Conteúdos de matemática do ensino médio com abordagem de raciocínio recursivo e questões do ENEM e OBMEP

In this work, we have the purpose of reminding the math teacher of High School the recursive process so that he/she can use this tool to introduce contents, using recursion as an alternative to the teaching of mathematics. For this, we used questions taken from the Exame Nacional do Ensino M´edio (ENEM) [National Examination of High School] and from the Olimp´ıada Brasileira de Matem´atica das Escolas P´ublicas (OBMEP) [Brazilian Mathematics Olympiad of Public Schools], in addition to present some contents of mathematics that are defined by recursion. In this dissertation, we also showed some activities that involved the recursive reasoning and were applied in a 3rd grade class of high school in a public school in Natal / RN.

Sequências de Fibonacci e a Razão Áurea - aplicações no ensino básico

This thesis aims to present a study of the Fibonacci sequence, initiated from a simple problem of rabbits breeding and the Golden Ratio, which originated from a geometrical construction, for applications in basic education. The main idea of the thesis is to present historical records of the occurrence of these concepts in nature and science and their influence on social, cultural and scientific environments. Also, it will be presented the identification and the characterization of the basic properties of these concepts and howthe connection between them occurs,and mainly, their intriguing consequences. It is also shown some activities emphasizing geometric constructions, links to other mathematics areas, curiosities related to these concepts and the analysis of questions present in vestibular (SAT-Scholastic Aptitude Test) and Enem(national high school Exam) in order to show the importance of these themes in basic education, constituting an excellent opportunity to awaken the students to new points of view in the field of science and life, from the presented subject and to promote new ways of thinking mathematics as a transformative science of society.

Argumentação em foco: a perspectiva de avaliação do ENEM

Nowadays ENEM is the main large-scale evaluation instrument of Brazilian education. Universities also often use it in order to select their candidates. Reading exam seeks to evaluate student’s capacity of producing argumentative and dissertation prose writing about a social, scientific, cultural or political theme. This paper is located in this context: we want to discuss the evaluation of ENEM’s Writing Exam argumentation. Our startpoint is presuppose that the capacity to develop a well-argued text evaluation goes through several specific skills, which cover different aspects of what is understood about argumentation process. Therefore, considering argumentation as an object of different theoretical approaches and covers different concepts, we intend to verify not only the approaches, but also subjacent concepts and how they were converted into skills and competences established on the ENEM Writing Exam’s matrix of correction. With regard to the nature, it is a theoretical paper, in other words, we intend to offer only a discussion about the theme, not necessarily offering a practical application. Concerning to the goals, it has an exploratory character as we intend to offer a problem treatment, in order to make it more explicit and them construct some hypotheses. In these terms, we surveyed some theoretical approaches about argumentation and presented three conceptions: rhetorical argumentation, textual argumentation and linguistics argumentation. At next, we analyzed the participant’s guide (ENEM’s 2013 Writing Exam ) and how each one of these conceptions are mobilized in the writing evaluation, beginning from how they are considered on the description of competences and skills up to used on correction. This analysis shows that is not assumed a very well established theoretical base, which can contribute to a certain fragility on the Writing Exam evaluation process.

Políticas de educação profissional técnica e de ensino médio no Brasil: a implementação no CEFET-RN (1998 2008)

This study has analyzed the high school and professional education policies (1998-2008) and their impacts on the Centro Federal de Educação Tecnológica do Rio Grande do Norte. It has presented an analysis and design of the productive restructuring process in the world of work and education, the technical, vocational education and high school policies in Brazil, referring to this period, as well as the changes in Cefet-RN for implementation of Political Guidelines of Vocational, Technical and High School Education. This study is guided by assumptions related to these policies, which are located in different historical moments. It is a study in which subjects are understood as historical and social beings, embedded in the economic, political and cultural rights which, by its actions, can be transformed. It was based on a theoretical framework consistent with the object of research to give it shape and meaning, serving as a parameter to address the problem outlined in research questions. It was used analysis of bibliographical material and specific documents from the Institution, semi-structured interviews with the subjects part of technical and high school. Results show that many of the recommendations in the present high school policies and vocational technical and high school education, implemented in Cefet-RN, for the period 1998-2002, show inconsistencies between what is said and what can be officially established in the pedagogical practice of teachers and professional practice of some graduates. Regarding the integration of vocational education with the high school (2005-2008) in this Institution, the study signaled that its prioritization failed to materialize in full, in Cefet-RN, although it was developed and implemented a Political-Pedagogical Project in 2005

A política de formação continuada de professores do ensino médio no RN: limites e possibilidades

