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

Controvérsias sobre a natureza da luz: uma aplicação didática

Researches in the field of Science Teaching have shown, in recent decades, that students from high school level have difficulties in understanding basic concepts of science, in general, and physics, in particular. The specific literature indicates, as a priority for a scientific education of better quality, a more structured understanding about science. This work proposes the introduction of elements of History and Philosophy of Science in high school as an aid to learning the concepts of optics, in general, and of aspects concerning the nature of science, specifically. Making use of historical episodes regarding the controversy on the nature of light, especially during the seventeenth and eighteenth centuries, as well as clippings of the history of optics in relation to the development of models that explain the process of vision, we formulated a teaching unit and implemented it on two night high school classes of a public school in the city of Parnamirim (RN). The unit involved, primarily, the reading of three historical texts containing written questions followed by a collective debate ("moot"). The results indicated some difficulties in overcoming the misconceptions related to the process of vision and the nature of light. Nevertheless, we believe that the teaching unit has succeeded in relation to the learning of most students, both in relation to a better understanding of science as well as concepts of optics

A leitura como instrumento facilitador da compreensão matemática

This research builds on a qualitative approach and proposes action research to develop, implement and evaluate a strategy grounded in the teaching of geometry reading from different text types, in order to enhance the understanding of mathematical concepts by students in the 6th grade of elementary school. The teaching of mathematics, strengthened by a reading practice that fosters a greater understanding of science, because it would contribute to the expansion of vocabulary, acquire a higher level of reasoning, interpretation and understanding, providing opportunities thus a greater contextualization of the student, making out the role of mere spectator to the builder of mathematical knowledge. As a methodological course comply with the following steps: selecting a field of intervention school, the class-subject (6 years of elementary school) and teacher-collaborator. Then there was a diagnostic activity involving the content of geometry - geometric solids, flat regions and contours - with the class chosen, and it was found, in addition to the unknown geometry, a great difficulty to contextualize it. From the analysis of the answers given by students, was drawn up and applied three interventional activities developed from various text (legends, poems, articles, artwork) for the purpose of leading the student to realize, through reading these texts, the discussions generated from these questions and activities proposed by the present mathematics in context, thus getting a better understanding and interaction with this discipline as hostility by most students. It was found from the intervention, the student had a greater ability to understand concepts, internalize information and use of geometry is more consistent and conscientious, and above all, learning math more enjoyable

Elaboração de uma sequência didática sobre os conceitos geométricos preliminares ao estudo da trigonometria

This study is qualitative, including literature search and preparation of teaching materials. Your goal is to report the study of geometric problems of character presented in the application of trigonometry and work on the preparation of detailed activities that help in overcoming these difficulties. For this, we read some papers on teaching and learning of trigonometry in order to identify the difficulties encountered during their journey. Then separate the geometric difficulties of character and prepare a list of geometric content and procedures associated with them. Thus, we can organize a notebook with activities that would address most of these concepts. Finally we present the specification of activities called Activity on introductory concepts to the study of trigonometry

Obras complementares: um elo entre a leitura e os conteúdos matemáticos

The Federal Government through its Plans and Programs invests in various policies intended to achieve the main goal of the millennium, provide basic education for all. Among them, we highlight in this paper The National Textbook Program, with emphasis on Complementary Works. These works are presented through different genres, such as poems, poetry, short stories, parables, novels, literature, educational materials etc.. providing a range of possible teaching work. However, little is known about the levels of education of teachers as intended. Based on the discussions and studies in this direction, sparked concerns us in the process of teaching and learning in math classes. This made us pay attention to a possibility of study where reading could be included in this process. In this sense, the present study aims at investigating the potential of conceptual and didactic use of Complementary Works on developing the skills of reading and writing mathematics of the first three years of elementary school, and from there, propose a courseware with guidelines for use of these works by teachers of 1st to 3rd year of elementary school. For this, we outline the issues of reading and understanding of mathematical interests as those of our study. In this sense, the proposal was built from the bibliographic works that address the contributions of reading for learning mathematical content, like Machado (2001), Nacarato (2009); Dantas (2011), Smole and Diniz ( 2001). As a result, we created the Guidance for the use of Complementary Works for Teachers to Teach Mathematics with a view to support the practice of teachers and future teachers who teach mathematics. Supported the use of Complementary Works, especially those distributed in public schools by the National Textbook - PNLD and have mathematical content, this guide is intended to present some of the possible use of this feature in math classes. (Education Observatory - Capes / INEP. Ed. 038-2010. TELL Research Group - UFRN - PPGED / PPGEL / PPGECNM - PROPESQ)

Dificuldades de aprendizagem em estequiometria: uma proposta de ensino apoiada na modelagem

