Elaboração e aplicação de uma sequência de atividades para o ensino da trigonometria numa abordagem histórica

The present work aims to report the construction of a workbook for teaching trigonometry focusing the possible mix between the historical approach to the teaching of mathematics and the professional master´s degree. For this, considerations about the history of mathematics as a teaching methodology, the education of the math teacher who will teach trigonometry and also about the course of elaboration and experimentation of the activities in the workbook were made (using the methodological strategy of action research). Finally, the workbook for the teaching of trigonometry in a historical approach is presented as an example of the above mentioned mix between the history of mathematics, mathematical school content and the professional master´s degree

Formação continuada de professores que ensinam matemática: o papel do ábaco na ressignificação da prática pedagógica

The present dissertation performs a study about abacus part on the continuous education of Elementary School s Mathematic teachers on what concerns the basic operations of addition and subtraction with (re)unification by using the manipulative and/or informatical abacus. Therefore, the research intends to answer the following question: How does a teacher reframe the pedagogical practice while teaching the Decimal Numeral System and the conventional operations of addition and subtraction with (re)unification through manipulative and informatical abacus? In order to do so, we rely ourselves on the Guy Brousseau s Theory of Didactic Situations (TDS) from 1996 that affirms the necessity to trace a way in accordance with the teaching situations that lead the student s learning; and on the work of Pierre Lévy (1993), in which the poles of communication oral, written and virtual create three ways of communication through which the learning process happens. The methodology of this paper was based on the Strategic Research-Action of Franco (2005). The didactic sequence was elaborated in accordance with TDS and used the manipulative and informatical abacus as didactic resource. With the application of the didactic sequence, it was verified that the continued formation of Elementary School s teachers concerning the operations of addition and subtraction on the initial years/levels is pertinent once it has been observed some difficulties of the teachers concerning this mathematical subject. Besides, the analysis of the didactic sequence has allowed one to realize that teachers had some difficulties concerning the numeric representation with order zero, the resolution of operations of addition and subtraction using the manipulative and informatical abacus and the realization of (re)unification on the subtraction with meaning. These observations has been discussed with the teachers and, after that, it has been done some didactic-methodological routings of the operations of addition and subtraction with re(unification) that contributes with the teaching and learning process.

Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica

This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal positional numbering system Arabic. This is on the assumption that the comparison with a system different from our own might provide a better understanding of our own numbering system, but also help in the process of arithmetic operations of addition, subtraction and multiplication, since it will force us to think in ways that are not routinely object of our attention. The systems covered in the study were the Egyptian hieroglyphic system of numbering, the numbering system Greek alphabet and Roman numbering system, always compared to our numbering system. The following teachung is presented structured in the form of our activities, so-called exercise set and common tasks around a former same numbering system. In its final stage of preparation, the sequence with the participation of 26 primary school teachers of basic education

Geometria e arirmética numa visão multicultural: uma experiência pedagógica

This paper aims to build a notebook of activities that can help the teacher of elementary school mathematics. Topics covered are arithmetic and geometry and the activities proposed here were developed aiming print them a multicultural character. We take as a base line developed by Claudia Zaslavsky multiculturalism and reflected in his books "Games and activities worldwide" and "More games and activities worldwide." We structure our work around four themes: the symbol of the Olympic Games, the pyramids of Egypt, the Russian abacus abacus and Chinese. The first two themes allow you to explore basic concepts of geometry while the latter two themes allow us to explore numerical notation and arithmetic operations

