Utilizando processos geométricos da história da matemática para o ensino de equações do 2º grau

The present work had as principal objective to analyze the, 9th grade students understanding about the solutions of an equation of the 2° degree, using geometric processes of the History of the Mathematics. To do so, the research had as base the elaboration and application of a group of teaching activities, based on Jean Piaget's construtivism. The research consisted of a methodological intervention, that has as subjects the students of a group of 9th grade of the State School José Martins de Vasconcelos, located in the municipal district of Mossoró, Rio Grande do Norte. The intervention was divided in three stages: application of an initial evaluation; development of activities‟ module with emphasis in constructive teaching; and the application of the final evaluation. The data presented in the initial evaluation revealed a low level of the students' understanding with relationship to the calculation of areas of rectangles, resolution of equations of the 1st and 2nd degrees, and they were to subsidize the elaboration of the teaching module. The data collected in the initial evaluation were commented and presented under descriptive statistics form. The results of the final evaluation were analyzed under the qualitative point of view, based on Richard Skemp's theory on the understanding of mathematical concepts. The general results showed a qualitative increase with relationship to the students' understanding on the mathematical concepts approached in the intervention. Such results indicate that a methodology using the previous student‟s knowledge and the development of teaching activities, learning in the construtivist theory, make possible an understanding on the part of the students concerning the thematic proposal

Uma sequencia didática para o ensino da resolução da equação do 2. grau : adequação para o uso com professores

The present study aims to check whether the use of activities mediated by the History of Mathematics can contribute to improve the understanding of resolution the 2nd degree equation for teachers and undergraduates that reproduce methods of solving such equations, uncritically, without domain of the justifications for their actions. For this, we adapted a didactic sequence with activities that aims to cause a rediscovery of resolutive formula of 2nd degree equation through the method known as cut and paste. Finally, we presented the activity module containing the didactic sequence used during the study, as suggestion for use in the classroom, by the math teacher

Um estudo de aplicação das teorias da expectativa e da ancoragem na motivação para o desempemho de alunos do ensino médio

This thesis presents a study on Tversky & Kahneman s (1974) Anchoring theory, and Vroom s (1964) Expectance theory in the context of education and students motivation. It is surveyed 424 students of a secondary and agricultural technical school in Brazil Northeast (EAJ). The survey form try to capture the Vroom s Expectance Theory constructs of Valence, Instrumentality, Expectation and Motivational Force, and also the Tversky and Kahneman Anchoring effect in terms of grade expected. The main findings suggest that the minimum grade required by the school is much strong in driving the students motivation and performance than the Expectancy Theory. It was found that the different grades required drive the students to pursue different grade in the same way

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

Investigação histórica nas aulas de matemática: avaliação de duas experiências

This study reflects on some procedural aspects about the development of mathematics learning from the experience with investigative activities concerning the resolution of second degree equation, which was tested a proposal for education, supported the use of texts in history of mathematics. The survey was conducted in two stages, taking the first-served basis for the second, which was carried out with a study group remainder of the first experiment. The intention was to investigate how the group participant, known as the study group, involved in the implementation of activities of research in mathematics, supported the use of the history of mathematics. Based on the results achieved during the study, it was possible to understand that the activities of research enable the development of students, range of learning mathematics and the development of skills and expertise for research as a vehicle for construction of their mathematical knowledge. This approach proposed research into the classroom is important, both for prospective teachers of mathematics and for students from elementary school, bringing a new phase for mathematical education that will come to schools

Fatores determinantes da near miss materna em uma unidade de terapia intensiva obstétrica: avaliação das competências profissionais da área médica

