Área e volume da esfera

In this dissertation, we present a study on the teaching of volume of the sphere and the area of spherical surface. On this topic, a quali-quantitative was taken survey with the objective of identifying how these topics are addressed. For this, we made 14 questions to 30 teachers of Natal and the results of this survey are presented and discussed. After that, we present alternative ways to derive the formulas of the volume of a sphere and the are of a spherical surface

Aprendizagem significativa: uma proposta de ensino e aprendizagem da geometria euclidiana espacial no ensino médio

This dissertation is a research based on the Meaningful Learning Theory, with students from the second year of High School, in the city named Capinzal do Norte, state of Maranhão. The pedagogic approach of this research focuses on what to do and how to do so students can better grasp knowledge inherent to the Euclidean Special Geometry in a more meaningful and changing way, also that information may be kept longer in their brain, so it can last longer in the present and future. The methodological strategy adopted was the research-action, followed by the constant observance of a researcher on the matter with the purpose to ensure consistent results, which come from the use of a variety of data collector instruments, such as: Concept Maps, manipulatives, educational softwares and application of evaluative tests, besides the observations made throughout the process of investigation and the diagnosis itself. It is all due to the fact that we rely on the premise that knowledge is assimilated in particular and idiosyncratic ways, which means each and every student learns in different ways and in different periods of time. That is why it is so important to develop diversified methodologies to the same subject. This research adds to the other ones related to the theoretical frameworks of the Meaningful Learning Theory, of Concept Maps, of the use of technology on the educational process and of manipulatives, which purpose is to connect their common dots. This pedagogical intervention also focuses on the construction of the educational orientations with applicability directly on class, directed specially by the Mathematics teacher of the basic education, who might use them during your teaching practice. Such guidelines established here as an educational product aim to follow the Theory's assumptions that serves as basis to this research, thus becoming an educational element with a relevant significance. The results, with which we are faced, proved overwhelming to the proposed objectives in terms of learning, which were evident in the construction of Conceptual Maps, as well as in the use of Concrete Materials, in addition to serving as a motivational element to participating students of research. The results obtained are indeed reliable in terms of learning, considered the expected goals, and made us certain that the way we have approached the subject is consistent with a holistic education and that at the same time values the tiniest details, which are fundamental to all the learning-teaching process.

Consumo c(l)iente: abordagem do gênero anúncio publicitário em livros didáticos de língua portuguesa do ensino médio

Portuguese language textbooks, according to what has been preconized on the official document to education, have been configured on discursive genres imported from diverse spheres of human activity. Adverts, genre of ample social circulation, spread from the Advertising sphere to the schools and started being approached by these collectaneas as an object and a tool for teaching. Therefore, this research deals with the approach of ads in Portugese textbooks. These discursive practices matter for the impact or appeal they exert over the (new) consumers, among which High School students; for their representation in the capitalist system, which guides us on our relationships and social practices; and for the mix of languages that end up at their composition, once they encapsulate the spirit of our time, par excellence, the one from the verbal-visual genres. To understand the treatment given to these advertising pieces, from questions/commentaries related to them, two collections were selected by the Programa Nacional do Livro Didático – Textbook National Program (PNLD 2012) among the ones more used by public High Schools in Natal/RN. From Applied Linguistics, from mestizo, nomadic and inter/transdisciplinary identity (MOITA LOPES, 2009), this study falls within the discursive chain of the interpretive tradition of historical-cultural approach (FREITAS, 2010) and names the Bakhtin Circle and its language‟s dialogical conception as inescapable partners. The data of the colletaneas show that the genre approach can happen as concrete utterance, as linguistic artifact and as hybrid, at work with questions and without questions, with the predominance of its occurrence in the portion of the volume devoted to the study of grammar. In the literature chapters and production/interpretation of compositions, it insert is incipient or it doesn‟t happen in the volume. Such a provision has implications for multiliteracies (ROJO, 2012) of the citizen student, once the lack or the abundance of critical reading proposals for this genre, that demand from the student the exercise of knowledge that is necessary to the construction of linguistic and social meanings, can be responsible for guide to a more conscious consumerism (material and cultural) by the chief customers of the work under review. The approaches of the genres seems to indicate a gradual transition that such material have undergone, which means, from the focus on clauses to the focus on utterances, or even the approach as linguistic artifact to hybrid and the concrete utterance, in search of overcoming the traditional tendency of taking advantage of formal aspects of the language, to the detriment of enunciative ones, and for coming into harmony with the guidelines and parameters of teaching in contemporary times, bringing the school duties close to the rights in life.

