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.

Prática Investigativa: experimentando o mundo da microbiologia

Dentro de uma imagem construtivista a experimentação apresenta características peculiares, como o uso de conhecimentos prévios, dialogo, reflexão, problematização, interdisciplinaridade, e relações ao cotidiano, apresentando-se como uma atividade de investigação, em que o aluno deve refletir, discutir, explicar e relatar, caracterizando assim uma investigação científica Este trabalho tem como objetivo promover aprendizagem significativa do conteúdo de microbiologia, considerado um conteúdo abstrato, através de atividades empíricas se utilizando do método por investigação, desmistificando a informação de que microrganismos são apenas agentes patogênicos ao focar ecologia e importância econômica de alguns desses seres, e sensibilizando quanto à importância da higienização correta dos alimentos ingeridos crus. Abordagem foi realizada no 2º ano do ensino médio em uma escola pública, conveniada ao PIBID/UFRN/Biologia. Concretizada pela aplicação de duas atividades experimentais baseadas na problematização: “Agora eu vi, realmente existem!” e “Comer, comer para poder crescer”. Os experimentos foram realizados em aulas diferentes e caracterizam-se em sensibilização da higienização de alimentos consumidos crus, e análise da função e importância econômica de alguns microrganismos. A exposição do estudante a um problema em que ele pode vivenciar no se dia-a-dia o encoraja a envolver-se no seu próprio processo de aprendizagem, além de orientá-lo a aplicar o conhecimento adquirido em situações práticas, desenvolvendo desta forma habilidades especificas que possibilitem a continuidade de sua educação. Concluímos então que utilização de atividades experimentais realizadas pelo método de investigação gera aprendizagem de procedimentos e atitudes, além da aprendizagem de conceitos/conteúdos.

Análise do processo de aprendizagem e alfabetização científica sobre a evolução dos veterbrados em um museu de ciências

Os museus como centros de ciências, enquanto espaços de educação não formal podem, por meio da participação ativa do público, promover a compreensão da ciência ao aguçar a curiosidade do indivíduo e estimular o prazer pela descoberta. Ação desenvolvida como intervenção acadêmica, social e cultural associada ao PIBID/UFRN/Biologia, tem como objetivo avaliar o uso de espaço de ensino não formal, na aprendizagem de conceitos, promovendo a alfabetização científica através de uma exposição em um museu de ciências e morfológicas. A visitação foi realizada no Museu de Ciências Morfológicas da UFRN, com alunos do 1º ano do ensino médio da escola Estadual Lourdes Guilherme, sendo aplicados questionários de pré e pós-visita sobre a Evolução dos Vertebrados, com intuito de analisar a contribuição do museu na aprendizagem destes conteúdos. A porcentagem de acertos no questionário pré-visita variou entre 8 e 68% em relação ao conhecimento geral dos alunos quanto à evolução dos vertebrados, enquanto no pós-visita essa variação foi de 16 a 90%. Com base nesses primeiros resultados verificamos o quanto os museus interativos de ciência se apresentam como um espaço educativo complementar à educação formal, possibilitando a ampliação e a melhoria do conhecimento científico de estudantes. Isso demonstra que o uso de espaços não formais contribui para a aprendizagem significativa, além de promover a alfabetização científica destes alunos ao gerar a compreensão da ciência e aguçar a curiosidade dos mesmos para o prazer da descoberta.

Prática Investigativa: experimentando o mundo da microbiologia

Dentro de uma imagem construtivista a experimentação apresenta características peculiares, como o uso de conhecimentos prévios, dialogo, reflexão, problematização, interdisciplinaridade, e relações ao cotidiano, apresentando-se como uma atividade de investigação, em que o aluno deve refletir, discutir, explicar e relatar, caracterizando assim uma investigação científica Este trabalho tem como objetivo promover aprendizagem significativa do conteúdo de microbiologia, considerado um conteúdo abstrato, através de atividades empíricas se utilizando do método por investigação, desmistificando a informação de que microrganismos são apenas agentes patogênicos ao focar ecologia e importância econômica de alguns desses seres, e sensibilizando quanto à importância da higienização correta dos alimentos ingeridos crus. Abordagem foi realizada no 2º ano do ensino médio em uma escola pública, conveniada ao PIBID/UFRN/Biologia. Concretizada pela aplicação de duas atividades experimentais baseadas na problematização: “Agora eu vi, realmente existem!” e “Comer, comer para poder crescer”. Os experimentos foram realizados em aulas diferentes e caracterizam-se em sensibilização da higienização de alimentos consumidos crus, e análise da função e importância econômica de alguns microrganismos. A exposição do estudante a um problema em que ele pode vivenciar no se dia-a-dia o encoraja a envolver-se no seu próprio processo de aprendizagem, além de orientá-lo a aplicar o conhecimento adquirido em situações práticas, desenvolvendo desta forma habilidades especificas que possibilitem a continuidade de sua educação. Concluímos então que utilização de atividades experimentais realizadas pelo método de investigação gera aprendizagem de procedimentos e atitudes, além da aprendizagem de conceitos/conteúdos.

