Einstein: física, tecnologia i matemàtiques

"L’any 2005 fou declarat Any Mundial de la Física. Coincideix amb el centenari de publicacions d’Albert Einstein sobre el moviment brownià, sobre els quanta de llum i sobre relativitat especial. Les idees d’Einstein publicades fa un segle van canviar per sempre la manera d’entendre la física..."

Entre Europa i Amèrica Llatina: Adolphe Ferrière i l’Escola Nova a Barcelona

El 1930 Adolphe Ferrière va viatjar durant vuit mesos per Amèrica Llatina, Portugal i Espanya. En el marc del viatge va fer una breu estada de pocs dies a Barcelona, on fou acollit per reconeguts personatges de la pedagogia catalana i va desplegar una intensa activitat pública i privada de visites, entrevistes, conferències i excursions. En el programa d'activitats s'hi compte la conferència d'inauguració del Seminari de Pedagogia de la Universitat de Barcelona, que dirigia Joaquim Xirau. En aquest article s'analitzen els objectius, les motivacions i els resultats del viatge en el context de la pedagogia ginebrina del període d'entreguerres i en el marc de la trajectòria vital i el pensament de Ferrière. A partir de les notes manuscrites del seu Petit Journal podem resseguir l'activitat de Ferrière a Barcelona, copsar les impressions, conèixer les persones amb qui es va relacionar i, en definitiva, endinsar-nos dins el moviment de l'Escola Nova a Barcelona. L'anàlisi de les idees desenvolupades a les conferències és un bon pretext per revisar alguns conceptes claus del pensament educatiu de Ferrière. A més, s'ha reconstruït el text de l’esmentada conferència, amb el títol «La psicologia de l'adolescència», que publiquem a la secció «Documents» d’aquest mateix número de Temps d’Educació.

Le Retour du récit historique à l'ecole primaire: politiques educatives et pratiques courantes

Comment faire évoluer sa pratique professionnelle? Notre proposition s'intéresse à l'activité des professeurs des écoles confrontés à la volonté de l’institution (IO 2008) de renforcer la place du récit dans l'enseignement de l'histoire à l’école aux dépens de la pédagogie du « tout document » (IO 2002). De plus, excepté le lapidaire « par l’usage du récit », aucune précision supplémentaire n'est apportée quant aux modalités. Aussi modifier sa pratique professionnelle est-il problématique lorsque les textes officiels sont aussi peu explicites quant au fond et à la forme

Qu’est-ce qui caractérise une pratique innovante pour l'apprentissage de l'histoire? Quelques réflexions à partir d’expériences de formation initiale en didactique de la discipline

Le rapport entre la recherche en didactique des disciplines scolaires et la notion d’innovation mérite d’être interrogé. Quelles sont en effet les finalités de ladite recherche? Visent-elles en priorité une mise en perspective analytique des programmes et des ressources scolaires? Une meilleure connaissance des pratiques effectives au sein de la classe? Ou bien une meilleure perception des processus qui aboutissent aux apprentissages des élèves? Cherchent-elles à produire des états des lieux substantiels ou à encourager l’innovation et l’évolution des pratiques? Et si c’était le cas, dans quelles perspectives et selon quels critères? En effet, comment définir et identifier une pratique innovante dans la classe? Répondre à ces différentes questions conduit le chercheur, et le praticienchercheur qui intervient dans la formation des enseignants, à orienter ses travaux dans une direction donnée, mais aussi à les situer par rapport à des questions vives qui touchent sa discipline et qui impliquent l’exercice d’une responsabilité sociale au coeur de son expertise, loin de toute velléité de s’enfermer dans une tour d’ivoire

Ut pictura poesis: artes plásticas y literatura: didácticas paralelas

Actualmente, la enseñanza de la historia del arte como disciplina se imparte en las universidades, en la mayoría de los casos, sin tener en cuenta otras manifestaciones artísticas paralelas en el tiempo y en el espacio. Nuestra propuesta, partiendo de una base teórica que relaciona las artes plásticas y la literatura, subraya las similitudes metodológicas del estudio de las dos disciplinas, sus intercambios de terminología, más común desde la literatura hacia la pintura que al revés, y propone una metodología didáctica que facilite y complemente la comprensión de la historia del arte. El objeto de la presente comunicación es demostrar la utilidad de la enseñanza paralela de la historia de la literatura y de la historia del arte, para mejorar la comprensión de la segunda, y establecer una metodología que permita crear conexiones y paralelismos entre ellas. Hay que aclarar que hablamos de la Historia del Arte por un lado y de la Historia de la Literatura por otro, ya que el término “literatura” es amplio y complejo

Perfils. Josefina Matamoros

Entrevista a Josefina Matamoros que ha participat en la presentació del Màster en Gestió del Patrimoni Cultural de la UdG. Dirigeix el Museu d'Art Modern de Ceret. El 1978 va ser una de les impulsores del Centre de Documentació i Animació de la Cultura Catalana de la Vila de Perpinyà (Cedacc). El 1999 va rebre la Creu de Sant Jordi

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

Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

Pelos caminhos das idéias e da existência: a propósito das cartografias de J. T. de Moura Filho

The present study aimed to investigate the intellectual, personal and professional tracjetory of José Tavares de Moura Filho. Civil engineer who devoted him self to cartographic cience, though not a cartographer, and to literature. At 65 years old, already with retirement, he devoted his attention to writing his books and see the world, as he said. There were nine books, five of poetry, prose and short stories, and four of cartographic nature. The published his books independently. He wrote and his wife Elza typed. Once ready, he would seek the graphics, later a publisher, to reproduce his writing. He liked to say he would rather to pay for your books than bay a new car, and did so. Died at age of 82 years, leaving a rich material for the young students, those who read, as he always did by dedicating his books. In order to achieve the objectives of this study, we used as a theoretical some authors dealing with historiography, oral history, intellectual intineraries and history of ideas, as Garnica, Nóvoa, Barros, Bosi, Le Goff among others. From this perspective, we constructed an archeology of ideas and the existence of Moura Filho, to point contributions of the teaching of mathematics from his work

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

O processo de integração em Blaise Pascal

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Um estudo do processo de reconhecimento histórico: o caso de Arthur Cayley

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Pedro Nunes e a distinção de dois tipos de trajetórias na navegação: a linha de rumo e o círculo máximo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Perspectivas históricas da pesquisa operacional

Pós-graduação em Educação Matemática - IGCE