Equações de segundo grau e mudança de variáveis

In this work are presented, as a review and in a historical context, the most used methods to solve quadratic equations. It is also shown the simplest type of change of variables, namely: x = Ay + B where A;B 2 R, and some changes of variables that were used to solve quadratic equations throughout history. Finally, a change of variable, which has been used by the author in the classroom as an alternative method, is presented and the result of this methodoly is illustrated by the responses of a test that was done by the students in classroom

A legitimidade da jurisdição de primeiro grau na concretização dos direitos fundamentais: proposta de um novo modelo jurídico-administrativo para o segundo grau de jurisdição

The current study is about the legitimacy of lower court jurisdiction as a way of exercising basic legal rights, proposing, therefore, a new legal-administrative model for appellate court. In order to achieve that, a demonstration of the importance of basic legal rights in the Brazilian legal system and an open interpretation in light of the Constitution, as a way to affirm said rights, among which are accessibility to the justice system and proper legal protection, is required. As a result, the legitimacy to access the legal system resides in the Constitution, where the interpreter should seek its basic principles to achieve basic legal rights. It is observed that the lack of credibility regarding lower court decisions comes from the dogmatic view of truth born from power, and therefore, that the truth resides in decisions from appellate court and not from lower court judges. A lower court judge holds a privileged position in providing basic legal rights for citizens, considering his close contact to the parties, the facts, and the evidences brought forth. Class action suit is presented as an important instrument able to lead the lower court judge to provide basic legal rights. Small Claims Courts may be used as paradigm to the creation of Appellate State Courts formed by lower court judges, reserving to higher jurisdiction courts and Federal Circuit Courts, the decisions of original competency and the management and institutional representation of the judiciary system. Instilling an internal democratization of the judiciary is also required, which means the participation of lower court judges in electing their peers to chief positions in the court system, as well as establishing a limited mandate to higher court judges.

O processo de aprendizagem de professores do ensino fundamental: apropriação da habilidade de planejar situações de ensino de conceitos

La investigación fue realizada con profesores de los años iniciales de la enseñanza básica, alumnos de la carrera de Pedagogía Licenciatura Plena del PROBÁSICA de Ceará-Mirim (RN). Tuvo como objetivo general el estudio de lo proceso de apropiación de esa habilidad, segundo las siguientes perspectivas teóricas: históricocultural, de L.S. Vygotsky, teoría de la actividad, de A.N. Leontiev, y la teoría de la asimilación por etapas mentales, de P. Ya Galperin. La metodología se desarrolló organizándose en tres etapas: el diagnóstico inicial, con el análisis del nivel de desarrollo de la habilidad de los profesores; el proceso formativo, con la orientación del aprendizaje, el control y la evaluación del desarrollo; y el diagnóstico final, con el análisis del nivel alcanzado en la experiencia. Los instrumentos utilizados fueron: un cuestionario, para la caracterización de los sujetos de la investigación, el planeamiento de enseñanza de los profesores y el diario de clase, donde se registraba lo que ocurrió en cada orientación y realización del proceso formativo. Los resultados referentes a los niveles iniciales del desarrollo de la habilidad han revelado un grado de espontaneidad en el planeamiento de enseñanza de los conceptos. Durante el proceso de enseñanza y aprendizaje, los profesores han expresado sus dificultades, pero también las posibilidades de mudanza para que alcanzaran un nuevo nivel de desarrollo. Para el análisis del nivel inicial y del desarrollo de las habilidades de los profesores para planificar situaciones de enseñanza con la definición y con la identificación, fueron utilizados los siguientes elementos: el dominio del concepto, el dominio de esos procedimientos lógicos y las categorías del planeamiento (objetivos, contenidos, estrategias de enseñanza, control y evaluación). En cada etapa surgieron obstáculos, pero también aspectos que han revelado la posibilidad para aprender una nueva forma de planear, con apropiación de nuevos fundamentos teóricos. La práctica docente se constituyó en un elemento que facilitó la comprensión y la apropiación de las habilidades de planear situaciones de enseñanza de conceptos mediante la definición y la identificación

O pátio escolar do ensino fundamental como ambiente de brincar segundo as crianças usuárias

