On E-functions of semisimple Lie groups

We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group G as their expansions into series of special functions that are invariant under the action of the even subgroup of the Weyl group of G. We distinguish two cases of even Weyl groups-one is the direct product of even Weyl groups of simple components of G and the second is the full even Weyl group of G. The problem is rather simple in two dimensions. It is much richer in dimensions greater than two-we describe in detail E-transforms of semisimple Lie groups of rank 3.

O ensino da história e o pensamento reflexivo-crítico da professora no 3º ano do Ensino Fundamental

This collaborative research is a qualitative approach, from historical and cultural perspective, made about a teacher of third grade of basic education in the area of history, in the municipality of Caicó / RN. It has as objective to investigate, in a collaborative action, if the design process of teaching and learning the discipline of history based on the relationship before / after allows the development of critical reflective thinking of the teacher in school practices. The theoretical and methodological approaches are supported in the postulates of Vygotsky (1998), Rubinstein (1973) and Linblinskaia (1979), among others, whose understanding has led us to reflect if the teacher develops the reflective critical-thinking in history discipline classes. The complexity of the study led us to an analysis exercise, using different methodological procedures, such as: bibliographic review of the literature, considering also the literature of the history area, interviews, observation in the classroom, video recordings and reflective sessions, enabling clarify the construction and reconstruction of thought that the teacher had been developing during the process of teaching and learning. The test results point to a dichotomy between theory and practice, and also to a certain fragility in the position of professor in teaching and learning the discipline of history, at the third grade of basic education. The teacher recognizes that she requires a theoretical deepening with more intensity, as a process of continuous training to improve the practice of teaching in history school, though, stating in her speech that her teaching practice is based on critical reflection. However, she presents serious limitations in classroom practices. We conclude that, although she has shown willing to work on a critical perspective of reality, showed also poor change at school practices, starting to reflect about her own actions, pointing her limits and the changes needed that didn t become reality yet. It s necessary a formative process for her. The study therefore showed that even with the sessions and reflective of deepening theoretical studies, the teacher does not change its profile, while maintaining its traditional vision in any pedagogical action. This research recommends the formation of school groups for further studies and discussion on the practices of education in history area from a reflective-critical thought perspective as a mean of personal and professional development

Neospora caninum infection in birds: experimental infections in chicken and embryonated eggs

Neospora caninum causes economical impact in cattle-raising farms since it is implicated as the major cause of bovine abortions. Although infection by the parasite has been widely described in mammals, the role of birds in its life-cycle is still obscure. Therefore, this work aimed to evaluate the infection by N. caninum in different chicken models. Experimental infections were conducted in 7-day-old chicks, laying hens and embryonated eggs, where samples were analysed for parasite burden, IgG antibodies and lesions promoted. Chickens demonstrated an asymptomatic infection, although with seroconversion and systemic replication of the parasite. In laying hens, no signs of vertical transmission were observed. However, embryonated eggs inoculated by the allantoic cavity route demonstrated susceptibility to infection, with mortality rates around 50% independent of the inoculum dose. Additionally, dogs became infected after ingestion of different amounts of inoculated eggs, producing either oocysts or specific IgG antibodies. The results herein presented demonstrate that chickens may be intermediate hosts of N. caninum and that embryonated eggs could be a useful model to study the parasite's biology.

A história local e seu lugar na história: histórias ensinadas em Ceará-Mirim

This Researchis about history education and is directed toward the understanding of teacher practices in schools of the basic education in Ceará-Mirim, a city located in the state of Rio Grande do Norte. Its purpose is to understand the approaching forms of local history in 5ª to 8ª grade classrooms in the light of the recent innovations in the fields of the historiografy and education. The study was done with a view of investigating local history is being taught by teachers, as well as reflecting on the necessary conditions to the accomplishment of a teaching whose know how to make possible to break, on the one hand, with the limits of the narrow `local view`, and, on the other hand, with the globalized view, negating the local particularitities and especifications. Such questions had emerged as the understanding of what local history contents can constitute in a significant component in the production of school historical knowledge in 5ª to 8ª grade classrooms. History education is analyzed, considering the depositions of three teachers of Ceará-Mirim in reagard to its historiography conceptions and history as a school subject. This inquiry is of a qualitative nature and had as a main strategy of data construction from the interviews with the teachers. The analysis indicates the permanence of teacher practices who, even though presenting innovations, bring an implicit value hierarchy where the place or thematic places are not contemplated in the school contents or appear overwhelmed by general history and the Brazilian history, configuring itself as a hierarchical relation to problematic historical ones. Thus the necessity of having historical school knowledge, that considers the local especifications, without, however, ignoring the articulations with other spatial dimensions

Contribuições da investigação em sala de aula para uma aprendizagem das secções cônicas com significado

In this work, the didactical possibilities of investigation use in classroom, through an experience with high school students from Federal Center of Technological Education of Paraíba, as well as the study of conic sections were analysed. In order to fulfill our goals the theoretical conceptions concerning the meaninful learning in conection with the investigation of mathematics history were taken into account. The classroom research occurred by means of activities which encouraged the learner to investigate his own concepts on the conic sections. The results of the proposed activities showed the effectiveness and the efficiency of such a methodology as regards the making up of the required knowledge. They also reveal that the investigation in the classroom guides the ones involved, in this process, to have a wider look at the origins, the methods used and the several representations presented by mathematics that certainly lead, specially the students, to a meaninful learning

Uma caracterização do Centro de Educação Matemática - CEM (1984-1997) como uma Comunidade de prática de formação continuada de professores de matemática

This paper presents some results of a study on the Centre for Mathematics Education (Centro de Educação Matemática, CEM), a group of mathematics educators from the city of São Paulo-SP (Brazil), active mainly during the years 1984 to 1997. To establish a position on the process of identity constitution of CEM, we bring forth the method of Oral History and theories of identity. In this essay, an exercise in constituting the identity of CEM from the characterisation of this community's publications within its practice, we assume that the processes of identity constitution do not refer to what CEM is or was, but rather to a set of possibilities for apprehending it on the basis of strategies and initiatives set in given historical conditions and times. We make explicit three aspects that are present as their practice is converted into a source of coherence (mutual commitment, joint enterprise and shared repertoire), which allow one to reveal actions and production in the history of mathematics teacher education in the metropolitan region of São Paulo.

Entre a Amnésia e a Vontade de nada Esquecer: notas sobre regimes de historicidade e história oral

In this paper we intend to sketch a configuration of the research practices of the Research Group Oral History and Mathematics Education (GHOEM) and, in general terms, to explain some concepts and procedures in which these practices are founded. In order to do this, the expression Regimes of Historicity - meaning the different ways of articulating the notions of present, past and future - is initially mobilized. By this expression we are able to understand the emergence of the discourse that underpins a set of actions and theoretical frameworks for the research in Mathematics Education and more particularly, for the Historiography of Mathematics Education.

O processo de construção do conhecimento histórico para alunos em educação de jovens e adultos: um olhar para as práticas de leitura e escrita

Pós-graduação em Educação - IBRC

História oral e Educação Matemática: um estudo, um grupo, uma compreensão a partir de várias versões

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)