Geometrias não-eucludianas como anomalias: implicações para o ensino de geometria e medidas

This present research the aim to show to the reader the Geometry non-Euclidean while anomaly indicating the pedagogical implications and then propose a sequence of activities, divided into three blocks which show the relationship of Euclidean geometry with non-Euclidean, taking the Euclidean with respect to analysis of the anomaly in non-Euclidean. PPGECNM is tied to the line of research of History, Philosophy and Sociology of Science in the Teaching of Natural Sciences and Mathematics. Treat so on Euclid of Alexandria, his most famous work The Elements and moreover, emphasize the Fifth Postulate of Euclid, particularly the difficulties (which lasted several centuries) that mathematicians have to understand him. Until the eighteenth century, three mathematicians: Lobachevsky (1793 - 1856), Bolyai (1775 - 1856) and Gauss (1777-1855) was convinced that this axiom was correct and that there was another geometry (anomalous) as consistent as the Euclid, but that did not adapt into their parameters. It is attributed to the emergence of these three non-Euclidean geometry. For the course methodology we started with some bibliographical definitions about anomalies, after we ve featured so that our definition are better understood by the readers and then only deal geometries non-Euclidean (Hyperbolic Geometry, Spherical Geometry and Taxicab Geometry) confronting them with the Euclidean to analyze the anomalies existing in non-Euclidean geometries and observe its importance to the teaching. After this characterization follows the empirical part of the proposal which consisted the application of three blocks of activities in search of pedagogical implications of anomaly. The first on parallel lines, the second on study of triangles and the third on the shortest distance between two points. These blocks offer a work with basic elements of geometry from a historical and investigative study of geometries non-Euclidean while anomaly so the concept is understood along with it s properties without necessarily be linked to the image of the geometric elements and thus expanding or adapting to other references. For example, the block applied on the second day of activities that provides extend the result of the sum of the internal angles of any triangle, to realize that is not always 180° (only when Euclid is a reference that this conclusion can be drawn)

Fontes primárias da história do vácuo e da pressão atmosférica na sala de aula: cartas e jornais históricos em articulação com o livro-texto do ensino médio

The use of the History and the Philosophy of Science (HPS) for the teaching of science and scientific subjects has been advocated in recent decades. It has been pointed out that the History of Science could make for a deeper learning of scientific concepts, since it would promote a contact with the problems which that knowledge has set out to solve. Furthermore, historical episodes would serve to put the discussions about the nature of scientific knowledge into context. With a view to explore those potentialities, the literature in the field has sought to identify the challenges and obstacles for the didactic transposition of subjects from the History of Science. Amongst many aspects, the deficiencies in the training of teachers, so that they can work with the insertion of HPS in the classroom have been highlighted. Another aspect that has been mentioned to be a challenge has to do with the didactic transposition of the Primary Sources, that is, of the original texts on the History of Science. The Primary Sources have significant potentialities: making a connection possible between scientists and concepts, showing the difficulties faced during scientific endeavors, perceiving the role of mistakes as obstacles to be surpassed, not as defeat, etc. On the other hand, there has been little exploration of these concepts in an educational context, due to their own peculiarities. The original texts are often hard to understand and their interpretation demands knowledge of the historical and scientific context in which they were written, as well as skills pertaining to the conduction of research in the field of the History of Science. With this scenario in mind, the research towards this Professional MSc degree starts from the challenge of elaborating and discussing proposals which could enable the didactical transposition of the Primary Sources. We have worked specifically with Primary Sources on the History of the Vacuum and of the Atmospheric Pressure, because of the insertion of these subjects in the Brazilian High School curriculum, in connection with the didactical textbooks. "Historic Journals" were made up from clippings of the original historical texts, as was a Didactical Unit, which takes the usual textbooks as a basis and contemplates using the Journals and the entire Primary Sources in High School. At last, we have elaborated and implemented a course designed for the preparation of teachers and for being an opportunity for the discussion of the feasibility of putting these kinds of proposal into practice

O ensino de óptica no nível fundamental: uma proposta de ensino aprendizagem contextualizada para a oitava série

