O surgimento dos números irracionais

Este é um trabalho de pesquisa sobre um conjunto de números (irracionais) que é pouco trabalhado no ensino básico de matemática. Foi uma procura muito interessante e enriquecedora, pois encontrei matemáticos e historiadores com visões bem diferentes. Muitos deles não aceitavam este novo conjunto. Para Leopold Kronecker, só existia o conjunto dos números inteiros. Já para Cantor e Dedekind, o aparecimento dos irracionais foi extremamente importante para o desenvolvimento da matemática, abrindo novos horizontes. Menciono aqui um pouco da vida e da obra de alguns matemáticos que se envolveram com os números irracionais. Tratamos ainda da descoberta dos incomensuráveis, ou seja, como iniciou-se o problema da incomensurabilidade, e do retângulo áureo e sua importância em outras áreas. O trabalho mostra também dois grupos de números que não são mencionados quando ensinamos equações algébricas, que são os números algébricos e os números transcendentes, assim como teoremas essenciais para a prova da transcendência dos irracionais especiais e . Por fim, proponho uma aula para uma turma do 3 ano do Ensino Médio com o objetivo de mostrar a irracionalidade de alguns números, usando os teoremas pertinentes

Por entre histórias e memórias: caminhos do curso de formação de professores do Colégio Estadual Trasilbo Filgueiras (19841985)

A presente dissertação centra-se na investigação das memórias e histórias da criação do Curso de Formação de Professores em nível médio, do Colégio Estadual Trasilbo Filgueiras, localizado no bairro Jardim Catarina, no município de São Gonçalo. O recorte temporal da pesquisa concentra-se no início da oferta do referido curso os anos de 1984 e 1985. A partir de um enfoque metodológico de natureza qualitativa, buscamos em fontes documentais - arquivo permanente da instituição escolar e impressos do Jornal O SÃO GONÇALO -, em diálogo com fontes orais - narrativas dos/as moradores/as, professoras, funcionários/as e alunas egressas - indícios (GINZBURG, 1989) das histórias vividas neste espaço formativo. As questões que este trabalho de investigação se propõe a discutir são: Por que foi criado o Curso de Formação de Professores no Colégio Estadual Trasilbo Filgueiras? Que narram os sujeitos da pesquisa sobre a criação do curso na instituição? A relação memória e história são compreendidas a partir de Benjamim (1996) e Nunes (2003), em uma perspectiva de que passado é entendido como tempo presente ao ser rememorado. A escala de análise (REVEL, 1998) é utilizada como ferramenta reflexiva da interação entre os diferentes sujeitos sociais. Sujeitos sociais que cotidianamente, no âmbito da esfera local e global, constroem os processos históricos mediante suas práticas culturais, relações sociais e modos de vida. A pesquisa justifica-se pela necessidade da reflexão, da rememoração e valorização das memórias escolares e da história da formação de professores no município de São Gonçalo, com vistas ao fortalecimento das instituições públicas que a desenvolvem. Palavras-chave: Curso

Manufacturing dish shaped rings on radial-axial ring rolling mills

Ring rolling is an established method to produce seamless rings of different cross-sectional geometries. For dish shaped rings, there are applications in different areas such as offshore, aeronautics or the energy sector. At the moment, dish shaped rings are produced by machining of rings with rectangular shaped cross section, by (open die) hollow forging on a conical mandrel or by using shaped ring rolling tools. These ways of manufacturing have the disadvantage of high material waste, additional costs for special tools, long process time and limited or inflexible geometries. Therefore, the manufacturing of dish shaped rings on conventional radial-axial ring rolling mills would expand the range of products for ring producers. The aim of this study is to investigate the feasibility of an alternative to the current manufacturing processes, without requiring additional tooling and material costs. Therefore, the intended formation of dish shaped rings-previously regarded as a form error-is investigated. Based on an analysis of geometrical requirements and metal flow mechanisms, a rolling strategy is presented, causing dishing and ring climbing by a large height reduction of the ring. Using this rolling strategy dish shaped rings with dishing angles up to 18° were achieved. In addition to the experiments finite element method (FEM)-simulations of the process have been successfully conducted, in order to analyze the local strain evolution. However, when the contact between ring and main roll is lost in the process the ring starts to oscillate around the mandrel and neither dishing nor ring climbing is observed. © 2013 German Academic Society for Production Engineering (WGP).