A etnomatemática em uma cerâmica da região do Seridó/RN

This work has as objective to describe mathematical knowledge used as tools in the manufacture and marketing of tiles of red ceramic by potters of the Currais Novos village/ RN, located 250 km from the capital of Rio Grande do Norte. For us to reach our objective, we rely on conceptions ambrosianas of Ethnomatematics, besides of the qualitative research in an ethnographic approach. In the empirical part of the research, that went it accomplishes in the period from 2009 to 2012 in the Currais Novos Village, we support the following tools for data collection, semi-structured interviews, field diary, photographs, audio recordings and participant observations. In the analysis of the collected data, we can conclude that there are mathematical knowledge in the management of manufacture and marketing of tiles, often different from the academic mathematics, mainly in the wood cube, on cube of the clays, in the handler with the measures time, the count method , in the arrangement of tiles, in the preparation of the ceramic mass and sale of tiles. Theses knowledge were described and analyzed in the light of the theoretical Ethnomatematics, also supported in official documents, such as Parameters Nacional Curriculares. The analyzes of these knowledge generated subsidies for elaboration of an educational product - a proposal of didactic sequence destined to the Teaching of Mathematics in Elementary and Middle levels for the community schools and region, this proposal is in the Appendix to this work

A etnomatemática dos trabalhadores das cerâmicas de Russas-Ce e o contexto escolar: delineando recomendações pedagógicas a partir de uma experiência educacional

It is still common among contemporary educational proposals an overemphasis abstraction, to the formalism and symbolism of mathematical knowledge at the expense of the sociocultural aspects of Mathematics. Coming up by questioning some academic mathematical tenets and valuing knowledge developed in different sociocultural contexts within Mathematical Education, the Ethnomatematics is consolidating itself as a research field. Despite its contributions to the educational context, because its philosophical character and the paucity of debates about the subject, the implementation of educational proposals for basic education are scarce. Given this situation, this dissertation comes up with a view to develop an educational intervention in the light of Ethnomathematics in a class of 6th grade of an elementary school from a red ceramic industries workers community, located in a countryside from Russas-CE and from this intervention, to develop a set of pedagogical recommendations aiming basic education teachers. Adopting a perspective of qualitative research, particularly guided by action research, this study used observation, field diary, interviews and activities with students as tools for data collection. It was found that the use of field research as part of teaching and learning favored the placement of students as critical subjects of their own reality . Furthermore, the educational experience culminated in the development of a method of teaching based on a relationship between protocooperational Ethnomatematics and the Resolution of Problems. It is necessary to broaden the debate about the ways in which the Ethnomatematics can contribute to the school context, bringing proposals closer to the reality of basic education teachers in order to help the promotion of an education which values cultural diversity without taking away the students from the access of the academic knowledge

A complexidade do ser fictício: a construção da personagem Marcela no romance A ostra e o vento

It is possible to notice that the modern narrative increasingly seeks to invest its characters with a broad and complex nature, away from the well-defined beings of the traditional narrative. Through this work, we aim to make a study of Marcela, a character of the novel A ostra e o vento, by Moacir Costa Lopes, taking into account the way the complexity of the fictitious being is constituted through an analysis of structural, semantic, and thematic elements. We first will bring up a brief theoretical discussion about the character in a novel, and we also will carefully analyze the diagetic universe, presenting the complex path of the character further. Subsequently, we will focus on the structure of the narrative which creates a complex picture of the character, using the technique of crossed points of view as well as the technique of temporal fragmentation. Finally, we will investigate conflicting social relations that portray Marcela s disturbed inner side, as well as the metaphoric symbolic language, which furnishes a number of different representation of this character, impeding the creation of a well-structured coherent character. Studies of scholars such as Antonio Candido, Anatol Rosenfeld, Vitor Manuel de Aguiar e Silva, Fernando Segolin, Gerard Genette, Michel Zéraffa, among others, will guide our analysis

O império do desentendimento humano: representações da realidade em textos de dalton trevisan

