Construção de Conceitos Matemáticos na Educação Básica numa Abordagem Peirceana

Peircean semiotic analysis is employed to examine the construction/representation of signs-thinking of 32 early elementary school students regarding the concept of length measurement. The work consisted of developing concepts of standard unit, reading and interpretation of measurement by instruments, so that the mathematical language presented in the concrete materials was being signified and re-signified as a tool for perception and representation of new concepts. The pedagogical triad Feeling-Perceiving, Relating-Concept (F-P/R/C) co-related with the dynamism of the semiosis process, defined by Charles Sanders Peirce (1839-1914) in his semiotic theory on the production of the sign (Object, Representamen and Interpretant), enabled the interpretation and analysis of the students' inferences in the phase of perception (feel, admire), induction (experience), and deduction (concept).

A festa da urbe e o nascimento da cidade: A Cidade Antiga como prelúdio da modernidade

This work is a result of an research that aims to understand in which way the work The Ancient City of the French historian Fustel de Coulanges built a moral model for the institutions and for the construction of the French territory in the century XIX understood like The Modern City . Our intention is to present a study on the way like the ancient city it was built, when nationalist of century XIX is taking into account his connections with the space reforms and the discussion in France. In this sense, we go besides the works of the historiography of the century XIX on this subject and of the articles and tests of the beginning of the century XX, when urbanity planner tied the narrative Scientifics of Fustel with the discussion in France of this period and his contribution, through this connection between history and space, with the national education of the individuals and the formation of the French identity. In this way, we understand which History, Nation and Space were the bases of sustenance of the theory of Coulanges about The Ancient City and of the formation of the French territory. Besides, the discussion historiography between Frenchmen and Germans on the origins of his respective nations influenced Coulanges the perspective of narrating a history of the Antiquity, taking into account the cultural approach of the past and the modern Institutions

Clarissimo speculo bonitatis Dei : o mundo de Tomás de Celano e a sua leitura de mundus

The aim of this study is to understand the version of St. Francis of Assisi created by Friar Thomas of Celano in his hagiographic works. That study also it examines how the Order of Friars Minor and the Papacy have understood the relationship between Christians and the world and turned thisunderstanding in a version of the Saint. Factors such as the replacement of Neoplatonism byAristotelianism as philosophical paradigm and economic and social changes have contributed to change the interpretation of the biblical mandate to not love the world , no longer interpreted as materiality, but as an order for Christians to flee sin. The rejection of the world was replaced by a greater appreciation of nature and society. Moreover, increasingly, the body went from enemy to friend, becoming the brotherbody. Such analysis is important to review the idea, so common in the historiography of what MaxWeber called Worldly Asceticism, the Christian life lived in society, only emerged in Protestantism in opposition to monasticism. The mendicant orders, especially the minority tried during the thirteenth century, the period of analysis of this work, experience the loving nature of Christianity and acting,through preaching and charity in the cities.To make this work, were analyzed the hagiographic discourse (on San Francisco) made by Thomas of Celano, Vita beati Francisci (called Vita Prima) and Memorial in desideiro anime (named Vita Secunda) and, from this, understand the Celano´s interpretation on how it should be the Christian's relationship with the world. The world ceased to be adistorted reflection of a perfect reality, becoming the perfect reflection of God's goodness.

Em nome(s) dos interesses: imaginários toponímicos do Rio Grande do Norte na Primeira República

This paper has the imaginary names as a theme, from which we aim to analyze the imaginaries and invested interests that characterized the implementation and the legitimation of the First Republic in Rio Grande do Norte (1889 1930), making the process of registering names history in that place. For the construction of our object, we studied laws and provincial, state and municipal decrees; annual messages of governors; articles of the following newspapers O Povo, A República, Diário do Natal, O Seridoense, A Notícia and Jornal das Moças; the local cartography and historiography that talk about the study of names. The use of these resources, allied to the empiric method, was driven by a theoretic methodological contribution based on the history of the political imaginary, as discussed by Cornelius Castoriadis, René Rémond, Michel de Certeau and Maria Dick. For the understanding of the imaginaries that (de)limited the spaces of Rio Grande do Norte concerning its names during the First Republic, we bring moment back to the two last imperial decades moment of cleavage between Empire and Republic essential for the fomentation of the imaginary that embodied the organization of our study. From this period, we observe, through the names of some cities, how the northern space would be aligned to the imaginary dynamic of the new political system of the nation, and it had followed to a redirection process of the giving names action, according to the interests of the family organization Albuquerque Maranhão, revealed while determining the names of cities, towns, streets, schools, buildings, etc., in thankfulness to the memory of its members. In the sequence we verified how a new dynamic of giving names helped to understand the process of political transition from the Coast to the Sertão, and at the same time affirmed the power of the political and economical seridoense elite towards the government of the state in the two last decades of the First Republic