The intention of the present study was to analyze the adequacy of the playground of elementary schools, according to the point of view of the child student, direct user of this type of environment, what estimated its critical in respect to these spaces and aimed at to contribute for its improvement. Many studies have analyzed the quality of the physical environment available for activities of leisure in specific places for children, focusing in the influence of the physical space in the interpersonal relationships and the comfort and satisfaction generated by the physical characteristics of these spaces. Concern with scholar environment, specially the interest on playgrounds, has been subject of recent studies; however, little attention has been given to the opinion of the user-child in relation to this school environment. In this inquiry of the playground of two state schools of 1ª to 4ª series of elementary school in the city of Piracicaba, SP, was used: assystematics observations, photographic register of the studied environments, interviews with child-users and behavioral mapping. The main subjects resulting from the analysis of the interviews content were: adaptation, density and interpersonal relationships, and infantile confinement. The results revealed the unsatisfactory conditions of the courtyards, in respect to person-environment relationship. The children demonstrated to be critical, creative and responsible when answering questions related to the quality of the school courtyard. This finding confirms previous studies and leads to the conclusion that the child, as the direct user, should be included as an excellent source of consultation in the planning of the constructed environment

Como se chega ou como nos tornamos docentes no Ensino Superior

The Thesis weaved in the (auto) biographical boarding studies the existence of existential teaching, in the scope of Superior Teaching, guided in the experience and the (auto) formative scope as a theoreticianmethodological support present in the classrooms, being three the essential questions: Which the way of (auto) formation traveled by professors of Superior Teaching, what is, for these citizens, the teaching in Superior Teaching and what they understand from existential teaching according to their narratives. The epistemology of this work, based on Program of After-Graduation in Education of Universidade Federal do Rio Grande do Norte, Support of Research: Professionalization and Formation Lecturing emerges, especially, of the studies and research realized by Ramalho and Nuñez (2005, 2006), Morosini (2001), Pimenta and Anastasiou (2002), Nóvoa (2000), Josso (2004), Dominicé (1988), Catani (2002), and Souza (2004), among other authors, yonder the educational practice exercised by researcher and involved citizens in inquiryformation, what it is confirmed from the three methodological tools that given support to the covered way: Eight topic narratives, a participantcomment and seven laboratories or parallel meeting of formation (EPF's) experimented with licensed teachers that actuate in superior teaching institutions (IES), public and private, localized in the city of Natal/RN. The Thesis points out, in this way, existential education in the guideline of viable and concrete methodological alternatives amongst the problematic of the (auto) formation faced for the professors in Superior Teaching

Função quadrática

In general, the study of quadratic functions is based on an excessive amount formulas, all content is approached without justification. Here is the quadratic function and its properties from problems involving quadratic equations and the technique of completing the square. Based on the definitions we will show that the graph of the quadratic function is the parabola and finished our studies finding that several properties of the function can be read from the simple observation of your chart. Thus, we built the whole matter justifying each step, abandoning the use of decorated formulas and valuing the reasoning

A formação da habilidade de explicar no contexto do ensino médio: o que dizem os livros? o que pensam os professores?

The discussion about explanation in knowledge has been made for decades. Through this course, we present different ways of understanding about what is to explain the history: the primitive ethnographic description, the chronicler, the positivist construction of a historical science and historiography of the second half of twentieth century. Nowadays this discussion needs to be continued both in the general framework of scientific practice as within educational institutions as cognitive - linguistic ability. The focus of our research is by the second approach, which is the explanation as cognitive - linguistic ability. The formation of skills, among them, the explaining one, has been studied by the authors as: (NÚÑEZ 2012; JORBA et al, 2000; SANMARTÍ and IZQUIERDO 2000). This research had as general purpose: to study the processes of formation of the ability to explain social revolution in history classes in high school, by teachers opinion and by content as this theme among history books, in order to support the continuing education of history teachers for high school. Th e qualitative based research used instruments of data collection and analysis protocol for the books prepared for this study, and interviews with teachers. For this, the techniques of content analysis and discourse referenced in Bardin and Orlandi , respec tively were used. At first, the instruments for data collection were developed and validated, while in the second, the data were collected, organized and analyzed. From the answers to the questions of the study results shows that: a) in the analyzed books - do not express the work with the definition of Social Revolution, considering the processes for the formation of this definition, the predominant type of explanation has characteristics of multicausality; proposals for teaching are characterized as eclec tic; b) while teachers speech - it is important the students know the definition of Social Revolution, the ability to explain is more linked to didactic explanation in the classroom than the explanation through epistemological sense. These results indicate that the formation of the ability to explain Social Revolution based in Cultural History approach, are not expressed in the analyzed books, but they can serve as an important resource for this purpose. The discourse of teachers has a potential pointing to the possibility of teaching organization and learning process, based on training or upgrading the explanation skill from the theory of stepwise formation of mental actions and concepts by P.Ya. Galperin. For this purpose, the research constitutes a contri bution to support the continued education of history teachers in high school.

