As geometrias urbana e isoperimétrica: uma alternativa de uso em sala de aula

The main goal of the present study is to propose a methodological approach to the teaching of Geometry and, in particular, to the construction of the concepts of circle (circumference) and ellipse by 7th and 8th grade students. In order to aid the students in the construction of these concepts, we developed a module based on mathematical modeling, and both Urban Geometry (Taxicab Geometry) and Isoperimetric Geometry. Our analysis was based on Jean Piaget's Equilibrium Theory. Emphasizing the use of intuition based on accumulated past experiences, the students were encouraged to come up with a hypothesis, try it out, discuss it with their peers, and derive conclusions. Although the graphs of circles and ellipses assume different shapes in Urban and Isoperimetric Geometry than they do in the standard Euclidian Geometry, their definitions are identical regardless of the metric used. Thus, by comparing the graphs produced in the different metrics, the students were able to consolidate their understanding of these concepts. The intervention took place in a series of small group activities. At the end of the study, the 53 seventh grade and the 55 eighth grade students had a better understanding of the concepts of circle and ellipse

A Compreensão da idéia do número racional e suas operações na EJA: uma forma de inclusão em sala de aula

The awareness of the difficulty which pupils, in general have in understanding the concept and operations with Rational numbers, it made to develop this study which searches to collaborate for such understanding. Our intuition was to do with that the pupils of the Education of Young and Adults, with difficulty in understanding the Rational numbers, feel included in the learning-teaching process of mathematics. It deals with a classroom research in a qualitative approach with analysis of the activities resolved for a group of pupils in classroom of a municipal school of Natal. For us elaborate such activities we accomplished the survey difficulties and obstacles that the pupils experience, when inserted in the learning-teaching process of the Rational numbers. The results indicate that the sequence of activities applied in classroom collaborated so that the pupils to overcome some impediments in the learning of this numbers

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

Uma investigação histórica sobre os logaritmos com sugestões didáticas para a sala de aula

This study was conducted from a preliminary research to identify the conceptual and didactic approach to the logarithms given in the main textbooks adopted by the Mathematics teachers in state schools in the School of Natal, in Rio Grande do Norte. I carried out an historical investigation of the logarithms in order to reorient the math teacher to improve its educational approach this subject in the classroom. Based on the research approach I adopted a model of the log based on three concepts: the arithmetic, the geometric and algebraic-functional. The main objective of this work is to redirect the teacher for a broad and significant understanding of the content in order to overcome their difficulties in the classroom and thus realize an education that can reach the students learning. The investigative study indicated the possibility of addressing the logarithms in the classroom so transversalizante and interdisciplinary. In this regard, I point to some practical applications of this matter are fundamental in the study of natural phenomena as earthquakes, population growth, among others. These practical applications are connected, approximately, Basic Problematization Units (BPUs) to be used in the classroom. In closing, I offer some activities that helped teachers to understand and clarify the meaningful study of this topic in their teaching practice

Pré-fabricados lingüísticos: estrutura e funcionamento de sintagmas verbais idiomatizados - por uma abordagem cognitivo-funcional em sala de aula

This work aims at under the cognitive-functional perspective describing, inside the vast domain of the linguistic prefabs, the structure and the functioning of the Idiomatic Verb Phrases (SVIs), produced by speakers of the Portuguese from Brazil, located in Natal (RN). From the functionalist presupposition that the language is used essentially to assist to communicative demands, it is observed that its morphologic-syntactic structure is conditioned to the inherent pragmatic vicissitudes to the verbal interaction of subjects, socially heterogeneous and historically established. It is focalized, in the composition of SVIs, the relationships VT + OD (transitive verb + direct object), characterizing the syntactic-semantic nature of the verb and of the respective verbal complement. Those verb combinations + complement can be interpreted as lexical structures, reflexes of the idiomaticity inherent to conventional constructions already systematized in the users' of the language cultural repertoire. It is sought, still, to glimpse the cognitive and discursive motivations pertinent to that linguistic phenomenon. In the investigative process, are analyzed exclusive data of speech collected in Corpus Discurso & Gramática a lingua falada e escrita na cidade do Natal, organized by Furtado da Cunha (1998). The adopted methodological procedures configure as methods of empiric analysis and use of the intuition, being emphasized the qualitative approach (explanatory) of the data with quantitative support of statistical indicators. It shows, finally, a grating of didactic suggestions on SVIs, for Portuguese's classes, as subsidies to the educational practice in the Medium Teaching and in the course of Letters.