In order to learn/teach chemistry some themes are relevant, like the stoichiometry, which consists in the study of the weight ratios in the combination of elements and compounds between themselves. This is an underlying subject in the understanding/representation/forethought of chemical reactions. Considering these aspects, our study presents a modeling-based proposal to develop the content of stoichiometry with prospective chemistry teachers. With this aim, we have made a review of literature, which we considered when tried to identify the learning difficulties using both quizzes and pedagogical tests, and then, from those difficulties we could propose a teaching unit for this concept and, consequently the evaluation of our proposal. The participants were chemistry undergraduates at the Universidade Federal do Rio Grande do Norte (UFRN) from assorted levels. As a methodological framework, we rely on the discursive textual analysis to characterize the speech of participants. As main results we observed ideas of appearance or disappearance of matter during chemical transformations, disregard of stoichiometric proportions when using drawings to represent the microscopic level of a reaction and confusion between the magnitude amount of matter and other magnitudes such as mass and volume. The final product is a sequence of instruction, based on the modeling previous research literature , with the goal of improving students ability to articulate the macroscopic and submicroscopic levels of representation of the matter

A leitura de fontes antigas como possibilidade didatica: um exemplo a partir do Almagesto de Ptolomeu

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Dificuldades de aprendizagem sobre conceitos de genética no ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Dificuldades na construção de gráficos de funções

This study describes about graduation s students difficulties of to draw functions graph. Specifically, we intend to observe their abilities evolution, as well as their difficulties during Calculus I subject in engineering course. For that, we show them publications about the elaboration of graphs and its difficulties in obstacle terms and some researches witch contain this subject and that it was done during postgraduate studies in mathematical education. It shows by research methodology aspects related to French didatic s mathematic and some theories of cognitive psychology considering the high value between theoretical-methodological relation that was evidenced in both theoretical conceptions about ways to understand and teach mathematic. This methodology is based on didactic engineering purpose, that consist in preliminaries analysis, conception and didactic sequence analysis prior, trials by application followed analysis up and conclusion. We had also used pedagogicals actions and analysis of results achieved, to classify types of errors made by the 2005 s students during second semester, from conceptions related to the episthemologic and didactics obstacles

Refletindo dificuldades de aprendizagem de alunos do ensino médio no estudo do equilíbrio químico

This research intends to identify the main conceptual mistakes committed by High School students when studying Chemical Equilibrium and also how the didactic books can influence in their formation. For the data - collecting we applied 150 questionnaires with 11 open questions e 4 restricted ones. Students from three different private schools in Natal-RN were used in this survey. The questionary about the book analysis tried to understand how the subject has been boarded, making it easier or not for the knowledge building. The books were chosen by being usually the most used ones at the chemistry classes in the schools in town. On the didactic book analysis we evaluated 12 items that tried to identify the clarity with which the books would bring up the subjects, the contextualization of the exercises, the analogies used, the amount and the quality of exercises, the connections between the subjects, and the retaken of important concepts. The questionary given to the students tried to get their knowledge about the concepts related to Chemical Equilibrium. The main mistakes found were: the definition of the state of equilibrium in a chemical reaction, the constant, the double headed arrow, confusions between mass and concentration, the representation of a microscopic reaction in equilibrium, partial pressure and total pressure, and the function of the catalyser. The results demonstrated a lot of insecurity or lack of knowledge about the subject when it was realized that there was a big number of blank questions and a considerable percentage of questions with conceptual errors. We concluded that those errors could be eased or even avoided if the didactic books and the teachers boarded the contents in a more conceptual form with the application of a largest number of good quality exercices, watching the building of definitions by the students, avoiding this way the formation of wrong concepts

Da poesia ao poema: uma leitura do poema-Processo

Caractérisation du "Poema-Processo" au long de sa trajectoire entre les années 1967 et 1972, au regard d´une lecture visant son insertion dans le mouvement d´avant-guarde de la deuxième moitié du XX° siècle, au Brésil. On vérifie la façon dont le mouvement du "Poema-Processo" s´est formé, comme dédoublement de l´art concret, ainsi comme ses adéquations à la conjoncture de son apparition au Brésil, s´établissant une comparaison entre la pratique du poème et les propositions des manifestes lancés. L´analyse des poèmes sélectionnés démontre leur co-relation avec les travaux visuels initiés par les avant-guardes historiques, ainsi comme les réponses de la pratique poétique à la théorie developpée par les principaux représentants, Wlademir Dias-Pinto, Álvaro de Sá et Moacy Cirne. La production poétique et culturelle de Moacy Cirne est abordée en observant sa pratique sur trois points fondamentaux: la production poétique, la critique littéraire donnant de l´emphase à la culture locale et au texte du "Poema-Processo", et la recherche du language des bandes dessinées.

