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.

O livro didático de história: um caleidoscópio de escolhas e usos no cotidiano escolar (Ceará, 2007 2009)

In the first decade of the XXI century, it is possible to assert that school textbook is part of the material culture of most public Brazilian schools by means of National School Textbook Program (PNLD). This research aimed at identifying and analyzing textbooks choice in Ceara, relating it to the uses of such tool within school daily life. The setting for the study was four public schools, two of them placed in Fortaleza, and the other in Quixada. It evaluated the uses of textbooks in the 6th grade. As part of methodology, public managers were interviewed, teachers answered surveys, and a direct observation during History classes in 2008 school year was carried out. The observation was over after round chats with students in the class, in which each one designed draws and sentences concerning to the textbook. Furthermore, the study was based on MEC official documents that regulate the textbook choice process with National textbook Program announcement (PNDL/2008) and PNDL/2008 Textbook Guide, in addition to History textbooks schools used. Roger Chartier‟s concept of appropriation was an analysis category, as well as Michael de Certeau s strategy and tatics‟, and Dominique Julia‟s concept of school culture . The study recognizes textbook in the perspective of Alain Choppin and Egil Borre Johnsen, since it is a complex cultural object. For this reason, the study designs an analogy with a kaleidoscope that sends different images depending on who uses it, within a set of colorful lines, since textbook comprehends nowadays different sources and languages, as it offers countless possibilities of use in teaching History. The study concludes that only the main text of each chapter is really worked in daily class practice. Therefore, although theoretical and graphic changes in textbook production, the textbook is underused, which is central to a later rethought of teachers instruction, since, depending on the conception of teaching and learning, textbook potentialities will be used to improve the development of knowledge in History.

Alfabetização de Jovens e Adultos: desvendando práticas, construindo possibilidades

O compromisso dessa pesquisa volta-se para a compreensão das práticas pedagógicas desenvolvidas na alfabetização de jovens e adultos, bem como se propõe a construir caminhos na busca de práticas que levem em conta as especificidades dos alunos dessa modalidade de ensino. Os aportes teóricos que nos guiaram nessa busca foram os estudos acerca de alfabetização na perspectiva do letramento, nos quais a escrita é vista como um sistema de representação, dessa forma o processo de alfabetização tem como objetivo a apropriação da escrita em toda sua complexidade e usos sociais. Para o desenvolvimento desta pesquisa o direcionamento metodológico assume as premissas da pesquisa qualitativa do tipo etnográfico a fim de possibilitar o conhecimento da realidade a partir da sua vivência cotidiana. Nesse sentido, foram observadas as atividades desenvolvidas pelos partícipes da pesquisa e também realizadas entrevistas e questionários com o objetivo de um melhor conhecimento a respeito da realidade que os cerca. Tendo em vista as características de nossa pesquisa e a construção de nossos dados através de registros oriundos de observações e também registros verbais, encontramos na teoria da análise de conteúdo, mais especificamente na análise temática a fundamentação necessária para realizarmos nossas análises. Os dados construídos e analisados nos apontam caminhos pelos quais torna-se possível realizarmos um trabalho de alfabetização que possa efetivamente contribuir na construção do conhecimento pelo aluno jovem e adulto, respeitando suas especificidades e anseios

Uma ação reflexiva sobre o processo de (re)escrita de textos: a prática pedagógica da professora Maria