Uma abordagem dialógica para a utilização de atividades experimentais em sala de aula

The belief of using experimental activities in the teaching of Physics as a strategy to produce a more efficient teaching-learning process is great among teachers and the school community. However, there are many difficulties for their implementation and when it happens they do not contribute for an improvement in class efficiency due to the method used. In this work, we developed a proposal for using these activities in Physics classes in high school, from a critical-reflexive approach in which the constant dialogue between the participants in the teaching-learning process is fundamental. The work was developed in two ways. The first, where the author/writer created an educational material and applied it in classroom and a second one, where he presented the idea to other teachers and undergraduate students from the Physics course at UFRN and IFRN (former CEFET-RN) through an extended workshop entitled "The role of experimental activities in the Physics teaching". This workshop had the duration of 60 hours and was implemented in 4 steps: i) sensitization and formation, ii) material development, iii) material implementation and iv) evaluation by teachers and students from the classes where the material was applied. The goal of this workshop was to present the approach, evaluate how the participants received the idea and how they would apply it in real situations. The results of the application in classroom allowed us to reach some conclusions. This approach was well received by the students as well as by the workshop participants. Despite some difficulties in relation to the handling of the implementation results by the workshop participants, they indicated changes in these professionals teaching practice and the introduction of experimental activities has been an important subsidy to assist them in Physics class in high school

Literatura: o espaço da criação e transformação identitária na sala de aula

Este trabajo pretende señalar maneras de cambiar el concepto de que los estudiantes de una clase de noveno grado de la escuela primaria en la Escuela de Estado Dr. José Gonçalves de Medeiros, en la ciudad de Acari-RN, tienen de sí mismos, de su entorno cultural y su capacidad de producción poética. Además, las referencias a las desigualdades sociales en Brasil utilizando como eje motivador de leer la poesía de Conceição Evaristo relacionada con la memoria, la lucha y la apreciación de ascendencia africana. Las aportaciones teóricas sobre la situación socio-interaccionismo, la poesía, la poesía en la escuela y la secuencia didáctica colaboran para afirmar que el estudiante de escuela pública en su discurso revela influencia del entorno familiar, social y cultural, sino también el entorno educativo, así como los primeros signos de sentimiento nacional: una mayoría excluida. Su poesía haciendo tiene sus raíces en el entorno socio-cultural y geográfica, lo que denota un principio revuelta, sin embargo, con el reconocimiento de las contribuciones de las clases desfavorecidas para la construcción de nuestro país, el estudiante tiene otras cuestiones, como el mestizo, la identificación África y el orgullo de su origen, la memoria y la cultura. Por lo tanto, se confirmam la relación rizomáticas entre las dos realidades. La elección de la investigación de intervención, en la confluencia con la investigación-acción y la investigación participativa se debe al hecho de que el intercambio de experiencias en la investigación científica es rica y significativa. Con el uso de una secuencia didáctica, cuyo eje sentir la poesía, analizar textos y hacer poesía, el estudiante es llevado a la percepción de las ventanas del universo contenida en este género literario, que es una herramienta comunicativa que ofrece numerosas posibilidades expresión, conocimiento del otro y reconocer mutuamente.