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

Opiniões de professores do ensino médio: refletindo sobre os projetos escolares e a interdisciplinaridade

Official documents indicate to a curriculum organization that promotes the dialogue in different areas of knowledge. Among the proposals strategies are the "School Projects". This research appears from the staff need evidenced in the development of practice of the researcher in recent years as Pedagogical Advisor in high school. The comments made in the daily work on the kinds of projects and how they were developed in the school, generated concerns. They aroused the interest in further the discussion, aiming to reflect with teachers about the implementation of a pedagogic action on the use of educational projects in the classroom, as a didactic strategy which promotes the learning of students. In this sense, it seeks to develop studies and discussions by the application of questionnaires and the holding of a workshop with teachers in the area of Science of Nature and Mathematics in private high school institutions from Natal, searching opinions of them as the preparation and development of school projects. As general purpose, it aims to contribute with elements to the reflection of the teachers on the use of this strategy of education. For both, we propose: the knowledge of ideas/opinions of teachers on planning, development and evaluation of projects, both disciplinary and interdisciplinary, identifying the main difficulties of these teachers about the work with projects at school; reviewing projects developed at school after the press conference in a meeting with teachers, incorporating the identified aspects as weak points. In the course of the methodology research, questionnaires were used with open and closed questions for the lifting of preliminary ideas for teachers in order to subsidize the planning of a developed meeting later in the school itself on the subject in question. 10 teachers took part of the first step and 17 in the second one (pressconference). In the third stage, an individual interview was carried out and analysis of projects already developed. It is observed that, as the main difficulty for the development of projects in school, pointed to the time factor in the planning team, followed by excessive working hours for teachers that, generally, also work in other schools. Some teachers say they do not develop projects for not having knowledge of how to develop school projects, neither disciplinary, nor interdisciplinary

Despertando responsabilidade social no ensino médio por meio de temáticas associadas à física nuclear

Many discussions about the role of the school are on the agenda, in an increasingly complex society. Sociologists, educators, anthropologists, researchers of different areas seek that role. The objective of this dissertation is to contribute what we can consider the central role for the physics teaching, citizenship training. We have elaborated a didactic proposal to increase the interest of high school students on issues of social relevance and, throughout it, to promote the formation of attitudes of social responsibility, enhancing the formation of a more politically and socially active citizen. For the preparation of the proposal, studies were made on education for citizenship and on attitudes change, using as its main theoretical foundation the researches on the Science, Technology and Society curricular emphasis. The teaching of Nuclear Physics was integrated to our proposal, due to its pedagogical potential for the discussion of social, political and economic subjects related to scientific concepts and associated technologies. The educational proposal we have produced was applied on a high school class of a private school at Natal-RN. It was composed from the controversial issue involving the installation of nuclear power plants in Brazilian northeast. The methodology of role playing, in which students assumed social roles and produced specific subsidies for a public hearing and a later referendum, both simulated. In the analysis of the implementation of the proposal, we highlighted the difficulties but also the possibilities and the relevance of exercising skills such as reasoning, finding information, and arguing about of social problems. The results of the research showed the possibility of meaningful learning on Nuclear Physics contents, through this social, political, economic, scientific and technological contextualization using a controversial and real issue together with mechanisms that trigger for greater popular participation, as public hearing. It has also been identified changes in attitude by some students about issues related to Nuclear Physics. We hope, through this dissertation, to contribute to the formation of future citizens as well as to the initiative of teachers-researchers with pedagogical aims similar to those in the present work

Letramento literário na escola: o poema na aula de língua portuguesa no ensino médio

