A etnopoética de Iracema: diálogo, ciência e literatura

Literary works are thought provokers that make it possible to access several forms to view the world and reality. They provide diversified points of view and infinite connections. In a particular way, among all the other forms of art expression literature is considered to be the closest to life, once it is able to reconnect all human dimensions emotional, rational, mystic, personal, universal, corporal, historic, mythical. This thesis aims at offering some reflections about the frontiers and bridges between science and literature aiming at understanding the complexity that guides them. It presents a new reading of Iracema novel: Ceará tale of José de Alencar from a meticulous incursion through new ways and natural spaces interwoven by Alencar. It tries to hear the echoes of this indianist novel in the university students today. In a broader context, it creates arguments that question the multiple threadsthat join science and literature so that a science of complexity arises distinguishing but not separating the innumerous narratives about the world. For this purpose, this thesis has as interlocutors: Antonio Candido, Charles P. Snow, Edgar Morin, Emilio Ciurana, Fritjof Capra, George Steiner, Ilya Prigogine, Isabelle Stengers, Roger Chartier, Roland Barthes. The plot presented here does not limit the novel to science, but makes it a rereading of the word, of life, once this is the raw material of books. As a methodological strategy, we rebuilt Iracema´s character trips in a way to update the novel, resulting in the video documentary Iracema ways: the arid and remote interior, the plateau, the sea. Iracema novel and character enhancing dialogs that allow the dichotomy rupture between two cultures (Charles P. Snow), recognizing they are not incommunicable and revealing the core argument of the thesis: Iracema belongs to a complex category. It is a hybrid novel that is far, far away from that bluish plateau in the horizon

Clara Nunes como obra de arte: a epistemologia das ciências humanas a partir da cultura musical

The thesis has its largest array in the reorganization of science that is built from the middle of the last century and its horizon reconnection between scientific culture and humanistic culture, and the dialogue between science, art and literature. This epistemological regeneration view of the scientific paradigm incorporates the poetic language and sociological analysis, and brings out a complex, open and transdisciplinary narrative. To undertake this exercise as interlocutors we have thinkers like Nietzsche, Lévi-Strauss, Edgar Morin and Bruno Latour, to name a few, and as a reference for analyzing the entire artistic production of one of the icons of Brazilian music, Clara Nunes. It is problematized up in this work, through the singer s discography, lyrics and fragments of her biography, the construction of a social character that politicized culture, increased the mestizo consciousness of popular imagery, and exceeded the excessively prosaic narratives of the academic and scientific culture. The central argument of the thesis recognizes a Hybrid Subject Clara Nunes, as indeed is what is expected of the politically engaged intellectual in the 21st century

Ideal Mariano e docência: a identidade feminina da Proposta Educativa Marista

In the teaching history course it s found the female teacher entering, reflecting significantly in the continuous process of her identity redefinitions and reconstruction. This entering brings, even in a silent and not explicit way, the confluence of gender identity to professional identity, in which are present the relations of the proper to female. In the mastership case, these relations are found imbricated in the teaching identity construction and in the translation of this profession as female, based in Virgin Mary, through Mariano ideal diffused by the catholic church. Therefore there is a lanck in educational historiography towards the register of female teachers presence, mainly in male religious institute, the reason of this study, in which we seek to investigate: how to explain that a female identity can give support to a highly male educational project? What relations can we establish between this female identity and the entering of female teachers in Maristas Province Schools of North Brazil? We performed a bibliographic research in Maristas Schools Libraries, of Marista historial, in Recife, of Pontificia Universidade Católica do Paraná (Catholic University), in Curitiba-PR. We searched for support in studies about pedagogy history, of Marista Institute, Catholic Church, Brasilian Education and of Women; Mariologic studies, the referring to Marista Educational Proposal, to feminization and to teaching identity; and feminist theology productions. The empirical research included 10 schools from referred province and Marista Schools from Lisbon Portugal. Through semi-estructured interviews, we interviewed pioneer female teachers, Marista former Brothers and Brothers from those schools, due to their presence and action within the study period and for the concern to save their memories about the theme. The study reveals the particularities of Mariano ideal as female model and teaching, and her presence in Marista Educational Proposal. This study, in a historical approach, aims to contribute to give visibility to the woman in history and teaching construction in Brazil, mainly in religious institutions from male origin

