O uso pedagógico de uma seqüência didática para a aquisição de algumas idéias relacionadas ao conceito de números complexos

The aim of the present work is to contribute to the teaching-learning process in Mathematics through an alternative which tries to motivate the student so that he/she will learn the basic concepts of Complex Numbers and realize that they are not pointless. Therefore, this work s general objective is to construct a didactic sequence which contains structured activities that intends to build up, in each student s thought, the concept of Complex Numbers. The didactic sequence is initially based on a review of the main historical aspects which begot the construction of those numbers. Based on these aspects, and the theories of Richard Skemp, was elaborated a sequence of structured activities linked with Maths history, having the solution of quadratic equations as a main starting point. This should make learning more accessible, because this concept permeates the students previous work and, thus, they should be more familiar with it. The methodological intervention began with the application of that sequence of activities with grade students in public schools who did not yet know the concept of Complex Numbers. It was performed in three phases: a draft study, a draft study II and the final study. Each phase was applied in a different institution, where the classes were randomly divided into groups and each group would discuss and write down the concepts they had developed about Complex Numbers. We also use of another instrument of analysis which consisted of a recorded interview of a semi-structured type, trying to find out the ways the students thought in order to construct their own concepts, i.e. the solutions of the previous activity. Their ideas about Complex Numbers were categorized according to their similarities and then analyzed. The results of the analysis show that the concepts constructed by the students were pertinent and that they complemented each other this supports the conclusion that the use of structured activities is an efficient alternative for the teaching of mathematics

Atribuição de significado ao conceito de proporcionalidade: contribuições da história da matemática

This study is the result of a work which approaches the Mathematics History how source of the meaning s attribution in the proportionality concept. We adopt the methodology of the source qualitative and we work with a group of teachers from instruction s public system of the fundamental and medium level from Pocinhos City Paraíba. For the data collection, we use the field notes, the questionnaire, a sequence of activities and the interview semistructured like instruments. The study had how objective to know the significates attributeds to proportionality concept through of the activity mediate from Mathematics History, besides to investigate if a approach of the nature enables modification according to this sense. The results obtaineds though the data analysis indicate that the activities bring contributions which refer to achieve objectives. On the other hand they also showed that we have a long trajectory to be trailed in the meaning of to turn the Mathematics History a subsidy effective in the teachers practice, in view of the formation absence in the knowledge area, besides the necessity of the approach adequated of the Mathematics History in the didatics books of Mathematic

Proposta para uma abordagem do conceito de oxirredução no Programa Nacional de Integração da Educação Profissional com a Educação Básica na modalidade de Educação de Jovens e Adultos Educação Profissional Técnica de Nível Médio (PROEJA)

The National Program of Professional Education Integration with Basic Education for Youngsters and Adults (PROEJA) Technical Professional Education Ensino Médio has opened a new chapter in the history of education in Brazil, making possible the integration of basic education and professional education. This new form of education, which is still in its early implementation, presents a series of challenges to be overcome. Specifically about the teaching of Chemistry, didactic material to match PROEJA s specific needs is practically inexistent. Thus, this work has the purpose of developing didactic material for the teaching of Chemistry for Professional and Technological Education of Youngsters and Adults in the courses of Electronics, Technical Electronics and Maintenance and Support for Computing at Instituto Federal de Educação,Ciência e Tecnologia do Rio Grande do Norte. This material aims at working chemical concepts of oxi-reduction reactions through a theme approach following Freire s conceptions for the teaching of Youngsters and Adults

Capacitação no Programa de Saúde da Família: divergências sobre o conceito de visita domiciliar nas equipes de Presidente Epitácio, São Paulo