Esta investigación está incluida en las discusiones sobre las relaciones entre literatura y enseñanza, recortando el lugar de las escritas poéticas en las clases de Lengua Portuguesa en la Enseñanza Media. En términos epistemológicos, nuestra reflexión problematiza, entre otras cuestiones, el desplazamiento que ocurre cuando las manifestaciones literarias se apartan de sus soportes originales y se adentran a las escenas de la clase de lengua materna, transformándose en objeto de enseñanza y contenido didáctico. En el ámbito de las prácticas escolarizadas de la lectura literaria en la Enseñanza Media, nuestra reflexión tiene como objeto la didactización del género textual poema. En esa etapa de la enseñanza, el poema como componente curricular aún no está definido. Eso es ocasionado, de modo general, por dos razones: por la naturaleza específica del género y por los procedimientos didácticopedagógicos utilizados cuando se hace la lectura del poema en clase. En relación al modelo consagrado de la enseñanza de literatura en la Enseñanza Media, apoyado en la descripción de la historia de la literatura brasileña a través de esquemas cronológicos de movimientos estético-culturales, pretendemos hacer un desplazamiento en lo que respecta a ese abordaje y situar el letramiento literario a partir de las formas líricas recurrentes en la producción literaria en Brasil, en la perspectiva de la enseñanza de la lengua mediada por el estudio del texto. Para tanto, utilizaremos como aporte teórico las siguientes áreas del conocimiento: la teoría literaria, la lingüística aplicada y la pedagogía de la enseñanza de lengua materna

Princípio da Indução Matemática no Ensino Médio

We developed this dissertation aiming its in the process of teaching and learning of the Principle of Mathematical Induction and we set our efforts so that the students of the first year of the high school can assimilate the content having the knowledge seen in the basic education as foreknowledge. With this, we seek to awake in the student the interest on proofs, showing how much it s needed in examples that involve contents that he is already seen

Calculando distância em geometria espacial usando material manipulável como recurso didático

This work presents a proposal for introducing the teaching of Geometry Space study attempts to demonstrate that the use of manipulatives as a teaching resource can be an alternative learning facilitator for fixing the primitive concepts of geometry, the postulates and theorems, position relationships between points, lines and planes and calculating distances. The development makes use of a sequence of activities aimed at ensuring that students can build a more systematic learning and these are divided into four steps

Probabilidade no ensino médio

This thesis aims to show teachers and students in teaching and learning in a study of Probability High School, a subject that sharpens the perception and understanding of the phenomea of the random nature that surrounds us. The same aims do with people who are involved in this process understand basic ideas of probability and, when necessary, apply them in the real world. We seek to draw a matched between intuition and rigor and hope therebyto contribute to the work of the teacher in the classroom and the learning process of students, consolidating, deepening and expaning what they have learned in previous contents

Um estudo dos sistemas de amortizações SAC e francês no ensino médio apoiado na construção de planilhas Eletrônicas

The aim of this work is to provide a text to support interested in the main systems of amortization of the current market: Constant Amortization System (SAC) and French System, also known as Table Price. We will use spreadsheets to facilitate calculations involving handling exponential and decimal. Based on [12], we show that the parcels of the SAC become smaller than the French system after a certain period. Further then that, we did a comparison to show that the total amount paid by SAC is less than the French System

Uma justificava da validade do teorema fundamental da álgebra para o ensino médio

Among several theorems which are taught in basic education some of them can be proved in the classroom and others do not, because the degree of difficulty of its formal proof. A classic example is the Fundamental Theorem of Algebra which is not proved, it is necessary higher-level knowledge in mathematics. In this paper, we justify the validity of this theorem intuitively using the software Geogebra. And, based on [2] we will present a clear formal proof of this theorem that is addressed to school teachers and undergraduate students in mathematics

Análise do processo de internalização de propostas de educação ambiental em escolas de Ensino Médio no município de Acaraú-CE

To insert environmental education in the school is a very hard task, although the question has been largely discussed since some years ago. The main object of this research is limited to the way the contents of Environmental Education are inserted in school programs, as well as to assert that, as a law, it must be put in practice not only because it is obligatory, but because it is important to school programs, especially to Acaraú´s primary and secondary schools, having in view the importance of the natural resources in which schools are inserted and the development of ways to solve problems related to the quality of life of the dwellers of these places. It is important the study of the law 9795/99 on Environmental Education, passed on July 25th, 2005, by means of the decree no. 4.281, established in the Municipal Organic Law and other documents ruling the Environmental Education. Our purpose is to give orientation on Environmental Education to the above-mentioned schools aiming at the permanent formation about that subject, in order to constitute, in the future, a real net between school and community and to spread out concepts about sustainability. This way, poverty conditions should be faced as environmental problems, bringing about the relationship between natural resources and poverty. The making of shrimp beds, predatory fishing, swamp degradation and irregular occupation constitute elements to this research. The theoretic terms are based upon principles of Environmental Education, area sustainability and inter-disciplinarily and trans-disciplinarily in Environmental Sciences, which have been applied under the form of capacities and the presentation of documents, projects, maps, discussions and reflections about the mass social movements as a positive consequence of the implementation of this project

