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.

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.

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.

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

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

Uma proposta para o ensino de eletromagnetismo no nível médio

This paper aims at building a proposal for teaching of electromagnetism in the secondary level in the state public school in Natal, RN, encompassing at the most possible comprehensive manner the fundamental aspects of electromagnetism. The methodology employed here is prioritize physical concepts rather than instruments (such as the mathematics), which should have the connotation of just tools, or of aids in the context of physics teaching in the referred teaching level. The proposal is to give teachers a consultation resource, from differentiated lesson plans, which have as main focus activities based primarily in texts and active participation of students in the teaching- learning process and the implementation of the PCN+ proposals (BRAZIL, 2000), which suggest alternative ways to make the practice in the classroom more exciting, targeting a significant teaching-learning process for both the teacher and the student. This material was applied during the 3rd and 4th term (i.e., bimester) throughout the school year of 2007, in the State School Teacher Varela Barca in two classes (3V1 and 3V2) of 3rd grade of secondary level. As evaluation of the implementation of this proposal one can cite that students were more secure when to apply the concepts, when conducting the experiments, and less anxious when formal evaluation of the evidence, showing greater motivation when presented to electromagnetism contextualized in their everyday situations. The product of this educational work includes, besides the dissertation, the lesson plans, itineraries and experimental assessment of the instruments used (Annex E to I)

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

Abordando o sono no ensino médio: proposta de unidade didática contextualizada com o tema saúde

Biological rhythms are part of the life from the simplest to the most complex living beings. In humans, one of the most important biological rhythms is the sleep-wake cycle (SWC), which represents an indispensable behavior for health, since sleep deprivation can lead to deficits in attention and memory, mood and daytime sleepiness which may affect school performance. Nevertheless, the SWC is a content rarely discussed in schools. Thus, the aim of this research was to address contents of the sleep-wake cycle, related to the content of Health to encourage healthy sleep habits. This study was conducted in a public school with 33 students of the 3rd year of high school and is divided into four stages: 1st) Study and analysis of the content of the textbook adopted by the school to subsidize the activities covered in the teaching unit (TU) and approximation with the biology teacher from the class to evaluated the feasibility of schedules for the development of TU; 2nd) Survey of students' prior knowledge, through a questionnaire, to guide the development of the TU; 3rd) Development and implementation of a TU based on meaningful learning and characterization of the students sleep habits, 4th) Evaluation of the TU as a viable proposal to teach biological rhythms concepts. Previous knowledge of students about the SWC are scarce and this content is not covered in the books adopted by the school. Alternative conceptions were observed, particularly with regard to individual differences in sleep, which may contribute to the occurrence of inadequate sleep habits, as reported by the adolescents in this study. The activities developed during UD were well received by the students who showed participative, motivated and evaluated positively the procedures used by the researcher. After the TU, students' knowledge about the concept of biological rhythms has been increased and they started to identify that the SWC changes throughout life and occur due biological and socio-cultural factors. Thus, the UD elaborated in this study represents a viable proposal to teach the concepts of biological rhythms contextualized to the content of Health, in high school

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.

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.

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

Um estudo sobre a aprendizagem de números irracionais no ensino médio

The present study describes theoretical practical relationships between development and application of activities in Mathematics education. It s proposed a methodological approach to Mathematics in the first grade of Ensino Médio, supported by an experiment involving Irrational Numbers education by using constructive activities, applied obeying an educational sequence. Constructivism is used as an important theoretical reference in teaching learning process of Mathematics. The methodological intervention was done with two classes of students of the first grade of Ensino Médio, in two public schools, a state one and a federal one, located on the city of Natal, Rio Grande do Norte. The development, application and testing of the activities used on this experiment led us to think more profoundly about the value of constructivism ideas and understand that the use of activities that obey an educational sequence favors the learning. It s also discussed the research results, commented on a way to contribute to the advances of the proposal and it s more constant use. The participation and testing of the students were analyzed and judged using Skemp s Instrumental Understanding and Relational Understanding concepts. The results of the research were considered good, so we believe this methodological intervention can be used more frequently in the classes of Ensino Médio and also be applied to teachers in courses of initial education and continuous formation

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