Saberes da pesca: uma arqueologia da ciência da tradição

This essay presents and discusses knowledge obtained through tradition taken as knowledge built along generations, transmitted from mouth to mouth and everyday experiences result of a non-scientific knowledge based on observation and hints given by more experient generations. The referred icon used to develop such a discussion in this essay is fishing. We point out the knoledge which enables the fishermen, among other dominions, to: find out the fish and other animals feeding habits; find their way through by astral influence during night navigation and learn the tide flowing based on the moon cycle. On what comes to fishing knowledge, the research was organized based on a bibliographic study about several ways of fishing in the Northern, Northeastern, Southern and Southestern regions of Brazil. In the Northern and Northeastern regions, the field research was also focused. Having interviews, photographs and films as reference, this part of the research was divided into two parts: the first one situated in the Amazonian Region in na area called Baixo-Tocantins, in the State of Pará where we worked with fishermen in the small towns of Abaetetuba and Igarapé-Miri; and the second one was held in the Northeastern region of Brazil, in the State of Rio Grande do Norte, where we worked with fishermen on the Piató Lake, in the small city of Assú. We tarted discussing based on a descriptive study of the fishing techniques used, aiming to identify them as an ordered activity, differed and classified by knoledge obtained through the years, based on the relationship between man and Nature. Creativity, stimulated by human curiosity, is also discussed and shown as a result of various fishing journeys. The myths, as a component of the fishing world, especially those which describe the relationship between men and waters, also have an outstanding place. At last, two fishing techniques belonging to the research field reference, are also described and analysed under the focus of construction and systematization of the knowledge related to fishing. The theory approach is based on reflection upon the tradition knowledge discussed by Almeida (2001), Balandier (1997), Câmara Cascudo (1957, 2000, 2002) and Claude Lévi-Strauss (1976, 1987 and 1991). The essay is an exercise of knowledge production which defends the "relink" of knowledge, as Edgar Morin suggests when dealing with the sciences of complexity

Olhares sobre a formação do professor de matemática. Imagem da profissão e escrita de si

The main focus of this thesis is the formation of a mathematical teacher at a college institution. The general aim is to describe and to analyze the formation process of a mathematical teacher which is an undergraduate student in Mathematics at the Instituto de Educação Superior Presidente Kennedy IFESP, in Natal-RN. It is based on a qualitative ethnographic approach, and has its theoretical anchorage in the (auto)biographical narratives, the social representative theories, and the mathematical education. The number of participants in this investigation was 12 undergraduate students, which corresponds to 25% of the total number of students. The corpus utilized in our analysis included 48 (auto)biographical essays, 12 (auto)biographies (formation's memories), and 12 contextualization files, besides the research's diary. The sources were obtained from the whole program of studies, i.e. from November 2003 to December 2006. The analysis revealed that the reminiscences of the 12 students' academic trajectory influenced their professional formation, since their images of a mathematical teacher were intrinsically related to the one they had before. These representations were being either demolished or constructed in a network along the assertive image of their profession, changing afterwards the mathematical representation and the teaching way of this discipline. Our study also shows that the beginning of their teacher career was marked by mechanical practices influenced by their old teachers. The (trans)formation of themselves and their teaching practices happened in a smooth way as soon as they increased their knowledgements in Mathematics, and it reflected upon the way they learned mathematics. The writing of their (auto)biographies helped the set up of new knowledgements, leaving to a self-consciousness as well as a self-formation, and contributed for the construction of a new way to see and to live the profession. Therefore, a mathematical teacher, for the undergraduate students of the IFESP involved in this work, is made at the interface of the familiar, academic, and professional context, besides the reflexive writings about the formation path, the way of life and the relationships among them

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

O ensino de matemática no Rio Grande do Norte: trajetória de uma Modernização (1950-1980)