Single-electron capture in keV Ar15+...18++He collisions

Single-electron capture in 14 keV q(-1) Ar15+...18++He collisions is investigated both experimentally and theoretically. Partial cross sections and projectile scattering angle dependencies have been deduced from the target ion recoil momenta measured by the COLTRIMS technique. The comparison with close-coupling results obtained from a two-centre extension of the basis generator method yields good overall agreement, demonstrating the applicability of close-coupling calculations to collision systems involving highly charged ions in charge states up to 18+.

中学生自我评价、泛化信任和应对方式及其于心理健康的关系

The aim of this research is to explore the relationships between Self-evaluation, general trust, coping styles and psychological health of secondary school students. Three studies were carried out. A total of 1024 middle school students ranging in age from 11 to 20 years complete SCL-90, secondary school students self-evaluation scale, questionnaire of coping styles and GTS. It is found that: 1. There were three self-evaluation in middle school students: the self-evaluation in study, in human relations and in appearance. 2. The three factors of self-evaluation are all correlated to gender, grade and single children. 3. General trust of secondary school students is no difference in gender, grade and single children. 4. Aside from the negative exterior copied ones, three self-evaluation and general trust significantly predict the other three coping styles. 5. When we control the gender , grade and and the only-child in multiple linear regression, we found that the coping style has more effect on their psychological health than the gender , grade and and the only-child and influencing of negative coping style is highest. 6. Three self-evaluations and general trust have direct influences on psychological health of secondary school students. Taking coping styles as intermediate variables , three self-evaluations and general trust have direct influences on psychological health of secondary school students.

我国部分地区中学生的学校回避倾向研究

The aim of this research is to explore the relationships between school avoidance tendency and school stressors, stress response, social support, coping style of secondary school students. Three studies were carried out. School avoidance tendency scale, mental health scale, coping style scale of secondary school students from Japan were revised in the first research. In the second research, the difference in gender, cities, grades of five variables were discussed. In the third research, the relationships of five variables were discussed. A total of 883 students from grade one of middle school to grade 3 of high school in Beijing, Taiyuan and Wulanchabu, completed three scales. Analysis showed that: 1. The main effects of city, gender, and grade were present significantly on School avoidance tendency, and the inter-effects were not significant. The differences were significant between three grades of middle schools, and not significant between three grades of high schools. The high school students were significant than middle school students on school avoidance tendency. 2. The main effect of city was not significant, but gender, and grade were present significantly on stressor, and the inter-effects were not significant. The most stressor was study one, than the relationship stressor from teachers. The relationship stressor from friends was at least. 3. The main effects of city and grade were present significantly on stress responses, but the main effect of gender was not significant, and the inter-effect was not significant. The most stress response was the physical response. 4. The main effects of city and gender, the inter-effect were not present significantly on social supports. The main effect of grade was present significantly. The most social support was from mother, than from friends, father, and the teachers. 5. The differences between cites on coping styles were not significant. Positive coping style was used mostly, than the style of help requirement, cognitive coping style. 6. Stressor and stress responses had significant positive predictive role on school avoidance tendency. Social supports had negative predictive role. Social supports had not moderator role between stressor, stress responses and schools avoidance tendency. Stress responses had a part of mediator between stressor and school avoidance tendency. 7. In the coping styles, positive coping style and help requirement style had negative predictive role, but cognitive coping style had positive predictive role on school avoidance tendency. Coping styles had negative predictive role. Coping styles had not moderator role between stressor, stress responses and school avoidance tendency.

