Uma visita ao universo matemático de Lewis Carrol e o (re)encontro com sua lógica do nonsense

Notable mathematics teacher, Lewis Carroll, pseudonym of Charles Lutwidge Dodgson (1832-1898), made the mixture of mathematics with literature a ludic environment for learning that discipline. Author of Alice s Adventures In Wonderland and its sequel Alice Through The Looking Glass, he eventually created a real and complex universe which uses what we call the logic of the nonsense as an element to motivate the development of mathematical thinking of the reader, taking it as well, learn by establishing a link between the concrete (mathematics) and the imaginary (their universe). In order to investigate and discuss the educational potential of their works and state some elements that can contribute to a decentralized math education from the traditional method of following the models and decorate formulas, we visited his works based on the studies of archeology of knowledge (FOUCAULT, 2007), the rational thought and symbolic thinking (VERGANI, 2003) and about the importance of stories and narratives to the development of human cognition (FARIAS, 2006). Through a descriptive, analytical study, we used the literary construction and presented part of our study in form of a mathematical novel, to give the mathematical school a particular charm, without depriving it of its basics properties as discipline and content. Our study showed how the works of Carroll have a strong didactic element that can deploy in various activities of study and teaching for mathematics classes

Proposta pedagógica e prática docente na educação infantil

El objetivo que nortea este estudio fue el de pesquisar las relaciones entre la propuesta pedagógica de una institución pública de educación infantil y las practicas docentes. Para el alcance de este objetivo asumimos el abordaje cualitativo de investigación y optamos por la metodología de estudio de caso, siendo empírico una escuela pública de la municipalidad de Caicó. Fueron adoptados como procedimientos, la análisis documental, la entrevista semi-estructurada y la observación no-participante. Los fundamentos teóricos que sirvieron de marco a nuestras interpretaciones se encuentran en las concepciones contemporáneas acerca del niño, de la niñez y de su educación, como sobre los procesos de aprendizaje, desarrollo y currículo para educación infantil, como también la legislatura en vigor, los documentos oficiales y propuestas curriculares de referencia en la actualidad. A partir de ese marco, el niño está concebido como sujeto concreto, marcado por contingencias biológicas propias de la especie humana y, al mismo tiempo, contingencias histórico-culturales. Capaz de aprender y desarrollarse en condiciones de interacción y mediación por medio de la apropiación y producción de cultura. La niñez está comprometida como tiempo y condición de ser niño, marcada por especificidades frente a otras fases evolutivas. Esas concepciones históricas imponen una educación infantil con función de educar-cuidar, mediadora de cultura para los niños, implicando intencionalidad y sistematicidad de las intervenciones institucionales. De este modo emerge la necesidad como principio científico y exigencia legal de la elaboración y implementación de propuestas pedagógicas/curriculares, comprendidas como construcciones colectivas que involucran tanto los principios como proposiciones didácticas que instrumentalizan las prácticas de los educadores de niños, con el objetivo de garantizar la calidad del atendimiento. De esos fundamentos y basado en los principios de análisis de contenido, procedemos a la interpretación de datos construidos a partir de la análisis del documento-propuesta, del habla de los sujetos y de los registros de observaciones realizadas en dos salas de clase. La recomposición de la historia de la propuesta de la institución reveló, en principio, que su elaboración se hace sin una participación efectiva y equitativa de todos los profesionales. Sobre las relaciones entre el contenido en el documento y la práctica de los profesores, esa nos llevó a la definición de Categorías frente a lo que se reveló más significativo en el conjunto de datos: 1) Concepciones que fundamentan la propuesta pedagógica y la práctica docente y 2) Elementos de organización didáctica; y subcategorías: 1.1) Niño; 1.2) Función de la Educación Infantil; 1.3) Aprendizaje y desarrollo; 2.1) Contenidos y actividades; 2.2) Relación Escuela-familia. Del entrecruzamiento de los datos alrededor de esa categorización, emergieron relaciones de encuentros y, de manera más significativa, de desencuentros. Esas constataciones nos llevan a las condiciones de formación y actuación de los educadores infantiles e indican la necesidad que esas sean viabilizadas, en los contextos de las instituciones formas de participación efectiva de los profesionales responsables, sobretodo los profesores, en la elaboración e implementación de propuestas pedagógicas para instituciones de educación infantil. Prácticas que pueden convertirse en modos de actualización permanente y de efectivación de las propuestas, como también de formación continuada de los profesores. Por consecuencia, de posibilidades de mejoría de la calidad de la educación de los niños

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.

