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.

How initial vocational education and training (IVET) teachers in Sweden perceive their prospects of being able to prepare upper secondary school pupils for a future occupation

Vocational teachers in Swedish upper secondary schools are a heterogeneous category of teachers, connected to different types of trade. These teachers represent a broad set of trade skills varying in content and character. In their teacher role, they continue to wear the clothes, speak the language, share the culture and remain mentally in their former professions. Still, it is central that they keep up this contact to be able to school the pupils into the environment of the trade in question, but also to help them to understand what skills a profession demands. However, the individual teacher also has to distance himself from the negative elements in the culture of the profession: patterns and habits that, for various reasons, have to be broken or changed. This paper draws attention to the ways in which a group of vocational teachers, who were participants in a project that aimed to train unauthorized vocational teachers, expressed their ambitions to prepare the pupils for a future professional career. When collecting information, we used the degree dissertations they produced and discussed in seminars, and informal dialogues. The result shows that it is important that the instruction location resembles a real working site as far as possible. These places are more or less realistic copies of a garage, a restaurant kitchen, a hairdressing salon, and so on, in order to give the pupils a realistic setting for instruction. However, the fact that these simulated workplaces lack the necessary support functions that exist in a company creates problems, problems which make a lot of extra work for the teachers. Vocational teachers also have to instruct the pupil in the experienced practitioner’s professional skills and working situation, but the pupil herself/himself must learn the job by doing it in practice. Some vocational upper secondary programs lack relevant course literature and the businesses give little support. This also makes extra work for the teachers. Moreover, the distance between the vocational programs and the trainee jobs was experienced as being difficult to overcome. One reason seems to be differences between businesses and differing preconditions between small and big companies’ abilities to take care of these pupils. The upper secondary school vocational programs also play a role in cementing existing gender roles, as well as perpetuating class-related patterns on the labour market.

How initial vocational education and training (IVET) teachers in Sweden perceive their prospects of being able to prepare upper secondary school pupils for a future occupation

Vocational teachers in Swedish upper secondary schools are a heterogeneous category of teachers, connected to different types of trade. These teachers represent a broad set of trade skills varying in content and character. In their teacher role, they continue to wear the clothes, speak the language, share the culture and remain mentally in their former professions. Still, it is central that they keep up this contact to be able to school the pupils into the environment of the trade in question, but also to help them to understand what skills a profession demands. However, the individual teacher also has to distance himself from the negative elements in the culture of the profession: patterns and habits that, for various reasons, have to be broken or changed. This paper draws attention to the ways in which a group of vocational teachers, who were participants in a project that aimed to train unauthorized vocational teachers, expressed their ambitions to prepare the pupils for a future professional career. When collecting information, we used the degree dissertations they produced and discussed in seminars, and informal dialogues. The result shows that it is important that the instruction location resembles a real working site as far as possible. These places are more or less realistic copies of a garage, a restaurant kitchen, a hairdressing salon, and so on, in order to give the pupils a realistic setting for instruction. However, the fact that these simulated workplaces lack the necessary support functions that exist in a company creates problems, problems which make a lot of extra work for the teachers. Vocational teachers also have to instruct the pupil in the experienced practitioner’s professional skills and working situation, but the pupil herself/himself must learn the job by doing it in practice. Some vocational upper secondary programs lack relevant course literature and the businesses give little support. This also makes extra work for the teachers. Moreover, the distance between the vocational programs and the trainee jobs was experienced as being difficult to overcome. One reason seems to be differences between businesses and differing preconditions between small and big companies’ abilities to take care of these pupils. The upper secondary school vocational programs also play a role in cementing existing gender roles, as well as perpetuating class-related patterns on the labour market.