El trabajo titulado La Política de Formación Continua de Profesores de Enseñanza Media en RN: límites y posibilidades tiene como objetivo analizar la política de formación continua de profesores de Enseñanza Media implantada en Río Grande del Norte. Parte del supuesto de que las directrices de formación continuada se articulan conforme a los organismos internacionales que desde la década de 1990 extendieron por América Latina un modelo homogéneo de formación, que tiene como principales características la de constituir un servicio a través de la modalidad a distancia y teniendo a la escuela como principal locus. En Brasil, estas características se apoyan en la Ley de Directrices y Bases de Educación Nacional nº. 9.394/96. Este trabajo es parte de un estudio que se desarrolla desde 2004 por la base de investigación Políticas y Gestión de Educación llamada Factores que influyen en la productividad de la Escuela Media: un estudio en Río Grande del Norte. El estudio en cuestión se centra en la dimensión pedagógica de la referida investigación y analiza la política de formación continua del personal docente, y considera como dimensiones de análisis la formación continua promovida en el ámbito escolar, ofrecida por la SECD/RN en el marco de la autoformación. Para la realización del estudio se hizo una búsqueda bibliográfica y documental que permitió la comprensión del objeto de estudio. La investigación empírica se realizó mediante la aplicación de cuestionarios, con preguntas abiertas y cerradas, a los maestros de Enseñanza Media de RN, y a través de entrevistas, semi-estructuradas de naturaleza complementaria, a las coordinadoras estatales de programas dirigidos a la Enseñanza Media. El análisis de los datos obtenidos muestra que no hay en SECD/RN una programación específica para la formación continua de los docentes de ese nivel educativo. Los programas implantados son de carácter nacional, de índole focalizada y no prestan atención a la mayoría de los docentes. La formación continua desarrollada en el âmbito escolar es prácticamente inexistente, y se limita a reuniones y algunos seminarios, sin mucha repercusión en la práctica docente. En cuanto a la autoformación son pocos los profesores que tratan de mejorar su práctica pedagógica con cursos de capacitación. Por lo tanto, se percibe una laguna en la formación de esos profesores y la necesidad de implementar acciones generales de formación continua que favorezcan una mayor y mejor articulación entre la formación inicial y continua, entre la teoría y la práctica, desde una perspectiva transformadora, en el sentido de superar modelos tradicionales de formación que no han tenido repercusión en la práctica docente

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.

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 inclusão do aluno com deficiência mental no ensino médio: um estudo de caso

La défense d une école inclusive dans les forums internationaux du monde entier a stimulé l adoption de politiques éducationnelles d inclusion et la pratique d inclusion dans les écoles, de sorte à ce que la scolarisation des élèves aux besoins éducatifs spéciaux dans les classes comunes est devenue une réalité dans la majorité des systèmes d éducation. Et pourtant, l inclusion scolaire, au Brésil, avance à pas lents et pose d innombrables questions, notamment quand il s agit de l inclusion des personnes qui présentent une déficience mentale dans les niveaux d enseignement plus avancés. Basé sur ce fait, et tout en considérant que les études et recherches sur ce thème, au Brésil, sont centrées majoritairement sur l éducation enfantine et les séries initiales de l enseignement fondamental, cette étude se propose d analyser l inclusion d une élève ayant une déficience mentale, inscrite dans l Enseignement Moyen, dans une école appartenant au réseau d enseignement de l Etat, dans la ville de Natal RN. Pour répondre aux questions proposées dans cette étude nous avons fait appel aux méthodologies qualitatives, du genre Etude de Cas, et au cours de sa réalisation avons utilisé l interview demi-structurée et l observation libre dans l ambiance naturelle de l école. Ont participé de l étude, en plus de l élève qui présentait une déficience mentale, sa mère et deux segments de l école, desquels ont fait partie trois professionnels de l équipe administrative pédagogique et quatre enseignants. L analyse des données a mis en relief la résistence de l école à répondre au projet pédagogique d éducation inclusive, aspect qui a un rapport très étroit avec les spécificités de l Enseignement Moyen, la structure traditionnelle d un enseignement basé sur l idée d une classe homogène, et le bas niveau d attentes des éducateurs concernant les possibilités d apprentissage et de développement de l élève handicapée mentale. De surcroît, le manque de directives pour conduire les adaptations pédagogiques et du curriculum à l école ont rendu fragile l action des enseignants, dont le résultat est une pratique d intégration rudement malmenée. Au travers des points de refléxions suscités par cette étude, nous considérons que l inclusion des élèves qui présentent une déficience mentale doit être centrée sur une pratique pédagogique qui repousse l idée de soumettre tous les élèves à des procédures universelles cristalisées sur des pratiques imposées par les contraintes d homogénéisation, et qui, contrairement, puisse trouver à l école des conditions favorables au développement de chacun, au travers des processus d apprentissages formés par des instances de médiation et d interaction sociales

