Decomposition of Banach Space into a Direct Sum of Separable and Reflexive Subspaces and Borel Maps

* This paper was supported in part by the Bulgarian Ministry of Education, Science and Technologies under contract MM-506/95.

Existence of Global Solutions to Supercritical Semilinear Wave Equations

∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 with the Bulgarian Ministry of Education, Science and Thechnology.

Speculating About Mountains

∗Partially supported by Grant MM 409/94 of the Mininstry of Education, Science and Technology, Bulgaria. ∗∗Partially supported by Grants MM 521/95, MM 442/94 of the Mininstry of Education, Science and Technology, Bulgaria.

Software Tools for Digitization of Astronomical Photographic Plates

ACM Computing Classification System (1998): J.2.

Monte Carlo Algorithm for Solving Integral Equations with Polynomial Non-Linearity. Parallel Implementation

An iterative Monte Carlo algorithm for evaluating linear functionals of the solution of integral equations with polynomial non-linearity is proposed and studied. The method uses a simulation of branching stochastic processes. It is proved that the mathematical expectation of the introduced random variable is equal to a linear functional of the solution. The algorithm uses the so-called almost optimal density function. Numerical examples are considered. Parallel implementation of the algorithm is also realized using the package ATHAPASCAN as an environment for parallel realization.The computational results demonstrate high parallel efficiency of the presented algorithm and give a good solution when almost optimal density function is used as a transition density.

On some Sufficient Conditions for High Breakdown Point of ML Estimators

High breakdown point estimators LME(k) and LT E(k) for location and scale are obtained for symmetrical exponentially decreasing density family.

Trimmed Likelihood Estimation of the Parameters of the Generalized Extreme Value Distributions: a Monte-Carlo Study

2000 Mathematics Subject Classification: Primary 62F35; Secondary 62P99

Hungary's U-Turn

For two decades Hungary, like the other Eastern European countries, followed a general policy of establishing and strengthening the institutions of democracy, rule of law, and a market economy based on private property. However, since the elections of 2010, when Viktor Orbán's Fidesz party came to power, Hungary has made a dramatic U-turn. This article investigates the different spheres of society: political institutions, the rule of law, and the influence of state and market on one another, as well as the world of ideology (education, science and art), and describes the U-turn’s implications for these fields and the effect it has on the life of people. It argues against the frequent misunderstandings in the interpretation and evaluation of the Hungarian situation, pointing out some typical intellectual fallacies. It draws attention to the dangers of strengthening nationalism, and to the ambivalence evident in Hungarian foreign policy, and looks into the relationship between Hungary and the Western world, particularly the European Union. Finally, it outlines the possible scenarios resulting from future developments in the Hungarian situation.

Hungary's U-Turn

For two decades Hungary, like the other Eastern European countries, followed a general policy of establishing and strengthening the institutions of democracy, rule of law, and a market economy based on private property. However, since the elections of 2010, when Viktor Orbán's Fidesz party came to power, Hungary has made a dramatic U-turn. This article investigates the different spheres of society: political institutions, the rule of law, and the influence of state and market on one another, as well as the world of ideology (education, science and art), and describes the U-turn's implications for these fields and the effect it has on the life of people. It argues against the frequent misunderstandings in the interpretation and evaluation of the Hungarian situation, pointing out some typical intellectual fallacies. It draws attention to the dangers of strengthening nationalism, and to the ambivalence evident in Hungarian foreign policy, and looks into the relationship between Hungary and the Western world, particularly the European Union. Finally, it outlines the possible scenarios resulting from future developments in the Hungarian situation.

Hungary's U-Turn

For two decades Hungary, like the other Eastern European countries, followed a general policy of establishing and strengthening the institutions of democracy, rule of law, and a market economy based on private property. However, since the elections of 2010, when Viktor Orbán's Fidesz party came to power, Hungary has made a dramatic U-turn. This article investigates the different spheres of society: political institutions, the rule of law, and the influence of state and market on one another, as well as the world of ideology (education, science and art), and describes the U-turn’s implications for these fields and the effect it has on the life of people. It argues against the frequent misunderstandings in the interpretation and evaluation of the Hungarian situation, pointing out some typical intellectual fallacies. It draws attention to the dangers of strengthening nationalism, and to the ambivalence evident in Hungarian foreign policy, and looks into the relationship between Hungary and the Western world, particularly the European Union. Finally, it outlines the possible scenarios resulting from future developments in the Hungarian situation.

A Q-Methodology approach to investigating the relationship between level of reflection and typologies among prospective teachers in the physics learning assistant program at Florida International University

The purpose of this mixed methods study was to understand physics Learning Assistants' (LAs) views on reflective teaching, expertise in teaching, and LA program teaching experience and to determine if views predicted level of reflection evident in writing. Interviews were conducted in Phase One, Q methodology was used in Phase Two, and level of reflection in participants' writing was assessed using a rubric based on Hatton and Smith's (1995) "Criteria for the Recognition of Evidence for Different Types of Reflective Writing" in Phase Three. Interview analysis revealed varying perspectives on content knowledge, pedagogical knowledge, and experience in relation to expertise in teaching. Participants revealed that they engaged in reflection on their teaching, believed reflection helps teachers improve, and found peer reflection beneficial. Participants believed teaching experience in the LA program provided preparation for teaching, but that more preparation was needed to teach. Three typologies emerged in Phase Two. Type One LAs found participation in the LA program rewarding and believed expertise in teaching does not require expertise in content or pedagogy, but it develops over time from reflection. Type Two LAs valued reflection, but not writing reflections, felt the LA program teaching experience helped them decide on non-teaching careers and helped them confront gaps in their physics knowledge. Type Three LAs valued reflection, believed expertise in content and pedagogy are necessary for expert teaching, and felt LA program teaching experience increased their likelihood of becoming teachers, but did not prepare them for teaching. Writing assignments submitted in Phase Three were categorized as 19% descriptive writing, 60% descriptive reflections, and 21% dialogic reflections. No assignments were categorized as critical reflection. Using ordinal logistic regression, typologies that emerged in Phase Two were not found to be predictors for the level of reflection evident in the writing assignments. In conclusion, viewpoints of physics LAs were revealed, typologies among them were discovered, and their writing gave evidence of their ability to reflect on teaching. These findings may benefit faculty and staff in the LA program by helping them better understand the views of physics LAs and how to assess their various forms of reflection.