Impacto da atividade física na qualidade de vida em mulheres de meia idade: estudo de base populacional

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Síndrome metabólica e fatores de risco relacionados em crianças e adolescentes com excesso de peso na cidade do Natal

Nas últimas décadas, houve grande aumento da prevalência de obesidade, inclusive na faixa etária pediátrica. Com isso, aumentou o número de crianças e adolescentes afetados por síndrome metabólica (SM), diabetes tipo 2 (DM2) e doenças cardiovasculares (DCV), doenças anteriormente consideradas quase exclusivas de adultos. Os objetivos do estudo foram identificar e correlacionar marcadores antropométricos (IMC- índice de massa corpórea, CA- circunferência abdominal, RCQ- razão cintura/quadril, RCArazão cintura altura e PSE- prega subescapular), PAS e PAD- pressão arterial sistólica e diastólica, respectivamente, e laboratoriais (CT- colesterol total, HDL, LDL, TGL- triglicérides, I/G- razão insulina glicose, HOMA- homeostatic model assessment for insulin resistance) de risco para o desenvolvimento de SM e observar a sua prevalência em crianças e adolescentes com excesso de peso. Foi conduzido estudo transversal, em amostra aleatória, de conveniência, onde foram avaliadas 60 crianças e adolescentes com excesso de peso, atendidas no ambulatório de endocrinologia pediátrica do Hospital de Pediatria da Universidade Federal do Rio Grande do Norte (UFRN) com idade mínima e máxima de 7 e 15 anos, de maio de 2009 a abril de 2010. Foram admitidos os indivíduos que apresentavam sobrepeso (IMC P > 85 e < 95) ou obesidade (IMC P > 95) (CDC, 2000) e história familiar positiva para DM2 em parentes de primeiro ou segundo grau ou algum dos sinais de resistência insulínica (acantose, hipertensão arterial, dislipidemia, síndrome de ovários policísticos). 2 O componente individual para SM mais prevalente foi o percentil da CA ≥ 90 (58,3%), seguido de HDL ≤ 40 mg/dl (36,6%). Na regressão linear simples, observaram-se as variações para mais nos parâmetros laboratoriais e de PA para cada unidade de aumento de IMC, CA, RCA, RCQ e PSE, sendo significantes as seguintes correlações: CA com TGL, HOMA IR, I/G, PAS e PAD; RCQ com TGL, HOMA, I/G, LDL e glicemia; RCA com TGL; PSE com TGL, HOMA-IR, I/G e PAS; e IMC com HOMA IR, I/G, PAS e PAD. De acordo com os critérios da IDF (Federação Internacional de Diabetes International Diabetes Federation) 2007, o diagnóstico de SM foi encontrado em seis indivíduos (10%). Do total, oito (13,3%), estavam em situação de sobrepeso e 52 (86,6%), obesos. As evidências de correlação CA e RCQ, medidas de obesidade centrípeta, com vários marcadores como TGL e HOMA, já sabidamente relacionados à SM, chamam atenção para a necessidade de utilização dessas medidas de forma mais rotineira na prática pediátrica, por serem de fácil obtenção, baixo custo e método não invasivo. Os valores de CA, RCQ, RCA e PSE, quando elevados devem justificar maior detalhamento na avaliação laboratorial de possível resistência insulínica. É importante a identificação de crianças e adolescentes que preencham os requisitos para o diagnóstico da SM, pois são indivíduos de maior risco metabólico e devem ser adequadamente acompanhados.

