História na Educação Matemática – um estudo sobre trabalhos publicados no Brasil nos últimos cinco anos

In this paper we report a study on research in the field of History in Mathematics Education conducted in Brazil in the last five years. We evaluate studies that are theoretical or report experiences on the support found in history that can contribute to the situations of teaching and learning of mathematics, based on the Proceedings of Seminarios Nacionais de Historia da Matematica and Encontros Luso-Brasileiros de Historia da Matematica. Examining the interests, directions and focus of research in the field, we found that the vast majority of studies address specific issues of History of Mathematics, and the number of studies on History in Mathematics Education is still very low. We note that, in the last five years, the arguments in favor of the teaching potential of the History of Mathematics, which is very present in the speech of teachers and managers of public education, has not yet been materialized in experiments or investigations to promote this link effectively.

Limit cycles for singular perturbation problems via inverse integrating factor

In this paper singularly perturbed vector fields Xε defined in ℝ2 are discussed. The main results use the solutions of the linear partial differential equation XεV = div(Xε)V to give conditions for the existence of limit cycles converging to a singular orbit with respect to the Hausdorff distance. © SPM.

Geração de padrões de corte n-grupos para a indústria moveleira

Neste artigo são apresentadas propostas de soluções para o problema de geração de padrões de corte n-grupos para o corte da matéria-prima na indústria moveleira. Este problema NP-difícil aparece em diversos outros processos industriais que incluem o corte de painéis retangulares grandes de tamanho padrão em retângulos menores. O planejamento dos cortes é um aspecto importante do planejamento da produção nestas indústrias, pois efeitos negativos tais como o perda de matériaprima e tempo de preparo da máquina de corte podem ser minimizados, diminuindo assim os custos de produção. É estudada a eficiência de modelos lineares inteiros para resolver o problema do corte guilhotinado bidimensional propostos em [33,34], bem como o seu uso na geração de colunas para o problema de corte de estoque. São usados dados reais de uma fábrica de móveis de pequeno porte característica do pólo moveleiro de Votuporanga/SP. Os resultados obtidos indicam que as estratégias propostas geram perdas dentro dos requisitos exigidos pela fábrica. © SPM.

Educaçãdo matemática na realidade do ciberespaço - Que aspectos ontológicos e científicos se apresentam?

The question that leads this article is What is this virtual space in the on-line mathematics education process? We focus on the question of the real and virtual as issues taken as components of cyberspace. We investigate these notions in the history of philosophy, looking to Granger to find their meaning, to enable us to understand them and fit them into the sphere of Mathematics Education. This theoretical-philosophical article, then, claims that the virtuality of cyberspace is supported by the computer screen, built by the unification of the sciences (mathematics), technology and its applications. Software and the actions taken by Internet users update the capability of these programs in a variety of characteristics and possibilities such as space-time flow interconnections as well as during the mathematics education process.

Finiteness of hermitian levels of some algebras

We characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that all values of the hermitian levels of quaternion algebras with the hat-involution also occur as hermitian levels of D. We give some limits to the levels of the algebra D over some ground field. © Soc. Paran. de Mat.

Estabilización y liberalización económica en el Cono Sur

Incluye Bibliografía

Poblacion, fuerza de trabajo y desarrollo economico en America Latina

Incluye Bibliografía

Deuda externa: ¿por qué nuestros gobiernos no hacen lo obvio?

Examina el proceso de la renegociacion de la deuda externa y la necesidad de instaurar una logica mas compatible con los intereses de los paises latinoamericanos. Expone como condicion necesaria para lograrlo, la capacidad de los liderazgos politicos para presentar a sus pueblos las verdaderas opciones, asi como los costos y riesgos de cada una de ellas.