O Sumário das Armadas: guerras, missão e estratégias discursivas na conquista da Paraíba

Las últimas décadas del siglo XVI estuvieron marcadas por una serie de guerras en la región al norte de la capitanía de Itamaracá, que en ese momento representaba el límite septentrional de la colonización portuguesa en las Capitanías del Norte de Brasil. Las fuerzas políticas y militares de la capitanía de Pernambuco y de la própria Itamaracá, misioneros jesuitas, indios, negros y mestizos participaron en varias expediciones militares a la región del rio Paraíba, ganándolo a finales de 1585 y dando la configuración de una nueva capitanía: la capitanía de río Paraíba. Esta era una historia que los sacerdotes de la Compañía de Jesús han escrito con las marcas de heroísmo, de fe y también de fuerza contra los indios y los franceses que se oponían al delantero portugués en esa región, que desde el punto de vista de la historiografía, representa un paso importante en el proceso de conquista y ocupación colonial de la costa noreste de Brasil. Esta tesis es sobre este acontecimiento histórico: sobre los hombres que lucharon en uno y otro lado del río Paraíba, sobre las formas discursivas empleadas en la representación escrita de este evento y sobre la trayectoria histórica del discurso de la conquista, cuando tomado en las modernas prácticas historiográficas

Um Ensaio Sobre História Oral e Educação Matemática: pontuando princípios e procedimentos

Recently, we can perceive an intensification of assignments developed into Mathematical Education with the use of oral history as a research methodology. In this article, facing the living experiences during the preparation of our Phd tasks and later, when we had the role of advisors of scientific papers and of Postgraduate students in their researches also using the same methodology, we discussed the implication of ethics, mathematical education and oral history. Furthermore, we enunciated possibilities of the posture of the researcher before interviews, texts and iconography - photos and several images-provided by collaborators of our projects on Oral history and Mathematical Education.

O sertão virou verso, o verso virou sertão:sertão e sertanejos representados e ressignificados pela Literatura de Cordel (1900-1940)

Backland¹ are not only geographic spaces limited by physically established borders. It is a space composed by events, experiences, behavior, symbology, manners related to how to live and see the world. It is developed from historical processes and layers of discourses that contact each other, compete among themselves, establish agreement, promote consensus which define, resignify and update them over time. The present paper seeks to analyze and discuss the forms in which discourses produced by cordel literature² sold and consumed in popular locations, from backlands to coast cities, during the first four decades of 20th century, represented the environment, habits, moral codes, cultural traits, social types, rites and beliefs, related to northeastern backlands. The paper also aims to investigate the forms on how discourses produced by representations contributed to the constitution of backlands as a space culturally constructed. Poems from the poet and editor João Martins de Athayde will be used to establish dialogues between discourses produced by cordel and others discursive modalities, such as, newspapers, prose literature, painting, texts of memoirists and historiography, about backlands, analyzing how those representations circulated, were consumed and absorbed by backlands and other spaces inhabitants, contacted and agreed with other types of discourse, supporting the establishment of backlands as a space and countryside people as a social type

Contribuições da CADES para a Educação (Matemática) Secundária no Brasil: uma Descrição da Produção Bibliográfica (1953-1971)

The so called Campaign for the Improvement and Diffusion of High School (in Portuguese, CADES) took place between 1953 and 1971, in Brazil. During this period, the Campaign published or helped publish dozens of books, in different teaching areas, and several of them were located by the authors of this article. These books guided high school teachers with respect to curriculum planning, legal aspects and methods of teaching. In this article, we contextualize historically this Campaign and also mention its objectives. We briefly describe some of the books found - especially those related to the teaching of mathematics - in order to open perspectives for future approaches and research that can be done based on this written material. Our main aim is to discuss its orientations and to provide ingredients that enable the construction of considerations related to this perspective of training mathematics teachers during a period when there were few colleges and universities to prepare teachers in Brazil.

