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

Globos e mapas ao alcance das mãos : ensino de matemática numa perspectiva de alfabetização funcional na EJA

The following dissertation has as its main advantage the privilege of visualizing the literacy processes through the angle of the functional perspective, which does not see the literary process as a practice solely based on the decoding of alphabetical codes, and then allows for the opening of ample spaces for the allocation of mathematical skills in the realms of the functional literacy. The main object of this study was to investigate which are the contributions that a sequence of activities and of methodologies developed for the teaching of Geometry could provide for a part of the functional literacy process in mathematics of youngsters and adults of EJA, corresponding to the acquisition or to the improvement of skills related to the orientation capacity. The focus of the analyses consisted in the practice of these activities with the young and adult students of an EJA class belonging to a municipal public school of Natal/RN. The legacies of Paulo Freire about the redimensioning of the role of the teacher, of the students, of the knowledge and of their connections within the teaching-learning process, prevailed in the actions of the methodology implemented in the classroom and, especially, in the establishing of dialogic connections with the students, which directed all the observations and analyses regarding the collected information. The results indicated that the composition of articulations between the teaching of mathematics and the exploration of maps and the earth globe enabled the creation of multidisciplinary learning environments and situations, where we could observe, gradually, the development of procedures and attitudes indicating the evolution of space-visual type skills

Reflexões sobre a construção e evolução de conceitos geométricos nas séries intermediárias do ensino fundamental

This thesis represents a didactic research linked to the Post-graduation Programme in Education of the Universidade Federal do Rio Grande do Norte which aimed to approach the construction of the geometrical concepts of Volume of the Rectangular Parallelepiped, Area and Perimeter of the Rectangle adding a study of the Area of the Circle. The research was developed along with students from the 6th level of the Elementary School, in a public school in Natal/RN. The pedagogical intervention was made up of three moments: application of a diagnostic evaluation, instrument that enabled the creation of the teaching module by showing the level of the geometry knowledge of the students; introduction of a Teaching Module by Activities aiming to propose a reflexive didactic routing directed to the conceptual construction because we believed that such an approach would favor the consolidation of the learning process by becoming significant to the apprentice, and the accomplishment of a Final Evaluation through which we established a comparison of the results obtained before and after the teaching intervention. The data gathered were analyzed qualitatively by means of a study of understanding categories of mathematical concepts, in addition to using descriptive statistics under the quantitative aspect. Based on the theory of Richard Skemp, about categorization of mathematical knowledge, in the levels of Relational and Instrumental Understanding were achieved in contextual situations and varied proportions, thus enabling a contribution in the learning of the geometrical concepts studied along with the students who took part in the research. We believe that this work may contribute with reflections about the learning processes, a concern which remained during all the stages of the research, and also that the technical competence along with the knowledge about the constructivist theory will condition the implementation of a new dynamics to the teaching and learning processes. We hope that the present research work may add some contribution to the teaching practice in the context of the teaching of Mathematics for the intermediate levels of the Elementary School

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

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 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

Atividades educativas na rede pública de ensino: efeitos sobre a higiene oral e o nível de informação em Saúde Bucal

The contents introduction concerning the individual health cares reveals important since the school education. In this direction, the present study objectified to know an effect of Oral Health education intervention in the oral hygiene and in the schools children information level, of 4º e 5º basic education years. The study was composed by two groups, chosen of random form: control group (n = 115) and experimental group (n = 132), with 247 public net school children in total sample. The experimental group participated of some educative activities in Oral Health, with biweekly frequency, during the 4 months period, given for a surgeon-dentistry. Both the groups were submitted to a clinical examination for a previous verification of the Plaque Index (PI) and of Loe Silness Gingival Index (GI). A questionnaire with closed questions on Oral Health was applied before and after to verify the school children rightness index. After the intervention, the final data, represented for the PI, GI and Rightness Index verification, has been collected for statistical analyses through the chi-square test to a 95 % of reliable level, using the SPSS 10,0 software. The PI and GI were categorized in high and low on the initials index basis medium; already the Rightness Index was categorized in inadequate (< 50%) and adequate (≥ 50%). It was verified that the PI (p = 0,014; IC 0.24-0.86) and the GI (p = 0,013; IC 0,28-0,84) presented differences statistically significant, after the education activities, when compared to with the control, favoring the experimental group. It was verified too the experimental group got greater rightness index, presenting difference highly significant (p<0,0001; IC 3,73-26,81). It was still observed that there was no association between the oral hygiene indicators and the school children information level. Ahead the results, it can been concluded that education activities related in the school routine were capable to give positives effects in the oral hygiene control and in the information level about Oral Health, however, not necessarily, the individual with bigger information is that one who has practiced an oral hygiene more adjusted. One become necessary, however, that the education in Oral Health occurs of permanent and integrated form with others school actors, for the positive effect does not lose the student s life longterm

Uma abordagem no ensino de frações baseadas em atividades para o 6º ano do ensino fundamantal