This work aims to describe and analyze the process of the mathematics teacher modernizing in Rio Grande do Norte, in the period from 1950 to 1980. For that, we use as theoretical foundation assumptions of Cultural History and memories of the researchers Maurice Halbwach, Ecléa Bosi and Paul Thompson. As methodological tools, we used bibliographical resources and semi-structured interviews, in order to do a historical reconstruct of the mathematics educational scene of institutions and people who taught mathematics in Rio Grande do Norte, or those who participated in the modernization of the teaching of this subject, recovering their training and its practices in teaching. For the analysis of the bibliographical resources, initially we organized in a systematic way the transcripts of the interviews and documents, which were accumulated during the research, so long our thoughts, returning to the theoretical basis of this research, through questioning of knowledge acquired and that guided the problem of our study. The analysis showed that, important moments to modernize the teaching of mathematics in Rio Grande do Norte happened such: (1) Training Course of Lay Teachers in Rio Grande do Norte, in 1965, (2) Course for Teachers in Normal Schools, in 1971 (3) Satelite Project on Interdisciplinary Advanced Communications (SPIAC) in 1973; (4) Lectures of the teacher Malba Tahan, at Natal, from the end of the 50 s, that could be analyzed through the lessons notes of the teacher Maria Nalva Xavier de Albuquerque and the narrative of teacher Evaldo Rodrigues de Carvalho and (5) Courses of the Campaign for Improvement of Secondary Education and Broadcasting (CISEB). Thereby, the modernization of the school s mathematics teaching in Rio Grande do Norte, in the period from 1950 to 1980, was given mainly by disclosure of the Discovery Method and by the Set Theory contents in Teacher Training Courses

Investigação etnomatemática em contextos indígenas: caminhos para a reorientação da prática pedagógica

From the investigation, analysis, discussion and pondering about the activities developed by the lndians from the Porteira hamlet, members of the Xerente community, in the Tocantins state, we developed an investigative and descriptive study about the reality of this people with the aim of helping in the conceptual formation and in the reorientation of the pedagogical practice of the local teachers. In this sense, the undertaken research involved the teachers, the main representatives and experts in that cultural tradition, in order to investigate how the everyday activities (agriculture, food handling, assets distribution among the community members, etc.) and the cultural tradition (log race, body painting, clan division, Xerente numeration, Indian myths and histories, etc.), may enable the contextualization of the mathematics teaching in the lndian School Srêmtôwê of this hamlet, under a more transversal and globalizing perspective of the local and school knowledge. We based this research in the sociocultural conceptions of knowledge generation proposed by D Ambrosio (1990; 2002); Vergani (2007); Oliveras (1996); Gerdes (1991; 2002); Bishop (1999) e Sebastiani Ferreira (1997; 2004). ln the process of this study we propose some viable ways so that the Indian teachers may reorganize their classroom knowledge and actions, based in the strengthening of their history and culture. The observation of some social practices and knowledge as well as of the Xerente traditions helped us to point some possibilities of projection of a didacticalpedagogical dimension of these activities and practices, in the development of the school mathematical knowledge in this community

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

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

Um estudo sobre a relação entre matemática e religião na obra de Blaise Pascal

The aim of the present study is to investigate the way through which the relations between Mathematics and Religion emerge in the work of Blaise Pascal. This research is justified by the need to deepen these relations, so far little explored if compared to intersection points between Mathematics and other fields of knowledge. The choice for Pascal is given by the fact that he was one of the mathematicians who elaborated best one reflection in the religious field thus provoking contradictory reactions. As a methodology, it is a bibliographical and documental research with analytical-comparative reading of referential texts, among them the Oeuvres complètes de Pascal (1954), Le fonds pascalien à Clermont-Ferrand (2001), Mathematics in a postmodern age: a cristian perspective by Howell & Bradley (2001), Mathematics and the divine: a historical study by Koetsier & Bergmans (2005), the Anais dos Seminários Nacionais de História da Matemática and the Revista Brasileira de História da Matemática. The research involving Pascal's life as a mathematician and his religious experience was made. A wider background in which the subject matter emerges was also researched. Seven categories connected to the relation between mathematics and religion were identified from the reading of texts written by mathematicians and historians of mathematics. As a conclusion, the presence of four of these seven categories was verified in Pascal's work

Saberes e práticas etnomatemáticas na carcinicultura: o caso da Vila de Rego Moleiro-RN

