Pedagogia etnomatemática : ações e reflexões em matemática do Ensino Fundamental com um grupo sócio cultural específico

mongst the trends in Mathematics Education, which have as their object a more significant and criticallearning, is the Ethnomathematics. This field of knowledge, still very recent amongst us, besides analyzing an externalist history of the sciences in a search for a relationship between the development of the scientific disciplines and the socio-cultural context, goes beyond this externalism, for it also approaches the intimate relationships betwe_n cognition and culture. In fact, the Ethnomathematics proposes an alternative epistemological approach associated with a wider historiography. It struggles to understand the reality and come to the pedagogical action by means of a cognitive approach with strong cultural basis. But the difficulty of inserting the Ethnomathematics into the educational context is met by resistance from some mathematics educators who seem indifferent to the influence of the culture on the understanding of the mathematics ideas. It was with such concerns in mind that I started this paper that had as object to develop a curricular reorientation pedagogical proposal in mathematics education, at the levei of the 5th grade of the Ensino Fundamental (Elementary School), built from the mathematical knowledge of a vegetable farmers community, 30 km away from the center of Natal/RN, but in accordance with the teaching dimensions of mathematics of the 1 st and 2nd cycles proposed by the Parâmetros Curriculares Nacionais - PCN: Numbers and Operations, Space and Form, Units and Measures, and Information Treatment. To achieve that, I developed pedagogical activities from the mathematical concepts of the vegetable farmers of that community, explained in my dissertation research in the period 2000 through 2002. The pedagogical process was developed from August through Oecember 2007 with 24 students of the 5th Grade of the Ensino Fundamental (Elementary School) of the school of that community. The qualitative analysis of the data was conducted taking into account three categories of students: one made up of students that helped their parents in the work with vegetables. Another one by students whose parents and relatives worked with vegetables, though they did not participate directly of this working process and one third category of students that never worked with vegetables, not to mention their parents, but lived adjacent to that community. From the analyses and results of the data gathered by these three distinct categories of students, I concluded that those students that assisted their parents with the daily work with vegetables solved the problem-situations with understanding, and, sometimes, with enriching contributions to the proposed problems. The other categories of students, in spite of the various field researches to the gardens of that community, before and during the pedagogical activities, did not show the same results as those students/vegetable farmers, but showed interest and motivation in ali activities of the pedagogical process in that period

Narrativa autobiográfica como prática de formação e de atualização de si : os grupos referência e o grupo reflexivo na mediação da constituição identitária docente

The thesis: "autobiographical narrative as practical continuous training and updating of itself: the groups-reference and the reflexive group in the mediation of identity construction of teaching" begins in the founder matter: "What are the implications of groups-reference in the process of identity formation and the teaching role of teachers which is participating of the research? This object of study deals with the continuing education of teachers of Basic Education and the role of the reflective group as space-time of (re) construction of educational knowledge, for the recognition of yourself. The thesis defends that the autobiographical narrative, as a pedagogical tool and research, for the initial and continuous training, is presented as theoretical and methodological foundation necessary for identity formation of the teacher. The research is limited to the qualitative approach with a focus on the autobiographical narrative. The participants are six teachers, three teachers and three students-teachers. The corpus comprises six autobiographical narratives, six reports of successful experiences, two studies on the biographical work, and six individual testimonials about the impact in personal and professional life. The data analysis was to reference Dausien and Alheit (2006), Bruner (1997), Contreras (2002), Delory-Momberger (2007), Freire (2005), Giddens (2002), Josso (2004), new (1988, 2002), Passeggi (2001, 2002), Pineau (2004), Ricoeur (2004), Souza (2006), Tardif (2002) and Vygotsky (2005). The research revealed that the formation of identity as a teachers of the educators occurred in the reference group, involving the formal, non-formal and informal of the processes of knowledge , in a movement of alternation training that includes yourself, the other and the ambient. Also revealed that the pedagogical choices of the teachers studied aimed at minimizing educational gaps that were lived in both field personal and social; that the personal identity is configured as an identity narrative and the methodology of the biographical work, through the mimesis of continuing education, provided the passage from the group reflective to the group of reference

