Dificuldades no processo ensino aprendizagem de trigonometria por meio de atividades

This study analyses the difficulties that teachers of high school face in the process of the teaching of trigonometry through activities in a construtivist focus. It contains a review of some publications and dissertations related with the study of trigonometry elaborated in the last years by several authors. It resorts to the study of teaching engineering as an instrument used in the research. It also presents a set of activities which will serve as sample to other teachers of mathematics; and points ways for the overcome of the difficulties found

Aplicações das atividades estruturadas de Skemp para a construção do conhecimento matemático

The present study constitutes a discussion about the application of Structured Activities to the construction of the mathematical knowledge, proposed by Richard Skemp. The discussion is based on the research that the author carried out in a public school of the state education chain buy using procedures of the research-action. It investigates the possibility of adoption of the proposal of Skemp in a new reality. It utilizes explanations from several theorists to understand the necessity and, at the same time, to enhance the efficiency of the referred activities in first grades of elementary school when students have their first mathematics teachings. It emphasizes the important rule of the teacher, as mediator to the mental constructions of the child. It presents considerations about the results achieved by the research, noticing the possibility of adoption of the studied proposal even though it is necessary an adjustment of the procedures to appropriate didactic-pedagogic requirements to the educational reality in which this project was done

Atividades experimentais no ensino de biologia em escolas públicas do estado do Rio Grande do Norte, Brasil: caracterização geral e concepção de professores

Recent research has revealed that the majority of Biology teachers believe the practice of experimental activities as a didactical means would be the solution for the improvement of the Biology teaching-learning process. There are, however, studies which signal the lack of efficiency in such practice lessons as far as building scientific knowledge is concerned. It is also said that despite the enthusiasm on the teachers‟ part, such classes are rarely taught in high school. Several studies point pedagogical difficulties as well as nonexistence of a minimal infrastructure needed in laboratories as cause of low frequency in experimental activities. The poor teacher performance in terms of planning and development of classes; the large number of students per class; lack of financial stimulus for teachers are other reasons to be taken into account among others, in which can also be included difficulties of epistemological nature. That means an unfavorable eye of the teacher towards experimental activities. Our study aimed to clarify if such scenario is generalized in high schools throughout the state of Rio Grande do Norte Brazil. During our investigation a sample of twenty teaching institutions were used. They were divided in two groups: in the first group, five IFRN- Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Norte schools. Two of those in Natal, and the other three from the country side. The second group is represented by fifteen state schools belonging to the Natal metropolitan area. The objectives of the research were to label schools concerning laboratory facilities; to identify difficulties pointed by teachers when performing experiment classes, and to become familiar with the conceptions of the teachers in regarding biology experiment classes. To perform such task, a questionnaire was used as instrument of data collecting. It contained multiple choice, essay questions and a semi-structured interview with the assistance of a voice recorder. The data analysis and the in loco observation allowed the conclusion that the federal schools do present better facilities for the practice of experimental activities when compared to state schools. Another aspect pointed is the fact that teachers of federal schools have more time available for planning the experiments; they are also better paid and are given access a career development, which leads to better salaries. All those advantages however, do not show a significantly higher frequency regarding the development of experiments when compared to state school teachers. Both teachers of federal and state schools pointed infra-structure problems such as the availability of reactants, equipments and consumption supplies as main obstacle to the practice of experiments in biology classes. Such fact leads us to conclude that maybe there are other problems not covered by the questionnaire such as poor ability to plan and execute experimental activities. As far as conceptions about experimental activities, it was verified in the majority of the interviewees a inductive-empiric point of view of science possibly inherited during their academic formation and such point of view reflected on the way they plan and execute experiments with students

Elaboração e aplicação de uma sequência de atividades para o ensino da trigonometria numa abordagem histórica

