectangular Parallelepiped, Area and Perimeter of the Rectangle adding a study of the Area of the Circle. The research was developed along with students from the 6th level of the Elementary School, in a public school in Natal/RN. The pedagogical intervention was made up of three moments: application of a diagnostic evaluation, instrument that enabled the creation of the teaching module by showing the level of the geometry knowledge of the students; introduction of a Teaching Module by Activities aiming to propose a reflexive didactic routing directed to the conceptual construction because we believed that such an approach would favor the consolidation of the learning process by becoming significant to the apprentice, and the accomplishment of a Final Evaluation through which we established a comparison of the results obtained before and after the teaching intervention. The data gathered were analyzed qualitatively by means of a study of understanding categories of mathematical concepts, in addition to using descriptive statistics under the quantitative aspect. Based on the theory of Richard Skemp, about categorization of mathematical knowledge, in the levels of Relational and Instrumental Understanding were achieved in contextual situations and varied proportions, thus enabling a contribution in the learning of the geometrical concepts studied along with the students who took part in the research. We believe that this work may contribute with reflections about the learning processes, a concern which remained during all the stages of the research, and also that the technical competence along with the knowledge about the constructivist theory will condition the implementation of a new dynamics to the teaching and learning processes. We hope that the present research work may add some contribution to the teaching practice in the context of the teaching of Mathematics for the intermediate levels of the Elementary School

Dificuldade de berço? Professores de matemática no ensino médio: práticas, formação continuada e juventude

The present paper is focused on pedagogical practices and continued lecturing formation of High School Mathematic teachers. Knowing the essential importance of the teacher at the educational process since he/she is the mediator on knowledge gathering by the scholars and continued formation meaning on that process, we hereby propose to investigate and compare what Math teachers think about their professional role, the kind of continued formation they receive and their development on teacher s knowledge and doing; to gather and compare what do Math teachers know about young people at public and private schools and their demands and as which find out if they link with the way as their students are taught. To develop our comparative research, we chose a qualitative focus and an investigation of ethnographic type. We took as the subject four Math teachers that work with high school 1st and 2nd grades in public and private schools, morning and afternoon shifts and license titles. The research results reveal differences in structural matter between the spaces, but the comparisons between teacher doings and knowledge reveal that the differences refer to the sort of formation and how often do the teachers search for it. Nevertheless, the reports pointed to continued lecturing formation offering and consistence problems and these reflect on their work and on its basis. The knowledge about youth and adolescence, such as theoric and methodological knowledge that lead their practices, are revealers of teachers difficulties in developing their activities according to the target public and nowadays educational demands

O ensino da história e o pensamento reflexivo-crítico da professora no 3º ano do Ensino Fundamental

This collaborative research is a qualitative approach, from historical and cultural perspective, made about a teacher of third grade of basic education in the area of history, in the municipality of Caicó / RN. It has as objective to investigate, in a collaborative action, if the design process of teaching and learning the discipline of history based on the relationship before / after allows the development of critical reflective thinking of the teacher in school practices. The theoretical and methodological approaches are supported in the postulates of Vygotsky (1998), Rubinstein (1973) and Linblinskaia (1979), among others, whose understanding has led us to reflect if the teacher develops the reflective critical-thinking in history discipline classes. The complexity of the study led us to an analysis exercise, using different methodological procedures, such as: bibliographic review of the literature, considering also the literature of the history area, interviews, observation in the classroom, video recordings and reflective sessions, enabling clarify the construction and reconstruction of thought that the teacher had been developing during the process of teaching and learning. The test results point to a dichotomy between theory and practice, and also to a certain fragility in the position of professor in teaching and learning the discipline of history, at the third grade of basic education. The teacher recognizes that she requires a theoretical deepening with more intensity, as a process of continuous training to improve the practice of teaching in history school, though, stating in her speech that her teaching practice is based on critical reflection. However, she presents serious limitations in classroom practices. We conclude that, although she has shown willing to work on a critical perspective of reality, showed also poor change at school practices, starting to reflect about her own actions, pointing her limits and the changes needed that didn t become reality yet. It s necessary a formative process for her. The study therefore showed that even with the sessions and reflective of deepening theoretical studies, the teacher does not change its profile, while maintaining its traditional vision in any pedagogical action. This research recommends the formation of school groups for further studies and discussion on the practices of education in history area from a reflective-critical thought perspective as a mean of personal and professional development