Objective: Evaluate the determinants of morbidity and mortality in an obstetric intensive care unit and professional medical skills of students/residents at a university hospital. Methods: observational cross - sectional with 492 pregnant/pue rperal women and 261 students/residents. Patients were admitted to the obstetric intensive care unit during a year, being informed about the proposals of the study and a questionnaire was applied. The analysis was performed using Microsoft Excel 2013 and G raphPad6. Chi - square tests were used to evaluate risk factors and student t test evaluates resident/students' skills concerning the cognitive test and the Mini - Cex. Results: the main risk factors to near miss were: non - white race (OR = 2.527; RR = 2.342) ; marital status(married women) (OR = 7.968; RR = 7.113) , schooling (primary) (OR = 3.177 ; RR = 2.829) , from country town (OR = 4.643 ; RR = 4.087), low income (OR = 7014 ; RR = 5.554) , gestational hypertensive disorders (OR = 16.35 ; RR = 13.27) , re alization of pre - natal (OR = 5.023 ; RR = 4.254) and C - section before labor(OR = 39.21 ; RR = 31.25). In cognitive/Mini - cex analysis were noted significant difference in the performance of students on the subject (3.75 ± 0.93, 4.03 ± 0.94 and 4.88 ± 0.35). We still observed the best performance of residents, when compared to graduation students (p < 0.01). Conclusions: the prevalence of near miss was associated with socioeconomic/clinics factors and care issues, revealing the importance of interventions to improve these indicators. In addition, we suggest a better curriculum insertion of this subject in the medical Course disciplines due the importance to avoid the near miss through of adequacy of medical education.

Estado nutricional, desempenho motor e marcadores dermatoglíficos em escolares púberes

A fase da puberdade é o período em que ocorrem as maiores transformações características da adolescência. Por essa razão, este estudo objetivou identificar o estado nutricional, desempenho motor e marcadores dermatoglíficos em 2363 escolares púberes selecionados de forma estratificada, de ambos os sexos, com idades variando de 6 a 15 anos, matriculados no Ensino Fundamental (2ª a 9ª Séries) do ensino público no estado do Rio Grande do Norte. Foram avaliados o estado nutricional (Índice de Massa Corporal); as qualidades físicas básicas ( testes de coordenação, equilíbrio, agilidade, flexibilidade, força e velocidade); o potencial genético (método da dermatoglifia) e o estágio maturacional (auto avaliação de Tanner); Com relação ao estado nutricional observou-se que escolares acima do peso apresentam valores mais baixos em relação ao seu desempenho motor sendo esses valores, mais significativos nos meninos. No que se refere à maturação sexual, os resultados apontaram que os meninos atingem os estágios maturacionais primeiro que as meninas, não tendo encontrado correlação entre o potencial genético e os demais indicadores o que nos permite concluir que os escolares do estado do Rio Grande do Norte, principalmente os do sexo masculino sofrem influência significativa de seu estado nutricional e seu estágio maturacional no que diz respeito ao seu desempenho motor. Essa dissertação apresenta relação de interdisciplinaridade, tendo o seu conteúdo uma aplicação nos campos da Educação Física, Nutrição, Medicina e Enfermagem.

Síndrome metabólica e fatores associados: estudo comparativo com mulheres que apresentaram pré-eclâmpsia e gravidez normal, acompanhadas cinco anos após o parto