The present work aims to report the construction of a workbook for teaching trigonometry focusing the possible mix between the historical approach to the teaching of mathematics and the professional master´s degree. For this, considerations about the history of mathematics as a teaching methodology, the education of the math teacher who will teach trigonometry and also about the course of elaboration and experimentation of the activities in the workbook were made (using the methodological strategy of action research). Finally, the workbook for the teaching of trigonometry in a historical approach is presented as an example of the above mentioned mix between the history of mathematics, mathematical school content and the professional master´s degree

Abordagem de temas em saúde pública por meio de atividades lúdicas com professoras da educação infantil

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Atividades estruturais de equações polinomiais numa abordagem histórica por meio de e-book

The present study investigates how the inter-relationship of the content of polynomial equations works with structured activities and with the history of mathematics through a sequence of activities presented in an e-book, so that the result of this research will proceed will result in a didactic and pedagogic proposal for the teaching of polynomial equations in a historical approach via the reported e-book. Therefore, we have considered in theoretical and methodological assumptions of the History of Mathematics, in structured activities and new technologies with an emphasis on e-book tool. We used as a methodological approach the qualitative research, as our research object adjusts to the objectives of this research mode. As methodological instruments, we used the e-book as a synthesis tool of the sequence of activities to be evaluated, while the questionnaires, semi-structured interviews and participant observation were designed to register and analyze the evaluation made by the research, participants in the structured activities. The processing and analysis of data collected though the questionnaires were organized, classified and quantified in summary tables to facilitate visualization, interpretation, understanding, and analysis of these data. As for participant observation was used to contribute to the qualitative analysis of the quantified data. The interviews were synthetically transcribed and qualitatively analyzed. The analysis ratified our research objectives and contributed to improve, approve and indicate the use of e-book for the teaching of polynomial equations. Thus, we consider that this educational product will bring significant contributions to the teaching of mathematical content, in Basic Education

Elaboração de atividades didáticas para o ensino de matemática a partir de livros antigos: o exemplo do leçons élémentaires de Lagrange

De nombreuses études sur l`utilisation pédagogique de l`histoire des mathématiques viennent a identifier les arguments qui sous-tiennent ces actions éducatives comme une façon d`aborder les mathématiques scolaires afin de mener les élèves à un apprentissage réflexif et significatif des mathématiques. Cherchant a vérifier, de manière pratique, comment ces relations entre histoire des mathématiques et l`enseignement des mathématiques peuvent se matérialiser sous la forme d`activités didactiques, nous avons effectué un sondage sur les oeuvres du mathématicien Joseph Louis Lagrange (1736-1813) et identifié le potentiel d`exploration éducatif, de l`oeuvre Leçons élémentaires sur les mathématiques données a l`École Normale en 1795, de cet mathématicien. L`objectif principal de notre étude était de faire des recherches sur le potentiel d`une oeuvre antique dédié à l`enseignement des mathématiques et de la considérer comme support conceptuel et didactique pour la création d`un modèle d`activités didactiques pour l`enseignement des mathématiques, dans la formation des enseignants de mathématiques et aussi en ce qui concerne l`apprentissage des mathématiques des élèves de l`école primaire. Nous avons fait une lecture, la traduction et l`ajout de notes et commentaires sur le travail et une recherche bibliographique sur la relation entre l`histoire des mathématiques et l`enseignement des mathématiques, de façon a comprendre les aspects conceptuels et didactiques pour l`élaboration d`um module activités didactiques pour l`enseignement des mathématiques basée sur certains chapitres du livre de Lagrange. À cette fin, l`oeuvre a été utilisé comme source primaire et a été étudié sous un fondement théorique appuyer sur les travaux des Institut de recherche sur l`enseignement des mathématiques IREM. Dans le module élaboré, les activités apportent les contenus dans une suite integrée à une logique de classe, à partir de la lecture directe des découpages du texte original, disposés entre les questions et les situations-problémes , historiquement mis en contexte avec la période et associés à des contenus spécifiques. Comme il s`agit d`une recherche basée sur l`exploitation de livres anciens, nous croyons que des modules d`activités basées sur des source primaires peuvent être utilisées comme un matériel pédagogique pour la formation des enseignants de mathématiques ainsi que pour les dernières années de l`école élémentaire, reformulées ou accrues d`autres questions telles l`intérêt de chaque enseignant qui l`utilise