Uma análise histórico-epistemológica do conceito de grupo

This work aims to analyze the historical and epistemological development of the Group concept related to the theory on advanced mathematical thinking proposed by Dreyfus (1991). Thus it presents pedagogical resources that enable learning and teaching of algebraic structures as well as propose greater meaning of this concept in mathematical graduation programs. This study also proposes an answer to the following question: in what way a teaching approach that is centered in the Theory of Numbers and Theory of Equations is a model for the teaching of the concept of Group? To answer this question a historical reconstruction of the development of this concept is done on relating Lagrange to Cayley. This is done considering Foucault s (2007) knowledge archeology proposal theoretically reinforced by Dreyfus (1991). An exploratory research was performed in Mathematic graduation courses in Universidade Federal do Pará (UFPA) and Universidade Federal do Rio Grande do Norte (UFRN). The research aimed to evaluate the formation of concept images of the students in two algebra courses based on a traditional teaching model. Another experience was realized in algebra at UFPA and it involved historical components (MENDES, 2001a; 2001b; 2006b), the development of multiple representations (DREYFUS, 1991) as well as the formation of concept images (VINNER, 1991). The efficiency of this approach related to the extent of learning was evaluated, aiming to acknowledge the conceptual image established in student s minds. At the end, a classification based on Dreyfus (1991) was done relating the historical periods of the historical and epistemological development of group concepts in the process of representation, generalization, synthesis, and abstraction, proposed here for the teaching of algebra in Mathematics graduation course

O grupo escolar modelo augusto severo (1908-1928): vinte anos de formação de professores

Ce travail a pour objet d'étude le Groupe Scolaire Augusto Severo, situé à Natal, première institution du type dans l'État du Rio Grande do Norte. Il analyse la pratique pédagogique, le modèle d'éducation primaire et d'expérimentation des personnes en formation de l'École Normale de Natal, entre 1908 et l'année de 1928. Dans cette période, se sont produites des tentatives d'organisation scolaire par le biais de la Réforme de l‟Enseignement Primaire (1908) et de la Réforme de l‟Enseignement (1916). Nous nous sommes basés sur l'Histoire Culturelle définie à travers la conjonction de l'histoire des objets dans sa matérialité, des pratiques dans leurs différences et configurations, des dispositifs dans leurs variations. Nous avons utilisé les journaux A República et Diário do Natal, la revue Pedagogium, des Lois, des Décrets et Messages du Gouvernement, des Codes d'Enseignement et le Régime Interne des Groupes Scolaires, documents qui proviennent du fonds de l'Institut Historique et Géographique do Rio Grande do Norte (IHGRN) et des sources iconographiques, provenant de l'Institut du Patrimoine Historique et Artistique National (IPHAN/RN). Dans les Archives Publiques de l‟Etat (APE/RN) nous avons recherché les Livres d'Enregistrement des Groupes Scolaires et Écoles Isolées, Offices, Inscriptions, Rapports et Actes de réunions de la Direction Générale de l'Instruction Publique et Journal de Classe. Nous avons analysé l'action des professeurs dans cette institution primaire, ainsi que l'histoire des disciplines scolaires et des programmes d'enseignement, la problématique des contenus et méthodes. Nous avons observé que la méthode intuitive était la dynamique de la pratique pédagogique efficace et que les rites de récompense, les cérémonies civiques composaient l‟ensemble des idées modernisatrices de l‟époque

Grupo Escolar Duque de Caxias festas escolares: uma celebração de múltiplos significados - 1949 1962