This work has the general proposal of studying the composition of the trevisanian fictional universe, the aesthetic expression engineered to formulate this universe, and last, the representations of reality that emanates from this aesthetic-narrative construction. It seemed to us, however, that it would be impossible to cover, even superficially, so vast and voluminous set of texts as the trevisanian. Therefore, so that we could accomplish this task, and still do it in a way that was, at the same time, plausible and thorough, it was necessary an objective cut within that library. Then we selected a book, representative of the whole trevisanian work, which served as the object of study: Cemitério de Elefantes, 1964, one of the first books of short stories by this author. Within this one, we focused even more our sight, then moving towards what we call a reality forked in paralytic world and world in violence . Supported by the theories and methodologies of Auerbach (2011), Candido (2002, 2006), Adorno (2003), Gennete (1995), Friedman (2002), and still moved by the spirit of Russian Formalism (1973), we built our criticism. Our approach was based then in three steps: first we are dedicated to comment the general context of the trevisanian work, supported strongly by reading two of the biggest critics of his literature, Miguel Sanches Neto and Berta Waldman, secondly, we turn us to comment on the detailed formal construction of language and narrative elements of the trevisanian prose; finally we raised our criticism to the level of reading representations of reality, and then we started to comment the construction of the trevisanian fictional universe, focusing in splitting this universe in paralytic world and world in violence

Do cientista ao ativista: os problemas da ciência do texto e uma solução revolucionaria na obra de Terry Eagleton

The literary critic Terry Eagleton obtained notoriety in academic circles when he was recognized intellectually for his bestselling book Literary Theory: An Introduction. In this book, the English author boldly proposes the end of literature and literary criticism. However, Eagleton proposed years before, in his book Criticism and Ideology (1976), a scientific system of analysis of literary texts, which seemed less radical, both in theory and in method, than in his later theoretical proposal. Based on this, the objective of this dissertation is to present the English literary critic´s initial method, explaining the reasons that led him to abandon his initial project - of develop a method of analysis of the literary text on a Marxist scientific perspective - and to propose, in the following years, in his most famous book and others, a revolutionary vision that would go beyond textual analysis and make literary texts have a practical intervention in society. Finally, we explain what would be his idea of revolutionary criticism

Cidade e identidade: discursividades imagético-espaciais e a construção da identidade espacial do Recife, Veneza Brasileira

This treatise analyzes the identitary setting called Veneza Brasileira (Brazilian Venice) which is subscribed to the discoursive materialization related to the imagetic setting (literary and mediatic) produced about the city of Recife. The main investigation of this research is to examine the way how the identitary setting called Veneza Brasileira has been constructed in the imagetic setting practices about the city of Recife in the nineteenth and twentieth centuries. This study is subscribed to the Applied Linguistics and considers the theoretical perspectives that come from the Cultural Studies which investigation basis is focused on authors such as: Hall (2006); Bauman (1999; 2001;2005); Silva (2000); and Castells (2000) related to the discussion over identity, as well as the discussion over Urban Studies presented in Santos (1997; 1999); Ferrara (1998); and Pesavento (2001). Moreover it is also based on the theoretical basis found in Foucault (2004; 2006; 2007). Furthermore theoretical-methodological approaches rely on the French Discourse Analysis (DA) found in Orlandi (2001); Gregolin (2007); and Courtine (2006). On being so, this treatise aims to: analyze the meaning effects over the production of the identitary setting, especially the so-called Veneza Brasileira, in the imagetic setting discoursive practices (Poems, Post Cards and Touristic Guides) which are produced over the urban setting of the city of Recife. This research is characterized by being qualitative and interpretative and the theoretical analytical approaches contributed to the reading of both poetic and iconic images presented in the excerpts of poems from the nineteenth century and early twentieth century in: Manuel Bandeira s poems, Carlos Pena Filho s poems, and João Cabral de Melo Neto s poems which were produced in the early and late twentieth century. Moreover, this study observed some photographic images in Post Cards and Touristic Guides related to the visiting of historical sites in Recife. One could conclude that the imagetic setting discourse about Recife produced different identitary effects over the so-called Veneza Brasileira along these three centuries: in the nineteenth century, the poetry constructed the utopia city along with the meaning effect of identitary unit; as for the twentieth century, one observed an oscillation between a utopia/heteroutopia city meaning effect of both united and fragmented identity, the latter one is prevalent. As for the twenty-first century, the media reconstructed over again the utopia city, and consequently, produced meaning effect of identitary unit. These same meaning effects of identity either corroborate or contradict to/with the concepts of the postmodernism over identity along these three centuries. In other words, considering the imagetic setting, this oscillation occurs in the proportion of one finds an (ex) inclusion of social agents that construct these same identities.