T he reflexive action on the process of texts (re)writing, central topic of this study, is still a challenge within the elementary school. What made this issue a special theme of study was the fact that the chosen focus is based on a lived experiences with (re) writing activities where the uniqueness of the professional practice would be transformed into a place of knowledge production, offering theoretical and a practical support to a teacher, in order to understand the interactive nature of language as a space for recovery of the individual (as a historical, social, and cultural being). The empirical field research, structured in the light of assumptions of qualitative research into the action research format, was a public school in Bahia, in a third grade classroom. The instruments of data collection were open questionnaire, semistructured interviews, observations with video recording, documentary analysis of texts produced by students, and reflective sessions. The objectives that supported the research study were: 1) Investigate, in the pedagogical action of teacher Maria, activities on the writing process, 2) Interact with the teacher, in the form of action inquiry to: a) reflect on the procedures for theoretical and methodological development of reflective practice on the process of the (re) writing of the text, b) intervene in the construction of didactic situations that enable the learning and the development of reflexive actions in the (re) writing of texts. To accomplish these goals, it was established as a commitment a dialogic communication with the protagonist, providing reflection sessions so she could examine her teaching practices. The most relevant theoretical arguments to the establishment of this research came from the theoretical and methodological approaches of Bakhtin s theory of enunciation-discourse (2003, 2004) and Vygotsky s socio-interactionist theory (1989, 1998), as it is believed that both theories, through a paradigm shift, in which the constitution of the individual and the participation of others in the actions of analysis and reflection on the language, would give opportunities for internalization and construction of knowledge. The systematic and critical pondering led the participating teacher into reviewing her teaching praxis, compelling her to promote a more insightful understanding of the writing process of her students. That experirence brought into evidence three categories of actions: 1) actions that reflect the technical rationalism, 2) actions that reflect an emancipatory metamorphosis, and 3) actions that reflect empowerment and awareness. The results confirm that the action / reflection on the process of the (re) writing of a text has a dimension of increasing levels of awareness and self criticism, reproducing other meanings for teaching praxis

A Internet como tecnointeração da aprendizagem: valorização da cultura e identidade juvenil

The present study investigates Internet as technological interaction in the school environment as a resource of the teaching-learning process. It aims to discuss the lack of synchronicity between proposals of educational access for Internet use and types of access and interaction applied by youngsters. For the development of this research, I resorted to a qualitative, descriptive and explanatory research focused on a group whose subjects are youngsters from eleven to fifteen years of age in a catholic school which belongs to a group of private teaching schools in Natal city, Rio Grande do Norte state. As methodological option it focus on a group and the observation of its participation, discourse analysis and ethnography, considering facts and data of the pedagogical practice concerning the focused theme, besides the attempt to know the youngsters everyday at school and the relationship between them and juvenile cultures. It recognizes the existence of two moments of the focused group: the first related to internet use like technological interaction; the second concerns to the way Internet is problematic as technological interaction in classroom learning. While contacting with youngsters, the study discusses the concepts of Media Environments, Culture, Identity, Network, Consumption and Citizenship. It recognizes that it is relevant for the school to consider Internet a pedagogical tool, directed not just at research, but mostly as learning environment and as learning construction in a collaborative way. It points out the need of approach between school and media environment, reevaluating the pedagogical practice, offering a new evaluation proposal (self-evaluation). It suggests a renewal in the teacher's pedagogical practice in the classroom and using Internet, valuing the connection between technological interaction and communication as motivation elements of student s learning construction and their effective participation in decisions involving citizenship. It gives priority to educational work directed at the establishment of dialogic relationship between codes, learning and contents, leading to the new findings domain in the media environment, enabling the development of abilities and performances directed at the recognition and consumption of information from a critical reading of the media

Potencialidades do uso do blog em educação.

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.

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

Educação do campo e alternância :reflexões sobre uma experiência na Transamazônica/Pará

The study theme is the Rural Familiar House Program (RFHP), through the Rural Familiar House of Uruará-PA city (URFH), from 2000 to 2005. It is considered as base the education offered to the field young people, in the modality of basic education by alternation methodology between the Familiar and School Times in the two first from 5th to 8th grade classrooms. From the argument about the understanding importance and need of knowledge transmission and construction to be established in the inter-section between general references of the social reality and the subjective ones. It constitutes an educative work that both values domain of knowing and the creative capacity of each pupil. Considering that the greatest aim of the education is the human being emancipation, this thematic for the development of the documentary and field research was defined with the delimitated thematic for the educative practice-proposal in alternation, choosing the Program of the RFHs as the reference to carry out an analysis which considered fruitful in the articulation between education and educative work. This study had the objective to contribute for the debate concerning the alternation and to understand presuposals and educative practice of the RFHs what its importance for the young people and its relation with the field educational policy. For this, it was used, mainly, from analytical references of authors, such as Williams, Gramsci, Adorno, Freire, Shiva, Soares, Molina, Tonet, et. all, all were also important for the construction of this work. The studied documentary sources, as well as the verbal ones the actors also interviewed had allowed, in irreplaceable way and significantly, a critical analysis on the pedagogical proposals and the articulation among school, familiar work and education, which was carried out in the formation of URFH, the sessions of alternation between Time School and Time Family. The results are scored with the chapter construction, as they had presented themselves in several sources and the reading which was made. A reading that signals for the affirmation which is possible to overtake the emphasis on technicality, mediated in the practice-theory-practice relation, still present in the alternation, and, thus, to be able to make an educative work that intends to contribute for the young people education with capacity of being, thinking and to act actually as subjects of their history