El trabajo que aquí se presenta tuvo como objetivo investigar una institución escolar en la ciudad de Macau / RN. Esta institución, que fue innovadora en su contexto social y pedagógico, fue pesquisada a la luz de los parámetros de la historia cultural. Una escuela que fue creada en el siglo XX, en el año de 1923, cuando el país aún vivía la efervescencia de la implantación del nuevo ordenamiento político - la República. Elegimos como objeto de estudio las fiestas escolares, que tuvo lugar en esta institución durante el periodo 1949-1962, procurando aclarar cómo ocurría la realización de estas fiestas y cómo fueron fundamentales para el funcionamiento de las relaciones políticas, sociales y culturales en el ámbito escolar. El análisis y la interpretación de las fuentes documentales escolares, los documentos de otras instituciones, las entrevistas abiertas, la información oral, la legislación de la educación y de las escuelas, los periódicos y documentos oficiales de la época relacionados con la temática y que formaron el corpus documental, se basaron por obras de Souza (1998), Juliá (2001), Castro (1997), Kossoy (2001) Saviani (2005), Escolano (1992) y Carvalho (1990). Por tratarse de una institución de enseñanza, el análisis central es la cultura escolar y la historia de la educación brasileña es el campo de la investigación, haciendo una relación de las fiestas escolares. En el relato, se reconstituyen las festividades cívicas, solemnes y recreativas, además de los elementos de formación que se evidencian en el discurso de la educación moderna. Para ello, buscamos entender que, en las prácticas cotidianas de la escuela, había un método de actuación que seguía las directrices del Departamento de Educación. Estas directrices eran dadas por medio de las normas y decretos editados y se adentraban en el discurso en torno de las iniciativas emprendidas para difundir las nuevas prácticas pedagógicas, y dentro de ellas, en el momento apropiado, los profesores dedicaban un tiempo de sus clases para explicar acerca de los días festivos y sus organizaciones. Estas constataciones fueron certificadas por la documentación listada y por las entrevistas abiertas, y nos señaló para el modelo escolar propugnado por el Grupo Escolar Duque de Caxias, que era fruto del nuevo orden republicano

História das mulheres idosas do Grupo Aurora da Vida Campina Grande-PB (1940-1950)

La recherche intitulée l Histoire des femmes agées du group Aurore de La Vie: Campina Grande-PB (1940-1950) a surgit comme consequence de mon observation sur les interêts de femmes en retrouner à l école aprés qu elles étaient arrivées aux soixante ans, um moment de la vie que malgré son importance est encore considerée par trop de gens comme des moments d être seul jusqu à la fin de la vie. Alors, nous avons formulé la question la plus importante de ce travail: Quel est l histoire de l éducation des femmes agées du group Aurore de La Vie, dans le période de son education d enfant? Un group de 25 femmes qui ont étudié le projet Digna, on a fait une seletion de treize agées, entre 65 et 80 ans, qui s appellent: Perpétua, Florinda, Benta, Ambrósia, Celestine, Cordélia, Circe, Filomena, Desdêmona, Dorotéia, Ofelia, Martítius e Nausica. Beaucoup d intelectuels nous ont aidé avec la base theórico-methodologique et nous ont presenté l histoire des excludées comment une histoire en construction. Parmis ces intelectuelles on rencontre Chartier, Halbwachs, Elias, Perrot, Bosi, Bezerra, Morais et Machado. Pendant notre recherche nous avons employés des narrations, des entrevues, des questions ouvertes ou les femmes puissent parler sur l histoire de leur vie. Nous avons regardé aussi le fiche des agées, le arquive de La Secretarie Municipale de Assistence Social (SEMAS) du Hôtel de Ville de Campina Grande-PB. Nous avons aussi étudié sur la legislation relié à la tematique de la Constituition Brésilienne dans l estatute et dans la Politique Nacional de l age. Notre étude nous a donné des analises sur les themas: pauvresse, travail, sourvenirs, jeux e aussi punitions scolaires. Nous sommes arrivés à la conclusion qu à l époque de son enfance, l éducation formale était déjá determinée pour le mariage, la pró-création la famille. Enfim toujours dédans de la maison excludées du reste du monde. Nous avons compris que pesquiser cet object d étude est un contribut avec l histoire des excludées en cassant le silence des femmes lesqueles on été ignorées par presque toute la prodution historiographique

