Equilibria in security markets with a continuum of agents

We prove the existence of a competitive equilibrium for exchange economies with a measure space of agents and for which the commodity space is ` p, 1 < p < +∞. A vector x = (xn) in ` p may be interpreted as a security which promises to deliver xn units of numeraire at state (or date) n. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras equivalence were established in Rustichini–Yannelis [21] and Podczeck [20]. In this paper we prove that under similar assumptions on marginal rates of substitution, the set of competitive equilibria (and thus the core) is non-empty.

The Development of Science Education Research in Brazil and Contributions from the History and Philosophy of Science

Over the last 50 years a new research area, science education research, has arisen and undergone singular development worldwide. In the specific case of Brazil, research in science education first appeared systematically 40 years ago, as a consequence of an overall renovation in the field of science education. This evolution was also related to the political events taking place in the country. We will use the theoretical work of Rene Kaes on the development of groups and institutions as a basis for our discussion of the most important aspects that have helped the area of science education research develop into an institution and kept it operating as such. The growth of this area of research can be divided into three phases: The first was related to its beginning and early configurations; the second consisted of a process of consolidation of this institution; and the third consists of more recent developments, characterised by a multiplicity of research lines and corresponding challenges to be faced. In particular, we will analyse the special contributions to this study gleaned from the field known as the history and philosophy of science.

Environmental education and the health risk question: how do we educate the educators working with this theme?

Our society is presently seeing a trend of continuous increase of risk with severe consequences, especially those linked to environmental aspects. It has obligated us to reflect on this production and its effects, either positive or negative, and, after a long reflection, to think about the adopted model of civilization and the possibilities of changing such a model. The educational institution is among the social departments responsible for this revision process, since it represents one possibility to promote a more critical vision from society, providing it with tools needed for a more responsible action. However, schools are dominated by a traditional work, which does not allow for enough and proper attention to these relevant and current questions, and which involve a critical analysis of the conceptions and values established by our civilization, resulting in the present patterns of science-technology-society relations and their influence on the environment and health. Several research works have indicated a diversity of barriers that obstruct this necessary change. Since formal education plays an important role in the education of society for this theme, in this paper the possibilities and difficulty dealing with this problem are discussed, focusing on the question of teacher education, based on investigations related to teacher education programs for environmental education. The data collected show the urgency for introducing this theme in teacher training programs, taking into account the fact that educators have their own conceptions, values and attitudes that should be considered in these programs.

The wood for the civil engineering: A proposal of distance education

The majority of the Brazilian schools of Civil Engineering have taught the subject works with wood in the traditional only by disciplines of Metallic Structures and Wood at a topic in the content of the program on disciplines at the Materials of Civil Construction. To extend of the wood studies is being made possible that all the pupils have a wider understanding of this material and its adapted use is the goal of the proposal, that by the means of the education modality e-learning, disclosing the first one: Module I - Introduction to the Study of the Wood. This methodology tries to use the theoretical beddings in projects that are related to the pupil daily tasks and its practical professional. The article presents the theoretical bases of the conception proposal and its structure, and at the conclusions, the problems found during its application are displayed. Basically, the methodology considers that the professor and the pupil must share the learning, and adopt it as main in the interdisciplinary.

Dynamics of change of mathematics education in Brazil and a scenario of current research

Mathematics education in Brazil, if we consider what one may call the scientific phase, is about 30 years old. The papers for this special issue focus mainly on this period. During these years, many trends have emerged in mathematics education to address the complex problems facing Brazilian society. However, most Brazilian mathematics educators feel that the separation of research into trends is a theoretical idealization that does not respond to the dynamics of the problems we face. We raise the conjecture that the complexity of Brazilian society, where pockets of wealth coexist with the most shocking poverty, has contributed to the adoption and generation of different strands in mathematics education, crossing the boundaries between trends. At a more micro level, we also raise the conjecture that Brazilian trends in research are interwoven because of the way that Brazilian mathematics educators have experienced the process of globalization over these 30 years. This tapestry of trends is a predominant characteristic of mathematics education in Brazil. © FIZ Karlsruhe 2009.

Rol estratégico de la educación media para el bienestar y la equidad = The strategic role of secondary education in achieving well-being and social equity

Incluye Bibliografía

Trends in Brazilian academic production in the History of Mathematics Education: directions from EBRAPEM

The number of papers on History of Mathematics Education presented at EBRAPEM (Brazilian Meeting of Graduate Students in Mathematics Education) has increased significantly between 2003 and 2008. This article presents a study with the aim of identifying themes, periods in focus, and sources and theoretical and methodological references used by the authors of the papers on History of Mathematics Education published in the proceedings of VII, VIII, IX, X, XI and XII EBRAPEM. The study indicates that the approach of ongoing research in History of Mathematics Education in Brazil has been similar to the approach of research in History of Education in general. However, the institutional separation between these two areas of investigation is noted as a factor rendering communication between both groups of researchers difficult.

Tornar-se professor: desvelando a atuação docente no início do exercício da docência

This research, based on authors such as Was (1999), Guarnieri (1996 and 2005), Freitas (2002 and 2007) argue that the understanding of teacher education as a complex continuum aimed at understanding the initiation of the educational performance in the first five years of professional practice, by analyzing the history of teaching teachers early in their career. As we contemplate the specific objectives of interest to examine the training received to enter and work in the classroom and the experiences in teaching at undergraduate students. To perform the empirical study we adopted the use of semi-structured, guided by an outline of issues significant to the conduct of the respondents' narratives. The main results can highlight the difficulties encountered at the beginning of the educational performance are recurrent, data analysis shows that there is a significant increase in the duties of the teacher. With the study arrives at the premise that we must rethink the quality and structure of training courses aimed at improving the quality of performance of professional education, but for this to occur there must be deepening of studies and improvements not only in initial training and in continuing education courses. It is understood here that the training is not solely responsible for the current educational scene, which encompasses the question of the beginner there are many issues to be studied, such as public policies, structuring the curriculum, pay, but the training is beginning to there are faculty prepared to act