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

Pedagogia Freinet :mediação para o social, o político e a formação de professores

Ce projet présente dans son premier chapitre une étude historique-bibliographique basée sur la Pédagogie Freinet en France, ainsi que sa formation républicaine, ses courants politiques et idéologiques qui ont moulés l organisation sociale et éducationnelle de ce pays. Ce travail montre le rôle des courants de gauche dans ce processus, cela se reflète aussi sur le jeune Freinet. Les changements opérés dans la décennie de 1950 dans le système scolaire, dans le propre Mouvement Freinet et les ruptures qui ont eues à l intérieur de ce mouvement. Cela se termine avec les directions prises dans les dernières décennies, son arrivée au Brésil et les perspectives actuelles. Le deuxième chapitre aborde la reconstitution historique du Brésil dont sa phase coloniale et impériale. Les événements historiques de la IIIe, IVe et Ve République sont mis en relief avec ceux du Mouvement Freinet. La phase militaire imposée au Brésil et les luttes pour la reconquête de la démocratie. Il se termine avec les considérations sur la LDBEN 9394/96 et l implantation du Curso Normal Superior; un bref historique de la Pédagogie Freinet au Brésil, des thèmes importants travaillés dans le troisième chapitre. Dans ce chapitre une recherche qualitative est décrite basée dans l Etnographie Critique et Multiréférentiellel et aussi dans la Recherche-Action. Elle est développée auprès d un groupe de cinq professeurs des premières classes de l école primaire au collège, inscrites dans le Curso Normal Superior. Les données ont été obtenues à partir de rencontres régulières avec le groupe la médiation didactique , des entretiens, des questionnaires, des observations dans les salles de classe, du travail final du cours, nommé Mémorial de Formation. À travers l ensemble des données, on recherche les apports et l actualité d une proposition pédagogique historiquement firmée pour le développement de la praxis éducative

Avaliação do programa escola ativa como política pública para escolas do campo com turmas multisseriadas: a experiência em jardim do seridó/rn (1998-2009)

This work aims at developing an evaluation of the implementation of the Program Escola Ativa as a public policy for rural schools with combined grade classrooms in Jardim do Seridó RN (1998 2009) focusing on the following dimensions: school s physical environment, training, follow up, and didactic usage of the methodology. In order to develop this research we refer to the literature that analyzes the cycle of policies (FREY, 2000). In this approach, evaluation represents an important step in the process of analyzing the implementation of public policies, as a way of measuring up their performance, as well as a guide for realignments and redefinitions (PRESSMAN; WILDAVSKY, 1998). In order to accomplish this function, the evaluator of policies must be acquainted with scientific concepts and methods that consist of describing, interpreting and analyzing the policies in the governmental sphere (MENY; THOENIG, 1992; LIMA JÚNIOR, 1978). In this perspective, we intend to investigate whether in its proposition of minimizing the blanks in the Brazilian educational system, the implementation of the Program would be contributing to the improvement of the political-pedagogical practices in the rural schools with combined grade classrooms in Jardim do Seridó RN. In order to do this research, we have developed a theoretical-methodological matrix made of analysis dimensions, variables, indicators and instruments, such as literary revision, documental analysis, semi-structured interviews with four teachers and three supervisors that work and/or have worked in Escola Ativa in that town in the period comprised among 1998 2009, besides notes taken from field observation and photographs from four rural schools with combined grade classrooms. With this research we have identified that the Program, at a national level, has gone through different phases in its implementation process, for the town was not ready to fully take the responsibilities of the autonomous expansion, in 2002. From that period on, the execution of Escola Ativa has suffered several discontinuities, such as the lack of professional training and supervising. It is also noted that the methodology contributes to the dynamization of the didactic-pedagogical activities and promotes the cooperation and autonomy of the students in the organization and the applicability of the components of the curriculum, especially of Governo Estudantil and Cantinhos de Aprendizagem. Although the directions of the Program (BRASIL, 2005) point out that Escola Ativa has among its principles social transformation, we identified that, isolated, the initiative is not capable of promoting the changes that the rural schools need, namely investments in the physical, material, pedagogical and technological infra-structure, besides the estimation and a career plan for the teachers. In a general draft of the results of this research, we realized that some aspects presented about the peculiarities of Escola Ativa in Jardim do Seridó as a governmental Program, reinforce the need for the public policies to be evaluated, in order to confront critic and operationally the planning with the practice, revising action, whenever necessary

Objetiva(ação) da medida e contagem do tempo em práticas socioculturais e educativas