O PROEJA ensino médio no ifrn, campus Caicó: causas da desistência e motivos da permanência

This dissertation deals about the theme of National Integration Program of the Professional Education to the Basic Education in the form of Youth and Adults Education - PROEJA, which was developed at the Federal Institute of Education Science and Technology of Rio Grande do Norte - IFRN - Campus Caicó. It aims to analyze the causes of the abandonment and the reasons for the permanence of students within the mentioned program. To substantiate this research, we used methodologically, some procedures such as bibliographical research, documentary analysis, semi-structured interviews and focus group. To analyze the data, we discussed the contradiction that involves duality and educational compensation based in the struggles and achievements of rights at the core of public policies for high schools, for vocational education and the education of youth and adults in the 2000s. We analyze the integrated high school under PROEJA, having as reference the conception of the total human formation; the inseparability of the primary education system and vocational education and the integration of knowledge and expertise as a whole, discussing the specificities of the modality EJA, discussing the causes of abandonment and the reasons for the permanence of the students of education for youth and adults (EJA) in the primary education system. As for the results, we found that although the PROEJA be a program that aims to provide a complete human formation to contribute to the full citizenship of their graduate members, what is announced in the document that guides its creation has not been materialized in Caicó Campus. The curriculum of the course was not designed for the students of EJA, nor teachers have had an adequate training to work with these specific individuals, and its specificities of being workers with differentiated learning times have not been considered. In addition, the courses are predominantly of instrumentalist characteristics. This indicates that the material and institutional conditions to achieve the promised total and complete training have not being fully materialized at the researched school. Associated with the difficulties concerning the intra-school and extra-school conditions, personal and socioeconomic conditions which are related to the obligation to work that implies in limitations to balance work, school and family, they influenced in the interruption of the school trajectory of these subjects. Through research, we confirmed that the motives of students who remain have to do also with intraescolares conditions the quality of education (qualification of technical staff and teachers) involved in the educational process, as well as socioeconomic and personal issues represented by the support of colleagues and family.Then it is concluded that the causes of abandonment and the reasons of the permanence are of institutional, socioeconomic and personal origins. Finally, it is observed that capitalist society demands as much as possible high levels of educated workers, and at the same time makes difficult the access to that education for much of the population, and it is not randomly. The objects of that exclusion are the popular worker classes and their children

Gestão ambiental na educação: um estudo sobre fatores que afetam o comportamento ambiental de professores do ensino médio, na cidade de Floriano-PI

The present work sets out environmental issues in educational field. The aim of this research was to investigate the factors capable to influence the environmental behavior of the teachers in High school of the public school in Floriano, state of Piaui. For this, the methodology utilized an explanatory and descriptive search like a survey; questionnaires were applied with open and close questions establishing shifts that made up the following aspects; knowledge, behavior, responsibility, participation and trait of the teachers. The statistic techniques to analyze the data were descriptive analysis and analysis of multiple regression. The results reveal that teachers care about the real surrounding problems and believe that the school must develop ambient activities to stir the consciousness, it is important to the environmental improvement of the city. However, the results point out that are developed little activities related to theme concerned, besides the level of ambient consciousness given to the students are median. It was observed that teachers have little knowledge about theme like Agenda 21 and ISO14000. After identifying some factors of environmental knowledge, it was showed recommendations. The Agenda 21 recognizes in the educational field a mean of popular consciousness; the school should develop an education according to national policy of the environmental education

O papel da leitura nas aulas de inglês: uma análise segundo a percepção dos professores do ensino médio de escolas públicas estaduais de Natal

This dissertation aims at investigating the teachers beliefs about the role of the reading ability in English at public state high schools in Natal and identifying the social value of the process of learning English for students of a foreign language. From the understanding of studies on reading, both in the field of Cognitive Psychology, as in Gibson & Levin (1975), as in the area of Psycholinguistics, as in Goodman (1970) and Del Re (2006), We researched the teachers perceptions about the skills and competencies that should permeate their educational practices, through their knowledge about theories of language acquisition as Cognitivism (Piaget, 1961) and Social Interactionism (Vygotsky, 1979) and the official documents (PCNEM, 1999; PCN+, 2002 ) that are the parameters for teaching a foreign language. We took into consideration other factors that influence the choice of the goals and the objectives to be worked out, such as: intensity of teachers workload, number of classes and students per class for each teacher, materials and technologies available, among other factors that will play an important role in the choice of the appropriate methodologies. To conduct a case study, two questionnaires were used in the construction of direct interviews with fourteen English teachers in twenty schools. According to data on the teachers beliefs we could find that for them the reading ability does not seem to have an special treatment in the teaching of a foreign language due to factors that undermine this process and therefore make teachers do not realize the real objectives of teaching English at public state high schools in Natal. As a consequence, the current process of education complicates the formation of autonomous learners capable of fighting for a social transformation