Entre cartas e contos na sala de aula: diálogos e afetos em textos de Mário de Andrade e Câmara Cascudo

Specific educational material production for a group of level IV – 8th and 9th years of Youth and Adults Education, having as starting point the reading of a series of letter of correspondence between Câmara Cascudo and Mário de Andrade in the 1920s, and the verification of the way the dialog between the two authors reveals elements that transpire themselves in the tale entitled “Piá não sofre? Sofre”, from the book Os contos de Belazarte, de Mário de Andrade. The educational material production was preceded by the analysis of the selected tale, which will be studied along with some of the letters, in an analysis of the textual, discursive and semantic features of the text in representation of these both genres: letter and tale. The selected tale was written between 1923 and 1926, dates close to the years when the author came by Rio Grande do Norte state, in the years from 1927 to 1929, accompanied by Câmara Cascudo, being also this period that there are records of letters in the set of correspondence between them. To the reading of the selected material, it was used theoretical references from literature and literary historiography, especially the history of Brazilian modernist movement. To the production of the educational material, it was chosen as theoretical reference the accumulated knowledge in the area of literature teaching, literacy and the recommendations of the Brazilian National Curriculum Parameters. The methodology in this study was constructed from the theoretical references and had as basic support the study of didactic sequences from which a specific thematic unit got its shape from, required by the analyzed material and tested in a classroom.

Entre cartas e contos na sala de aula: diálogos e afetos em textos de Mário de Andrade e Câmara Cascudo

Specific educational material production for a group of level IV – 8th and 9th years of Youth and Adults Education, having as starting point the reading of a series of letter of correspondence between Câmara Cascudo and Mário de Andrade in the 1920s, and the verification of the way the dialog between the two authors reveals elements that transpire themselves in the tale entitled “Piá não sofre? Sofre”, from the book Os contos de Belazarte, de Mário de Andrade. The educational material production was preceded by the analysis of the selected tale, which will be studied along with some of the letters, in an analysis of the textual, discursive and semantic features of the text in representation of these both genres: letter and tale. The selected tale was written between 1923 and 1926, dates close to the years when the author came by Rio Grande do Norte state, in the years from 1927 to 1929, accompanied by Câmara Cascudo, being also this period that there are records of letters in the set of correspondence between them. To the reading of the selected material, it was used theoretical references from literature and literary historiography, especially the history of Brazilian modernist movement. To the production of the educational material, it was chosen as theoretical reference the accumulated knowledge in the area of literature teaching, literacy and the recommendations of the Brazilian National Curriculum Parameters. The methodology in this study was constructed from the theoretical references and had as basic support the study of didactic sequences from which a specific thematic unit got its shape from, required by the analyzed material and tested in a classroom.

Os youtubers e a representação do certo, errado, adequado e inadequado no trabalho com a variação linguística em sala de aula

Some of the current discussions in the teaching of Portuguese Language (LP) pertain to how the school should deal with the phenomenon of language variation in the classroom. In 2010, for example, an explosion of talk took over the academic corridors: a book, entitled "Por uma vida melhor", the collection "Viver, Aprender", published by the MEC (Ministry of Education and Culture) to students EJA (Youth and Adults) brought notions regarding linguistic variation, even in their first chapter. In it is clear the notion that it is possible to make use of structures as "pretty boy", instead of "pretty boys", depending on the context in which such use is insert. Therefore, the discussions focused around the notions of variety cultivated, standard and popular measuring them to the possibilities of linguistic appropriateness. The community was surprised by the defense of the "power" to use, since it would be the school space to teach a standard "default", and not the possibility of legitimate use of grammatical patterns that clashed with those recommended in traditional grammars. The television media has been responsible for a major blaze that MEC had endorsed the use in schools of a book that legitimized such linguistic patterns. The quarrel was released on Youtube and in that space, netizens expressed themselves for or against the proposal of LD often directing the discussion to questions of a purely political. We observed that, on one side, loomed arguments related to Sociolinguistics (BAGNO , 2002, 2003, 2007, 2009; BAGNO, M.; STUBBS, M., Gagne, G., 2006; Bortoni - RICARDO, S.M., 2008; Tarallo, F., 1982; U. Weinreich, MARVIN I. HERZOG, Labov, W., 1968, Labov 1972, etc.); another, arguments concentrated on defending the school is the area of language teaching standard, and not fit to bring certain discussions within an LD. It was from these words, that this research was born. Interested in the particular way that the community media, which seemed to have no training in linguistics, understand the concepts of right, wrong, appropriate and inappropriate, so intimate in academic circles. Our thoughts take as reference the theoretical studies on the question of sociolinguistic variation and education, official documents that guide the "work" with the Portuguese language in the classroom, like the NCP (National Curriculum) and Curriculum Proposal for Education Youth and Adult (PCEJA). In our analysis, we found that LD" For a better life "makes no apology for teaching the "error", but it raises discussions about the possibility of "change", linked to factors and different order. We realize how significant it is to observe how speakers of a language are positioned in relation to language teaching which they are not speakers and scholars. Our study showed that certain issues regarding the teaching of the Portuguese language, as is the case of linguistic variation, points are far from being resolved, either for linguists and/or grammarians, whether for language speakers.

