ALGEBRAIC AND GEOMETRIC THEORY OF THE TOPOLOGICAL RING OF COLOMBEAU GENERALIZED FUNCTIONS

We continue the investigation of the algebraic and topological structure of the algebra of Colombeau generalized functions with the aim of building up the algebraic basis for the theory of these functions. This was started in a previous work of Aragona and Juriaans, where the algebraic and topological structure of the Colombeau generalized numbers were studied. Here, among other important things, we determine completely the minimal primes of (K) over bar and introduce several invariants of the ideals of 9(Q). The main tools we use are the algebraic results obtained by Aragona and Juriaans and the theory of differential calculus on generalized manifolds developed by Aragona and co-workers. The main achievement of the differential calculus is that all classical objects, such as distributions, become Cl-functions. Our purpose is to build an independent and intrinsic theory for Colombeau generalized functions and place them in a wider context.

Polar orthogonal representations of real reductive algebraic groups

We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural theory of polar orthogonal representations of real reductive algebraic groups which slightly generalizes some results of the structural theory of real reductive Lie algebras. (c) 2008 Elsevier Inc. All rights reserved.

Algebraic Bol loops

In this paper, we study the category of algebraic Bol loops over an algebraically closed field of definition. On the one hand, we apply techniques from the theory of algebraic groups in order to prove structural theorems for this category. On the other hand, we present some examples showing that these loops lack some nice properties of algebraic groups; for example, we construct local algebraic Bol loops which are not birationally equivalent to global algebraic loops.

An algebraic theory for generalized Jordan chains and partial signatures in the Lagrangian Grassmannian

We discuss an algebraic theory for generalized Jordan chains and partial signatures, that are invariants associated to sequences of symmetric bilinear forms on a vector space. We introduce an intrinsic notion of partial signatures in the Lagrangian Grassmannian of a symplectic space that does not use local coordinates, and we give a formula for the Maslov index of arbitrary real analytic paths in terms of partial signatures.

Science is Primary - Children Thinking and Learning in theChemistry Laboratory

The goal of primary science education is to foster children’s interest, develop positive science attitudes and promote science process skills development. Learning by playing and discovering provides several opportunities for children to inquiry and understand science based on the first–hand experience. The current research was conducted in the children’s laboratory in Heureka, the Finnish science centre. Young children (aged 7 years) which came from 4 international schools did a set of chemistry experiments in the laboratory. From the results of the cognitive test, the pre-test, the post-test, supported by observation and interview, we could make the conclusion that children enjoyed studying in the laboratory. Chemistry science was interesting and fascinating for young children; no major gender differences were found between boys and girls learning in the science laboratory. Lab work not only encouraged children to explore and investigate science, but also stimulated children’s cognitive development.

Re-thinking bilingualism : challenges of multilingualism and communication in classroom settings

Editors’ preface to the special issue of the journal.

The "reflection protocol" - a way to develop learning and independent thinking?

It is now-a-days more and more common in the academic world to use new forms of “learning-tools”. One of those is the “reflection protocol”, which usually consist of a few pages of freely written text, related to something the students have read. There seems to be a lot of different opinions about the value to use this method. Some teachers and students are enthusiastic and others are rather critical. To write a “reflection protocol” is not in the first place to do a summery, a review, not even to analyze a text. Instead it is about to write down thoughts and questions that comes up as a result of the reading. It is also about doing associations, reflections and to interpret a text and relate this to a theme of some kind. The purpose to use “reflection protocols” is, as we see it, mainly for the student to practice independent thinking from a scientific point of view, but it also gives a possibility to a better understanding of another person’s thinking. This seems to open up for a fruitful dialogue and a way to learn. We will in this paper discuss if that could be the case.

Thinking from the South: brazilian social thought and the case of Euclides da Cunha

The article presents the main ideas of Euclides da Cunha (1866-1909), a famous Brazilian intellectual from the beginning of the twentieth-century. Da Cunha was one of the first writers to provide a proto-sociological account of subaltern people in Brazil. The aim of the article is to review his contributions in the light of contemporary discussions concerning postcolonialism and decolonisation.

Contribuição do design thinking para o processo de inovação de produtos

Este trabalho visa identificar práticas de design thinking (DT), isto é, as abordagens características da disciplina do design para criação de inovações, que possam ser incorporadas ao processo de desenvolvimento de novos produtos (DNP). Cinco dessas práticas – abordagem centrada em pessoas, estilo de trabalho colaborativo, pensar fazendo, visualização e combinação de abordagens divergente e convergente – foram analisadas por meio do estudo de caso em profundidade de três empresas polares: um escritório profissional de design, uma empresa de produtos para cuidados pessoais e um fabricante de ferramentas profissionais. A discussão teórica apoiou-se em autores de DNP e de DT que estudaram a evolução desses campos em gerações de maturidade, trazendo também visões bem recentes que apontam para a relevância das mudanças em curso. Entre os achados da pesquisa, observou-se que o modelo de gestão e a estrutura organizacional – orientada por projetos com times multifuncionais ou por processos com estrutura funcional – tem influência na adoção das práticas de DT. Outro achado, esse menos evidente, mostrou que a forma como a empresa se relaciona com clientes e usuários, guarda semelhança com a forma como trata seus profissionais de DNP. Uma descoberta interessante é a função moderadora do alinhamento de propósitos entre empresa e colaborador, para a adoção dessas práticas. Como contribuição ao campo de estudo, apresenta-se um diagrama de cinco gerações de evolução da oferta de novos produtos (ONP), termo utilizado para incorporar não só os produtos com inovações desenvolvidas e de propriedade da empresa focal, mas também aquelas desenvolvidas pelos próprios usuários e as inovações construídas nas redes sociais e oferecidas pela empresa focal.