O Corpo do grupo corpo: os movimentos das obras Benguelê, Lecuona e Onqotô

In this research, we invite to reflection by a phenomenological gaze on the body, through the description of some works of contemporary Brazilian dance company Grupo Corpo. This Company was chosen intentionally to give us elements in their creations to interrogate the understanding of the body and sensitive. Thus, as we launch issues in this dissertation: that body dance in Grupo Corpo? And as we can see, a phenomenological approach, an understanding of the body and sensitive works in that company? Building on this, the works are to be questioned Benguelê (1998/2003), Lecuona (2004) and Onqotô (2005). It is intended, through these works, coreological approaching the discourse of philosophical discourse and give movement to phenomenological thought of Maurice Merleau-Ponty, in special the sensitive, flesh of the body, the investment in the sensory world as a merger, calling the know body and its power to take chances, to incorporate the world, language, culture, create and choose. Thus, these openings is where thought enters this research. This consistency, we used the phenomenological attitude of Maurice Merleau-Ponty as a methodological approach, since in their study the philosopher takes a look expressive on the body, forming a sensitive language that is expressed in the movements, which deepens the arguments of the Phenomenology a new arrangement for knowledge as a result of our experience in the lived world. The reflections presented here aim to take us to the amazement, the unthinking, whom many still impose epistemological challenges, including understanding the body of knowledge and sensitive

Trajetória de vida de mulheres mastectomizadas integrantes de um grupo de auto ajuda a luz da História Oral

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Razão e Fé: estudo do grupo de oração como prática complementar na promoção à saúde

The World Health Organization (WHO) has given special attention to therapeutic procedures other than those practiced in conventional therapy, including homeopathy, phytotherapy, spiritual therapies and prayers, making possible the transition from a mere medicalizating model to a holistic view of the human being. This trend, earmarked in 1978 at the Alma-Ata Conference, questions the ability of technological and specialized medicine to solve the health problems of humankind. In Brazil, the onset of the Brazilian unified health system in 1988, introduced changes in the population s health care model where, within the scope of basic care, emphasis has been given to the Family Health Program since 1994. In this scenery, there is a broad area of complementary practices used in promoting health and preventing and treating diseases to support an understanding of the habits and beliefs underpinning popular practices. The purpose of this study was to analyze the perception users participating in the Peace and Balance group of the Family Health Unit of Nova Cidade, in Natal, Rio Grande do Norte, started in 1999, have of the relationship between the experience of prayer and the changes that may have taken place in their lives after joining the group. It is a case study of descriptive nature and qualitative approach. The data were collected during focus group interviews between January and February 2007, using as tools a questionnaire to describe the research participants and a discussion outline. The theoretical support approached the following: religion and the evolution of thought; complementary health practices; and religion as a complementary health practice. Those interviewed reported, as results of such experience, a reduction in stress and depression, an increase in socialization and self-esteem, improved family interaction, comfort, safety, assurance, improved blood pressure levels and a decrease in the use of antihypertension medication and psychopharmacs. Although most professionals do not consider attention to the religious and spiritual aspects an effective therapeutical complement in health care, its understanding and practice may democratize knowledge and relationships, out of which they can learn how to make health production more effective, strengthening assurance and confidence, and developing and expanding soft technologies aimed at health care promotion and wholeness

Argamassas do grupo escolar Augusto Severo/RN: caracterização e incidência de manifestações patológicas