中学生强迫症状及其心理、环境危险因素和整合模型研究

Obsessive-Compulsive Symptoms, which are one of common factors effected on mental health of secondary school students, have been rarely studied at home and abroad. In accordance with the problems existed in these literature up till now, the thesis had mainly studied the measured tool, contents and structure, developmental features, psychosocial risk factors and integrated model of obsessive-compulsive symptoms from them by means of investigation with quetionnaires. The entire research was divided into three phases. 3185 students(age 14.68±1.75 years) were firstly measured with the 20-item Leyton Obsessional Inventory-Child Version(LOI-CV) at four secondary schools including six grades in Beijing city, which was applied to revise LOI-CV, and to study the structure and contents, developmental features and screen of obsessive-compulsive symptoms. Then, 216 subjects with obsessive-compulsive symptoms, paired with controls in the light of school, grade and gender, were investigated with 10 self-rating scales on obsessive-compulsive symptoms, anxiety, depression, personality, coping and attributional style, negative life events, parent's rearing style, family environment and life adaptation in school, and with an inventory on social demography. The results were used to explore psychosocial risk factors and integrated model of obsessive-compulsive symptoms. The third survey was only carried out, about two months after the second, among 264 subjects with obsessive-compulsive symptoms through MMOCI and Negative Life Event Scale for Adolescents, in order to probe into the integrated model. The research had mainly found: (1) LOI-CV can be used as a screen tool for obsessive-compulsive symptoms in urban adolescents in China; (2) Total screening-out ratio of obsessive-compulsive symptoms was 13.6% (male:15.0%, female:12.2%). The most common manifestations of obsessive-compulsive symptoms were hating dirt and contamination, doing things in exact manner, angry if someone messes desk, bad conscience but no one else, worry about cleanliness, repeated thoughts or words; the least were favorite or special number, spending extra time on homework, special number or words to avoid, talking or moving to avoid bad luck, fussy about hands. The checking and repetition, cleanliness and tidiness, general obsessions were more common forms than numbers-luck; (3) No differences were existed in serious degree of obsessive-compulsive symptoms, but the screening-out ratio in male was higher than it in female; (4) No differences were detected in the serious degree of obsessive-compulsive symptoms except the scores of cleanliness and tidiness among grades, but the screening-out ratio of the grades justly entering secondary school or going to graduate were higher than other ones; (5) The main psychosocial risk factors for obsessive-compulsive symptoms included anxiety, mother's over-protecting and over-interfering, fantasy, flexibility, self-actualization, peers relationship, sense of responsibility, negative life events, mother's occupation, help-seeking, and (6) The integrated model on psychosocial risk factors suggested that the possible developed and sustained mechanism of obsessive-compulsive symptoms was that personality, coping and attributional styles constructed the developmental diathesis foundation of obsessive-compulsive symptoms; negative life events were promoting factors of them. There was a dynamic interaction between personality and environmental factors. Negative emotion played a core role in the developmental process of them. The continued existence of obsessive-compulsive symptoms was related to pre-existed obsessive-compulsive symptoms and negative life events experienced by an individual. Therefore, this research not only let us get a deeper understanding of obsessive-compulsive symptoms and more entirely find out psychosocial risk factors, firstly applied diathesis-stress theory to comprehend the psychological mechanism of obsessive-compulsive symptoms and, moreover, elaborate and expand it, but also has more important practice significance of treatment, prevent and education for obsessive-compulsive symptoms in secondary school students.

