Pedagogia da fraternidade ecológica e formação transdisciplinar para um ensino educativo

La séparation entre les deux cultures (Snow, 1995) a battu la compréhension du monde, a influencé l'éducation à tous les niveaux et a fragmenté les êtres humains dans leur façon de penser et de produire des connaissances. L'accumulation des connaissances héritées dès la naissance de la science moderne au XVIIe siècle, n'a pas été suffisantes pour relever les nouveaux défis du monde contemporain (Morin, 2000, 2001, 2002a). Maintenant c est le temps de chercher une nouvelle compréhension du monde et des nouveaux façon de comprendre et résoudre les événements et problèmes de l'âge moderne. La Pédagogie de la fraternité écologique "est défendue et construite à partir d'un point de référence cosmologique nouvelle, basée sur le grand récit de l'univers, et inspirés par la vie fraternelle, l'amour, la poésie et la sagesse de saint François d'Assise (Italie , sec. XII-XIII) et l'expérience des connaissances traditionnelles et la «logique du sensible» (Lévi-Strauss) de Francisco da Silva Lucas, un résident de la communauté de Areia Branca, sur les rives du lac Piató dans la ville de Assu, Rio Grande do Norte. Une épistémologie fondée sur le grand récit de l'Univers rachetera des relations fraternelles entre l'homme et la nature. À partir de ces références j ai elaboré une nouvelle formation pour les éducateurs, «formation interdisciplinaire pour enseigner de l'éducation», dans lequel je développe ce que j'appelle «Architecture transdisciplinaire de savoir pour la formation des enseignants, fondé sur les principes de la complexité et de la transdisciplinarité. Nous comprenons que notre rôle est plus large intégrant l'homme dans l'histoire de l'univers, car le bien de la terre et le bienêtre de la communauté humaine sur terre peut être le point que rejoindra l'enseignement de l'avenir

Adrien-Marie Legendre (1752-1833) e suas obras em Teoria dos Números

The present thesis is an analysis of Adrien-Marie Legendre s works on Number Theory, with a certain emphasis on his 1830 edition of Theory of Numbers. The role played by these works in their historical context and their influence on the development of Number Theory was investigated. A biographic study of Legendre (1752-1833) was undertaken, in which both his personal relations and his scientific productions were related to certain historical elements of the development of both his homeland, France, and the sciences in general, during the 18th and 19th centuries This study revealed notable characteristics of his personality, as well as his attitudes toward his mathematical contemporaries, especially with regard to his seemingly incessant quarrels with Gauss about the priority of various of their scientific discoveries. This is followed by a systematic study of Lagrange s work on Number Theory, including a comparative reading of certain topics, especially that of his renowned law of quadratic reciprocity, with texts of some of his contemporaries. In this way, the dynamics of the evolution of his thought in relation to his semantics, the organization of his demonstrations and his number theoretical discoveries was delimited. Finally, the impact of Legendre s work on Number Theory on the French mathematical community of the time was investigated. This investigation revealed that he not only made substantial contributions to this branch of Mathematics, but also inspired other mathematicians to advance this science even further. This indeed is a fitting legacy for his Theory of Numbers, the first modern text on Higher Arithmetic, on which he labored half his life, producing various editions. Nevertheless, Legendre also received many posthumous honors, including having his name perpetuated on the Trocadéro face of the Eiffel Tower, which contains a list of 72 eminent scientists, and having a street and an alley in Paris named after him

Os artigos de Euler sobre os números amigáveis

Among the many methodological resources that the mathematics teacher can use in the classroom, we can cite the History of Mathematics which has contributed to the development of activities that promotes students curiosity about mathematics and its history. In this regard, the present dissertation aims to translate and analyze, mathematically and historically, the three works of Euler about amicable numbers that were writed during the Eighteenth century with the same title: De numeris amicabilibus. These works, despite being written in 1747 when Euler lived in Berlin, were published in different times and places. The first, published in 1747 in Nova Acta Eruditorum and which received the number E100 in the Eneström index, summarizes the historical context of amicable numbers, mentions the formula 2nxy & 2nz used by his precursors and presents a table containing thirty pairs of amicable numbers. The second work, E152, was published in 1750 in Opuscula varii argument. It is the result of a comprehensive review of Euler s research on amicable numbers which resulted in a catalog containing 61 pairs, a quantity which had never been achieved by any mathematician before Euler. Finally, the third work, E798, which was published in 1849 at the Opera postuma, was probably the first among the three works, to be written by Euler

Elaboração de atividades didáticas para o ensino de matemática a partir de livros antigos: o exemplo do leçons élémentaires de Lagrange