Análise do processo de aprendizagem e alfabetização científica sobre a evolução dos veterbrados em um museu de ciências

Os museus como centros de ciências, enquanto espaços de educação não formal podem, por meio da participação ativa do público, promover a compreensão da ciência ao aguçar a curiosidade do indivíduo e estimular o prazer pela descoberta. Ação desenvolvida como intervenção acadêmica, social e cultural associada ao PIBID/UFRN/Biologia, tem como objetivo avaliar o uso de espaço de ensino não formal, na aprendizagem de conceitos, promovendo a alfabetização científica através de uma exposição em um museu de ciências e morfológicas. A visitação foi realizada no Museu de Ciências Morfológicas da UFRN, com alunos do 1º ano do ensino médio da escola Estadual Lourdes Guilherme, sendo aplicados questionários de pré e pós-visita sobre a Evolução dos Vertebrados, com intuito de analisar a contribuição do museu na aprendizagem destes conteúdos. A porcentagem de acertos no questionário pré-visita variou entre 8 e 68% em relação ao conhecimento geral dos alunos quanto à evolução dos vertebrados, enquanto no pós-visita essa variação foi de 16 a 90%. Com base nesses primeiros resultados verificamos o quanto os museus interativos de ciência se apresentam como um espaço educativo complementar à educação formal, possibilitando a ampliação e a melhoria do conhecimento científico de estudantes. Isso demonstra que o uso de espaços não formais contribui para a aprendizagem significativa, além de promover a alfabetização científica destes alunos ao gerar a compreensão da ciência e aguçar a curiosidade dos mesmos para o prazer da descoberta.

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.

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

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

Avaliação de política pública: o ProInfo e sua gestão no município de Parnamirim (2009-2012)

The dissertation assesses aspects of the management of IT in Education Program (ProInfo), in the municipality of Parnamirim-RN. Checks as their management functions, with the following objectives: a) Examine whether the objectives of the activities related to teachers' program are being implemented according to the official documents, b) examine if there is a monitoring program activities as the activities of teachers c) Identify whether teachers develop activities and environments using the technological resources of the internet. The research brings a central issue: How ProInfo is subsidizing the activities of the teachers involved in the program to achieve their goals effectively? As a central hypothesis of this work, to be a general north to the research, we have: the ProInfo establishes a fragile and discontinuous link between the management of the activities of teachers and the goals that he sets. The hypothesis was validated by the analysis of data from field research, when we encounter a series of limiting aspects of program effectiveness at the municipal level. This research was undertaken with managers of state and municipal schools and teachers, using a sample of four schools Parnamirim-RN, in order to include some aspects of program management at the municipal level and effectiveness goals proposed, focusing on teachers who participated in the training. The methodological process consisted of literature review, interviews and documentary analysis carried to the organs responsible for ProInfo statewide (UNDIME/RN ) and municipal level, next to the Municipal Education Parnamirim-RN. Based on data collected from empirical field research, it was found that the ProInfo lacks periodic reviews by the governing bodies of the program, about the actions developed through appropriate instruments, which enable a more realistic view of the results of the program ex post (during or after deployment)

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

O ritual simbólico do Ctrl+C (copiar ) e Ctrl+V (colar) no ensino médio

Nowadays, technology has a direct influence on the relationship student and teacher have with language. The internet is a powerful tool in helping work with the language and, through it, the knowledge comes to the student easily and intensely. Furthermore, this facility has enhanced and made visible what has been called, within the University community, "plagiarism generation." This work assumes that this generation has, in their written texts, symbolic movements similar to those of "copy and paste" applied to research work carried out by high school students. Taking this as starting point, this dissertation aims to analyze how high school students of the 1st year from a school in Natal (RN) construct texts, under the movements known as "Ctrl + c" and "Ctrl + v", with reference to the text of the "other". More specific issues are behind the general objective, namely: 1. how the student appropriates the source-text when he copies and pastes? 2. What are the categories of analysis that allow us to look analytically and theoretically for the "ctrl + c / ctrl + v" practice made by the student? 2. how the studies developed in the fields of "Genetic Criticism" (Grésillon, 1987), the "school manuscripts" (Calil, 2004) and "paraphrase" (Fuchs, 1982) may help in working with writing in the classroom standing as a possible way to minimize the copy and paste effects in the students texts? Thus, we observe the categories of analysis that allow us to look, theoretically and analytically, for the symbolic ritual of the "ctrl + c" (copy) and "ctrl + v" (paste) in high school. Our study shows that the student text is a "hybrid body" whose writing is a drawing entanglement because of the presence of the foreign text, verbatim, and the presence of linguistic elements to paraphrase the original text.This textual embodiment has, behind it, certain operations, namely: replacing, moving, adding and deleting statements. Given the specificity of the data and the research objectives, this study aligns with qualitative research methods (SILVERMAN, 2009) and falls within the knowledge field of Applied Linguistics, which is characterized especially by investigating problems, phenomena in which language in a real situation is taken as central (BRUMFIT, 1995).Theoretically, our work follows the approach of studies on the paraphrase (Fuchs, 1982, 1994a, 1994b; DAUNAY, 1997, 1999, 2002a, 2002b), the studies developed in the field of Genetic Criticism (Grésillon, 1987, 1994, 1992, 2008 ) and those developed by Eduardo Calil (2004) on "school manuscripts"