Utilizando as ciências espaciais e a astronáutica na construção de atividades práticas em ensino de física

In this work we consider the use of new technologies fron the Space Science and Astronautical, in the learning process, incorporating technical and conceptions of physics Spatial what can take on the response of some problems what there are a lot insistent in populate the mind of professors and followers regarding agreement of these conceptions into the level Average. Intending to bring another contribution to Physics teaching practice, especially Classical Mechanics, but introducing many introductory concepts from Modern Physics, since this topic is considered of great interest for teachers and students, for it involves high technology. It s advanced manufacturing demand certain processes that make possible the application of those concepts

O portfólio na formação inicial do professor reflexivo de inglês como língua estrangeira: uma análise sistêmico-funcional

This research deals with the insertion of the portfolio as a resource to the development of the reflective action in training teachers of English as a Foreign Language (EFL). Its goal is to characterize linguistic marks that show the reflective process in learning narratives collected in portfolios following the considerations of the ideational metafunction of the Systemic-Functional Grammar (SFG) by Halliday (1994). Within the scope of analysis offered by SFG, the system of transitivity was chosen attempting to observe and study the lexicogrammatical choices made by participants to produce their learning narratives. The corpus was composed of twenty-six learning narratives produced by thirteen participants into two distinct modules, designated here as "First Assessment" and "Final Assessment. The analysis were performed using procedures related to Corpus Linguistics, with the aid of the computer resource WordSmith Tools 5.0 (Scott, 1999). The results seems to indicate that preservice teachers, when asked to reflect on activities written on the classroom, use in their narratives a significant majority of mental processes instead of material processes that are common in narratives from other nature. Meanwhile, the use of a portfolio in teacher training in EFL, can be considered as a trigger reflection tool, which allows future teachers' effective monitoring of all their learning process

Processos cognitivos que operam na construção da referência: uma análise das produções textuais elaboradas na EaD - UFRN

Beneath the theoretical assumptions of Cognitive Linguistics contemporary, we analyze the cognitive processes underlying the construction of the reference in the text. To do so, we choose as corpus the written textual productions of undergraduates at the Department of Distance Education/UFRN provided in sections of responses of presential evaluation activities and activities in the Moodle virtual ambience. These activities and texts were produced in the discipline of Reading, Interpretation and Textual Production taught in the courses of Chemistry, Physics, Mathematics, Biology and Geography we monitor during the period of 2008.1 to 2010.1. Through the analysis of discursive productions, it was evident that the construction of the reference is made by means of the activation and manipulation of information acquired through our perceptual and social experiences. Thus, we confirm the cognitive assumption that the linguistic clues available in the texts of the activities serve as guides towards cognitive domains that activate the process of building reference

A tirinha cômica em questão: atividades de leitura no livro didático de língua portuguesa

You can see nowadays a more constant questioning about the validity and effectiveness of the practices of teaching reading currently introduced in elementary school. The intelligibilities generated from many voices, and built on the border between many consciences, it can contribute to understand and to some extent, alleviate skewed or outdated understandings about the teaching of reading and its goals in the school environment. By understanding the dynamics of these practices, which always need to be modified because of new social demands, we recognize the validity of working with the prospect of reading in its historical, social and dialogic dimension (Bakhtin, 1981, 2003). The Portuguese language textbook (LDP), in turn, being one of the fundamental bases of reading in school, makes a justified and necessary active production of knowledge about the theoretical and methodological conceptions that underlie the work with reading and on how that work is effectively routed. Our aim in this essay is precisely analyze reading activities in four Portuguese textbooks (Teacher s Manuals) for the 6th grade of elementary school, focusing on the proposed activities from a specific discursive genre, in this case, the comic strip. Through this research, we retrieve and list the goals that guide the development of reading activities in the LDP, and then verify a compliance or not of these objectives in directing the activities. Finally, we describe how the reading practices that involve the strip in the textbook can legitimize or reject the reading as an area of construction and circulation of meanings between socio-historically located subjects. We take account of studies on the nature and constitution of language (BAKHTIN, 1981, 2003, 2010; BAKHTIN/ VOLOSHINOV, 2006; SOUZA, 2002; GERALDI, 1996, 1997, 1999, 2006; ROJO, 2008a, 2008b, among others), as well especific studies about the activities in Portuguese textbooks (MARCUSCHI, 2010; BELMIRO, 2006; MENDONÇA, 2006, among others)