The search for cultural heritage preservation should be a constant, in order to minimize the lost of historical and cultural identity of a country. As part of this cultural heritage, highlights the importance of historical buildings. For the principles of restoration are met its important to know the state of conservation and the existing materials. Given the above, this work aims to study the pathological manifestations of the mortar coating from the Grupo Escolar Augusto Severo. For this, was conducted historical survey of the building, on-site visits with visual observation, collecting samples of mortar coating and characterization through visual and laboratory analysis, XRF, XRD, TG/DTG, OM and SEM-EDS. From the observations, pathological manifestations were found as: cracks, detachment of the coating, dirt, use of inappropriate material basis of cement, efflorescence, mold and mildew and also incompatible material base of cement. It was found that the pathological manifestations were intensified due to lack of coverage in some spots and especially the abandonment of the building, that many years does not have restoration or any other type of preventive and corrective maintenance. The results of laboratory tests indicated that the mortars studied are based on lime, with calcitic nature, and siliceous aggregate, with the presence of clay in two samples. From the samples collected, two are composed of lime, sand and clay and two by lime and sand. In this regard, it is important to conduct periodic inspections and maintenance, as well as carrying out restoration with use of material compatible with the original

Busca heurística através de algoritmo genético e memético com construção de vocábulos para o problema de atribuição de localidades a anéis Sonet

Telecommunications play a key role in contemporary society. However, as new technologies are put into the market, it also grows the demanding for new products and services that depend on the offered infrastructure, making the problems of planning telecommunications networks, despite the advances in technology, increasingly larger and complex. However, many of these problems can be formulated as models of combinatorial optimization, and the use of heuristic algorithms can help solving these issues in the planning phase. In this project it was developed two pure metaheuristic implementations Genetic algorithm (GA) and Memetic Algorithm (MA) plus a third hybrid implementation Memetic Algorithm with Vocabulary Building (MA+VB) for a problem in telecommunications that is known in the literature as Problem SONET Ring Assignment Problem or SRAP. The SRAP arises during the planning stage of the physical network and it consists in the selection of connections between a number of locations (customers) in order to meet a series of restrictions on the lowest possible cost. This problem is NP-hard, so efficient exact algorithms (in polynomial complexity ) are not known and may, indeed, even exist

Avaliação social de empreendimentos agroindustriais :um estudo na carcinicultura

O objetivo desse trabalho foi investigar a contribuição social da atividade econômica denominada de carcinicultura, para o município de Canguaretama no Rio Grande do Norte, a partir da visão dos moradores do citado município, sendo enfocados aspectos ambientais, aspectos de produção, consumo de energia, geração de empregos e renda, e investimentos na área social, para a melhoria de vida da população local. Foi realizada uma pesquisa amostral do tipo Survey com 234 pessoas daquele município de um universo de 27.011 habitantes. Foi escolhido esse município porque o mesmo é um dos principais produtores de camarões no Estado, além de contar com as principais fazendas de criação e laboratórios de melhoramento genético dessa cultura. O instrumento de pesquisa utilizado, foi o questionário com perguntas abertas e fechadas. Resultados mostram que grande maioria declarou pouco conhecimento com relação ao processo produtivo da atividade da carcinicultura e reconheceram como principal benefício da mesma, a geração de empregos. Em termos de associação entre variáveis, não se verificou relacionamento entre as variáveis investigadas do grupo perfil e a variável dependente que expressa a opinião do entrevistado quanto aos benefícios sociais gerados pela atividade. Ou seja, em termos de gênero, não há diferença de percepção entre homens e mulheres sobre os benefícios sociais advindos da carcinicultura. De forma análoga, não se observa diferença de percepção sobre os benefícios sociais da atividade entre as diferentes faixas de escolaridade, idade e renda familiar da população entrevistada

Algoritmo Q-learning como estratégia de exploração e/ou explotação para metaheurísticas GRASP e algoritmo genético