O mundo criado pelas imagens: paisagens e espaços coloniais na obra do holandês Frans Post

The aims of this dissertation is to study formation of the Dutch view seeing the colonial scenery in screens by Frans Post, as well as, to perceive a colonial world constitution through landscape paintings by him with his natural and human representation. The artist was the first to portray South American views, after he landed in Pernambuco with retinue of Dutch governor of colony, John Maurice, Prince of Nassau-Siegen. Post, by his 24 years old, was designated to represent for Dutch people their colony. The text reflects on visual construction of natural and human aspects in landscapes by Dutchman and how that aspects were included in colonizer imaginary about the strange world of America. European (Dutch) look about their conquered possessions in the New World was charged with exoticism and imagination. In order to understand that view, it`s paramount to study imaginary pictures reared by Frans Post, on his return to the Netherlands, and notions of landscape and exotic, wild and unspoiled nature which the Dutch people had when they thought about the Dutch colony in America. Our principal (visual) sources of research are six paintings: Vista da Sé de Olinda (1662), Vista das ruínas de Olinda (undated), Engenho (undated), Engenho (1660), Vista da cidade Maurícia e do Recife (1653), e Paisagem com rio e tamanduá (1649), all these canvases were painted when Frans Post returned to Europe. We seek to work through a methodology that focuses on investigation of primary visual and textual material, because these textual and pictorial representations reflect the 17th-century colonial view of colonial history themes of the - here called - Dutch America

Paisagem arquitetônica da cidade de João Pessoa/PB e seus significados: o perceptivo dos moradores

This study was conducted in the city of João Pessoa, Paraíba mesoregion Forest. Having to analyze how does the appreciation of the architectural heritage to the visitor and pessoense Capital Paraiba, taking into account the narratives of João Pessoa, and practitioners of foreign tourists of cultural tourism. This research builds on a theoretical foundation on concepts of landscape and place. Was taken as a foundation to Cultural Geography. The research in question is justified by embarking on Geography and Heritage and cast a glance on the geographical cultural landscape, trying to unravel the symbols assigned to the ancient architectural examples, meaning that interfere with power relationships that cross generations, constructing and deconstructing identities, is dispersed or integrating cultures, creating cultural groups and social conflict. It is concluded that the geographical area derives from a number of factors, among them the culture and this in turn will shaping the landscape, reflecting the abstract over the concrete architecture of the oldest to the most current, turning from the material to the immaterial in World Heritage Site

Cultura da representação de arquitetura: concursos de projeto, Brasil 2008-2011

This thesis deepens the issues pointed out in our master's dissertation (2009) and the following texts about architectural projects representation presented in architectural competitions. It aims to identify the representation culture of projects from architectural competitions. Were there common ways to argue among successful architects? Which were them? How extent the various arguments are consistent or what is the discursive coherent? Which interlocutors were privileged in argumentation, the requesting ones or those that evaluate the proposals? To answer these questions, we began from a correlation suggested by TOSTRUP (1999) among some drawings – plans, sections, façades, perspective, details or texts - and emphasized aspects in a project argumentation (place, zoning, environmental comfort, energy efficiency, etc.). On the top of this, we add functions that DURAND (2003) indicates relevant to architectural representations: conception, communication or seduction and execution. Other writers, such as COLLINS (1971), COLLYER (2004), MOON (2005), BANDEIRA (2007), and OXMAN (2008) in different ways, offered us subsidies to relate kinds of architectural representations with specific functions or strategies of persuasion. Thus, for 08 Brazilian competitions, occurred between 2008 – 2011, we analyzed the requests from the brief of the official announcement, the evaluations of the jurors, and the boards of the winning designs – graphical and textual representations. That allowed us to observe a representation culture predominantly based on perspectives and plans, even been articulated in different arguments. This may emphasize since objective aspects as building execution to appeals of mere visual seduction. In what regards to the audience, even when the official announcement resembled to one another, the winners’ argumentation were different, suggesting a possible jury’s privilege as an interlocutor.