O ensino de filosofia no ensino médio mediado pela literatura sartriana

On analyse une expérience de l enseignement de philosophie dans l enseignement secondaire par la littérature. La scène d intervention a été l Institut Fédéral d Éducation, Science et Technologie du Rio Grande do Norte (IFRN), dans l année 2008. L étude à caractère qualitatif a adopté un modèle de recherche participant, dans laquelle le chercheur a intervenu dans son propre contexte de classe. On a utilisé l investigation d un ouvrage existentialiste de Jean-Paul Sartre, le roman La Nausée, comme contribution méthodologique pour l enseignement de philosophie. On a adopté le recours de la littérature avec contenu philosophique à partir de la proposition apportée para les Paramètres Curriculaires Nationaux pour l Enseignement Secondaire (PCNEM) : celle qu on ne doit ni avoir la prétention de former de philosophes professionnels ni banaliser la philosophie auprès des élèves. En partant du principe que l existentialisme a été un courant philosophique qui a utilisé la littérature entant qu expression d idées philosophiques, on a envisagé le potentiel pédagogique du voisinage communicant entre la philosophie et la littérature que lie l expérience littéraire avec les textes qui montrent aussi la discussion philosophique. L idée force a été celle de traiter concepts philosophiques a partir de la littérature comme invitation à la réflexion, en analysant l élément ludique dans la littérature comme jeu de la pensée. La pensée considérée comme action ludique arriverait parmi l idéal d en chercher de meilleures manières à comprendre la réalité en étant cet idéal esthétique assumé dans l effort d imprimer sens au chaos des expériences. Les situations pédagogiques en classe comptent fréquemment avec moment de dialogue a propos des problèmes existentiels affrontés par le protagoniste du roman, Antoine Roquentin, considérés comme questions philosophiques et débattues par l investigation dialogique tout suite après la lecture des parties du livre. Dans ce sens, on a cherché à suivre les marches de la méthode socratique dans lequel questionner e questionner à soi même soient les moles propulseurs de la réflexion philosophique. L investigation dialogique a été étendue pendant cinq rencontres de quatre-vingt-dix minutes interprétés par une analyse discursive qui a essayé d établir des rapports entre le discours de l enseignant et des élèves avec le discours de la tradition philosophique. Cette recherche a aussi envisagé à produire une réflexion sur la pratique de l auteur lui-même de l étude. Celui-ci peut-être soit l objectif le plus largement atteint : prendre conscience de l importance de la formation d un enseignant réflexif qui associe dans sa praxis le savoir faire avec la critique honnête de sa propre capacité professionnel

Relações entre teorias da história e ensino de história: a compreensão de professores

This thesis has as an objective to think over the teachers` understanding of the school History of the Fundamental Teaching regarding the existent relations between the history theories and the teaching of the school History, as well as to think over how these teachers see the influence that their teaching practice gets from the history theories. The work is based on the postulates of the qualitative research and on the characteristics of the ethnography of the school practice. The main procedures of data gathering were the documental analysis, the semi-structured interviews, the field diary and the observations of classes. The scientific perspective of the multiple references is an important source in this research. The participants of this work are two teachers of the school district of Natal who work in the field of the school History in two schools on the North Side of the city. The accomplished analysis point to significant indications that didn't occur continuous and regular teaching situations in the initial and continuing education of these teachers that clearly showed the relations between the history theories and the teaching of the school History. They also suggest that their understanding about the influence that their teaching practice gets from the history theories, is not still explicit. We understand that the relations between the history theories and the teaching of the school History are important for the initial and continuing education of these teachers who belong in this knowledge field, even when these relations are not explicitly pointed by the teachers, because they will always influence the teaching practice that the teachers of the school History build

Políticas de educação profissional técnica e de ensino médio no Brasil: a implementação no CEFET-RN (1998 2008)

This study has analyzed the high school and professional education policies (1998-2008) and their impacts on the Centro Federal de Educação Tecnológica do Rio Grande do Norte. It has presented an analysis and design of the productive restructuring process in the world of work and education, the technical, vocational education and high school policies in Brazil, referring to this period, as well as the changes in Cefet-RN for implementation of Political Guidelines of Vocational, Technical and High School Education. This study is guided by assumptions related to these policies, which are located in different historical moments. It is a study in which subjects are understood as historical and social beings, embedded in the economic, political and cultural rights which, by its actions, can be transformed. It was based on a theoretical framework consistent with the object of research to give it shape and meaning, serving as a parameter to address the problem outlined in research questions. It was used analysis of bibliographical material and specific documents from the Institution, semi-structured interviews with the subjects part of technical and high school. Results show that many of the recommendations in the present high school policies and vocational technical and high school education, implemented in Cefet-RN, for the period 1998-2002, show inconsistencies between what is said and what can be officially established in the pedagogical practice of teachers and professional practice of some graduates. Regarding the integration of vocational education with the high school (2005-2008) in this Institution, the study signaled that its prioritization failed to materialize in full, in Cefet-RN, although it was developed and implemented a Political-Pedagogical Project in 2005