O gênero joke em atividades de inglês: uma proposta intercultural de ensino-aprendizagem para o ensino médio

Our research has arisen from the interest of aligning English as a Foreign Language (EFL) classroom practice to current discussions in the ambit of learning and teaching Foreign Languages (FLs). Because of the need to integrate the linguistic development to the development of notions clung to the practice of citizenship, we have adopted a cultural perspective. We have noticed jokes as a fertile ground for discussing cultural aspects in classroom. Considering such factors, our research question is: how to explore cultural aspects in jokes for the elaboration of EFL activities which aim for the development of intercultural competence and interaction? Therefore, our general goal is to explore cultural aspects in jokes for the elaboration of EFL teaching and learning activities and our specific goals are: (I) to study official suggestions (LDB, 1996; PCNEM, 2000; PCN+EM, 2002; OCEM, 2006) regarding culture at foreign languages teaching and learning, (II) to select 05 (five) jokes and analyze them focusing on their cultural aspects, (III) to identify possible interpretations for jokes; (IV) to elaborate EFL activities which grant a privilege to jokes cultural aspects. This investigation is descriptive and documental and relies on qualitative paradigm (CHIZZOTTI, 2010; FLICK, 2009; CHAROUX, 2006; BOGDAN; BIKLEN, 1994; 1992). The corpus is constituted by jokes taken from Internet sites and by official documents (LDB, 1996; PCNEM, 1998; PCN+EM, 2000; OCEM, 2006). For the elaboration of activities we have chosen a weaker version of Content-based instruction (CBI), in which contents are cultural aspects in jokes and we have undertaken a reflection on methods, approaches and perspectives, among which there are notions about post-method and CBI, which talk to EFL learning and teaching. For theoretical support we have some discussions about FL methods and approaches (BELL, 2003; KUMARAVADIVELU, 2003; WESCHE; SKEHAN, 2002; PRABHU, 1990), a cultural perspective (KRAMSCH, 1998, 1996, 1993; BYRAM; FENG, 2004), some works in Linguistics about jokes (POSSENTI, 2010, 1998; CHIARO, 1992); notions about implicit (MAINGUENEAU, 2004, 1996; CHARAUDEAU; MAINGUENEAU, 2012) and about ambiguity (KEMPSON, 1977; CHARAUDEAU; MAINGUENEAU, 2012; TRASK, 2011), having the adoption of such categories emerged from the analyzes of some jokes

Análise dos conteúdos termodinâmicos em livros de Química e Física do ensino médio

PNLEM came out in 2004 and modified the view about schoolbook in Brazil. New perspectives pointed towards constitution of a more critical citizen as of an interdisciplinary and more contextualized teaching, made schoolbook understand these changes.But not always these alterations are checked up on by all means,because what we notice are adaptation of works have already known on market, where texts that are placed reveal environmental, socioeconomic, historical facts or daily phenomenon, or then scientific relevancy examples.We thus offer to analyse contents of chemical thermodynamics and physics for high school which are shown on schoolbook of chemistry and physics validated by PNLEM 2012, now called PNLD, studying the facts if these works bring these scientific sociocultural standpoint as well as their historical context,considering as analysis categories the following criteria: presentation of introduction, content contextualizing,presentation of concepts, thermodynamics historical context, representation in microscopic level and proposal of experiments.Eleven books were analysed,being five of chemistry and six of physics.So was applied a questionnaire with physics and chemistry teachers of high school to have an impression of their opinion about their teaching strategies and about schoolbook.This work grounded in orientations of legal documents about high school in Brazil (LDB,PCN,PCN+,OCEM) and in research on science teaching that regards specifically schoolbook and physics and chemical thermodynamics teaching.Were eleven books in number, only four denoted much coherence with new perspectives for high school, being two of chemistry and two of physics,whose concern about contextualizing and with a much integrated view of science to student s reality,indicating much social and critical character.The rest, when don t overlook,regard cultural and historical,socioeconomic contexts in isolated manner from presented concepts,aside from content