Geometrias não-eucludianas como anomalias: implicações para o ensino de geometria e medidas

This present research the aim to show to the reader the Geometry non-Euclidean while anomaly indicating the pedagogical implications and then propose a sequence of activities, divided into three blocks which show the relationship of Euclidean geometry with non-Euclidean, taking the Euclidean with respect to analysis of the anomaly in non-Euclidean. PPGECNM is tied to the line of research of History, Philosophy and Sociology of Science in the Teaching of Natural Sciences and Mathematics. Treat so on Euclid of Alexandria, his most famous work The Elements and moreover, emphasize the Fifth Postulate of Euclid, particularly the difficulties (which lasted several centuries) that mathematicians have to understand him. Until the eighteenth century, three mathematicians: Lobachevsky (1793 - 1856), Bolyai (1775 - 1856) and Gauss (1777-1855) was convinced that this axiom was correct and that there was another geometry (anomalous) as consistent as the Euclid, but that did not adapt into their parameters. It is attributed to the emergence of these three non-Euclidean geometry. For the course methodology we started with some bibliographical definitions about anomalies, after we ve featured so that our definition are better understood by the readers and then only deal geometries non-Euclidean (Hyperbolic Geometry, Spherical Geometry and Taxicab Geometry) confronting them with the Euclidean to analyze the anomalies existing in non-Euclidean geometries and observe its importance to the teaching. After this characterization follows the empirical part of the proposal which consisted the application of three blocks of activities in search of pedagogical implications of anomaly. The first on parallel lines, the second on study of triangles and the third on the shortest distance between two points. These blocks offer a work with basic elements of geometry from a historical and investigative study of geometries non-Euclidean while anomaly so the concept is understood along with it s properties without necessarily be linked to the image of the geometric elements and thus expanding or adapting to other references. For example, the block applied on the second day of activities that provides extend the result of the sum of the internal angles of any triangle, to realize that is not always 180° (only when Euclid is a reference that this conclusion can be drawn)

Método e sociologia em Weber: alguns conceitos fundamentais

Os parâmetros de análise social fornecidos pelos fundamentos da obra weberiana apontam algumas determinações necessárias à análise de fenômenos sociais. Defendendo uma sociologia capaz de compreender os sentidos e conexões presentes nas ações sociais, Weber propõe uma concepção específica de método e de objeto na sociologia, que se assenta na explicação de ações sociais individuais, sob condições determinadas, e busca, ao mesmo tempo, explicitar as significações das instituições sociais, nas quais os indivíduos agem, como resultantes também da ação humana. A partir de tais idéias, o breve ensaio ora apresentado, propõe-se a debater alguns elementos trabalhados nos conceitos weberianos de método e sociologia