Preeclampsia is defined as an extremely serious complication of the pregnancy-puerperium cycle with delayed emergence of cardiovascular risk factors, including metabolic syndrome. The research aimed estimate the prevalences of metabolic syndrome and associated factors in women with preeclampsia and normal pregnancy followed five years after childbirth. This is a cross-sectional observational study using a quantitative approach, conducted at a maternity school in the city of Natal in Rio Grande do Norte state. The sample was composed of 70 women with previous preeclampsia and 75 normal selected by simple random probability sampling. Subjects were analyzed for sociodemographic, obstetric, clinical, anthropometric and biochemical parameters. International Diabetes Federation criteria were adopted to diagnose metabol ic syndrome. The Kolmogorov-Smirnov, Mann-Whitney, Student s t, Pearson s chi-squared, and Fisher s exact tests, in addition to simple logistic regression, were used for data analysis, at a 5% significance level (p ≤ 0.05). Statistical tests demonstrated elevated body mass index (p = 0.001), predominance of family history of diabetes mellitus (p = 0.022) and significantly higher prevalence of metabolic syndrome in the preeclampsia group (37.1%) when compared to normal (22.7%) (p = 0.042). Intergroup comparison showed a high number of metabolic syndrome components in women with previous preeclampsia. Altered systolic and diastolic blood pressure (p < 0.001) was the most prevalent, followed by low concentrations of high-density lipoproteins (p = 0.049), and hyperglycemia (p=0.030). There was a predominance of the metabolic syndrome in women with schooling 0-9 years (42.4%) (p = 0.005), body mass index above 30Kg.m 2 (52.3%) (p < 0.001), uric acid high (62.5%) (p = 0.050 and family history of hypertension (38.5%) (p< 0.001). Multivariate analysis of the data showed that the body mass index above 30 kg.m2, education level less than 10 years of study (p < 0.001) and family history of hypertension (p = 0.002) remained associated with the metabolic syndrome after multivariate analysis of the data. It is considered Women with previous preeclampsia exhibited high prevalence of metabolic syndrome and their individual components in relation to normal, especially, altered systolic and diastolic blood pressure, low concentrations of high-density lipoproteins and hyperglycemia. The factors associated to this ou tcome were obesity, less than 10 years of schooling, and family history of hypertension. Overall, this study identified young women with a history of PE exposed to a higher cardiovascular risk than normal

A influência do método pilates sobre a qualidade de vida em mulheres climatéricas

Objetivo: Avaliar a influência do método Pilates sobre a qualidade de vida em mulheres climatéricas atendidas pelo Sistema Único de Saúde. Métodos: Trata-se de um estudo prospectivo do tipo ensaio clínico randomizado, cego para avaliador, com amostra por conveniência, composta por 51 mulheres divididas em grupo controle (n=25) e experimental / Pilates (n=26), ao longo de 12 semanas. Os instrumentos usados para coleta foram: o Medical Outcome Study 36-item Short Form Health Survey (MOS SF-36 Health Survey) versão brasileira e o índice menopausal de Blatt e Kupperman. Os dados foram tratados com estatística descritiva e inferencial (teste t para amostra pareada e de Wilcoxon), com p≤0,05. Resultados: Observou-se que a amostra estudada apresentava idade média de 53,7±4,07 e 53,9±5,52 anos, IMC médio de 25,2Kg/m2±3,71 e 26,06 Kg/m2±2,56, no grupo controle e experimental, respectivamente. A maioria era casada, sem trabalho formal e com pelo menos o 2º grau completo. O grupo submetido ao método Pilates apresentou efeitos positivos sobre a diminuição dos sintomas climatéricos (19,6 para 12,2) com p= 0,001 (GE) e p=0,062 (GC), bem como apresentou significância estatística para comparação no parâmetro de capacidade funcional (p=0,001), limitação por aspectos físicos (p=0,05), dor (p=0,001), estado geral de saúde (p=0,001), vitalidade (p=0,001), aspectos sociais (p=0,027) e saúde mental (p=0,001) em mulheres na meia idade. Conclusões: Os resultados do estudo mostraram que 12 semanas de intervenção com o método Pilates apresentaram efeitos positivos sobre a diminuição dos sintomas climatéricos, bem como melhora nos domínios de qualidade de vida nestas mulheres, possibilitando efetivas propostas de intervenção profissional às especificidades deste público, com foco na promoção de saúde através de ações interdisciplinares

Fatores inibidores do uso de técnicas ambientais nos postos de combustíveis: um estudo de caso em Natal/RN