O Programa de Saúde da Família (PSF) tem por intenção - e mérito - mudar o foco da atenção à saúde centrada no médico e na cura das doenças, para uma atenção centrada na promoção da saúde e prevenção de doenças por meio de uma equipe multidisciplinar. Para atingir esse objetivo, tem na prática de trabalho da visita domiciliar um dos instrumentos fundamentais para o entendimento da totalidade dos condicionantes que afetam a vida do cidadão. Neste artigo, discutem-se os conceitos de visita domiciliar com que operam as três principais categorias de trabalhadores do PSF - médicos, enfermeiros e agentes comunitários - , assim como sua relação com a formação no curso básico. A metodologia se baseia na técnica do discurso do sujeito coletivo a partir das entrevistas aplicadas. Concluímos que a falta de uniformidade sobre o conceito de visita domiciliar pode interferir na proposta de mudança do modelo de atenção à saúde. O artigo tece ainda considerações sobre as distintas concepções de visita domiciliar e sua relação com a organização do trabalho no interior das equipes.

Foucault e a (bio) política: possibilidades e metamorfose de um conceito

The fundamental question developed in this research is to consider the possible meanings of biopolitics in the thought of Michel Foucault. In the first chapter of this study seeks to examine the rationality of biopower. It is able to show the rationality of acting as a social machinery for the manufacture of the subjectivity of individuals, biopolitics as a producer of bodies and subjectivity. The theme of biopolitics appears as inspiration of Nietzsche's metaphor of war. The idea that history is the war for dominance of the bodies. In the second chapter, the (bio) political will and political thought of resistance, fighting criticism as an attitude of revolt of the subject before his condition subjugated. The biopolitical here is intended as a conceptual tool for reading the thought / Foucault's work. A resistance that can be thought of as a biopolitical as a "refractoriness reflected". The third chapter will seek to show how the Foucault argues that power was already present the ethics of self-care. If the subject is a product, is captured by the discourse of biopower that manufactures its subjectivity, self care, it's time to think about the inner contents. Self care is something that offers resistance, as a possibility to think that these contents are constructed historically, and that therefore it is possible to reestablish the self-care is a policy of fighting these sedimented content that promotes colonization of the subjects. You can move from ruler to ruled itself, although this pursuit of liberty is always unfinished, always be a tension, a desire for freedom that can be undertaken not as a state, but at least the minimum and temporarily in other forms of existence, and other ways of relating, other ways of sociability, friendship, sexuality

O conceito de liberdade em o ser e o nada de Jean-Paul Sartre

This dissertation aims to address the concept of freedom from the perspective of the French philosopher Jean-Paul Sartre with reference to the main work Being and Nothingness. After presenting the concept of freedom we will try to show that it is related to the notion of responsibility, which will lead, ultimately, to define the Sartrean philosophy as a philosophy of action. In the first chapter we will present in passing the phenomenology of Edmund Husserl, philosopher from which Sartre will develop his concept of freedom. The Husserlian notion of consciousness (intentionality) is the way to develop his analysis of Sartre phenomenon of being. From this analysis Sartre submits their concepts of being in-itself and being for-itself. Being initself is defined as the things of the world devoid of consciousness, are the things that surround us. The In-itself has as its main brand positivity: it is what it is, is all that can be said about him. In turn being For-itself is the very being of man, which differs radically from the In-itself. The For-itself has as its main intentionality, ie, its ability to project outside itself in existence. That's when Sartre shows that this type of being realizes its existence on the basis of a constant nihilation. Here comes the notion of anything. Among the relations of the For-itself with the surrounding world stands a very special: relationship between consciousnesses. It is when we discuss the issue of another. Intersubjectivity, through sartrean analysis of look, show that the For-itself assumes a new existential dimension: the being-for others. That's when Sartre will emphasize his notion of conflict. The conflict in intersubjectivity would come from the fact that you want to take another- For-itself as an object. Given this we will analyze what Sartre called the concrete relations with others. The philosopher submit such relations in the form of ducts and conduits assimilation of ownership. In the first my-self to try to "get lost" in the consciousness of another, ownership of my conduct in-itself tries to "take ownership" of the subjectivity of the other and try to treat others as things, as objects. In this sense Sartre examines the experiences of love, masochism, indifference, desire and sadism. Following this route we will enter the land of freedom itself, which is the major theme of our work. Since Sartre defines the For-itself as a being that is projected to create your way of being, it can only define it as freedom. The freedom of the For-itself is taken in terms of autonomy of choice. Once the For-itself has no way of being a thing as being in-itself, it just may be picking up, that is, making your being. Here Sartre speaks of the anguish that would be the symptom of freedom itself. The fact that the For-itself have to choose on whether the call as one being distressed. However, in most cases the For-itself tries to escape from the anguish of freedom and takes refuge in bad faith. After setting the man (For-itself) as freedom Sartre defends that he is totally responsible for what he does of himself. Once the philosopher holds that man is not predetermined, ie, does not have an a priori essence, his philosophy has as its basic assumption the action. If Sartre argues that the For-itself must constantly choose your way of being, the action is the basis on which man will exercise his own freedom. In this sense we conclude the work with an approach to work Existentialism is a Humanism, which represent the entry of the philosopher on the practical aspects of life