A sala de aula em cena: uma pesquisa em ensino do teatro a partir da experiência docente

At first moment we present a reflection about the history of theater and later a contextualization of didactic movements oriented to scenic arts. Through at the constant dialogue with authors of areas involving education, theatre, corporeality and music was possible analyzing, develop and criticize a education work under my responsibility involving fourteen classes. At the second moment will occur a critical self about the quality of theater classes his contents and methodologies. The technique will be at side of the emotion and together develop skills aimed at tracing paths for theater developed at a classroom of a especific private school in Natal-RN. At the third moment one class is chosen for analyze of the academic research and many experiments happen after this decision, initiated and sensitized through of the music with a significant look at the corporeality and prioritizing the theater as content in ninth grade - elementary school two. At the conclusion is possible see that learning is mutual and the theater can become life routine as well as the arts in general and when all arts will be regularized into the national educational system for public and private schools we will have more susceptible humans and more intellectual capacity

Práticas sócio-ambientais no espaço escolar: uma reflexão sobre a percepção dos usuários de duas escolas do ensino fundamental em João Pessoa, Paraíba

In the social-historical moment we live in, it is each time more evident the necessity of the people to learn to deal with the environment in conscientious way, taking care of themselves properly through it. In this direction, considering the school as a place where children, young and adolescents spend great part of their time, this work had as objective to examine the perception of school environment for students, professors and employees of two schools in João Pessoa city - Centro Estadual Experimental de Ensino-Aprendizagem Sesquicentenário and Escola Estadual de Ensino Fundamental e Médio Presidente Emílio Garrastazu Médici (Experimental State Center of Learning-teaching Sesquicentenário and Basic and High State School Education Emilio Garrastazu Médici President). From the presupposed that the environments in which and with which people live reflect their daily practices, the field work searched to identify the social-environmental practices that characterize the relation of these users with the school and, from this understanding, to infer some of their concerns regarding the environment as a whole. To analyze the use of the available physical space in the two institutions it was opted the use of the After-Occupation Evaluation, one of the approaches that feed the process of building production or built set, rescuing aspects related to its use, operation and maintenance. Besides analyzing diverse school environments (such as classroom circulations/accesses, library, pedagogical and sportive spaces) in relation to the environmental comfort and the perceptions of the main users of the schools (pupils, professors and employees), the dissertation tried to inquire the care (ambient education) of these users with the school space. In general, it was verified that the two schools have evaluations and perceptions really different for four reasons: (i) management of the schools; (ii) the users perception; (III) localization of schools and (IV) feeling of place, territoriality and appropriation

Avaliação Pós-Ocupação da iluminação natural das salas dos setores de aulas teóricas da Universidade Federal do Rio Grande do Norte