The objective of this work was to investigate the factors that inhibit the use of Environmental Techniques in the Gas Station of the city of Natal/RN. For this, a survey with the aid of a questionnaire was used like research instrument. It s used a sample for convenience, not probabilistic. For collection of the data, it was used directly application of the questionnaire to the Managers or Assistant managers of the gas station, in accordance with its availability or presence. The data was collected in all the regions of Natal (North, South, East and West). The population in accordance with the data of the ANP of September 2005 is of 111 ranks and the collected sample was of 86. To carry through the analysis of the data of this research had been used softwares Excel and Statistic version 5.0, for Windows. The analysis of data is divided in two parts; descriptive analysis and analysis of groupings (clusters). The results showed that bigger part of the interviewed ones has between 30 and 39 years of age; they have second grade completed; they had declared to have little between and reasonable knowledge how much to the use of Clean Technology (CT) in gas station; and a small part of the interviewed ones had informed to have much knowledge how much the resolutions of the CONAMA established for the Gas Station. Of the searched ranks, the majority is national(76.7%); the most accurate practice environmental used in the gas station are: it collects selective of oil used or contaminated and ecological tanks - coated with strengthened fibre glass; great part of the interviewed ones (33.8%) informed that never the TL makes planning of referring future action; about of the half of the interviewed ones (84.9%) they had more declared that its employees have of none to a reasonable level of training for deal with problems that compromise the environment; the majority of the ranks (72.1%) functions has for more then six years. It is observed that almost all the interviewed ones (96.5%) evaluate as being important or very important the implantation of CT in Gas Station and the great majority (82.1%) evaluates the difficulty in if implanting these technologies in Gas Station as being easy or very easy. In the analysis of cluster, it was verified existence of two groupings (as much in the variable of the barriers and benefits), being that inside of each clusters exists homogeneity and between clusters exists heterogeneity. In reality, everything is important or very important in the opinion of the interviewed ones. There only exists a small significant difference that separates them in clusters

Nas asas de Ícaro: uma análise da Pedagogia Freinet do 2º ao 5º ano do Ensino Fundamental na perspectiva da ação docente continuada

Célestin Freinet was one of the most memorable educators of the twentieth century. He presented some educational alternatives that had the objective of stimulating the construction of pedagogic actions to promote the social development of the student based upon a work centered on the free expression as the way to self-structure the knowledge. With a permanent proposal of research based on the enquiry-based learning, Freinet set human capacity (cognitive, social-affective, psychometrical) taking cooperation in consideration on the processes of knowledge construction. Based on this referential, this present work has the objective to show Freinet s pedagogy in a continuous teaching action from 2nd to 5th grade focusing the teacher s discourse and also the educative practice of the students of a city public school in Natal. The observed work revealed the teacher s discourse and educative experience and delineated the students development while immersed into Freinet s educational practice. By virtue of the nature and specificity of the theme that guided our research, we chose a qualitative approach to it, as a way of conducting ourselves during our investigative process. We observed and analyzed the method that was used to conduct the activities in the classroom, as well as the ways of expression that the children used through drawings, words (oral text), or through writing. We highlight, among the written texts, the individual and collective texts, and also letters and notes, which during some moments served as a base to express a diversity of languages. The results, after a analyzing the research data, point towards a teaching practice that favors the construction of a significant learning process through the grasping of the school environment, on which all these factors are based: society, knowledge acquisition, abilities, attitudes and values. This learning process also strengthens human solidarity bonds and mutual tolerance, on which the student s social life is seated.

As crenças docentes sobre a criatividade a as práticas pedagógicas criativa: o caso do programa do ensino médio inovador no RN