This dissertation presents the investigation and possible interference in the current teaching of physics, specially of optics, in the eighth grade/ ninth year / fourth cycle of junior high school. The context of the current science teaching is also presented. Besides, the following aspects are discussed: the preparation of the eighth grade teachers, their professional needs, the pedagogical practices and the theoreticmethodological difficulties faced by them. Another important issue in Science Teaching, which is also discussed in this dissertation, is the need for an efficient scientific literacy so that the citizen may express value judgment about Science and Technology issues. The data about the context were gathered from questionaires answered by the teachers. In value of this information, lesson plans were elaborated and implemented. The goal was to point out alternatives for the development of a teaching-learning evaluation which would be both pleasant for the teachers in relation to the implemented methodology, end meaningful for the students by adding elements such as: interdisciplinary approach, contextualization and preparation by competences. Furthermore it was carried out a deeper analysis of the Brazilian curriculum references (LDB, DCN, PCN, RCB) and content aspects (concepts, procedures e attitudes) to be executed by that branch of human knowledge, aiming at a really Contextualized Science Teaching, qualified and pleasant for the eighth grade level. It is also presented in this paper the profile or the Professional which teach this level at state public schools in Russas, state of Ceará, Vale do Jaguaribe Region. The efficacy of the lesson plans were also analysed by using evaluation procedures with the eighth grade students of the following schools: CAIC Senador Carlos Jereissati and EEF Manuel Matoso Filho, from which the concepts acquired during the implementation of the classes became evident in the students

Conectores sequenciadores em artigos de opinião escritos por vestibulandos: uma questão de marcação linguístia com implicações para o ensino

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Vozes em diálogo na escola : uma análise de posicionamentos sobre a disciplina língua portuguesa no ensino médio integrado à educação profissional do IFRN

Esta investigación toma como tema la asignatura Lengua Portuguesa en el contexto de la enseñanza media integrada a la educación profesional, implementado en el año de 2005, en el Instituto Federal de Educação, ciência y tecnología del Rio Grande do Norte. En el ámbito general, objetiva analizar las voces reveladas en posicionamientos sobre la asignatura Lengua Portuguesa en este contexto. En este estudio, el uso del adjetivo integrado es comprendido como revelador de una formación escolar no basada en investigaciones dicotómicas, sobre todo en aquellas que evidencian una separación entre el conocimiento y el ejercicio profesional. Se buscó aporte teórico en los debates del área de educación, sobre formación integrada, en la visión de contemporaneidad de Bauman y en la concepción de lenguaje de M. Bakhtin. El corpus se compone de material empírico de la naturaleza cuantitativa y cualitativa, obtenido por medio de aplicación de cuestionarios con alumnos y profesionales, además del análisis documental de los PCNEM y de las OCEM, a lo que se refiere a asignatura Lengua Portuguesa. El direccionamiento metodológico es guiado por el paradigma cualitativo inserido en una perspectiva socio-histórica y eligió como categoría de análisis el concepto de voces sociales. Los resultados indican que la asignatura Lengua Portuguesa, en la perspectiva de integración con el mundo del trabajo, adquiere, en mayor o menor grado, en lo observado en los documentos oficiales y en los posicionamientos de alumnos y profesionales de la enseñanza media integrada a la educación profesional del IFRN, un perfil cuya esencia, lejos de asumir características de una enseñanza instrumental reductora, requiere una concepción de lenguaje que esté en sintonía con el mundo del trabajo de la sociedad contemporánea, una sociedad cada vez más abierta a la pluralidad de opiniones y a la ambivalencia de sentidos

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

Aprendizado significativo aplicado ao ensino de algoritmos

The course of Algorithms and Programming reveals as real obstacle for many students during the computer courses. The students not familiar with new ways of thinking required by the courses as well as not having certain skills required for this, encounter difficulties that sometimes result in the repetition and dropout. Faced with this problem, that survey on the problems experienced by students was conducted as a way to understand the problem and to guide solutions in trying to solve or assuage the difficulties experienced by students. In this paper a methodology to be applied in a classroom based on the concepts of Meaningful Learning of David Ausubel was described. In addition to this theory, a tool developed at UFRN, named Takkou, was used with the intent to better motivate students in algorithms classes and to exercise logical reasoning. Finally a comparative evaluation of the suggested methodology and traditional methodology was carried out, and results were discussed

Desenvolvimento de chatterbots educacionais: um estudo de caso voltado ao ensino de algoritmos