Avaliando a aprendizagem de língua inglesa em uma escola de ensino médio a partir de contribuições discentes

This study discusses the evaluation of the English language‟s learning developed in a public high school from Lajes-RN in 2011 starting from a qualitative evaluation proposal (SAUL 1988; CANAN, 1996; DEMO, 2008) aiming the production of knowledge about the evaluation process developed in the classes of English language involving the contributions from students. To diagnose and characterize the evaluation process of English language of the researched school, identifying the representations that students attributed to the evaluation, we have implemented the evaluation instruments suggested by students to perform the evaluation of language learning and allowed a reflection about the student‟s participation in the construction of the evaluation process of the English language, subject discussed by Sant‟anna (2002) and other theorists (CANAN, 1996; BRAZIL, 2002; PEREIRA, 2009). To conduct the research work, we use the qualitative approach with ethnographic basis, substantiate in authors like Bogdan, Biklen (1994), Mazzotti; Gewandsznajder (1998), Strauss, Corbin (2008) among others. The methodology was the action research (ANDRÉ, 1995; NUNAN, 2007; LANKSHEAR; KNOBEL, 2008) described as research of empirical basis which associates an action with a resolution of a collective problem, because in it, its researchers and employees are engaged in a cooperatively way (THIOLLENT, 1985). When we treat about the evaluation of English language‟s learning (ALMEIDA FILHO, 1993; SCARAMUCCI, 2009) practiced before and after the contributions made by the students of the second year of the refereed school, the study considers that high school students have a more critical and reflective conscience with regard to their evaluations, not just opining on the assessment of learning English but also about the assessment of other subjects from their scholar curriculum and so this research presents possibilities for performing the act of evaluation which consider the participation of students in decisions regarding this process, because we cogitate that when the teachers share the decisions with their students, teachers can add quality to the evaluation process

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

Caracterização do ciclo sono/vigília de professores do ensino médio em natal/rn

In the school environment is fundamental the knowledge about the sleep-wake cycle (SWC), because we find children and adolescents with excessive sleepiness and learning difficulties. Furthermore, teachers with high demand and with different work schedule, which may contribute to changes in SWC. The aim of this study was to describe the SWC of high school teachers in Natal/RN. Habits and knowledge about sleep, chronotype, SWC, daytime sleepiness, sleep quality and job satisfaction were described in 98 high school teachers from public and private school. These parameters were compared according to the characteristics of work, family structure and gender. Data collection was performed with the use of questionnaires in two stages: 1) "health and sleep" (general characterization of sleep habits), Horne & Ostberg questionnaire (characterization of chronotype), Epworth Sleepiness Scale and the Index of Pittsburg Sleep Quality, 2) The sleep diary for 14 days. From the results, we observe that the teachers woke up and went to bed earlier in the week and showed a reduction of time in bed around 42min comparing to weekend. This reduction in time in bed during the week was accompanied by an increase in nap duration on weekend. In addition the teachers woke up earlier on Saturdays than on Sundays, probably due to housework and leisure. The teachers' knowledge about sleep was low in relation to individual differences and effect of alcoholic beverages on sleep, and high in the consequences of sleep deprivation. The differences found in comparisons on the characteristics of work, family structure and gender were punctual, except concerning the work schedule. The teacher who started work in the morning and finished in the night, woke up earlier, went to bed later and had less time in bed, when compared to teachers who work only in two shifts. In addition, teachers with late chronotypes who begin the work in the morning had a greater irregularity in the wake up time compared to teachers with earlier and intermediate chronotypes. Half of teachers have excessive sleepiness, which was positive correlated with work dissatisfaction. In general, teachers showed IPSQ averages equivalent to poor sleep quality and the women showed worst averages. From the results, it is suggested that the SWC of teachers varies according to work schedule, leading to irregularity and partial sleep deprivation in the week, although these responses vary according to chronotype. These changes are accompanied by excessive daytime sleepiness and poor sleep quality. However, it is necessary to expand the sample to clarify the influence of variables related to work, family structure and gender together