Aprendizagem significativa: uma proposta de ensino e aprendizagem da geometria euclidiana espacial no ensino médio

This dissertation is a research based on the Meaningful Learning Theory, with students from the second year of High School, in the city named Capinzal do Norte, state of Maranhão. The pedagogic approach of this research focuses on what to do and how to do so students can better grasp knowledge inherent to the Euclidean Special Geometry in a more meaningful and changing way, also that information may be kept longer in their brain, so it can last longer in the present and future. The methodological strategy adopted was the research-action, followed by the constant observance of a researcher on the matter with the purpose to ensure consistent results, which come from the use of a variety of data collector instruments, such as: Concept Maps, manipulatives, educational softwares and application of evaluative tests, besides the observations made throughout the process of investigation and the diagnosis itself. It is all due to the fact that we rely on the premise that knowledge is assimilated in particular and idiosyncratic ways, which means each and every student learns in different ways and in different periods of time. That is why it is so important to develop diversified methodologies to the same subject. This research adds to the other ones related to the theoretical frameworks of the Meaningful Learning Theory, of Concept Maps, of the use of technology on the educational process and of manipulatives, which purpose is to connect their common dots. This pedagogical intervention also focuses on the construction of the educational orientations with applicability directly on class, directed specially by the Mathematics teacher of the basic education, who might use them during your teaching practice. Such guidelines established here as an educational product aim to follow the Theory's assumptions that serves as basis to this research, thus becoming an educational element with a relevant significance. The results, with which we are faced, proved overwhelming to the proposed objectives in terms of learning, which were evident in the construction of Conceptual Maps, as well as in the use of Concrete Materials, in addition to serving as a motivational element to participating students of research. The results obtained are indeed reliable in terms of learning, considered the expected goals, and made us certain that the way we have approached the subject is consistent with a holistic education and that at the same time values the tiniest details, which are fundamental to all the learning-teaching process.

Produção de sentidos sobre a militância política de mulheres vinculadas ao MST/RN

Studies show that the theme of gender relations within the MST (Rural Landless Workers Movement) has incorporated some feminist guidelines discussions in the set of its speeches and daily practices. Therefore, this study aimed to investigate the production of meanings about the political militancy of women linked to MST in Rio Grande do Norte. The specific objectives sought to identify the continuities and ruptures related to the women's role in the family of the militant women and to investigate the militant’s discursive positioning about their work. The study is configured as a qualitative research, which six women militants linked to the MST at the RN participated. These women occupy the coordination and leadership functions in the movement. We will use a semi-structured interview, initially guided by triggering questions that included, among others, the dimensions: political militancy, family and work as an access tool to the phenomenon. The reports were analyzed from an initial categorization, based on the guiding principles: militancy, family and work, and were based on theoretical perspective of studies about the production of meaning, discursive practices, social psychology and gender studies. The meanings of militancy point to: contribution, hope, recognition, transformation, awareness and fight. The results show that there is always a positivation speech of life, achievements of a formation and about a new place as a woman at stake. These results come justified by the collective investment of struggle, not only for the access to land, but for social rights achievements too. Finally, the MST stands with a discursive agency that contributes to produce in these women not only the way of political participation: but a way to be exercised with collective subjects and their rights.