DERSU UZALA Hibridação Homem-Natureza

Esta disertación explora de qué forma las hibridaciones entre ser humano y ambientes naturales no urbanos contribuyen a configurar las estrategias de atención, de construcción de conocimiento y de interacción con el mundo del sujeto y cómo, recursivamente, las actitudes perceptivo-cognitivas y las maneras de acercarse a lo real, de imputar sentido a los fenómenos y de interactuar con el ambiente practicadas por el sujeto condicionan y contribuyen a definir las hibridaciones entre humanos y no humanos. Lo que guía esa exploración es el concepto de híbrido que, inspirándome en Bruno Latour (2008), concibo como una asociación entre elementos sin características inherentes, compenetrados, que se redefinen, recrean e reconfiguran recíprocamente. Utilizo como operadores cognitivos una narrativa literaria y una cinematográfica: el libro autobiográfico Dersu Uzala del escritor y explorador ruso Vladimir Klavdievich Arseniev (1872-1930), publicado por primera vez en 1923, y la película homónima del director japonés Akira Kurosawa (1910-1998), lanzada en 1975. Estas obras reconstruyen tres expediciones realizadas por Arseniev a principios del siglo XX en la región siberiana del Ussuri que tuvieron como guía al cazador nómada de etnia gold Dersu Uzala, con quien el escritor construyó una profunda amistad. La elección de hacer dialogar en el mismo plan a dos modos complementares de conocimiento, arte y ciencia, se fundamenta en la concepción de Edgar Morin (2003b) de la literatura y el cine como escuelas de vida y de complejidad humana y en la visión de Claude Lévi- Strauss (2007) del arte como modelo reducido que favorece una mirada más abarcadora sobre los fenómenos. Inicialmente, pongo en relación mi investigación con los trabajos de Silmara Lídia Marton (2008) y Samir Cristino de Souza (2009), que analizaron las estrategias de construcción de conocimiento y de interacción con el mundo de un habitante de la Laguna de Piató (Municipio de Assú, Estado de Rio Grande do Norte, Brasil), Francisco Lucas da Silva, y muestro algunas analogías entre estas y las de Dersu Uzala, ambas productos de determinadas hibridaciones con el ambiente. A continuación, exploro las implicaciones cognitivas de la amistad de Arseniev con el cazador gold, metáfora/encarnación del diálogo posible entre saberes de matrices diferentes. En un tercer momento, dialogando con pensadores que se interrogaron sobre el trinomio hombre-naturaleza-representaciones y con las narrativas de Arseniev (1997) y Kurosawa (1975), reflexiono sobre las ideas de híbrido, de humano y no humano, de vivo y no vivo, de proximidad y distancia del sujeto con respecto a otros sistemas de lectura del mundo, de relación directa y mediada con lo real, de ambientes naturales urbanos y no urbanos. A seguir, incursiono en el libro de Arseniev y en el largometraje de Kurosawa intentando identificar qué factores más contribuyeron para configurar las estrategias de conocimiento y de interacción con el ambiente manifestadas por el explorador y por el cazador gold y, recursivamente, de qué forma esas estrategias contribuyeron a definir sus hibridaciones con el ambiente siberiano. Por último, a partir de las reflexiones tejidas a lo largo del trabajo, me interrogo sobre lo que ellas pueden decirnos sobre nuestra forma de interactuar con la naturaleza no humana y sobre el diálogo entre distintas formas de percibir, conocer y relacionarse con el mundo

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

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

A aplicação dos temas transversais nas aulas de educação física - ensino médio integrado