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

Se inicia oração com pronome clítico? Atitudes linguísticas, na escola, em relação aos padrões brasileiros de colocação pronominal

Focusing on the empirical assessment issue, proposed by Language change theory (cf. cf. WEINREICH; LABOV; HERZOG, 2006; LABOV, [1972] 2008), this research assists to clarifying Portuguese teacher s attitudes in Natal- RN, regarding (a) to proclisis in three specific contexts: in the beginning of a simple/compound sentence (V1), after the subjects (SV), and proclisis after the secondary verb in complex verbal structures (V1V2); (b) to students who use such patterns in usage. Specific contexts were gathered thanks to their representing of the standard variety, as many studies have proven (Martins, 2012; Schei, 2003; Biazzoli, 2010, 2012). The research aims at: (i) verifying by means of a classroom assessment test, whether Portuguese teachers correct proclisis on referred contexts; (ii) identifying, via attitudinal tests what actions teachers take regarding to the usage of standards above mentioned, as well as students as users of those. Twenty Portuguese teachers, picked at random out of different of public schools in Natal-RN, responded to a classroom assessment test in addition to other two attitudinal ones. Results achieved point to a recurring high proclisis correction index of 50% in simple/compound sentences, even though such variety has been implemented to pronominal usage standards in Brazilian Portuguese. This setting of usage was generally assessed negatively, having no commonality between this assessment and the neutral one used by students. Unlike previous setting, the proclisis after subject did not receive any correction of the twenty teachers, what proves coherence with the positive evaluation both the varieties and the students attained. As for the second verb of complex verbal structures, proclisis correction went negative on presenting single results, despite their proximity, with correction indexes of 20% (infinite structures), 10% (present progressive structures) and 25% (participle structures). The assessment on these contexts of proclisis ranged between positive and neutral, also valid for the one students utilized. It means that proclisis in the beginning of simple/compound sentences are yet seemingly spotted in writing school scenario, much likely due to the negative evaluation, opposite to students . Later to subjects and earlier to secondary verbs in structures, proclisis appears to be acknowledged in writing school scenarios, which reflects on teachers assessment as compared to students who use proclisis in these contexts; being in general either positive or neutral

Apreciações de alunos de inglês sobre sua produção oral: um estudo com base no sistema de avaliatividade