In development of Synthetic Agents for Education, the doubt still resides about what would be a behavior that could be considered, in fact, plausible for this agent's type, which can be considered as effective on the transmission of the knowledge by the agent and the function of emotions this process. The purpose of this labor has an investigative nature in an attempt to discover what aspects are important for this behavior consistent and practical development of a chatterbot with the function of virtual tutor, within the context of learning algorithms. In this study, we explained the agents' basics, Intelligent Tutoring Systems, bots, chatterbots and how these systems need to provide credibility to report on their behavior. Models of emotions, personality and humor to computational agents are also covered, as well as previous studies by other researchers at the area. After that, the prototype is detailed, the research conducted, a summary of results achieved, the architectural model of the system, vision of computing and macro view of the features implemented.

POPT: uma abordagem de ensino de programação orientada a problema e testes

There is a growing interest of the Computer Science education community for including testing concepts on introductory programming courses. Aiming at contributing to this issue, we introduce POPT, a Problem-Oriented Programming and Testing approach for Introductory Programming Courses. POPT main goal is to improve the traditional method of teaching introductory programming that concentrates mainly on implementation and neglects testing. POPT extends POP (Problem Oriented Programing) methodology proposed on the PhD Thesis of Andrea Mendonça (UFCG). In both methodologies POPT and POP, students skills in dealing with ill-defined problems must be developed since the first programming courses. In POPT however, students are stimulated to clarify ill-defined problem specifications, guided by de definition of test cases (in a table-like manner). This paper presents POPT, and TestBoot a tool developed to support the methodology. In order to evaluate the approach a case study and a controlled experiment (which adopted the Latin Square design) were performed. In an Introductory Programming course of Computer Science and Software Engineering Graduation Programs at the Federal University of Rio Grande do Norte, Brazil. The study results have shown that, when compared to a Blind Testing approach, POPT stimulates the implementation of programs of better external quality the first program version submitted by POPT students passed in twice the number of test cases (professor-defined ones) when compared to non-POPT students. Moreover, POPT students submitted fewer program versions and spent more time to submit the first version to the automatic evaluation system, which lead us to think that POPT students are stimulated to think better about the solution they are implementing. The controlled experiment confirmed the influence of the proposed methodology on the quality of the code developed by POPT students

A integração do tutorial interativo TryLogic via IMS Learning Tools Interoperability: construindo uma infraestrutura para o ensino de Lógica através de estratégias de demonstração e refutação

Logic courses represent a pedagogical challenge and the recorded number of cases of failures and of discontinuity in them is often high. Amont other difficulties, students face a cognitive overload to understand logical concepts in a relevant way. On that track, computational tools for learning are resources that help both in alleviating the cognitive overload scenarios and in allowing for the practical experimenting with theoretical concepts. The present study proposes an interactive tutorial, namely the TryLogic, aimed at teaching to solve logical conjectures either by proofs or refutations. The tool was developed from the architecture of the tool TryOcaml, through support of the communication of the web interface ProofWeb in accessing the proof assistant Coq. The goals of TryLogic are: (1) presenting a set of lessons for applying heuristic strategies in solving problems set in Propositional Logic; (2) stepwise organizing the exposition of concepts related to Natural Deduction and to Propositional Semantics in sequential steps; (3) providing interactive tasks to the students. The present study also aims at: presenting our implementation of a formal system for refutation; describing the integration of our infrastructure with the Virtual Learning Environment Moodle through the IMS Learning Tools Interoperability specification; presenting the Conjecture Generator that works for the tasks involving proving and refuting; and, finally to evaluate the learning experience of Logic students through the application of the conjecture solving task associated to the use of the TryLogic

Uma abordagem crítica do conteúdo esporte nas aulas de educação física no ensino médio integrado