This thesis describes and analyzes various processes established and practiced by both groups about the socio-cultural objective (action) the measurement and timing, mobilized some socio-historical practices as the use of the gnômon of the sundial and reading and interpretation of movements celestial constellations in cultural contexts such as indigenous communities and fishermen in the state of Pará, Brazil. The Purpose of the study was to describe and analyze the mobilization of such practices in the socio-historical development of matrices for teaching concepts and skills related to geometric angles, similar triangles, symmetry and proportionality in the training of mathematics teachers. The record of the entire history of investigation into the socio-historical practice, the formative action was based on epistemological assumptions of education ethnomathematics proposed by Vergani (2000, 2007) and Ubiratan D'Ambrosio (1986, 1993, 1996, 2001, 2004) and Alain Bishop conceptions about mathematics enculturation. At the end of the study I present my views on the practices of contributions called socio-cultural and historical for school mathematics, to give meaning to the concept formation and teaching of students, especially the implications of Education Ethnomatematics proposed by Vergani (2000) for training of future teachers of mathematics

Como vão se formando os professores em física e química: embates entre o ser, o ter e o fazer na formação de licenciandos da UFRN sob a perspectiva da teoria das representações sociais

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

Saberes pedagógicos/comunicacionais, pesquisa/formação: reflexões sobre as experiências formativas das professoras online

The thesis, entitled, Pedagogical/comunication knowledge, research/formation: Reflections on the formative experiences of teachers online , developed dialogues on the pedagogical/communication knowledge, research-formation and the formative experiences of teachers online, for the purpose of understanding how pedagogical/communication knowledge is establishing/established from the formative experience of teachers online. For this reason we began with the following question: how does pedagogical/communication knowledge become estabilishing/established beginning with the formative experience of teachers online? The methodological approach for the selected research was research/formation, based on Ethnoresearch of critical formation. This became a rich route for reflections on pedagogical/communication knowledge and formative experiences, making a contribution for formation and autoformation of the teacher/researcher and the teachers online. This provided moments of formation, of reflection-in-action and on the action, potentialized/structured the process of comprehending, analyzing, interpreting, reflecting on the formative experiences and contributing for reflections on pedagogical/communication knowledge of the teacher online. The theoretical referential dialogue was based on concepts such as: education online, interactivity Silva (2002), Santos (2005), Moran (2003), teaching, Veiga (2005), Pimenta (2002), Freire (2005), Tardif (2002), teaching online Sacramento (2006), teaching knowledge Tardif (2002), Charlot (2000), Porlán (1997), García (1992), Freire (2005), Ethnoresearch-formation Macedo (2000), formation Macedo (2010), Josso (2010). The discoveries revealed that the pedagogical/communication knowledged becomes establishing/established beginning with formative experience of the teachers online, from the emergency of a collective communicative dialogue, structuring and potentialized by the experiences of the context online, from the didactic pedagogical/communicational organization online, of the research, of the relation created by the expertise and the presents itself along the itinerary of the family , the school, academic and professional. From this we can conclude that of knowledge and plural experiences, which became broken down because they are parts that relate themselves with other parts, which become united in one whole, the singular/plural, the local/global, the text and the context, agregating principles a pedagogical- communication perspective that orients :the dialogue, the interactivity, the hypertextuality, themultivocallity, formative dispositions, formative experiences all of wich makes for the possibilities for researdh and the training of professors and teachers who accept their point of departure and enddind points as pedagogy and experience

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

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

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

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

Ateliês de história e pedagogia da matemática: contribuições para a formação de professores que ensinam matemática nos anos iniciais

This paper presents a discussion about the use of the History of Mathematics as an educational resource and conceptual mediator in the formation of teachers who teach mathematics in the years of elementary school. It was a qualitative action method, in order to show the importance of holding workshops of History and Pedagogy of Mathematics as contribution to overcome the conceptual difficulties of teaching and teachers regarding the content covered in the course of education and afterwards they have to teach in the early of elementary school. We assume that understanding the historical, social and cultural comprehension as a conceptual and didactic focus effectively nurture the pursuit of a teaching and learning of mathematics students safe and justified in order to contribute to overcoming the difficulties of teaching and learning usually occurred in the classroom of the early years. In this sense, we organized a study group formed by students of Bachelors in Education and Mathematics at the University of Piauí. We developed five training workshops in History and Pedagogy of Mathematics, with a workload of 20 hours each and four follow-up sessions and advicement, totalizing 180 hours. The purpose of workshops was to develop studies on the History of Mathematics that could support the formation of a conceptual and didactic group with a view to prepare teaching materials and activities based on information drawn from undertaken historical studies .The products designed were used in formation of the group itself and will later be used in training teachers of public school in Teresina, in the form of workshop of History and Pedagogy of Mathematics in order to overcome problems arising from teaching and conceptual this education degree in Education Based on the obtained informations it was possible to suggest new referrals procedural level of education and university extension that may contribute to the reorientation of initial and continuing training of teachers in the early years elementary school

Formação da habilidade de interpretar gráficos cartesianos em licenciandos em química segundo a teoria de P. Ya. Galperin