A escola tem se guiado por ações pedagógicas do professor consideravelmente limitadas, as quais têm dificultado configurar com nitidez intenções educativas que contemplam a sua organização curricular. Nesse sentido, esta dissertação tem por objetivo apresentar uma experiência pedagógica da educação física a partir da operacionalização de temas transversais com os conteúdos curriculares no ensino médio integrado no IFRN, campus SGA. Os fundamentos teórico-metodológicos seguiram a linha qualitativa da pesquisa-ação. Participaram desta pesquisa estudantes dos cursos de Edificações e Informática do 1º ano do ensino médio integrado e a professora-pesquisadora, que é servidora efetiva do instituto. Optando pela pesquisa-ação, estruturamos uma intervenção pedagógica com intenção de promover a construção de conhecimento dos conteúdos da educação física com os temas transversais, tanto em amplitude como em profundidade, alicerçada no aporte teórico da teoria da ação dialógica (FREIRE, 2011) e da concepção aberta no ensino da educação física (HILDEBRANDT, 1986). A pesquisa teve como procedimentos a observação participante e a filmagem das aulas de educação física. As observações e os discursos dos estudantes foram organizados em categorias de questões, a saber: 1. Percepção dos estudantes sobre a educação física; 2. Sentidos e significados dos conteúdos da educação física na interfase com os temas transversais nas aulas; 3. Diálogos sobre a interação do conhecimento na relação professor-estudante. As observações e a análise dos depoimentos dos estudantes apontaram, em alguns momentos, que as aulas de educação física ainda são estruturadas no modelo rola bola , sem planejamento, configurando-se mera atividade, e não como prática pedagógica que trata dos saberes do campo da cultura de movimento. Por não constituir-se prática pedagógica que aborda os conteúdos de forma sistematizada, não se tem de forma precisa a ordenação e sequenciação dos aprendizados de práticas corporais, tampouco a introdução de temas transversais, os quais não poderiam ser aprendidos sem uma ação pedagógica concreta do professor. A interação professor-estudante afetiva e dialógica favoreceu que os estudantes se permitissem participar das experiências corporais de um jeito diferente, aceitando aprender os conteúdos curriculares em conjunto com os temas transversais, passando a perceber as aulas de educação física como espaços de experiências de movimento que lhes permitiram atribuir sentido/significado, além do conhecimento sobre o universo da cultura de movimento. A nosso ver, acrescentamos também que a escola não valorizou o trabalho com os temas transversais, pois a recente discussão sobre a inserção desses temas como temáticas relevantes, que devem ser tratadas pedagogicamente em conjunto nos componentes curriculares, ainda não é contemplada expressivamente no projeto curricular da escola

Reflexões e contribuições para o ensino de gravitação clássica no nível médio

The subject of Classic Gravitation is part of the actual curriculum for High School in Brazil, and it is taught in the first year of that education level. This master thesis presents a research regarding the subject Classic Gravitation in High School. This research was based in two complementary guidelines of research and action. The first guideline was the analysis of 21 didactic books of physics which are the more frequently used in High School, in the city of Natal/RN. The second guideline, worked after being verified the most common deficiencies presents in the didactic books, was the elaboration, followed by a practical application, of a course suggesting how to approach that subject in the classroom. The Parâmetros Curriculares Nacionais para o Ensino Médio (National Curricular Parameters for High School PCNEM) defend that Classic Gravitation is very important in the student s formation and that its study helps the comprehension of many nature s phenomena. Because of this vision of that subject by the PCNEM, the 21 analyzed books were separated in two groups: the first one, containing 10 books, was edited before the spreading of PCNEM, and the second, with 11 books, after that spreading. Whatever the group to which the didactic books belonged, the great majority of them let that subject in a second plan; two of them even suggesting, in the teacher s orientations, that the subject Gravitation can be suppressed in case of insufficient time . These analyses points that the PCNEM had produced no changes in the conception of the authors that wrote books regarding that subject. To analyze the didactic books, we elaborated a script which was used as an analysis tool, in which we put in evidence the relative importance of the historic and philosophic contextualization of the subject, the quotidian experience of the students and the interdisciplinary approach, among other aspects. It became evident that the didactic books give very little emphasis to historic aspects of the knowledge construction, to the relations with the day-by-day questions and to the interdisciplinary character of the subject Gravitation. It calls attention the non concordance among the authors opinions regarding the necessary previous knowledge or prerequisites the students should fulfill in order to begin to study Gravitation. The course we elaborated was given to a group of teachers as well as to students. In those courses we treated theoretical and practical aspects and emphasized historical questions and the ones which are related to people s daily life. The course for teachers was realized as an extra-mural activity of the UFRN and was given by the author of this thesis at the Escola Estadual Francisco Ivo Cavalcanti (a state public school in Natal/RN). There were 23 teachers present, from several public schools and several fields of knowledge. The thesis supervisor and the master degree s colleagues of the author acted as collaborators , reporting the participants opinions and speeches. The course to the students, on the other hand, had the participation of 300 regular students who belonged to 6 different 1st year classes of the High School Escola Marista de Natal (RN), in which the author acts as a physics teacher. The student s course was realized as part of the regular curriculum activities, in which three classes stood under the responsibility of the author and other three classes in charge of another Marista s teacher, who participated as a collaborator . The teacher s course as well as the students one were given in two stages, with five hours each. The first stage was divided in two moments, the first one focused on the survey of the spontaneous conceptions about gravitation, in which we worked basically with experiments of free throwing and pendulum, and the second one focused in theoretical presentations and quarrels about universe s models. In the second stage of the course we improved the study of Kepler s laws and the Newton s Universal Gravitation law, and we used as motivating tools some practices involving the construction of the solar system in scale. As instruments for evaluating both courses we used questionnaires and reported the speeches with participants opinions, beyond usual written evaluations in the course for the students. The teachers who participated in the course showed very good wills in realizing interdisciplinary practices; nevertheless, according their own speeches, they frequently came across the difficulty of how to do . From the experience we had in both courses, we conclude that the approach we propose hear to the teaching of the subject Classic Gravitation , supported on the tripod theory, practice and historical and philosophical aspects, is viable and effective. One hopes that this research may contribute in the formation of a opinion, among the teachers, concerning how to approach the subject of Classic Gravitation, and may offer suggestions in order those who want to apply that approach may develop classroom practices aiming to improve the teaching of that subject, which has a singular importance in the formation of High School students