O conceito de participação em João Escoto Eriúgena

This thesis aims at studying the concept of participation according to John Scotus Eriugena. The development of our research is based on an identification of Eriugena s sources, investigating the concept of participation since Dyonisus and the Greek Christian fathers, until the Periphyseon. To Eriúgena, the terms that are brought together in participation God, causes, and effects are, while everything that falls out of participation is not. Leaning on his understanding of the relation between cause and effect, according to which the effects participate in the cause and somehow are contained in it, he told us that all things and beings subsist eternally in God, and that God can signify Himself through the created things and beings. To Eriugena, creatures exist because they participate in the Divine Nature and receive their being from It, for nothing truly exists outside of It.

O conceito de consciência em o ser e o nada de J.-P. Sartre

This current discourse intends to prove how consciousness or Being-for-itself presents the idea that in its operation one can emphasize that it s Nothingness, transience and liberty in Jean-Paul Sartre s work O Ser e o Nada. To testify the proposed idea, the conception that Sartre gives to consciousness, representing nothingness, without any content that is connected to the possessor objects of a transphenomenal existence will be the starting point. This way, consciousness will be analyzed transcendently to the object that it s not, demonstrating its revealer-revealed condition, because it unveils a concrete world that exists against its idea, functioning as the revealer intentionality that there are beings instead of nothingness, obeying the ontological proof defended by Sartre. From this idea, every kind of consciousness will always be consciousness of something, a glance of the world, avoiding the fact that the consciousness could be considered nothing in the world. In order to live its original negation state of the world, apprehending this same world, with the purpose of a knowledge, it needs to be divided in two: the first degree consciousness or previous-reflexive cogito, that turns the proper reflexion possible, because, it s the consciousness proper transphenomenality of being different of all that connected to its existence being only its consequence; and the cogito, responsible to the positioning of the first degree consciousness, while aware of its own consciousness, that is, while being certain that knows. From this point, the way to untangle the consciousness or Being-for-itself will be developed as being Chasm, Liberty and transience. From this idea, it s intended to know how consciousness, that in Sartre s thoughts is originally nothing, could turn into Liberty that is presented in the field of transience? In other words, how these three internal structures imbricate one another to form consciousness in Sartre? First of all, it has to be considered the review of a conduct of human reality, the inquiry, that will be possible to understand how Nothingness exists as the mold of all kind of negation. After this, it will be shown, considering its way of existence, the human reality that is connected to Para-si, determined like nothingness, still is proposed like Liberty. Form this point, it will be possible to gleam how Liberty is lived deeply by Para-si in the shape of chasm, trying to how Para-si turns into nothingness, creating a chasm based on its proper liberty. Then, Liberty will be the proper mechanism used by Para-si to modificate its original chasm. The way Being-for-itself has to build to gain its goal will be projecting in transience, the building of something possible that brings one being back. However, will be demonstrated like Chasm can occupy the moment of a choice turning the decision instant an anguish stage, based on the failing of stability of the Being-for-itself, once nothingness persists in the field of the possibilities that human beings preserves in its essence while being essentially Liberty. From this idea, anguish will be studied as the proper consciousness of Liberty, being bad-faith the attempt of avoid Liberty trying to gain a shelter contradicting the fact that life is done of continual choices