In memory of Pedro Vuskovic

For those of us who shared many years of friendship and professional collaboration with Pedro Vuskovic, the news of his recent death in Mexico has been the cause of great sorrow, not only because of the circumstances of his death, following a cruel disease that gradually sapped his physical -but not intellectual- strength, but also because it signifies the loss of a great Latin American, of a teacher who helped shape so many generations of young people in our region, and of a companion during so many days of intellectual strivings and political struggle. Pedro joined the Commission in 1950, shortly after its birth as an institution. For nearly 20 years he served it brilliantly in a professional capacity, with his career in ECLAC culminating in the position of Director of the Development Division. He played a crucial role in structuring and disseminating the thinking of ECLAC during a time when the very air teemed with the ideas and concerns of a pleiad of gifted economists and social scientists. These were the post-war years, the 1950s and 1960s, when we all had to "construct" Latin America. Pedro Vuskovic laid many of the bricks in that collective theoretical and political edifice which has been of such importance to the countries of the region. Concurrently, he served as a professor in ECLAC and ILPES training programmes while at the same time teaching classes at the schools of economics and sociology at the University of Chile and the School of Economics at the University of Concepción. When he left ECLAC, Pedro plunged wholeheartedly into the academic world, serving as the Director of the Institute of Economics of the University of Chile, and then went on to claim a position at the forefront of Chilean politics. In November 1970 he was named Minister of Economic Affairs by President Salvador Allende and in June 1972, took over the cabinet-level position of Executive Vice President of the Production Development Corporation (CORFO);, where he served until September 1973. When political events carried him into exile in Mexico, which generously welcomed him as it did so many other Latin Americans who faced similar problems, Pedro carried on his valuable academic work, first at the Economic Research and Teaching Centre (CIDE);, where he directed the Institute of Economic Studies of Latin America, and later at the Centre for Interdisciplinary Research in the Humanities at the National University of Mexico (UNAM);, where he was named to the position of Coordinator for a programme on poverty and development options in various countries of Latin America. Although he will be remembered for his important political role, Pedro's work as a scholar and as an economist deserve special mention. He was a brilliant speaker, at the same time both methodical and incisive, who mastered his subjects with great wisdom and intellectual breadth, and he derived a special joy from being with young people, from providing them with intellectual stimulation and receiving it from them in turn. The many generations of Latin American students who were fortunate enough to have him as a teacher can attest to this. Pedro Vuskovic brought to his work as a researcher and teacher a deep sense of political and social responsibility which moved him to espouse the cause of Latin America 's poor and dispossessed, whose position he had come to understand very early on in his life through the many studies he carried out in this area while at ECLAC. He was tenacious in upholding his ideas and principles, he lived in accordance with them, and he championed them in all the forums open to him, in both the political and academic worlds, to the end of his days. His friends and colleagues also remember his geniality, his sense of humour and great personal warmth -traits which were coupled with an unshakable loyalty to his principles and values. Our farewell is deeply felt; Pedro Vuskovic has left us a legacy of memories and lessons that we will always hold close to our hearts. On behalf of his friends and colleagues, Jacobo Schatan, former Director of the Joint ECLAC/FAO, Agriculture Division

Bioética-sociobiologia. Neologismos oportunos? Interface da tecnociência com as ciências humanas e sociais

The article focuses on the creation of the neologisms Bioethics and Sociobiology, analyzing these two words which due to their composition evoke relations between biological sciences and human studies (ethics and sociology). Highlights that these two neologisms, in fact, were born already loaded by deep meanings, but in different senses. Emphasizes the importance of bioethics in the integration of scientific and humanistic cultures, beyond university statuary regulations. Concludes that Bioethics conveys also a suggestive message about how to create mechanisms and conditions for facing the challenges which scientific advancements, in their inexorability, present.

Políticas públicas e direitos humanos em Jürgen Habermas

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A contribuição do pensamento de Rousseau na construção da antropologia como disciplina acadêmica no século XIX

Pós-graduação em Ciências Sociais - FFC

Jornalismo cultural: os valores-notícia do caderno Prosa & Verso

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Amélia é quem era mulher de verdade?: mulheres pobres e a construção de uma Nova Marília (1980-2004)

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

Considerações sobre os aspectos cinemáticos e dinâmicos do movimento

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Transformação de hábitos e sustentabilidade: a evolução de interpretantes na (auto) construção da cidade

Pós-graduação em Filosofia - FFC

Olhares de “crianças” sobre gênero, sexualidade e infância

Pós-graduação em Educação - FCT

O ‘caso Ferréz’: um estudo sobre a nova literatura marginal

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

Estudo etnobotânico nas comunidades de Porto Limão, Porto Alambrado e Campo Alegre, na fronteira Brasil-Bolívia, Mato Grosso Brasil

Pós-graduação em Ciências Biológicas (Biologia Vegetal) - IBRC

O expansionismo católico na Bembalândia, 1891-1937: as práticas religiosas dos Missionários da África desenvolvidas no Vicariato Apostólico do Niassa

Pós-graduação em Ciências Sociais - FFC

Antropologia e direito: a justiça como possibilidade antropológica

Pós-graduação em Ciências Sociais - FFC