It has been remarkable among the Science Teaching debates the necessity that students do not learn only theories, laws and concepts, but also develop skills which allows them to act towards a critical citizenship. Therefore, some of the skills for the natural sciences learning must be taught consciously, intentionally and in a planned way, as component of a basic competence. Studies of the last twenty years have shown that students and teachers have plenty of difficulties about skills development and, among several, the skill of interpreting Cartesian graphics, essential for the comprehension of Natural Science. In that sense, the development of that type of professional knowledge during the initial education of future Chemistry teachers has become strategic, not only because they need to know how to use it, but also because they need to know how to teach it. This research has as its general objective the organization, development and study of a process of formation of the skill of interpreting Cartesian graphics as part of the teachers professional knowledge. It has been accomplished through a formative experience with six undergraduate students of the Teaching Degree Course of Chemistry of Universidade Federal do Rio Grande do Norte (UFRN Federal University of Rio Grande do Norte), in Brazil. In order to develop that skill, we have used as reference P. Ya. Galperin s Theory of the Stepwise Formation of Mental Actions and Concepts and its following qualitative indicators: action form, degree of generalization, degree of consciousness, degree of independence and degree of solidness. The research, in a qualitative approach, has prioritized as instruments of data collecting the registering of the activities of the undergraduate students, the observation, the questionnaire and the diagnosis tests. At the first moment, a teaching framework has been planned for the development of the skill of interpreting Cartesian graphics based on the presupposed conceptions and steps of Galperin s Theory. At the second moment, the referred framework has been applied and the process of the skill formation has been studied. The results have shown the possibility of develop the skill conscious about the invariant operation system, with a high degree of generalization and internalized the operational invariant in the mental plane. The students have attested the contributions at that type of formative experience. The research reveals the importance of going deeper about the teaching comprehension of the individualities tied to the process of internalization, according to Galperin s Theory, when the update of abilities as part of the teaching professional knowledge is the issue

Quadrinhos nas aulas de ciências: narrando uma história de formação continuada

Located at the intersection of Science Education, Teacher Training and use of didactic Comics (HQ), the text aims to discuss the problem which thus sets: - What is the contribution of the incorporation of comics in the continuing education of teachers Natural Sciences of the early years of elementary school? - May be the comics for enabling science teaching? - How to contribute to a reflexive training of teachers of the early years? - In order to answer these questions, there was a collaborative action research in a school located in the city of Natal / RN, with three teachers who teach natural science in the early years of elementary school. The study involved the conduct of 13 meetings of in-service, under the focus on reflective practice, with the purpose of discussing topics underlying the teaching of science and the use of comics as a methodological strategy. All meetings were recorded on audio and transcripts. The teachers finally recorded the meetings by writing a portfolio. The teachers made use of 10 sessions with reading comics in science classes, which were video recorded and later watched by the educators in autoscopy sessions followed by individual interviews. From the collected data, several aspects that have emerged can be grouped into three categories: The difficult concept of science, teachers' work and the obstacles and possibilities of comics as a teaching strategy. In this sense, are woven assessments taking as its founding, look for the reflective and dialogic practices exercised in the classroom. In the analysis of the data, we can see the conceptual difficulties, methodological and pistemological questions of teachers for teaching science, but also the limitations of comic books for teaching. Learning more relevant appointed by the teachers is related to the importance of collective work to mitigate the training needs of teaching. Finally, signals that the HQ has a great potential for use in science classes, provided that the teacher conduct a careful planning for this, but that the meetings of continuing education promote moments of reflection on teaching practices that are capable of giving rise to new attitudes before the difficulties they depict

Um estudo sobre a aprendizagem de números irracionais no ensino médio

The present study describes theoretical practical relationships between development and application of activities in Mathematics education. It s proposed a methodological approach to Mathematics in the first grade of Ensino Médio, supported by an experiment involving Irrational Numbers education by using constructive activities, applied obeying an educational sequence. Constructivism is used as an important theoretical reference in teaching learning process of Mathematics. The methodological intervention was done with two classes of students of the first grade of Ensino Médio, in two public schools, a state one and a federal one, located on the city of Natal, Rio Grande do Norte. The development, application and testing of the activities used on this experiment led us to think more profoundly about the value of constructivism ideas and understand that the use of activities that obey an educational sequence favors the learning. It s also discussed the research results, commented on a way to contribute to the advances of the proposal and it s more constant use. The participation and testing of the students were analyzed and judged using Skemp s Instrumental Understanding and Relational Understanding concepts. The results of the research were considered good, so we believe this methodological intervention can be used more frequently in the classes of Ensino Médio and also be applied to teachers in courses of initial education and continuous formation