De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas

The present dissertation analyses Leonhard Euler´s early mathematical work as Diophantine Equations, De solutione problematum diophanteorum per números íntegros (On the solution of Diophantine problems in integers). It was published in 1738, although it had been presented to the St Petersburg Academy of Science five years earlier. Euler solves the problem of making the general second degree expression a perfect square, i.e., he seeks the whole number solutions to the equation ax2+bx+c = y2. For this purpose, he shows how to generate new solutions from those already obtained. Accordingly, he makes a succession of substitutions equating terms and eliminating variables until the problem reduces to finding the solution of the Pell Equation. Euler erroneously assigns this type of equation to Pell. He also makes a number of restrictions to the equation ax2+bx+c = y and works on several subthemes, from incomplete equations to polygonal numbers

Trajetória do hospital dia Dr. Elger nunes: um recorte histórico da psiquiatria e saúde mental no Rio Grande do Norte

In Brazil, the mental health network proposed by the Psychiatric Reform inserts the intermediate and replacement services in the pursuit of alignment or resocialization of patients with mental and behavioral disorder in the community. Was adopted, among other services, the Center for Psychosocial Care, Home Therapy, Sheltered Home, Day Hospital and psychiatric beds in general hospital. In this context, the State of Rio Grande do Norte implanted the Day Hospital Dr. Elger Nunes (HDEN) in Natal / RN in 1996, linked to State Department of Public Health. At HDEN happened a multi and interdisciplinary therapeutic work, besides being the scene of disciplinary practices, and extension projects for graduate courses in Higher Education Institutions in the city. However, with the process of decentralization of local services, the hospital was terminated by an administrative state act in 2006, leaving damage to the activities provided to users, disciplinary practices and extension activities. From this breakdown, the objective was to narrate the trajectory of HDEN through a multidisciplinary team of professionals and teachers who used it as a field of disciplinary practices. It is characterized as a documental and qualitative, backed in the technique of thematic oral history, following the phases: authorization of the interviewee, interview recording, transcription, textualization and transcreation of the material obtained. We used documents, ordinances, general reports of activities, among others, plus interviews to fifteen employees who used this service, being thirteen part of the multidisciplinary team of professionals and two graduation professors of health care area, nursing and medicine. The stories collected were organized according to the technique chosen, respecting its steps. In preparing the body subjected to ALCESTE computer program, priority was given to the vital tone for the formation of categories and classes elected by the program, structured in three thematic areas. In the first axis, called Trajectory of HDEN, were recalled the beginning of its activities, the steps of that time, their activities, and its actors - users, families, professionals, and teaching practices. The second axis has dealt with the process of extinction of HDEN, rescuing the feelings of employees, the main reasons given at the time and immediate postextinction scenario. And the third axis revealed in an articulated form the situation of mental health in Natal / RN, listing to the challenges and prospects for the psychosocial care, starting from the trajectory of HDEN with emphasis on activities. Moreover, the trajectory of HDEN provides recognition of the historical basis outlined in the constitution of the network of substitute services present in the current scenario of psychosocial care in the city of Natal and in RN.

Modelagem linear e identificação do modelo dinâmico de um robô móvel com acionamento diferencial

This work presents a modelling and identification method for a wheeled mobile robot, including the actuator dynamics. Instead of the classic modelling approach, where the robot position coordinates (x,y) are utilized as state variables (resulting in a non linear model), the proposed discrete model is based on the travelled distance increment Delta_l. Thus, the resulting model is linear and time invariant and it can be identified through classical methods such as Recursive Least Mean Squares. This approach has a problem: Delta_l can not be directly measured. In this paper, this problem is solved using an estimate of Delta_l based on a second order polynomial approximation. Experimental data were colected and the proposed method was used to identify the model of a real robot

Física do meio ambiente: desafios de uma disciplina focada na formação de habilidades gerais