Estamos vivendo no século da criatividade em que os sujeitos precisam ser estimulados a criar e inovar nos processos de aprendizagem escolar. Nesse sentido, a criatividade precisa ser compreendida como um bem cultural, um direito de todos e uma condição histórica e cultural do sujeito, e não como uma capacidade inerente ao sujeito ou pertencente alguns poucos eleitos. Para que a criatividade do aluno seja estimulada, faz-se necessário, dentre outros elementos, que o conhecimento profissional do professor considere as crenças como componente de seu processo de profissionalização com o objetivo de reconhecer o seu papel e influências como formas de nortear as ações profissionais docentes. Para tanto, a presente tese tem o objetivo de estudar as crenças dos professores sobre a criatividade dos estudantes no Ensino Médio Inovador. O ensino, nessa perspectiva, mais especificamente, o ensino médio precisa inovar-se, e nesse processo, o Programa Ensino Médio Inovador PROEMI emerge como uma das iniciativas das políticas públicas educacionais vigentes. Para tanto, no intuito de fundamentar as nossas discussões dialogamos com autores que discutem a criatividade no contexto da educação, às crenças, o conhecimento profissional do professor e o ensino médio. Nessa pesquisa, 207 professores que atuam no ensino médio em escolas estaduais na cidade de Natal e sua Região Metropolitana dentro do PROEMI constituíram-se em nosso público-alvo. O instrumento de coleta de dados foi um questionário normativo de crenças contendo perguntas fechadas e abertas. Para a organização dos dados utilizamos os softwares estatísticos R. 2.15.1 e o Modalisa. O tratamento dos dados se deu mediante análises estatísticas como a análise descritiva dos enunciados, da média, do desvio padrão e a Análise de Componentes Principais ACP em relação aos resultados oriundos das perguntas fechadas e a análise de conteúdo em se tratando dos resultados referentes às perguntas abertas. Os resultados corroboraram com a tese de que os professores apresentam em suas crenças a predominância do enfoque tradicional ou clássico da criatividade, ou seja, creem-na como algo inato ao ser humano e que se desenvolve independentemente dos fatores sociais e culturais. No tocante às principais características do aluno criativo, a autonomia e o alto grau de originalidade em sua aprendizagem se destacaram, dentre outras características. Suas crenças, em relação aos elementos que inibem a criatividade do aluno apontaram que a escola, ao privilegiar os conteúdos escolares compromete a criatividade dos alunos e sobre os elementos que favorecem, destacaram-se as áreas da Arte, da Educação Física e da Literatura como disciplinas, que preferencialmente, desenvolvem a criatividade dos alunos no contexto escolar. Assim, constatamos que as crenças dos professores se configuram de forma reducionista e inatista e que precisam, urgentemente, ser repensadas para que não continue a comprometer o desenvolvimento da criatividade do aluno no contexto escolar, e nesse caso, as crenças se constituem em um dos elementos básicos da profissionalização docente que precisam constantemente ser repensadas e incluídas nas discussões sobre a formação e atuação docente, principalmente, dentro do PROEMI que tem como objetivo principal inovar e estimular a criatividade dos alunos no ensino médio

Segurança do paciente no sistema de medicação: análise de enfermeiros de um hospital de ensino