Um Ensaio Sobre História Oral e Educação Matemática: pontuando princípios e procedimentos

Recently, we can perceive an intensification of assignments developed into Mathematical Education with the use of oral history as a research methodology. In this article, facing the living experiences during the preparation of our Phd tasks and later, when we had the role of advisors of scientific papers and of Postgraduate students in their researches also using the same methodology, we discussed the implication of ethics, mathematical education and oral history. Furthermore, we enunciated possibilities of the posture of the researcher before interviews, texts and iconography - photos and several images-provided by collaborators of our projects on Oral history and Mathematical Education.

Algumas considerações sobre o ensino e a aprendizagem do conceito de energia

Neste artigo procuramos abordar alguns aspectos relevantes sobre o ensino e a aprendizagem do conceito de energia, tais como as concepções de energia do senso comum e as relações entre transformações de energia e meio ambiente, bem como destacar a viabilidade da utilização de textos com abordagens históricas e, finalmente, analisamos um texto interdisciplinar que relaciona energia e meio ambiente. Com relação ao referido texto, discutimos a possibilidade de o mesmo levar o estudante a um entendimento das noções fundamentais de energia, mediante a contextualização histórica, social, política, econômica e ambiental dessas noções.

Lócus de controle e conceito de maternidade e paternidade em adolescentes

Locus of control is a construct that seeks to explain people's perceptions about the source of control of events, if the subject's own - internal - or belonging to some element outside of oneself - external. The location of individual s locus of control will suffer influence of their developmental period. During adolescence, individuals turn to the construction of their identity, and the structuring of sexual identity is a relevant part of this process, since the roles of males and females are the most important from the socio-cultural point of view. One of the roles that adolescents can take is the mother or father. We chose to head the adolescents who are not mothers and fathers, and question them about their concepts of parenthood. It is hypothesized that adolescents with internal locus of control will probably develop concepts of maternity and paternity in which they attach to themselves the responsibility for children. The aim of this study was to relate the locus of control s predominant dimension in adolescence and the way that these young people conceptualize parenthood. This is an exploratory analytical cross-sectional study accomplished with 400 adolescents from the classes of the sixth to ninth grade of high school at public schools in Natal / RN. We used as protocols: structured questionnaire involving sociodemographic questions and questions about the concept of parenthood, and the Multifactorial Scale of Locus of Control. Data were analyzed using descriptive and inferential statistics, with the aid of statistical package SPSS 18.0. The results regarding questions about the concept of maternity and paternity were analyzed using the analysis program often ALCESTE 4.7. The results showed that for boys and girls, maternity and paternity were characterized by the acquisition and assumption of responsibilities of adulthood. This concept is supported by the locus of control s classification of individuals, since most of the subjects of this study was characterized as individuals who tend to take responsibility for their life's events. For young people from lower classes (as the subjects of this research), the project of autonomy and social mobility is realized by the constitution of his own family and the ability to sustain it

Promoção da saúde: estratégias para a autonomia e qualidade de vida do sujeito com diabetes