A disciplina Física do Meio Ambiente (FMA) foi criada em 1976 no Departamento de Física Teórica e Experimental da UFRN e, atualmente, faz parte da estrutura curricular do curso de Licenciatura em Física da UFRN e é de caráter obrigatório. Tal caráter se justifica, dentre outros motivos, pelo fato de que esta disciplina representa uma boa oportunidade dos licenciandos estudarem de que forma a Física pode contribuir para a compreensão de fenômenos relativos ao nosso Meio Ambiente, sejam eles relacionados às atividades humanas ou aos fenômenos naturais propriamente ditos e que, de uma forma ou de outra, afeta a sociedade. O nosso trabalho de pesquisa teve como objetivo principal elaborar um novo programa de ensino para a disciplina de Física do Meio Ambiente adequado às necessidades da educação científica para o século XXI. A pesquisa foi conduzida inicialmente com um levantamento histórico da disciplina desde sua origem no Departamento de Física ate os dias atuais, analise dos Projetos Pedagógicos do curso de Licenciatura em Física da UFRN, revisão bibliográfica sobre as definições de competências e habilidades em um contexto de ensino e segundo o pensamento de vanguarda nesse campo de pesquisa, acompanhamento do curso durante um semestre através de aulas observacionais, aplicação de questionário para a coleta de dados e análise de alguns livros didáticos de Física do Ensino Médio. A partir do perfil ou modelo profissional para o licenciado em Física da UFRN definimos os objetivos gerais para a disciplina de FMA em termos de habilidades gerais relacionadas com as atividades que um futuro professor de Física irá desempenhar no seu dia a dia. O nosso programa de ensino foi pensado no sentido de introduzir conteúdos de didática específica ao longo da disciplina, isto é, familiarizar os professores em formação com investigação e inovação didáticas voltadas para o ensino de temas que envolvam a conexão entre Física e Meio Ambiente. Como resultado de nossa pesquisa foi proposto um novo Programa de Ensino para FMA que pode ser útil aos futuros professores desta disciplina e foi elaborado segundo uma metodologia de organização científica do processo ensino

Doadores de sangue: qualidade de vida e atendimento em hemocentro de Natal / RN

The context of blood donation in Brazil faces problems since the start of its operations in the 1940, in the beginning the biggest obstacle was obtain safe and qualified blood, and then, established criteria for donations, the barrier is the low number of suitable candidates for donation. This suitability is associated with the good health of those who goes to the services of blood banks and the return of the donor is often conditioned by the way care is given and perceived by the user. The quality of life, defined as a perception that a person has of her/his position in the world, can influence the health and emerges as a way to focus on the subjectivity in a context dominated by objective and practical exams; listen to the views about the received services increases the focus on the user and provides feedback to the institution, guiding and planning its future actions. The purpose of this study was to verify the quality of life in blood donors and their perceptions of care in a blood center in Natal/RN. This is a descriptive cross sectional study conducted with blood donors from Dalton Cunha Barbosa blood center. The used protocols were: a structures questionnaire with questions on sociodemographic and services perception data, and SF-36 quality of life instrument. The sociodemographic and SF-36 data ware analyzed using descriptive and inferential statistics, using the statistical package PASW 18.0; those related to treatment were submitted to thematic content analysis. The results revealed a sample mainly composed by men, married people, who attended high school and had already made previous donations, with the first two groups returning more often for donations. The scores of the SF-36 confirm the certificated of good health of the screens, beind high in all areas and featuring a healthy population; statistically significant differences were denoted between sexes, levels of education and marital status. The speeches about the service were mostly positive and had as main focus acess, agility, technical aspects and subjective feelings. The data regarding the Rio Grande do Norte blood donors profile confirmed some characteristics of the Brazilian ones, those data of the SF-36 were similar to those found in studies with healthy groups and the impressions about the care received show similarities with national and international studies about the attendance at blood banks

Geometrizando no segundo ciclo :relato de uma intervenção pedagógica voltada à construção de conceitos geométricos no ensino fundamental

This work has proposed to relate the experience product of a pedagogical intervention, performed in a public institution of teaching situated in this capital. It had as objective to validade the applying of a teaching module of geometry, more specifically about the conceptions of perimeter and área in the second cycle of fundamental teaching. This dissertation has presented the problematic which involves the teaching of geometry in different contexts. It has adopted the broach of the radical constructivism while methodological theoretical referencial through which it has tried to explain the phenomena that involves the teaching and the apprenticeship. It appropriates Jean s Piaget contributions related to the development stages, while referencial that will dialogue in the search by sense and comprehension of the geometric apprenticeship process and it runs over Richard s Skemp (1980) theory in order to explicit the student s apprenticeship according to the levels of instrumental comprehesion and relacional comprehension . The research has presented datum related to initial diagnosis evaluantion, the pedagogical intervention and analysis of the activities and students perfomance displaying still the results of the final evaluation. According to the results got, we could check the students group growth front to the acquisition of the concepts of perimeter and área in comparison with the previous knowledges presented in the initial diagnosis evoluation of the students participants of the research. We have concluded evaluating the objectives of the research, connecting the strategies and reasoning employed by the students in order to resolve the questions and then to reach the objectives proposed by the teaching module. We have presented still the main obstacles to the apprenticeship of such concepts