This study addresses issues related to the mathematical knowledge and practices of the workers of carcinoculture (shrimp farming), associating such knowledge and practices to the conceptual aspects and the academic mathematical language. Our central aim was to investigate and discuss such knowledge and practices in order to contribute towards having the members of this group reflect upon their own working practices. The investigation took as reference the ethnographic research approach during observations and interviews, as well as the analysis and interpretation of the existing cultural aspects on the use of Mathematics in the shrimp farmers daily activities, thus composing the four chapters of this dissertation. Initially, the local-regional context was set in the area where the workers of the shrimp farm reside, also describing our methodological options. After that, the kind of work that was carried out is explained through a brief history of the shrimp-farming activity, including a short discussion on the environmental impacts that result as a consequence of shrimp-farming. We then discuss some theoretical and practical aspects of the Ethnomathematics while field of study and research. At that moment, we make a reflection upon the different kinds of Mathematics, especially stressing the kind of Mathematics being taught in Schools and that being put to practice by identifiable cultural groups. With that in mind, we show the investigated knowledge and practices e some possible systematizations accomplished during the study. In the end, we point out some conclusive propositions based on the implications of our study towards the development of an educational process within the local communities, considering a possible use of the results and conclusions of this study in the classroom activities

Compor e educar para descolonizar

Industrialization, accelerated urbanization, increased material wealth, expansion of the consumer society, incentive to competition and environmental degradation represent multiple dimensions of the development existing in Brazil over the last forty years. Upon reflecting about this process, this thesis is based on the understanding that eagerness for development is indicative of the existence of a self-colonized imaginary, as Serge Latouche says, among considerable portions of Brazilian people. Understanding that art creates a deeper and truer knowledge on the essence of the world, according to the comprehension announced by Arthur Schopenhauer, I point out that Brazilian composers, upon seeing beforehand the symptoms of the evil of civilization expressed under the sign of development, spread ideas which poetically decolonize our imaginary. Being convinced that we can and must get out of the line, invent new ways, announce a forbidden knowledge, discuss implausible hypotheses, unfinished ideas, as Maria da Conceição de Almeida states, I present the notion of DESdesenvolvimento as a cognitive operator which potentializes the imaginary decolonization revealed by several songs by Brazilian composers

Pedagogia de projetos e etnomatemática: caminhos e diálogos na zona rural de Mossoró - RN

Teaching Mathematics in a contextualized and significant manner, in the world of the child and the adolescent, requires a solid theoretical and methodological basis on the part of the researcher. The present work found this foundation in two ways: teaching with projects and ethnomathematics. It is understood that these ways have points in common, such as: the real, interdisciplinarity, teaching methods, flexibility in sequencing the curriculum and interactive learning. This makes possible a theoretical cross-fertilization, which is important for the teaching/learning of Mathematics. Those points are merged in the present proposal, making possible new strategies, distinct from those of the Traditional Teaching Methodology and giving raise to an Alternative Teaching Methodology, which is to be lived in the Mathematics classrooms. This work gives a new direction to teaching, going beyond the traditional forms of education by allowing the teaching of Mathematics to become integrated with other school subjects, resulting in significant learning. In order to implement the proposal, it is necessary to form partnerships with teachers, pupils and the whole community, so that the way can be traced by continual dialogue

Uma reavaliação do pensamento lógico de George Boole à luz da história da matemática

The aim of the present study is to reevaluate the logical thought of the English mathematician George Boole (1815 - 1864). Thus, our research centers on the mathematical analysis of logic in the context of the history of mathematics. In order to do so, we present various biographical considerations about Boole in the light of events that happened in the 19th century and their consequences for mathematical production. We briefly describe Boole's innovations in the areas of differential equations and invariant theory and undertake an analysis of Boole's logic, especially as formulated in the book The Mathematical Analysis of Logic, comparing it not only with the traditional Aristotelian logic, but also with modern symbolic logic. We conclude that Boole, as he intended, expanded logic both in terms of its content and also in terms of its methods and formal elaboration. We further conclude that his purpose was the mathematical modeling of deductive reasoning, which led him to present an innovative formalism for logic and, because the different ways it can be interpreted, a new conception of mathematics