This study aimed to identify and describe the factors related to Patient Safety in a medication system according to the nurses analysis in a teaching hospital from the photographic analysis method. This was a cross-sectional, descriptive study with mixed approach in a teaching hospital in Rio Grande do Norte. The population consisted of 42 nurses from inpatient units, of which 34 composed the study sample. As eligibility criteria, we defined nurses from public service and nurses who agreed to participate. Ethical determinations were observed, the study was submitted to the Ethics and Research of the University Hospital Onofre Lopes, obtaining the assent with ethical assessment certificate (CAAE 0098.0.051.294-11). For data collection, we used the photographic method (Photographic Analysis Technique) by Patricia Marck (Canada). It was developed in two phases: at first, we randomly captured photos from the medication system, resulting in 282 images; then we selected/processed the photographs, which were reduced to 10 images in Microsoft Excel 2010; in the second phase, the nurses answered the questionnaire divided into socio-professional profile and Digital Photography Scoring Tool (questions a and b ). For analysis of the question a , we used the content analysis technique, and for b , we used the Statistical Package for the Social Sciences 20.0 (temporary license). The socio-professional profile revealed the predominance of females; age group 34-43 years; professionals with specialization; 10-18 years of length of service; and nurses working exclusively in the hospital and who know the Patient Safety. The photographic analysis in relation to Patient Safety resulted in specific categories for each stage of the medication system. Regarding disposal, we identified Proper verification ; Improper verification ; Correct identification ; Disposal in single doses ; and Improper Environment , with predominance of that last category. As for storage: Proper storage ; Improper storage ; Risk of exchange/disappearance ; and Poor hygiene , with special reference to improper storage. In preparation: Risk of exchanging medication/patient ; Inappropriate physical space ; and Inadequate 9 preparation of controlled drugs , highlighting the first category. In drug administration: Lack of Personal Protective Equipment ; Use of Personal Protective Equipment ; Improper administration technique ; Proper administration technique ; Correct drug identification ; Incorrect drug identification ; and Peripheral venous access without identification . From the safety assessment of 10 photographs, by adapting the scores (1-10) to the Likert Scale, we identified three Totally Unsafe (Level 1), three Unsafe (Level 2), three Partially Safe (Level 3), one Safe (Level 4), and no photograph considered Totally Safe. This study identified the prevalence of unsafety in the medication system in the nurses opinion. We were also able to understand that, although nurses identify safety aspects, the most prevalent categories characterize an unsafe assessment. Nursing needs to reflect on its practice, identifying gaps in the medication system in order to achieve a proper and safe care

Saberes de astronomia no 1º e 2º ano do ensino fundamental numa perspectiva de letramento e inclusão

This work suggests a discussion about methodologies and didactic-pedagogical activities for the teaching of Astronomy in first and second cycles of the primary school, in a perspective of literacy and inclusion. The presented proposals have been developed in a group of the Public School Alceu Amoroso Lima, North of Natal city, with children since six years old, amongst which two considered as being with special needs . This research aims to demonstrate that it is possible to develop with those children the contents of Astronomy, while they participate of the process of literacy and inclusion. From this, we are searching a theoretical-practical contribution so that the Parâmetros Curriculares Nacionais (Brazilian Nacional Curricular Guideness) include the referred contents in first cycle of primary school. For the accomplishment of this research, Experiential Astronomy was initially proposed. Later on, many workshops had been carried through (clay, ripping , crepon paper, plasticine, cardboard and gastro-lunar ). All the proposed activities were based on the conjunction of contents, which characterized the interdisciplinarity. Through the approach we adopted and the practices we proposed, we could evidence that not only children considered as being normal , but also that ones who carries special needs could appropriate themselves of our writing code, develop and incorporate a daily relationship close to the stuffs of the sky, learn many information about all of this, besides constructing attitudinal, procedural and conceptual contents

Propostas e discussões para o ensino de astronomia nos 1º e 2º ciclos do nível fundamental e na educação de jovens e adultos

This work aims to propose and to discuss methodologies and practical activities for Astronomy teaching in the 1st and 2nd cycles of the primary education and in the adult education. The proposals presented here were applied to students from the metropolitan region of Natal (RN), including students of the called normal education (formerly magisterial education) and of the undergraduate formation in pedagogy at the Instituto de Formação Superior Presidente Kennedy , and also, in particular, to teachers and students of public municipal school Escola Municipal Djalma Maranhão at the district of Felipe Maranhão II, also analyzing some didactic books used by these institutions. Several elements which we confronted with during this didactic-pedagogical experience were systematized, indicating principles, contents, reflections and procedures related to Astronomy teaching to students of those levels of education. Doing this we aim to make such an experience accessible to those interested in developing a similar approach involving the themes treated here as well as other ones related to Astronomy for those levels of education. The resources and practices implemented here aim to contribute to the effective realization of an interdisciplinary and contextualized education according to orientations proposed by the Parâmetros Curriculares Nacionais (Brazilian National Curricular Guidelines). In order to guarantee a broad accessibility to what we propose in this work, we intend to make available in printed form and also in an Internet page the procedures, instruction materials and texts we developed