中学生焦虑与其影响因素的关系模型

Anxiety, which is one of common factors influencing mental health of secondary school students, whose occurrence, development, diagnosis, treatment and intervention have been studied in neurophysiology, behavior and cognition process. in the present study, the relationship between anxieties including trait anxiety and test anxiety and their influencing factors in secondary school students had been explored by exploratory analysis, confirmatory analysis and structure equation modeling. The following conclusions were drawn: (1) There were grade-characteristics in development of trait anxiety in secondary school students. Trait anxiety degree increased with grade. On the other hand, test anxiety showed no grade-characteristics. However, gender differences showed test anxiety in female was higher than in male. In a test, test anxiety increased with test coming and reached the maximum height before test and dropped to the minimum that night after test. (2) Influencing factor inventory on trait anxiety whose reliability and validity were good, has been developed, which was composed of 44 items including 8 factors were study pressure, bad influence of society, self-abased, dysadaptation, introversion, bad body, interrelationship, bad parents raising style etc, of which study pressure was the first reason for trait anxiety. (3) Influencing factor inventory on test anxiety, whose reliability and validity were good, has been developed, which was composed of 30 items including 5 factors. 5 factors were worry about bad school achievement, bad objective environment, intervention of emergency, self-abased, worry about consequence etc, of which study pressure played the most important role on test anxiety. (4) Personality and school pressure affected trait anxiety, while personality and school pressure were affected by environment. Furthermore, test anxiety was affected by worry, personality and, while worry and personality was influenced by spot circumstances. At last, both trait anxiety and test anxiety related with bad personality and bad school achievement.

中国版一般能力倾向测验的信度和效度的初步检验

General aptitude tests have been playing an important role in vocational guidance and preliminary personnel selection. The present research aimed at the estimation of the reliability and validity of the preliminarily constructed Chinese version of the General Aptitude Test Battery (GATB). A Chinese version of GATB was developed on the basis of the Japanese version of GATB at first. It was then administered to a sample of nearly 500 secondary school students in Beijing City. And its reliability and validity were studied through a series of univariate and multivariate statistical techniques. The results showed that the reliability of the test battery and the criteria-related validities of some subtests were acceptable. Concerning construct validity, three or four common factors were identified by exploratory factor analysis, and a simpler reasonable four-factor-solution was approached by confirmatory factor analysis; desirable group differences were also discovered by analyses of variance and multivariate analysis of variance. Generally, it has been demonstrated that the reliability and validity of the Chinese version of GATB constructed in the present research are satisfactory.

Kierowanie pracą ucznia w licealnych podręcznikach do języka polskiego

Wydział Filologii Polskiej i Klasycznej: Pracownia Innowacji Dydaktycznych

Korespondencja sztuk w dydaktyce szkoły ponadgimnazjalnej. Diagnoza i propozycje

Instytut Filologii Polskiej: Zakład Dydaktyki Literatury i Języka Polskiego

Droga do ucznia. Polonistyczne ocenianie kształtujące na III i IV etapie edukacyjnym

Wydział Filologii Polskiej i Klasycznej: Instytut Filologii Polskiej

ewaluacja Nowej Matury

In the frame of the Polish educational reform there are some attempts undertaken to improve the final exam of secondary school. The reformers' proposals undergo an outside analysis and crittique. The author presents two models of democratic evaluation of the so-called in the “matura” exam. One model is a qualitative analysis of the criteria of grading essays in the subject of the Polish language. The other model is a quantitative study of qualitative differences between problem tasks within the exam in mathematics. Both naturalistic approaches are based on evaluating opinions of the subjects of the „matura”, i.e. students who take the exam and teachers who grade the output.

Bullying e cyberbullying

Dissertação apresentada à Universidade Fernando Pessoa como parte dos requisitos para a obtenção do grau de Mestre em Psicologia Jurídica

Characterizing mentors’ performance in mathematics teacher education

This study describes the performance of the mentors in a blended graduate-level training program of teachers in the field of secondary school mathematics. We codified and analyzed the mentors’ comments on the projects presented by the groups of in-service teachers for whom they (the mentors) were responsible. To do this, we developed a structure of categories and codes based on a combination of a literature review, a model of teacher learning, and a cyclical review of the data. We performed two types of analysis: frequency and cluster. The first analysis permitted us to characterize the common actions shared by most of the mentors. From the second, we established three profiles of the mentors’ actions.