A modelagem matemática como alternativa de ensino e aprendizagem da geometria na educação de jovens e adultos

This is work itself insert in the mathematics education field of the youth and adult education to aim to practitioners of the educational action into the mathematics area performing to with this is teaching kind, adopting to as parameter the Mathematics Molding approach. The motive of the research is to draw up a application proposal of the molding mathematics as teaching and learning geometry alternative in the youth and adult education. The research it develops in three class of the third level (series 5th and 6th) of he youth and adults education in the one school municipal from the Natal outskirts. Its have qualitative nature with participating observation approach, once performing to directly in to research environment as a mathematics teacher of those same classes. We are used questionnaires, lesson notes and analyses of the officials documents as an basis of claim instruments. The results indicates that activity used the mathematic moldings were appreciated the savoir-faire of the student in to knowledge construction process, when search develop to significant learning methods, helping to student build has mathematics connections with other knowledge areas and inside mathematics himself, so much that enlarges your understanding and assist has in your participation in the other socials place, over there propitiate to change in student and teacher posture with relation to mathematic classroom dynamics

Contribuições da investigação em sala de aula para uma aprendizagem das secções cônicas com significado

In this work, the didactical possibilities of investigation use in classroom, through an experience with high school students from Federal Center of Technological Education of Paraíba, as well as the study of conic sections were analysed. In order to fulfill our goals the theoretical conceptions concerning the meaninful learning in conection with the investigation of mathematics history were taken into account. The classroom research occurred by means of activities which encouraged the learner to investigate his own concepts on the conic sections. The results of the proposed activities showed the effectiveness and the efficiency of such a methodology as regards the making up of the required knowledge. They also reveal that the investigation in the classroom guides the ones involved, in this process, to have a wider look at the origins, the methods used and the several representations presented by mathematics that certainly lead, specially the students, to a meaninful learning

A difícil aceitação dos números negativos: um estudo da teoria dos números de Peter Barlow (1776-1862)

The present study seeks to present a historico-epistemological analysis of the development of the mathematical concept of negative number. In order to do so, we analyzed the different forms and conditions of the construction of mathematical knowledge in different mathematical communities and, thus, identified the characteristics in the establishment of this concept. By understanding the historically constructed barriers, especially, the ones having ontologicas significant, that made the concept of negative number incompatible with that of natural number, thereby hindering the development of the concept of negative, we were able to sketch the reasons for the rejection of negative numbers by the English author Peter Barlow (1776 -1862) in his An Elementary Investigation of the Theory of Numbers, published in 1811. We also show the continuity of his difficulties with the treatment of negative numbers in the middle of the nineteenth century