O diabetes é uma doença crônico-degenerativa de grande prevalência na população mundial configurando-se enquanto sério problema de saúde pública. Por ser crônico exige dos sujeitos autocuidado e autogoverno longitudinal. A autonomia, por sua vez, é um direito fundamental e também um dos princípios da bioética mais discutidos na atualidade. Seu conceito é complexo e leva em conta a vida experimentada ao longo dos anos. Quando a discussão sobre autonomia se trata de diabetes, a dependência do outro e os conflitos no controle da doença, diante de novas regras e estilos de vida, nem sempre condizentes com os valores dos pacientes, torna-a fragilizada. Embora a autonomia seja claramente parte integrante do tratamento e alicerce para uma vida digna e de qualidade, observamos que os sujeitos se tornam ainda mais dependentes dos serviços de saúde, quando se deparam com o diagnóstico e não têm confiança para tomar suas próprias decisões diante da patologia limitadora. Por isso, há a necessidade dos serviços de atenção primária à saúde traçarem estratégias para promover a saúde desses sujeitos. Os Grupos de Promoção da Saúde são estratégias recentemente utilizadas para influenciar no nível de autonomia dos sujeitos, pois possibilitam, respeitando os limites éticos, a garantia de participação decisória no grupo, através de estratégias e treinamentos de habilidades com competências claramente definidas, que favorecem o empowerment e o protagonismo dos sujeitos. Desse modo, este trabalho objetiva identificar estratégias no âmbito da promoção da saúde na ESF, que contribuam para melhor autonomia e qualidade de vida dos sujeitos com diabetes mellitus, a partir de sua percepção. E, mais especificamente, analisar o perfil clínico e socioeconômico dos portadores de diabetes da ESF; identificar as experiências, necessidades e expectativas dos sujeitos com diabetes sobre autonomia, autocuidado e qualidade de vida; e realizar um levantamento em conjunto com os sujeitos com diabetes, sobre aspectos que sirvam de evidências para construção de propostas para implantação de um Grupo Estratégico de Promoção da Saúde GEPS, com foco na autonomia. Para isto, foi realizada uma pesquisa exploratória descritiva de abordagem qualitativa e quantitativa, com 65 sujeitos com diabetes acompanhados por uma Unidade de Saúde da Família do Município de Santa Cruz/RN. A pesquisa foi realizada em três etapas interdependentes: 1) coleta de dados clínicos e socioeconômicos, para o qual foi utilizado entrevista estruturada e análise retrospectiva dos registros feitos em seu prontuário; 2) a análise das experiências, necessidades e expectativas dos sujeitos sobre autonomia, autocuidado e qualidade de vida, que se utilizou de entrevista semiestruturada com 6 sujeitos, sendo 3 com mais e 3 com menos complicações autorreferidas e verificadas no prontuário; e 3) a construção coletiva de propostas para melhor autonomia e qualidade de vida dos próprios participantes do estudo, por meio de roda de conversa. Para a análise dos dados utilizamos software de estatísticas simples para os dados das questões fechadas de cunho quantitativo e os dados qualitativos foram analisados através da análise de conteúdo. Observamos que o perfil clínico e socioeconômicos dos sujeitos com diabetes aproximam-se das estatísticas nacionais, embora existam variáveis, como cor da pele, com variação significativa. A autopercepção dos sujeitos diante de algumas complicações divergem de registros encontrados em seu prontuário o que aponta uma possível desvalorização de queixas como hipoglicemia e disfunção sexual, como também baixa adesão ao tratamento por, muitas vezes, não terem suas opiniões valorizadas. As categorias encontradas: vida, qualidade de vida, diagnostico e enfrentamento do problema, autonomia, limites e dependência assim como as práticas coletivas de promoção da saúde, apontam para a necessidade de estratégias por meio de grupos que considerem as crenças e valores dos sujeitos, favoreçam sua emancipação e torne-os protagonistas de sua própria história e de seu processo saúde doença. A autonomia é fundamental para o exercício da cidadania efetiva. É por meio dela que os sujeitos transformam sua realidade e a si mesmo. A contribuição desta pesquisa consiste em identificar estratégicas que se propõe a potencializar a autonomia dos sujeitos, através dos GEPS, norteando a atuação dos profissionais na atenção primária à saúde, que deve sustentarse em ações de prevenção e promoção da saúde e também no incentivo à participação popular e protagonismo dos sujeitos

Serviço Social e terceiro setor: considerações sobre as atuais relações e condições de trabalho para o Assistente Social em Natal