PokerMapper: : mapping executive functions, poker playing ability and responsible gambling in online environments

Research objectives Poker and responsible gambling both entail the use of the executive functions (EF), which are higher-level cognitive abilities. The main objective of this work was to assess if online poker players of different ability show different performances in their EF and if so, which functions are the most discriminating ones. The secondary objective was to assess if the EF performance can predict the quality of gambling, according to the Gambling Related Cognition Scale (GRCS), the South Oaks Gambling Screen (SOGS) and the Problem Gambling Severity Index (PGSI). Sample and methods The study design consisted of two stages: 46 Italian active players (41m, 5f; age 32±7,1ys; education 14,8±3ys) fulfilled the PGSI in a secure IT web system and uploaded their own hand history files, which were anonymized and then evaluated by two poker experts. 36 of these players (31m, 5f; age 33±7,3ys; education 15±3ys) accepted to take part in the second stage: the administration of an extensive neuropsychological test battery by a blinded trained professional. To answer the main research question we collected all final and intermediate scores of the EF tests on each player together with the scoring on the playing ability. To answer the secondary research question, we referred to GRCS, PGSI and SOGS scores.  We determined which variables that are good predictors of the playing ability score using statistical techniques able to deal with many regressors and few observations (LASSO, best subset algorithms and CART). In this context information criteria and cross-validation errors play a key role for the selection of the relevant regressors, while significance testing and goodness-of-fit measures can lead to wrong conclusions.   Preliminary findings We found significant predictors of the poker ability score in various tests. In particular, there are good predictors 1) in some Wisconsin Card Sorting Test items that measure flexibility in choosing strategy of problem-solving, strategic planning, modulating impulsive responding, goal setting and self-monitoring, 2) in those Cognitive Estimates Test variables related to deductive reasoning, problem solving, development of an appropriate strategy and self-monitoring, 3) in the Emotional Quotient Inventory Short (EQ-i:S) Stress Management score, composed by the Stress Tolerance and Impulse Control scores, and in the Interpersonal score (Empathy, Social Responsibility, Interpersonal Relationship). As for the quality of gambling, some EQ-i:S scales scores provide the best predictors: General Mood for the PGSI; Intrapersonal (Self-Regard; Emotional Self-Awareness, Assertiveness, Independence, Self-Actualization) and Adaptability  (Reality Testing, Flexibility, Problem Solving) for the SOGS, Adaptability for the GRCS. Implications for the field Through PokerMapper we gathered knowledge and evaluated the feasibility of the construction of short tasks/card games in online poker environments for profiling users’ executive functions. These card games will be part of an IT system able to dynamically profile EF and provide players with a feedback on their expected performance and ability to gamble responsibly in that particular moment. The implementation of such system in existing gambling platforms could lead to an effective proactive tool for supporting responsible gambling. 

Testing production functions used in empirical growth studies

We estimate and test two alternative functional forms representing the aggregate production function for a panel of countries: the extended neoclassical growth model, and a mincerian formulation of schooling-returns to skills. Estimation is performed using instrumentalvariable techniques, and both functional forms are confronted using a Box-Cox test, since human capital inputs enter in levels in the mincerian specification and in logs in the extended neoclassical growth model. Our evidence rejects the extended neoclassical growth model in favor of the mincerian specification, with an estimated capital share of about 42%, a marginal return to education of about 7.5% per year, and an estimated productivity growth of about 1.4% per year. Differences in productivity cannot be disregarded as an explanation of why output per worker varies so much across countries: a variance decomposition exercise shows that productivity alone explains 54% of the variation in output per worker across countries.

Three essays on education from the perspective of the economics of public setor

This work consists of three essays organized into chapters that seek to answer questions at first sight unrelated, but with one common denominator, which is the scarcity of public resources devoted to education, overall, especially in lower education. . The first chapter deals with the scarcity of resources devoted to education in a context of population aging. Two hypotheses were tested for Brazilian municipalities on the relationship between the aging of the population and educational expenditure. The first, already proven in the literature, is that there is an intergenerational conflict for resources and the increase of the share of elderly in the population reduces the educational expenditure. The second, proposed here for the first time, is that there should be reduction of competition for resources if there is a relationship of co-residence between young and old. The results indicated that an increase in the share of elderly reduces the educational expenditure per youth. But the results also illustrate that an increase in the share of elderly co-residing with youth (family arrangement more common in Latin American countries) raises the educational expenditure, which reflects a reduction of competition for resources between generations. The second chapter assesses the allocative efficiency of investments in Higher Education. Using the difference between first-year and last-year students’ scores from Enade aggregated by HEI as a product in the Stochastic Production Function, is possible to contribute with a new element in the literature aimed at estimating the production function of education. The results show that characteristics of institutions are the variables that best explain the performance of students, and that public institutions are more inefficient than the private ones. Finally, the third chapter presents evidence that the allocation of public resources in early childhood education is important for a better future school performance. In this chapter was calculated the effects of early childhood education on literacy scores of children attending the 2nd grade of elementary school. The results using OLS and propensity score matching show that students who started school at the ages to 5, 4, and 3 years had literacy scores between 12.22 and 19.54 points higher than the scores of those who began school at the ages 6 years or late. The results also suggest that the returns in terms of literacy scores diminish in relation to the number of years of early childhood education.