Parahyba ou João Pessoa? Um estudo sobre a função social da História

Este trabalho é uma discussão sobre as funções sociais da História e da Memória. Para tanto, foi pensado diante do 80º aniversário da Revolução de 1930, marco da (re)fundação da capital paraibana, pois esta memória e a produção historiográfica a respeito do tema nos é bastante instigante. Falar de João Pessoa, seja da cidade, seja do indivíduo; no que se refere aos episódios de 1930, é tocar em um assunto bastante passional, onde chegar a um consenso é algo extremamente improvável. O objetivo deste trabalho é problematizar as funções sociais da História e suas utilizações, notadamente por meio do nosso objeto de estudo, buscando contribuir para a compreensão de como a memória e a escrita da História são frutos do trabalho constante das sociedades que as engendram. Estudar sobre a produção da memória e da historiografia bem como a função da escrita da História sobre esses episódios, entendendo-os como espaços específicos de disputas, notadamente sobre os embates de memórias nos últimos dez anos, trazendo novas reflexões sobre as funções sociais destas memórias

A Família do tesouro: a monumentalização da família Albuquerque Maranhão e a luta pelo poder no Rio Grande do Norte (1889-1914)

The objective of this study is to discuss the process of building a family monumentalization Albuquerque Maranhão showed that both the traditional historiography of Rio Grande do Norte, represented by Tavares de Lyra, Rocha Pombo e Câmara Cascudo, as reflected in urban areas of Natal. To understand this process, we intend to analyze the production of the aforementioned authors as well as more recent studies, trying to discern or identify an attempt to link them to the family name to the history of Albuquerque Maranhão State, which ended up giving visibility to this group, making it the characters featured in the scenario of local history, investing them with a monumental character. In addition to historical analysis, we observe changes in the urban landscape of the city of Natal in the early twentieth century orchestrated by members of this family, which tied his line to public spaces for a new and modern city. Through this review, we will be able to realize that such practices turned out to be a stage of political disputes between Albuquerque Maranhão and opposition groups who were anxious to remove them both from the center of historical narratives on the Rio Grande do Norte, as well as the political space of the State environment exclusive domain of this group for nearly twenty years

Ser(Tão) Seridó em suas cartografias espaciais

The aim of this work is to analyze the spatial frames of reference of the Seridó a region Iocated in the hinterlands of Rio Grande do Norte state from the following texts: Homens de Outrora (1941), by Manuel Dantas; Seridó (1954), by José Augusto Bezerra de Medeiros; Velhos Costumes do Meu Sertão (1965), by Juvenal Lamartine de Faria; and Sertões do Seridó (1980), by Oswaldo Lamartine de Faria. The historiographical discourse will be investigated as to representations of space and the frames of reference that demarcate it. We highlight the space of 1 as delimited by the subjectivity and significances expressed by each author, considering closely the relation between author, writing and body, either in historiography or in the subjects that give shape to the Seridó region in their writings. The Seridó is particularly framed in the relevant historiography as the hinterland (sertão) space, where the drought is a representation referred to recurrently, and as a space of fight , in which man and nature would be in constant struggle, challenging each other. Spatial frames of reference are then situated between the 1 and notions of hinterland and fight with nature

A participação feminina no movimento estudantil secundarista como espaço de luta política (anos de 1980)

The history of women has been an important thematic in the field of Historiography in recent years. Many History scholars have discussed thematics related to genre, pointing out their relationship and conflicts. These new thematics are also the result of a series of changing in history that bring out new problems, subjects and approaches. Our aim in this work is to analise the experience of women militants inserted into the student secondarist movement (ME) in Rio Grande do Norte in the years of 1980 s. Discussing the concepts of History and Spaces, we try to analise the political spaces of ME through public and private spaces that make part of the student militant life, pointing out the conflicts faced during their standing into the movement. To a better understanding of the ME political overview, we set a summary to point out the reconstruction of the student entities reorganized after the military governments, as well as we picture a general picture of this women s insertion in history. We use the oral source as the main methodological resource to the development of our work

Análise e comparação entre algoritmos de percolação

In this work, we study and compare two percolation algorithms, one of then elaborated by Elias, and the other one by Newman and Ziff, using theorical tools of algorithms complexity and another algorithm that makes an experimental comparation. This work is divided in three chapters. The first one approaches some necessary definitions and theorems to a more formal mathematical study of percolation. The second presents technics that were used for the estimative calculation of the algorithms complexity, are they: worse case, better case e average case. We use the technique of the worse case to estimate the complexity of both algorithms and thus we can compare them. The last chapter shows several characteristics of each one of the algorithms and through the theoretical estimate of the complexity and the comparison between the execution time of the most important part of each one, we can compare these important algorithms that simulate the percolation.