Relações entre mecanismos de coordenação e controle com desempenho organizacional: um estudo nas instituições públicas de ensino médio de Natal

This research aimed at relating coordination and control forms to organizational performance. The multicase study was applied in two public high schools: Centro Federal de Educação Tecnológica do Rio Grande do Norte and Floriano Cavalcanti. In order to accomplish these objectives, it was developed a qualitative analysis and considered coordination and control forms of several authors. Also was considered Sander´s (1984) model of organizational performance. The mentioned model considers two criteria to analyze organizational performance: one instrumental (efficiency and efficacy) and other substantive (effectiveness e relevance). The research attempts to show the importance of balancing these criteria in a way that effectiveness and relevance becomes more important at schools. It was proven that the use of bureaucratic coordination forms has the power to influence the evaluation on the instrumental technique. At the same time, it was observed that the use of mechanisms based on the autonomy of the school is related to efficiency and efficacy. The object of this research can be considered successful

A escola de ensino médio público noturno: uma conjuntura favorável ao protagonismo estudantil coletivo em contraposição ao protagonismo juvenil via empoderamento

Ce travail etude le protagonisme juvénile en école de enseignement sécondaire publique, avec emphase a l enseignement nocturne. Considere las médiations que determinent le paradigme du protagonisme juvénile defendu pour théoriciens pos modernes et documents de reforme de enseignement sécondaire brésilien. Montre que les explications sur le protagonisme juvénile font part d une conception de pouvoir juvenile, proposé pour organismes multilatérales avec la volonté de mobiliser les jeunes pauvres pour faire actions du combat a pauvreté dans les nations sur le point de développement, conjoncture auquel sont proposées théories et pratiques que viabilizent la subsistance des jeunes pauvres en situation de risque. Discute la question de pouvoir juvenile et indique que la proposition de le protagonisme juvénile via pouvoir ont une espace favorable dans le sphère du enseignement sécondaire, niveau de la plupart de jeunes. Montre que la défense de pouvoir juvenile occulte chances de actions étudiants collectifs que permetent une intervention sociopolitique au élève de enseignement sécondaire, qui ont selement une function de homologation. Propose une recherche de possibilités de incentifs a le protagonisme juvénile collectif ou protagonisme étudiant collectif, auquel le étudiant presente suggestions pour le planification et éxecution de activités didactique pédagogiques dans l`école publique de enseignement sécondaire. Defend que la gestion démocratique, avec emphase en procès participatif, c est la principal déterminacion pour le protagonisme étudiant collectif. Méthodiquement , considere las dimensions suivantes pour le protagonisme juvénile: a) configuration de protagonisme juvénile b) protagonisme juvénile dans perspective légal/institutionel ; c) enseignement sécondaire et protagonisme juvénile ; d) possibilité de construction de protagonisme étudiant collectif dans enseignement sécondaire nocturne en Rio Grande do Norte, état choisi pour recherche. Sistematize une technique de revision de litérature sur le thème et informations d une consultation de documents, au-delà de donné constants de Banc de donées de la recherche Le Enseignement Sécondaire Publique Nocturne :registre et analyse de expérience dans l état de Rio Grande do Norte. Conclusion : il faut contribuer pour débats sur la participation politique de les jeunes dans le enseignement sécondaire nocturne, en presentant possibilités reéles de protagonisme étudiant collectif ; opinions presentées pour élèves sont très importantes a une direction d un rôle académique fait pour institutions scolaires dans ce moment , parce que des étudiants sont correspondants a interlocuteurs privilégiés ; le élève peut et deut être consulté depuis le moment de élaboration jusqu a réalisation de activités scolaires ; bien que il y a des entraves et difficultés immanents au enseignement sécondaire publique nocturne, se forment noveaux espaces de démocratisation de idées