The objective of this work if constitutes in creation a proposal for activities, in the discipline of mathematics, for the 6th year of Elementary School, that stimulates the students the develop the learning of the content of fractions, from the awareness of the insufficiency of the natural numbers for solve several problems. Thus, we prepared a set with twelve activities, starting by the comparison between measures, presenting afterward some of the meanings of fractions and ending with the operations between fractions. For so much, use has been made of materials available for use in the classroom, of forma ludic, for resolution of challenges proposed. Through these activities, it becomes possible students to recognize the necessity of using fractions for solve a amount larger of problems

O processo de enfermagem na concepção de profissionais de Enfermagem de um hospital de ensino

Este estudo objetiva descrever as concepções dos profi ssionais de Enfermagem sobre o processo de enfermagem, a fi m de embasar as ações de implementação do processo na instituição do estudo. Trata-se de um estudo qualitativo, desenvolvido durante uma pesquisa ação, com a equipe de Enfermagem de um hospital pediátrico de ensino. O processo de enfermagem é concebido como um instrumento para organizar a assistência e prescrever os cuidados de Enfermagem. As rotinas de trabalho evidenciam as atividades técnicas. As expectativas com a implementação do processo de enfermagem envolvem a melhoria da qualidade da assistência. O estudo reforça a importância de incluir os membros da equipe de enfermagem, na implementação das etapas do processo de enfermagem e aponta o desafi o de enfrentar as rotinas tecnicistas

Autoavaliação institucional na dimensão do SINAES comunicação com a sociedade : estudo de múltiplos casos em instituições de ensino superior do Rio Grande do Norte

This study is about the institutional self-evaluation in Dimension 4, "Communication with Society", from the National System of Higher Education Evaluation SINAES, mandatory for all universities in Brazil. A multiple cases study was conducted with three institutions from Rio Grande do Norte, and the goal was to know how this evaluation is made, describing the concept for the evaluation of communication proposed by them, identifying controllers or emancipator aspects, categorizing methodological procedures and discussing the difficulties reported in the communication evaluation process. Coordinators of the institutions Evaluating Committees were interviewed and data categorized by means of qualitative content analysis. It was noted characteristics of the current controller, emancipator and hybrid designs in the three institutions for evaluation of communication, revealing the lack of a theoretical corpus that transits in accordance with the systemic perspective and epistemology of complexity from SINAES. It was found that the most frequently reported difficulties in the evaluation processes of communication are in the preparation stage, especially in the definition of indicators and tools and awareness work. The weakness in planning makes their own activities in the sector of communication become targets of assessment, forming goals poorly related with broader organizational goals. It was also concluded that the technical evaluation cannot override the issues associated with the broader issue of the complexity surrounding the assessment paradigm proposed by SINAES because contradictions and imperfections are part of the evaluation process and several references are current in the literature to support this view. Finally, it is said that objectives such as transparency and behavioral changes can rely on methodologies and techniques for research on the question of the construction of meaning

Projeto em Áreas Consolidadas de Patrimônio Cultural: Propostas para a Construção de uma Metodologia de Ensino

Le thème du patrimoine culturel architectural et urbain continue d avoir une place importante dans le milieu technique et scientifique. Le concept s est élargi et aujourd hui comprend différentes procédures de projets d intervention. L importance accordée au thème amène à l inclusion de la matière de techniques rétrospectives et aux contenus qui en sont liés: conservation, restauration, restructuration et reconstruction d édifices et ensembles urbains, dans les parcours des cours d architecture et d urbanisme au Brésil établies par le Ministère de l Education Nationale (MEC) dans les années quatre-vingt-dix, postérieurement incorporés dans les directrices disciplinaires nationales. Nous partons des discussions théoriques et conceptuelles du Domaine du Patrimoine Culturel, ainsi que des principales théories pédagogiques d enseignements et d apprentissage articulées au projet. Dans ce contexte les objectifs principaux de cette thèse consistent à systématiser et à analyser les principales procédures méthodologiques contribuant pour la construction de méthodes d enseignement tournée vers des activités pratiques dans ce domaine. Pour cela, la recherche a été systématisée dans une approche à deux niveaux. En ce qui concerne le premier, basé sur des données secondaires, neuf cours d architecture et urbanisme ont étés identifiés entre institutions publiques d enseignement supérieur dont huit brésiliennes et une française, considérées représentatives en ce qui concerne les pratiques d enseignement de projet et de patrimoine culturel. Trente disciplines dédiées à la matière ont été également reconnues initialement, et postérieurement, cinq disciplines qui possèdent un emploi du temps dédié à la pratique de projet ont aussi été reconnues. Dans le deuxième cas, basée sur des données primaires, ont étés analysées les méthodologies et les stratégies d enseignement de projet basées sur les définitions des matières et des autres éléments des plans de travail avec des observations, des entrevues et des questionnaires en trois ateliers. Par rapport aux résultats nous avons constaté que toutes les écoles possèdent les contenus de la matière, mais peu d entre elles privilégient la relation du projet appliqué au patrimoine culturel. Nous avons constaté que les questions des projets dans ce contexte, même s elles sont considérées complexes, ont privilégié le listage et l analyse du site. L atelier qui intègre les fondements des théories de préservation, l histoire de l architecture et urbanisme et techniques anciennes et actuelles, est mis en valeur comme un modèle cohérent avec les propositions d intégration des connaissances théoriques et pratiques du projet appliqué à la discipline. Basé sur ces constatations il est possible de démontrer quatre étapes du projet appliqué au patrimoine culturel: 1ª) les fondements généraux qui concernent les bases théoriques sur la préservation, histoire et technique rétrospective, par exemple, l appropriation de lois et normes et la sensibilisation de l élève sur les questions de patrimoine culturel; 2ª) le contacte avec la réalité qui inclut l appropriation du problème à partir de ces acteurs, de ces échelles, de cette lecture de site et l analyse de l objet d étude; 3ª) le développement de la proposition qui inclut programmes (fonctions existantes et propositions), définitions du partit (types d intervention), conception (hypothèse et discussion) et définition de proposition; 4ª) la finalisation du projet qui consiste à développer la proposition avec sa représentation graphique et sa présentation finale. Nous concluons que le projet en Domaine du Patrimoine Culturel demande une attention spéciale et doit être présent dans les cursus considérant les principes généraux nécessaires à la formation de l élève. Le binôme projet / patrimoine signifie avoir dans le cursus universitaire les contenus et questions nécessaires les connaissances, les variables et possibilités existantes dans le projet appliqué au patrimoine culturel de façon à ce que ces connaissances soient incorporées dans l exercice de projet et n apparaissent pas comme un simple contenu théorique sans articulation avec la pratique. Naturellement ces conclusions n épuisent pas la réflexion sur la question. Nous espérons que les analyses faites contribuent à définir des méthodologies d enseignements capables d êtres vérifiées et testées dans la pratique en salle de cours, et puisse collaborer avec les nouvelles recherches surtout celles qui ont pour but des nouvelles théories pédagogiques d enseignement apprentissage du projet en Domaine du Patrimoine Culturel