O vasto número de pesquisas sobre produção oral no ensino de Inglês como Língua Estrangeira (ILE) ao redor do mundo (p. ex. LITTLEWOOD, 1981; BROWN; YULE, 1983; BROWN, 1994; UR, 1996; CARTER; MCCARTHY, 1997; BROWN, 1994; 2004; ELLIS, 2008), assim como estudos sobre aspectos cognitivos e de aquisição da produção oral (SWAIN, 1985; 1995; LEVELT, 1989; SWAIN; LAPKIN, 1995; SKEHAN; FOSTER, 1997; 1999; ROBINSON, 2001; BYGATE, 2001; D‟ELY;WEISSHEIMER, 2004; GUARÁ-TAVARES, 2007; WEISSHEIMER, 2007; BERGSLEITHNER, 2009; dentre outros) têm revelado aspectos para um ensino de ILE mais eficaz e motivador. Com a proposta de contribuir para esse avanço, o presente estudo está inserido no paradigma qualiquantitativo de pesquisa no campo da Linguística Aplicada (LA), primordialmente com base nos estudos de Moita Lopes (1996; 2006), para quem a LA está centrada na resolução de problemas de uso da linguagem, cujo foco está na linguagem de natureza processual. O estudo tem como objetivo verificar as percepções de 34 alunos, de quatro turmas distintas de um curso de ILE, em uma escola privada de línguas, acerca de sua produção oral, ao participarem de atividades orais. O corpus da pesquisa foi gerado pelas respostas dos alunos a questionamentos sobre sua produção oral, em duas fases, no início e no meio do curso, além de uma entrevista semiestruturada realizada com dez dos alunos, ao final do curso, com o intuito de verificar suas percepções sobre sua produção oral. As discussões relacionadas à produção oral em sala de aula de ILE têm respaldo teórico nos trabalhos de Littlewood (1981), Brown e Yule (1983), Almeida Filho (1993), Brown (1994), Ur (1996), Carter e McCarthy (1997), Nunan (1999), Brown (2004) e Ellis (2008), que explicam fenômenos que exercem influência na produção oral, tais como afeto, interação, características de atividades orais, dentre outras variáveis em relação a aspectos cognitivos da produção oral analisadas pelos estudos de Swain (1985; 1995), Levelt (1989), Swain e Lapkin (1995), Skehan e Foster (1997; 1999), Robinson (2001) e Bygate (2001). A análise e discussão dos dados tem como base a Gramática Sistêmico-Funcional proposta por Halliday (1985; 1994) e posteriormente desenvolvida por Halliday e Hasan (1989), Halliday e Mathiessen (2004) e Eggins (2004), dentre outros. O foco desta pesquisa são os mecanismos de Apreciação, um dos domínios avaliativos do subsistema de Atitude, que por sua vez, é parte integrante do Sistema de Avaliatividade, desenvolvido por Martin (2000), Martin e Rose (2003) e Martin e White (2005). Para análise das escolhas linguísticas feitas pelos alunos, utilizamos a ferramenta computacional WordSmith Tools 6.0 (SCOTT, 2010), cuja função Wordlist (lista de palavras) foi utilizada na busca pelos tipos de processos, assim como epítetos, entre outras marcas linguísticas mais recorrentes que caracterizassem suas percepções. Os resultados revelam que nas percepções dos alunos acerca de sua produção oral, ao longo das três fases da geração dos dados para a pesquisa, eles gradativamente deixaram de mencionar aspectos afetivos quanto ao desenvolvimento de sua produção oral e passaram a perceber aspectos mais estruturais de composição da língua

Registros de ordens e ocorrências: uma prática de letramento no trabalho da enfermagem hospitalar

Nursing documentation is a literacy practice which is regulated by law. Among the written practices of the literacy field, nursing registration is understood as the attendance resume of the main problems and occurrences on duty. In other words it is a document and a communication instrument used by hospital orderly on duty. It s main goal is to keep a record of the information which is necessary to the continuity of the activities as well as to the assistance to the patients. Taking into consideration the complexity of this kind of literacy practice, this study which took place in a hospital context, aims at studying the nursing registration process in order to explain its implementation in the nursing field. The discussion is situated in the area of applied linguistics, and it makes a linkage between linguistics approaches and language questions which are related to the area of discourse at work. The theoretical foundations come from contemporary literacy studies such as Hamilton (2000) who proposes the following categories: participants, domain, artifacts and activities. The analysis was guided by the principles of the ethnographic methodology which proposes that the researcher spends much time in the field and uses a set of techniques in order to collect data related to the subjects speech as well as their deeds concerning the research main object. The data were collected through field observations, analysis of 100 nursing records, 04 reflective sessions and interviews as well involving 36 nurses. On one hand, the analysis reveals the importance of the nursing records in terms of documentation and communication. On the other hand, it shows informational, compositional as well as normative difficulties in terms of linguistics and legal aspects. For, we conclude that these questions need to be addressed through the process of intervention especially in events of teacher in service activities so that the professional nurses may improve their practice in relation to the elaboration of the nursing documentation on duty