Researchers have analyzed how sport is being taught in the classroom as a regular subject and how it is accepted as a pedagogical action at school. This study aims to suggest some pedagogic proposal on the Physical Education subject to High School System which would be planned, formulated, and applied based on some critical approach on teaching, as well as analyzing and thinking over its impact on the students' learning, taking in consideration some conceptual, procedural and attitudinal dimensions to make possible for the students to become more critical so that they will understand how this subject works in contemporary time. .We had three specific blocs to develop our research: Historic, conceptual and cultural elements about sport; Public policies to sport; Individual, group and environmental characteristics. The method of this work was based on qualitative research through some research action. The study was made actually at IFRN (Federal Institute of Education, Science and Technology of Rio Grande do Norte state), in the city of Pau dos Ferros. Students from the second year of the computing course in high school were the participants in the research, there were 37 students from eleven different cities near Pau dos Ferros. They answered some questionares and a Research Diary. From the pedagogical intervention we could prove the students have improved their knowledge about the concept on sport itself, leaving the old idea about sport only as a physical practice such as an activity with rules or as competition, we could prove they have sport as a social-cultural event, involving policies, ideologies as well as historical interferences. Another aspect they mentioned was that sport is the citizens' right and as such there must be public policies pro sports. Understanding that sport transpires on peoples' habits as well as their behavior allowed us to identify its influence on our students' quality of life back in their home towns. Therewith, it is clear the necessity of a pedagogical focus on the content of Physical Education at school to make this subject more meaningful, so that the students will become more critical and reflexive about life and will be able be real citizens

Possibilidades de enfoque CTS para o ensino superior de química: proposta de uma abordagem para ácidos e bases

Scientific education has been passing by redefinitions, contestations and new contributions from the research on science teaching. One contribution is the idea of science and technology literacy, allowing the citizens not only knowing science but also understand aspects on the construction and motivation of scientific and technological research. In accordance with this idea, there is the Science-Technology-Society (STS) studies which, since the 1970s, has been contributing for science teaching and learning according to the comprehension of the relationships with society in the Western countries of the North. In Brazil, this approach began to gain projection from the 1990s when the first essays on the theme were published. Currently, there is a clear influence of this approach on the national curriculum guidelines, especially for the area of Natural Sciences, and also on the textbooks chosen by the High School National Program (Programa Nacional do Ensino Médio). However, there seems to be a gap in relation to the discussion on the specific curricular component seen in college on this approach. Thus, this study aims at adopting the approach STS, face to the preparation of complimentary educational material on acid and bases concepts studied in the course of General Chemistry of the Natural Sciences graduation program. To this end, it was performed a bibliographical research aiming at making the state-of-the-art in in these concepts in specific literature to science teaching. It is divided in two stages: systematic study (with sixteen journals chosen according to Qualis-Capes and an unsystematic study with direct search in databases and references in the papers of the systematic study. The studies had their content analyzed and the categories chosen a priori were the level of education, the acid-base theory adopted, and the strategy/theoretical frame of reference adopted. A second stage aimed at identifying attitudes and beliefs on STS (Science-Technology-Society) and CSE (Chemistry-Society-Environment) of students in the teacher and technologist training course in three diferent institutions: UTFPR, UFRN and IFRN. In this study, it was used two questionnaires, composed of a Likert scale, semantic differential scale and open questions. The quantitative data reliability was estimated through Cronbach’s alpha method, and tha data were treated according to classic statistics, using the mean as the centrality measures, and the mean deviation as dispersion. The qualitative data were treated according to the content analysis with categories taken from the reading of answers. In the third stage, it was analyzed the presence of STS and CSE content in chapters on acid and bases concepts of nine General Chemistry textbooks, frequently used in graduation programs in public institutions of the state of Rio Grande do Norte. The results showed that there are few proposals of acid and bases teaching, and they are generally aimed at High School or at instrumentation for teaching courses, and no course for General Chemistry. The student’s attitudes and beliefs show the presence of a positivist point of view based on the concept of Science and Technology neutrality and the salvation of its mediation. The books analysis showed just a few content on STS and CSE are found in the studied chapters, and they are generally presented disjointedly in relation to the rest of the main text. In the end, as suggestion to solve the absence of proposals STS in General Chemistry books, as well as the student’s positivist attitudes, it was developed some educational material to be used in the course of General Chemistry at College. The material is structured to introduce a historical view of the concepts preparation, present the use of materials, the industrial and technological processes, and social and environmental consequences of this activities

A formação da habilidade de explicar no contexto do ensino médio: o que dizem os livros? o que pensam os professores?