Inserção da informática nos cursos de Arquitetura e Urbanismo do Brasil (1994 2006): diagnósticos, rebatimentos e perspectivas nas Instituições Federais de Ensino Superior do Nordeste: UFRN, UFPB e UFPE

This work supports the formalist education s improvement of the Brazilian architect and urban designer through a better application and systematization of the computer science s teaching potentialities. The research analyzes the discipline introduction in the Brazilian courses: Computer Science Applied to Architecture and Urbanism (InfoAU) in the Architecture and Urbanism Courses of Brazil (CAUs). It goes since the discipline was obligated by the MEC s Regulation nr. 1.770 from 1994 until the CNE/CES Resolution nr. 6 from 2006; it comprehends the discipline implantation, development and current context, in order to get more detailed, the research analyses three federal universities from the Northeast of the country: UFRN, UFPB and UFPE. Once identified the historical educational needs in the CAUs, the study focus on the computer science s increasing potential as an agent of integration, communication, development and knowledge/data management. It points out new social perspectives for a better use of this tool/mechanism, which adequately structuralized and integrated, creates propitious educational and professional performance/recycling conditions and a propeller instrument of research and extension activities. Among this work, it is suggested the aggregation of elements, which are complementary to the InfoAU discipline s reorganization, throughout a computerization s plan for the CAUs, extensive to the professional formation, generating a virtuous cycle in several activities of the academic, administrative and, research and extension s departments. Therefore, the InfoAU in the Brazilian CAUs context was analyzed; the main solutions and problems found were systemized; the possibilities of computer science s uses inside AU ware structuralized, InfoAU discipline s improvement plan was also defined, as well as strategies for the implementation of the computerization s plan for the CAUs, which would guarantee its maintenance in a continuity perspective

Plano de Desenvolvimento da Escola (PDE): o processo de implantação de uma nova proposta de descentralização em duas escolas da rede municipal de ensino de Natal de 1999 a 2002

The 1988 Constitution was the legal marc to define changes in Brazilian State with major importance to the layout of public politician. In that moment of redefinitions e openness to new ways the redemocratization, participation and decentralization of public school had as their starter the elementary school. This work focus on the manage of FUNDESCOLA, particularly one of its politics called PDE (Educational Development Plan) wich purpose is guarantee a better quality in teaching and spread out democracy throughout its methodology. It was chosen two public schools: Professor Ulisses de Góis and Antonio Campos. The theoretical and methodological orientation is based on the theory of participative democracy developed by authors such as Putnam and Pateman. They says that a cultural background precedes individual participation in society. The collected data (educational legislation, surveys with all sectors of schools and technicians of Natal educational secretary, and relevant documents of de institutions) showed that PDE. Implementation had opposite runnings in the schools studied. In one, as a consequence of bad preparations of its teachers to absorve its methodology, PDE failed. In another way, PDE achieved its goals, especially helping the structure of action plans of the school and the administrative organization making possible several pedagogic activities planned. The work concludes that the main factor the failure or success of PDE relies on the organizational (both political and pedagogical) structure of each school. This discovery implies three important guidelines when comes to formulation of public politicians: a) Constitution of school; b) the local actors who manages the actions; c) the colletive interest in taking part of decisions