De nombreuses études sur l`utilisation pédagogique de l`histoire des mathématiques viennent a identifier les arguments qui sous-tiennent ces actions éducatives comme une façon d`aborder les mathématiques scolaires afin de mener les élèves à un apprentissage réflexif et significatif des mathématiques. Cherchant a vérifier, de manière pratique, comment ces relations entre histoire des mathématiques et l`enseignement des mathématiques peuvent se matérialiser sous la forme d`activités didactiques, nous avons effectué un sondage sur les oeuvres du mathématicien Joseph Louis Lagrange (1736-1813) et identifié le potentiel d`exploration éducatif, de l`oeuvre Leçons élémentaires sur les mathématiques données a l`École Normale en 1795, de cet mathématicien. L`objectif principal de notre étude était de faire des recherches sur le potentiel d`une oeuvre antique dédié à l`enseignement des mathématiques et de la considérer comme support conceptuel et didactique pour la création d`un modèle d`activités didactiques pour l`enseignement des mathématiques, dans la formation des enseignants de mathématiques et aussi en ce qui concerne l`apprentissage des mathématiques des élèves de l`école primaire. Nous avons fait une lecture, la traduction et l`ajout de notes et commentaires sur le travail et une recherche bibliographique sur la relation entre l`histoire des mathématiques et l`enseignement des mathématiques, de façon a comprendre les aspects conceptuels et didactiques pour l`élaboration d`um module activités didactiques pour l`enseignement des mathématiques basée sur certains chapitres du livre de Lagrange. À cette fin, l`oeuvre a été utilisé comme source primaire et a été étudié sous un fondement théorique appuyer sur les travaux des Institut de recherche sur l`enseignement des mathématiques IREM. Dans le module élaboré, les activités apportent les contenus dans une suite integrée à une logique de classe, à partir de la lecture directe des découpages du texte original, disposés entre les questions et les situations-problémes , historiquement mis en contexte avec la période et associés à des contenus spécifiques. Comme il s`agit d`une recherche basée sur l`exploitation de livres anciens, nous croyons que des modules d`activités basées sur des source primaires peuvent être utilisées comme un matériel pédagogique pour la formation des enseignants de mathématiques ainsi que pour les dernières années de l`école élémentaire, reformulées ou accrues d`autres questions telles l`intérêt de chaque enseignant qui l`utilise

Gregório de Matos: do barroco à antropofagia

The exponential figure of Gregório de Matos e Guerra has been subject of many theoretical discussions through the years, since his apparition in a public place, in the 19th century, and even more, during the 20th century, when he was salvaged by the modernist vanguard. As a result, there are yet two antagonist points of view linked to Gregório de Matos, on one side, there some researchers who defend him, on the other, some of them attack him. The first ones say this poet from Bahia was the first literary voice in Brazil, from the Baroque basis, while the last ones say he is a merely plagiarist of the Spanish poets from the 17th century, without a real contribution to the development of Brazilian Literature. With this in mind, this thesis follows the perspective this poet is an anthropophagus-baroque, devouring cultures, with an active participation in the process of our cultural and literary identity. For that reason, it was made a literature review about the biography of this poet trying to break romantic descriptions, emphasizing some scientific facts that can contribute to present the baroque profile of this poet. In this sense, it was discussed the History of Literature focused on this creole poet, mainly based on the historians point of view about the Gregorian poetry in the formation of Brazilian Literature scenery. In the defense of the hypothesis that Gregório de Matos was our first anthropophagus, this work aims to analyze how his poetry reveals the intrinsic characteristics of Baroque and Anthropophagy, focusing its carnivalesque aspect, showing to the world, with a satiric tone, the idiosyncrasies of human life. In this way, analyzing this corpus in Spanish is the strength of this thesis because, besides it is previously unpublished, it contributes to the comprehension of the anthropophagy as a theoretical mechanism that explains the process of formation of our cultural literary identity. Then, we have Augusto de Campos (1968; 1978; 1984; 1986; 1988), Haroldo de Campos (1976; 2010a; 2010b; 2011), Severo Sarduy ([1988?]), Oswald de Andrade (1945; 1978; 2006), Mikhail Bakhtin (2010), Octavio Paz (1979), Segismundo Spina (1980; 1995; 2008), Afrânio Coutinho (1986a; 1986b; 1994), Affonso Ávila (1994; 1997; 2004; 2008), among others, to constitute this theoretical scenery. The Gregorian poetry, in this way, have contributed to the formation of baroque-anthropophagic scenery in Brazilian boundaries, with a special attention to the transition of time, because he is not only from the 17th century, established by the historiography, but his work is present nowadays due to the contemporaneously of his themes, centered to the eternal doubts of baroque man

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

O padre, o filósofo e o profeta : a América de Simão de Vasconcelos

To build an Portuguese America, after discovering at the beginning of XVI century, the Europeans used the physic, politic colonization and also a space ideological domain using write texts, chronicles, and started making a conceive America that was more European than American. One of those chronicles was the Society of Jesus Chronicle written by father Simão de Vasconcelos, a Jesuit. So our object is recognizing in this chronicle the ways that this father had imagined the America. We are looking to answer how the Jesuit use some references to Classic Antiquity (meanly Aristotle and Samuel) because how this action until happen in the Renascence (XVII century) the intellectual production certainly involve renascent topoi. To get this we used some authors that study Intellectual/ Cultural History like Burckhardt e Ginzburg and some authors from Speech Analyses like Certeau and Foucault, to, in the end, can understand how Simão de Vasconcelos created his Brazil

Uma narrativa sobre a formação de professores de matemática em Goiás

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

O Doutorado em matemática no Brasil: um estudo histórico documentado (1842 a 1937)

Pós-graduação em Educação Matemática - IGCE

Um olhar sobre as contribuições do professor Nelson Onuchic para o desenvolvimento da matemática no Brasil

Pós-graduação em Educação Matemática - IGCE

A história da origem da curva normal

Pós-graduação em Educação Matemática - IGCE

Primeiro Colóquio Brasileiro de Matemática: identificação de um registro e pequenas biografias de seus participantes

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Perspectivas históricas da pesquisa operacional

Pós-graduação em Educação Matemática - IGCE

As origens da teoria dos invariantes na Inglaterra e o Mécanique Analytique de Lagrange (1788)

Pós-graduação em Educação Matemática - IGCE

Sociedade de Matemática de São Paulo: um estudo histórico-institucional

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)