A interpretação dos sintagmas nominais com adjetivos atributivos por alunos de inglês instrumental

This present work has as objective to analyze the interpretation of the syntactic and semantic meaning performed by third graders in the nominal groups (NGs) with attributive adjectives in the English language in a text of the final exam in the ESP (English for Specific Purposes) discipline. The corpus is made up of 30 exams of two classes from a third grade institution of the biomedical area, corresponding to the basic and advanced levels of the second term in 2006. The text has 24 NGs of different lexical content, a total of 27 NGs in the whole text summing up to 810 analyzed occurrences. The analysis is carried out at the morphologic, syntactic and semantic levels using as theoretical background the traditional and functional grammars (QUIRK et al, 1985; CELSE-MURCIA et al, 1998; TUCKER, 1998), in their semantic aspects, the Semantics (FRAWLEY, 1992) and the Cognitive Linguistics (TAYLOR, 2002). We concluded that the main difficulties were due to the lack of vocabulary and to the use of mother tongue strategies instead of using the top-down strategies for reading a text in English to compensate this gap. We also observed that even when the vocabulary was known, there were difficulties in establishing the semantic and syntactic relations between modifier and noun head. We suggested improvements for the teaching of reading English texts at the third grade grounded in the obtained results such as a more comprehensive study of the several different morphologic and syntactic structures of the NGs with premodifiers and their semantic consequences, an approach of the morphologic, syntactic and semantic aspects of the NGs and the use of both top-down and bottom-up strategies when reading a NG in the English language

O evangelho por escrever: uma leitura do desassossego nos fragmentos de Bernardo Soares.

Cette recherche a pour but d approfondir des études qui mettent en lumière des particularités inhérentes au processus de l écriture fragmentaire. Notre intérêt pour ce thème provient de la poétique fragmentaire du Le livre de l intranquillité composé par Bernardo Soares, assistant de notaire et sémi-hétéronime de l écrivain Fernado Pessoa. Notre approche de ce genre textuel commencera par une méthodologie comparative qui nous donnera des notions pour que nous puissions établir quelques rapports de ressemblances et différences entre fragments, maximes, aphorismes et réflexions dont le corpus littéraire sera le journal intime de l intranquilité soarianne, ainsi que la fragmentation du simulacre d auteur au cours des années pendant lesquelles le Livre a été écrit. Le livre de l intranquillité lance des « pulvérisations » réflexives, lesquelles demeurent actuelles, étant donné que le processus de l écriture fragmentaire semble être toujours dans un mouvement constant et, donc, dans l ambiance du à venir. À partir de cela, nous avons passés pour quelques entraves pour essayer d établir une définition pour ce qui serait l écriture fragmentaire. Nous chercherons des points d intersection visant à établir des paradigmes pour obtenir des notions plus précises sur ce genre textuel, concernant les maximes, aphorismes et sentences refléxives.

Propaganda e discurso ideológico: um estudo dos slogans das campanhas de incentivo à leitura

Considérant que le Brésil est un pays considéré comme «non- lecteurs», nous avons essayé de trouver des solutions pour inverser cette situation d'exclusion sociale à travers des campagnes et des projets. Le slogan était le moyen de la propagande a proposé à cet effet. En étant un peu éclairante, il a été considéré qu'ils étaient peut-être inséré dans un contexte idéologique, en passant, qui faisait alors partie de l'objet d'études en question et, en conséquence, l'objectif était d'étudier comment, dans niveau discursif, les relations sociales de l'idéologie et du pouvoir dans ces dessins slogans verbaux et des campagnes publicitaires pour encourager la lecture. Nous avons utilisé comme instrument de collecte de données en 2007 slogans projets (sept) et l'intensification des campagnes de publicité dans les années 1995 à 2006, peu après la création de la descendance en 1992, où son fonctionnement a été analysé et discours idéologique, en cherchant à identifier les états effets de sens proposé. Nous avons utilisé pour soutenir la perspective de recherche d'analyse du discours de l'école française, affiliée à Pêcheux. Afin de sens les effets sens des tests a été fait une semi-ouverte aux enseignants qui traitent directement avec l'enseignement de la lecture de l'Institut de l'Enseignement Supérieur du Président-Kennedy, situé à Natal / RN. On été appliqués 100 questionnaires, parmi lesquels 60 d‟entre eux utilisés pour l‟analyse. La recherche a démontré par l'analyse, que la façon d'encourager les gens à lire se déplace à travers le modèle principal de la compréhension de la lecture à laquelle les slogans ont été utilisés, en les intégrant dans un discours dominant, qui ne contribue pas de manière significative à l'augmentation le nombre de lecteurs dans le pays. Grâce à l'analyse des slogans et la réception des sujets de recherche, nous nous rendons compte de la diversité et l'idéologie sont présents en elles, révélant tout le temps, la compréhension de la lecture comme une surface pratique, ne mettre en lumière certaines de ses fonctions Importantes au sein d‟um contexte éducatif plus large

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

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