The objective of this study is to assess the natural light of the classrooms sectors, at Universidade Federal do Rio Grande do Norte. It was applied the Post-Occupation Evaluation technique, by using questionnaires and brightness levels measurements inside the classrooms. In order to check the users satisfaction degree, it was initially done a general approach on the related aspects to natural light: their characteristics, availability, sources, opening systems and evaluating tools. It was also determined the necessary brightness levels for the activities development in the classroom and the Post-Occupation Evaluation technique used in the search analyses. Then, it was made the UFRN Campus` characterization; the models` definition which formed the data collection basis; the detailing of the procedures used in the research, the processing description and the data analysis. Subsequently, the results that clarify the issues raised were shown through quantitative and / or qualitative data analyses. This research notes a high level of satisfaction by the users, despite some problems such as the reflections occurrence on the board, the lack of uniformity and, occasionally, the brightness low levels

Vídeo-aula de história da matemática: uma possibilidade didática para o ensino de matemática

In this work we are disagreeing with the possibility of production and of the use of video-class for the disciplines of history of mathematics by the teachers of elementary e middle school as a way to contribute to the development of their classes. Our goal is to provide to the mathematics teachers the option of connecting social, scientific, cognitive, and didactic aspects of topics in math thoughts to their students. That shall be based in the presence of mathematics in the history of humanity. Thus, we consider possible that teachers and their students can link and relate mathematics to other sciences, education culture, and reflect about the many ways of represent them, as well as the patters of organization of nature and of culture. In this way, they shall be able to observe and interpret situations that involve mathematical questions associated to the various means of historic-epistemological studies already done by other researchers and scholars in the field of history of mathematics who works in creating video-classes. In addition to that, we can use all the available media in order to give edifying dynamics to the mathematical formulations established throughout history. In this sense, we are based and focused on the objectives, which are sustained by educational computer technology, techniques for video making, as well as mathematical teaching proposals and the historical inquiring made by Mendes (2001, 2009a, 2009b). The validating experimentation allowed us to conclude that the techniques we used in the production of the history of mathematics video-classes proved they to be valid ones. They are able to be executed with the minimum of technological resources. In addition, they have the same efficacy as far as classroom use

A formação pós-graduada em ensino de ciências naturais e matemática de docentes do IFRN: implicações na atuação docente

This research part of the educational context of the Federal Rio Grande do Norte, through the resumption of legal frameworks that characterize it as an institution belonging to the Federal Network of Professional Education and Technology Brazilian, with a focus on continued education policies for the servers who work there specifically teachers, especially those who have their work in the Teaching of Natural Science and Mathematics. To do this the cut in an agreement between the IFRN and UFRN PPGECNM through the professional master's degree Teaching of Natural Sciences and Mathematics. This agreement as we have research collaborators 08 master teachers who graduated in the period 2004 to 2010, so we undertook a qualitative and quantitative research aimed to conduct the study in general terms of description and analysis of the impacts caused by the formation of masters IFRN in PPGECNM UFRN, taking into account the production of the same academic (dissertation), his performance in the context of the institution and the historical, social, economic and political aspects involved, and also meet the guidelines of the project at the Observatory in 2008 - MEC / CAPES / BSD-P. We used the theoretical options methodological elements of Comprehensive Interview and multireferentiality, our data collection instrument was the main interview, we also performed the analysis of dissertations by lecturers and teachers featured, from the specific descriptors used in catalogs USP / IFUSP (1992, 1996) and UNICAMP / FE / CEDOC (1998) and by other researchers. In analyzing and understanding the speech of the interviewees were able to identify the implications of teacher education in the school context, the motivation to seek the Master; how was the construction of the object of study of the educational product and its use in teaching practice and intervention, the question of the role of master teachers in the school environment to the post master taking into account changes in professional performance and influence in the working groups, how does the use of research and investigation in the classroom after training and between training and educational quality in the context of IFRN. In reading and analysis of the dissertations were able to identify the main focus and under-explored thematic focus as well as the theoretical methodological references. At the end of the research developed a product that could be used for technical analysis studies and assessment in quantitative terms the results achieved by the master teachers IFRN through his training in PPGECNM UFRN