The present study analyses the actual relations and work conditions found in the third sector in Natal city, in the context of productive restoration and increasingly retraction from the State in providing Social Service before the new approach that has been destined to the social issue. The study talks about the work of the social worker when fighting the different expressions the social issue has, such as social service provision as a way of teamwork associated to work relations and conditions, to accessible resources and quality control management. These are elements that affect and interfere in the accomplishment and in the work of the social worker itself. The State s improvement, according to neoliberal-political precepts and increasingly retraction from the public investment in the areas of social concern (health, social welfare, assistance) and in the wage and employment policy, besides expanding the partnership with the public and private areas, in search for social services with quality, it has diversified the structures of the professional work with the growth of the so called third sector institutions. However, the absorption of the social workers by the third sector groups in general, has as major features the impoverishment of work relations, the maintenance of an unequal salary model, pointing out the deadline contracts and/or single tasks that generate work instability. The research debates, with a critical view and full perspective, over the conception of the third sector, interpreted as an action that expresses functions and values, treated as a real phenomenon generated from the restoration of the capital based on neoliberal principles. This study aims for responding what the established work relations are and under what work conditions the social worker has been fitting in the third sector and how such a reality echoes in the current work conditions for a social work in the city of Natal, before this new model of state intervention that transfers part of the social service provision to distinctive divisions of society, among them the so called third sector. The research results have shown that like the other workers the social worker passes through the same crises, dilemmas, advances and challenges that occur in the world of employment and which are expressed in the drop of salary average in the growth of contemporary contracts, unemployment, and in the ever more selective requirements to one be included in the social spaces, where the professional work is done, having as a result a greater impoverishment of work relations and conditions as well as more vulnerability as a salaried occupation

Generalizações do conceito de distância, i-distâncias, distâncias intervalares e topologia

In this dissertation we present some generalizations for the concept of distance by using more general value spaces, such as: fuzzy metrics, probabilistic metrics and generalized metrics. We show how such generalizations may be useful due to the possibility that the distance between two objects could carry more information about the objects than in the case where the distance is represented just by a real number. Also in this thesis we propose another generalization of distance which encompasses the notion of interval metric and generates a topology in a natural way. Several properties of this generalization are investigated, and its links with other existing generalizations

Ação de impugnação de mandato eletivo: análise constitucional e novas perspectivas

This study is developed in setting in which the Federal Constitution of 1988 completed 22 years of validity, as well as in general elections (national and state) in country. From this perspective, there are multiple reflections, especially on the constitutional mechanisms of popular sovereignty consolidation, the integrity and legitimacy of elections and democracy itself. It has appeared timely, therefore, to examine the development of ensured instrument of these precepts. Thus, it is approached as an object of research to Action of Impugnation to the Elective Mandate- AIEM, under Art.14, § 10 and § 11 of the Constitution of 1988, considering its constitutional and electoral reasons. It is then aimed to review the second AIEM conceptions of scale, systematic interpretation, preservation of constitutional rights and its effectiveness. Specifically, it is analyzed the Action as to the forms of power that relate to this. then it is examined the democracy principal aspects related to the issue. Without being followed, it is the democratic situation in which it is operated. They are also examined the political rights, especially regarding restraint applied to ineligibility and the possibility of integrating the effects of an impugnatory origin. Following, it has been discussed the formation of an early panorama, consisting of constitutional principles applied to electoral constituencies and eminently procedural principles and, according to which subsidizes the operations of such Action. After that, addressing the Election Law, including its concept, its sources, the Electoral Court and its peculiarities and functions. It is also considered the elective office as to its definition, characteristics and ways of accessing and extinguishing it. Afterwards, the Action of Impugnation is studied from its historical evolution of laws, legal, concept and goals. Expanding on the theme, it s highlighted about their chances of traditional appropriateness (economic power abuse, corruption and fraud) and modern (abuse of economic power intertwined with political) business, including the suggestion of suitability in case of abuse of unique political power. It was also identified the injurious potential demand affecting these illicit to enable the Action. Subsequently, other relevant aspects were explored, such as the legitimacy ad causam, competence, secrecy, procedure, recklessness, bad faith, the purpose of the merits and manageable resources. In the end, it is demonstrated an evolution of AIEM, however, still insufficient to reach full intentions that rise it. It is proposed therefore to re-read the action from news perspectives, based on constitutional and electoral precepts, as well as wider interpretation of the appropriateness of their assumptions of suitability and effects, according to a systematic interpretation, all aimed at the preservation of constitutional rights and their own effectiveness