Techniques of optimization known as metaheuristics have achieved success in the resolution of many problems classified as NP-Hard. These methods use non deterministic approaches that reach very good solutions which, however, don t guarantee the determination of the global optimum. Beyond the inherent difficulties related to the complexity that characterizes the optimization problems, the metaheuristics still face the dilemma of xploration/exploitation, which consists of choosing between a greedy search and a wider exploration of the solution space. A way to guide such algorithms during the searching of better solutions is supplying them with more knowledge of the problem through the use of a intelligent agent, able to recognize promising regions and also identify when they should diversify the direction of the search. This way, this work proposes the use of Reinforcement Learning technique - Q-learning Algorithm - as exploration/exploitation strategy for the metaheuristics GRASP (Greedy Randomized Adaptive Search Procedure) and Genetic Algorithm. The GRASP metaheuristic uses Q-learning instead of the traditional greedy-random algorithm in the construction phase. This replacement has the purpose of improving the quality of the initial solutions that are used in the local search phase of the GRASP, and also provides for the metaheuristic an adaptive memory mechanism that allows the reuse of good previous decisions and also avoids the repetition of bad decisions. In the Genetic Algorithm, the Q-learning algorithm was used to generate an initial population of high fitness, and after a determined number of generations, where the rate of diversity of the population is less than a certain limit L, it also was applied to supply one of the parents to be used in the genetic crossover operator. Another significant change in the hybrid genetic algorithm is the proposal of a mutually interactive cooperation process between the genetic operators and the Q-learning algorithm. In this interactive/cooperative process, the Q-learning algorithm receives an additional update in the matrix of Q-values based on the current best solution of the Genetic Algorithm. The computational experiments presented in this thesis compares the results obtained with the implementation of traditional versions of GRASP metaheuristic and Genetic Algorithm, with those obtained using the proposed hybrid methods. Both algorithms had been applied successfully to the symmetrical Traveling Salesman Problem, which was modeled as a Markov decision process

Análise comparativa do desempenho de um Controlador Fuzzy acoplado a um PID Neural sintonizado por um Algoritmo Genético com Controladores Inteligentes Convencionais

On this paper, it is made a comparative analysis among a controller fuzzy coupled to a PID neural adjusted by an AGwith several traditional control techniques, all of them applied in a system of tanks (I model of 2nd order non lineal). With the objective of making possible the techniques involved in the comparative analysis and to validate the control to be compared, simulations were accomplished of some control techniques (conventional PID adjusted by GA, Neural PID (PIDN) adjusted by GA, Fuzzy PI, two Fuzzy attached to a PID Neural adjusted by GA and Fuzzy MISO (3 inputs) attached to a PIDN adjusted by GA) to have some comparative effects with the considered controller. After doing, all the tests, some control structures were elected from all the tested techniques on the simulating stage (conventional PID adjusted by GA, Fuzzy PI, two Fuzzy attached to a PIDN adjusted by GA and Fuzzy MISO (3 inputs) attached to a PIDN adjusted by GA), to be implemented at the real system of tanks. These two kinds of operation, both the simulated and the real, were very important to achieve a solid basement in order to establish the comparisons and the possible validations show by the results

Otimização de modelos de predição da perda de propagação aplicáveis em 3,5GHZ utilizando algoritmos genéticos

The telecommunications industry has experienced recent changes, due to increasing quest for access to digital services for data, video and multimedia, especially using the mobile phone networks. Recently in Brazil, mobile operators are upgrading their networks to third generations systems (3G) providing to users broadband services such as video conferencing, Internet, digital TV and more. These new networks that provides mobility and high data rates has allowed the development of new market concepts. Currently the market is focused on the expansion of WiMAX technology, which is gaining increasingly the market for mobile voice and data. In Brazil, the commercial interest for this technology appears to the first award of licenses in the 3.5 GHz band. In February 2003 ANATEL held the 003/2002/SPV-ANATEL bidding, where it offered blocks of frequencies in the range of 3.5 GHz. The enterprises who purchased blocks of frequency were: Embratel, Brazil Telecom (Vant), Grupo Sinos, Neovia and WKVE, each one with operations spread in some regions of Brazil. For this and other wireless communications systems are implemented effectively, many efforts have been invested in attempts to developing simulation methods for coverage prediction that is close to reality as much as possible so that they may become believers and indispensable tools to design wireless communications systems. In this work wasm developed a genetic algorithm (GA's) that is able to optimize the models for predicting propagation loss at applicable frequency range of 3.5 GHz, thus enabling an estimate of the signal closer to reality to avoid significant errors in planning and implementation a system of wireless communication