The discussion about explanation in knowledge has been made for decades. Through this course, we present different ways of understanding about what is to explain the history: the primitive ethnographic description, the chronicler, the positivist construction of a historical science and historiography of the second half of twentieth century. Nowadays this discussion needs to be continued both in the general framework of scientific practice as within educational institutions as cognitive - linguistic ability. The focus of our research is by the second approach, which is the explanation as cognitive - linguistic ability. The formation of skills, among them, the explaining one, has been studied by the authors as: (NÚÑEZ 2012; JORBA et al, 2000; SANMARTÍ and IZQUIERDO 2000). This research had as general purpose: to study the processes of formation of the ability to explain social revolution in history classes in high school, by teachers opinion and by content as this theme among history books, in order to support the continuing education of history teachers for high school. Th e qualitative based research used instruments of data collection and analysis protocol for the books prepared for this study, and interviews with teachers. For this, the techniques of content analysis and discourse referenced in Bardin and Orlandi , respec tively were used. At first, the instruments for data collection were developed and validated, while in the second, the data were collected, organized and analyzed. From the answers to the questions of the study results shows that: a) in the analyzed books - do not express the work with the definition of Social Revolution, considering the processes for the formation of this definition, the predominant type of explanation has characteristics of multicausality; proposals for teaching are characterized as eclec tic; b) while teachers speech - it is important the students know the definition of Social Revolution, the ability to explain is more linked to didactic explanation in the classroom than the explanation through epistemological sense. These results indicate that the formation of the ability to explain Social Revolution based in Cultural History approach, are not expressed in the analyzed books, but they can serve as an important resource for this purpose. The discourse of teachers has a potential pointing to the possibility of teaching organization and learning process, based on training or upgrading the explanation skill from the theory of stepwise formation of mental actions and concepts by P.Ya. Galperin. For this purpose, the research constitutes a contri bution to support the continued education of history teachers in high school.

Avaliação de usabilidade em materiais interativos de ensino a distância da UFRN-SEDIS

This study aims to assess the usability of Interactive Materials developed for the courses offered by UFRN SEDIS the modality of distance education (DE), using the techniques of focus group cooperative evaluation and assessment of satisfaction. The Interactive Materials are intended to serve as an avenue where the course content reaches the student in an educational, stimulating and self-instructive enough for the student to engage and find no difficulty in using it so. After the survey data in this context were selected four Interactive Materials ("Introduction to Applied Calculus", "Science, Technology and Society", "studies the Semi-Arid" and "Cultural Geography") that adopt the framework established by UFRN for SEDIS be evaluated for their usability. Initially, a preliminary test was conducted from cooperative assessment with a student interacting with the four learning objects in order to reveal and map the major failures of usability, supporting deeper questions later. The recordings of this preliminary test were analyzed by a focus group composed of two graphic designers and two multimedia designers, and developers responsible for these objects, which helped to analyze the gap between "what was designed" and "as was used "structuring and supplementing the roadmap for cooperative evaluation and assessment of subsequent satisfaction. The cooperative evaluation was applied individually to ten students of undergraduate UFRN that tested each of the four materials. At the end, every student completed a questionnaire assessing satisfaction form adapted Wanted (Questionnaire for User Interaction Satisfaction). The analysis of the data collected in this study revealed positive, negative and notes to be considered to guide the future development of Interactive Materials, in the context of UFRN SEDIS, feedback to the process of design and evaluation with user participation

A linguagem audiovisual do cinema como elemento integrador da arte e ciência na formação cultural dos professores de ciências e matemática

This work aims to study about the importance of cinema for cultural and professional training of teachers of Natural Sciences and Mathematics. The educational potential of cinema is emphasizing by different authors, which also reveal the teachers' training gap in this issue (media). In this study, we defend the audiovisual language of cinema as an integrating element of Arts and Science for cultural and professional training of teachers. This subject has been developed by different authors, in which the emphasis has been the importance of intelligent dialogue with the world. Specifically, the training of science teachers and mathematics, by the approach of Cinema in its formation, It envisions the possibility of minimizing the dichotomy between humanistic and scientific training, already much discussed by some researchers. Educational products contribute to an effective experience and reflection on the cultural and educational role of the Seventh Art. Considering the Cinema as a possible "bridge" between the two cultures (scientific culture and humanistic culture) and promoting ownership of audiovisual language in teacher training It was accomplished the I Exhibition - Cultural Spring: Cinema and Science Education in UFRN. The production of the booklet "Topics of History, Language and Art of Cinema for Science and Mathematics Teachers," and its application in a short course in the XXI National Symposium on Physics Teaching also aimed to contribute to the approximation of Science and Art in training teachers.