Psychophysical power functions for apparent area in perceptive, memory, and inference conditions for observers of different age groups

The purpose of this research was to verify the effect of age on the exponent of the power function in Perceptive, Memory, and Inference experimental conditions. In the Memory condition the intervals of 2 min., 8, 24, and 48 hr. and 1 wk. were used between acquisition of information and remembering. For each experimental condition the ages of observers ranged between 17 and 35 years (Group I), 40-55 years (Group II), and 60-77 years (Group III), and education ranged from high school to graduate school. The observers estimated the areas of the Brazilian states using the psychophysical method of magnitude estimation. No significant differences were obtained for Groups I, II, and III for each experimental condition, except in the Memory Condition with the 24-hr. interval. Analysis for experimental conditions and ages showed a significant difference between the Perceptive Condition and each of the others, but no difference between the Inference and Memory Conditions. These results indicated that in the remembering processes there is no loss of information as a function of age. From the small variability in the power function exponents for the three ages, we may assume that age could be related to amount of education of the observers, which suggests study is important.

Investing better in order to invest more. Finance and management of education in Latin America and the Caribbean

Includes bibliography

Explorando o Conjunto de Cantor e outros fractais no ensino básico

Pós-graduação em Matemática em Rede Nacional - IBILCE

Teaching general concepts about sensors and transfer functions with a voltage divider

This work proposes the use of a simple voltage divider circuit composed by one potentiometer and one resistor to simulate the behavior of the electrical output signal of linear and nonlinear sensors. It is a low cost way to implement practical experiments in classroom and it also enables the analysis of interesting topics of electricity. This work induces naturally to a class guide where students can build and characterize a voltage divider to explore several concepts about sensors output signal. As the result of this teaching activity it is expected that students understand fundamentals of voltage divider, potentiometer operation, fundamental sensor characteristics, transfer function, and, besides, associate directly concepts of physics and mathematics with a practical approach.

Establishing common elements among some science education references as a resource to design a Didactics of Physics program for teachers initial education

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Alternative Tasks for the Teaching and the Learning of functions: analysis of an intervention in the High School

In this paper we focus on the application of two mathematical alternative tasks to the teaching and learning of functions with high school students. The tasks were elaborated according to the following methodological approach: (i) Problem Solving and/or mathematics investigation and (ii) a pedagogical proposal, which defends that mathematical knowledge is developed by means of a balance between logic and intuition. We employed a qualitative research approach (characterized as a case study) aimed at analyzing the didactic pedagogical potential of this type of methodology in high school. We found that tasks such as those presented and discussed in this paper provide a more significant learning for the students, allowing a better conceptual understanding, becoming still more powerful when one considers the social-cultural context of the students.

CLIL materials in Secondary Education: focusing on the language of instruction in the subject area of Mathematics

<p>[EN]Applying a CLIL methodological approach marks a shift in emphasis from language learning based on linguistic form and grammatical progression to a more &lsquo;language acquisition&rsquo; one which takes account language functions. In this article we will study the elements of the &ldquo;language of instruction&rdquo; of the area of Maths in Secondary Education, by focusing on the analysis of the communicative functions, and the lexical and the cultural items present in the textbook in use. Our aim is to present the CLIL teacher with the linguistic and didactic implications that he or she should take into consideration when implementing the bilingual syllabuses with their students. In order to do that, we will present our conclusions emphasizing the need for coordination in different content areas, linguistic and communicative contents, between the foreign language teacher and the CLIL subject one. </p>