Analysis of Students’ Misconceptions and Error Patterns in Mathematics: The Case of Fractions

This study analyzed three fifth grade students’ misconceptions and error patterns when working with equivalence, addition and subtraction of fractions. The findings revealed that students used both conceptual and procedural knowledge to solve the problems. They used pictures, gave examples, and made connections to other mathematical concepts and to daily life topics. Error patterns found include using addition and subtraction of numerators and denominators, and finding the greatest common factor.

The Effects of the Use of Technology In Mathematics Instruction on Student Achievement

The purpose of this study was to examine the effects of the use of technology on students’ mathematics achievement, particularly the Florida Comprehensive Assessment Test (FCAT) mathematics results. Eleven schools within the Miami-Dade County Public School System participated in a pilot program on the use of Geometers Sketchpad (GSP). Three of these schools were randomly selected for this study. Each school sent a teacher to a summer in-service training program on how to use GSP to teach geometry. In each school, the GSP class and a traditional geometry class taught by the same teacher were the study participants. Students’ mathematics FCAT results were examined to determine if the GSP produced any effects. Students’ scores were compared based on assignment to the control or experimental group as well as gender and SES. SES measurements were based on whether students qualified for free lunch. The findings of the study revealed a significant difference in the FCAT mathematics scores of students who were taught geometry using GSP compared to those who used the traditional method. No significant differences existed between the FCAT mathematics scores of the students based on SES. Similarly, no significant differences existed between the FCAT scores based on gender. In conclusion, the use of technology (particularly GSP) is likely to boost students’ FCAT mathematics test scores. The findings also show that the use of GSP may be able to close known gender and SES related achievement gaps. The results of this study promote policy changes in the way geometry is taught to 10th grade students in Florida’s public schools.

Proposta arquitetônica para o Centro de Treinamento dos Servidores do IFRN com base nos fatores de desempenho energético.

In recent years, as part of the expansion process of its activities, the Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Norte – IFRN (Federal Institute for Education, Science and Technology of the State of Rio Grande do Norte – IFRN) detected the need to hire more employees for the institution. This expansion process, a policy of the Federal Government, together with the increase of human resources, required the construction of an adequate facility in the municipality of São Gonçalo do Amarante-RN, for training and qualification and as a means of better enabling its personnel. Along with this policy, the Federal Government is also deeply concerned that its buildings be environmentally friendly. This study deals with this subject matter, as it develops an architectural design of a public building with an emphasis upon the reduction of energy consumption, through the study of energy performance factors such as defined by Carneiro (1988) and adapted by the author of the present study. It is known that residential, commercial and public buildings represent about 45 % of energy consumption in Brazil. That is why it is necessary to consider the reduction of such consumption in buildings, as well as the role that professionals, especially architects, play in this issue. The most effective participation in this regard in the field of architecture occurs in the design phase. However, the architectural solution proposed here goes beyond the energy performance factors, since it also involves other aspects, such as the definition of the concept, the parti and the spatial solution itself. In this sense, the architectural project of the Centro de Treinamento dos Servidores do IFRN - CTSIFRN (Training Center for IFRN Personnel – CTSFIRN) is particularly fitting as a subject for research at the Professional Master Program at PPGAU/UFRN, which is devoted to research on architecture, design and the environment.

Uma abordagem crítica do conteúdo esporte nas aulas de educação física no ensino médio integrado

Researchers have analyzed how sport is being taught in the classroom as a regular subject and how it is accepted as a pedagogical action at school. This study aims to suggest some pedagogic proposal on the Physical Education subject to High School System which would be planned, formulated, and applied based on some critical approach on teaching, as well as analyzing and thinking over its impact on the students' learning, taking in consideration some conceptual, procedural and attitudinal dimensions to make possible for the students to become more critical so that they will understand how this subject works in contemporary time. .We had three specific blocs to develop our research: Historic, conceptual and cultural elements about sport; Public policies to sport; Individual, group and environmental characteristics. The method of this work was based on qualitative research through some research action. The study was made actually at IFRN (Federal Institute of Education, Science and Technology of Rio Grande do Norte state), in the city of Pau dos Ferros. Students from the second year of the computing course in high school were the participants in the research, there were 37 students from eleven different cities near Pau dos Ferros. They answered some questionares and a Research Diary. From the pedagogical intervention we could prove the students have improved their knowledge about the concept on sport itself, leaving the old idea about sport only as a physical practice such as an activity with rules or as competition, we could prove they have sport as a social-cultural event, involving policies, ideologies as well as historical interferences. Another aspect they mentioned was that sport is the citizens' right and as such there must be public policies pro sports. Understanding that sport transpires on peoples' habits as well as their behavior allowed us to identify its influence on our students' quality of life back in their home towns. Therewith, it is clear the necessity of a pedagogical focus on the content of Physical Education at school to make this subject more meaningful, so that the students will become more critical and reflexive about life and will be able be real citizens