Ensinando sobre a natureza da ciência: uma abordagem explícita e contextualizada a partir da história do vácuo

In last decades, the importance of including the contents of the Nature of Science (NOS) in Science Education has been emphasized. Several studies have focused on investigating the conceptions of NOS, supported by students and teachers, as well as design, implement and evaluate proposals that aim to provide a reflection on this theme in the educational context. Considering the complexity of such content, studies indicate the need for explicit and contextualized approaches and the History of Science (HS) is one of the possible paths to this inclusion. We started from the premise that, through a historical study, that aims to discuss the meaning and the basis of our "beliefs", we can know the process of building on what we "believe" and better understand its meaning. This thesis is part of this perspective, proposing to explore the History of the Vacuum, a themed high didactic potential still little used, in order to collaborate with the teaching content of NOS. We present actions on different fronts that originated three products in the context of this research. On the first front, we insert the research and production of instructional materials (three historical texts) to subsidize people interested in the implementation of HPS for educational context through this material. The relevance of this front is justified by the existence of gaps with regard to the production of such material for the context of teacher training. However, we consider that the preparation of instructional material of good quality and accessible does not guarantee that these resources will be used, if they will not be accompanied by discussions in teacher training, on how to use them, contexts and obstacles to be faced. The second part presented refers to the organization and implementation of a workshop for undergraduate students in physics and physics teachers, considering the instrumentalization of these individuals to the preparation and use of teaching strategies to approach aspects of NOS through episodes of History of the Vacuum, as well as the preparation of the text orientation for people interested in implementing the instructional material for secondary education. This guidance text contemplates the difficulties anticipated by the literature of the area and the main challenges faced by the participants about the didactic transposition of HPS for the educational context they were noted during the workshop. The relevance of this second front, in particular, is justified by the existence of gaps with regard to the inclusion of the theme of NOS and the HPS teacher training

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)

História da matemática na formação do professor: dificuldades e sugestões

This work is the result of a study that aimed to start scoring difficulties that the math teacher is trying to get a historical formation. Considering that the textbook is the material with which the teacher has more contact, start with reading historical texts present in these books. Choose a theme and choose from that we observed limitations ranging from the search for sources of research in relation to the actual historical content. There are many studies that show the importance of the history of mathematics in teacher education and also in the teaching and learning of mathematics. These works , in particular the work of Feliciano (2008 ) entitled : " The use of history of mathematics in the classroom " , along with the information , experiences and opinions given by Professor Anderson Luís de Azevedo Paulo , in some meetings , point to need for materials for teaching , since they show that recognizes the importance of this knowledge and the ability to use it in the classroom , but several factors have pushed aside , even the texts present in textbooks. From the analysis of some of the work and contributions of Professor Anderson Paulo we pointed out some of the factors that make historical texts being ignored by teachers and among them are characteristics in appearance and content in the text. To assist in the preparation of materials that meet the expectations of the teacher, we present a manual with suggestions and / or features to choose or produce a good text. These suggestions can make the history books more enjoyable and thus approach the teacher of historical knowledge and later encouraged to seek, in fact, a historical formation

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

Letramento literário na escola: o poema na aula de língua portuguesa no ensino médio

Esta investigación está incluida en las discusiones sobre las relaciones entre literatura y enseñanza, recortando el lugar de las escritas poéticas en las clases de Lengua Portuguesa en la Enseñanza Media. En términos epistemológicos, nuestra reflexión problematiza, entre otras cuestiones, el desplazamiento que ocurre cuando las manifestaciones literarias se apartan de sus soportes originales y se adentran a las escenas de la clase de lengua materna, transformándose en objeto de enseñanza y contenido didáctico. En el ámbito de las prácticas escolarizadas de la lectura literaria en la Enseñanza Media, nuestra reflexión tiene como objeto la didactización del género textual poema. En esa etapa de la enseñanza, el poema como componente curricular aún no está definido. Eso es ocasionado, de modo general, por dos razones: por la naturaleza específica del género y por los procedimientos didácticopedagógicos utilizados cuando se hace la lectura del poema en clase. En relación al modelo consagrado de la enseñanza de literatura en la Enseñanza Media, apoyado en la descripción de la historia de la literatura brasileña a través de esquemas cronológicos de movimientos estético-culturales, pretendemos hacer un desplazamiento en lo que respecta a ese abordaje y situar el letramiento literario a partir de las formas líricas recurrentes en la producción literaria en Brasil, en la perspectiva de la enseñanza de la lengua mediada por el estudio del texto. Para tanto, utilizaremos como aporte teórico las siguientes áreas del conocimiento: la teoría literaria, la lingüística aplicada y la pedagogía de la enseñanza de lengua materna

Usando a história da resolução de alguns problemas para introduzir conceitos: sistemas lineares, determinantes e matrizes.

In this work we studied the method to solving linear equations system, presented in the book titled "The nine chapters on the mathematical art", which was written in the first century of this era. This work has the intent of showing how the mathematics history can be used to motivate the introduction of some topics in high school. Through observations of patterns which repeats itself in the presented method, we were able to introduce, in a very natural way, the concept of linear equations, linear equations system, solution of linear equations, determinants and matrices, besides the Laplacian development for determinants calculations of square matrices of order bigger than 3, then considering some of their general applications

Uma análise do ensino de Geografia utilizando as representações cartográficas no 2º ciclo nas escolas públicas de Natal - RN

Análisis de Ensino de la geografía usando las representaciones cartográficas en el ciclo 2º en las escuelas públicas de Navidad - RN, en la vista de la relación teo'rico-pra'ctica dividida en dos, en cuanto a la aplicabilidad verdadera de estos recursos en la educación de la geografía. Este análisis entiende una revisión bibliográfica, a la luz de teorías y de conceptos en el proceso de la educación y de aprender de la geografía y el uso de los recursos de los geocartográficos el largo de historia. El objetivo para caracterizar pertenecer al espacio de la escuela, a la escuela en la comunidad, a la educación de la geografía y al uso de los recursos cartográficos, la importancia de los recursos didácticos como ayudas de los metodológicos en la educación de la geografía, la dirección de señalar soluciones para mejorar las lecciones en Ensino básico, y comtemplaba preguntas primordiales relativas a los profesores prácticos; para la comprensión, mientras que profesional de la educación, la lucha para la valuación de la enseñanza y la educación pública; para la importancia social de la mejora de la formación de profesores de la educación básica, en el ejercicio completo de las actividades de enseñanza, y para el acceso a las fuentes y a los espacios de la investigación donde ejercemos la función del profesor del formador en el Instituto de Educación Superior Presidente Kennedy IFESP

Concepções sobre os livros didáticos de geografia: narrativas autobiográficas de professores do ensino fundamental

O livro didático é um complexo objeto cultural, haja vista ser ao mesmo tempo elemento de intermediação nos processos de ensino e aprendizagem, produto comercializado que contém o conhecimento para a formação do aluno e objeto de compra, pelo Governo Federal, para ser distribuído para escolas em todo o Brasil. Configura-se, assim, como um produto cultural composto, híbrido, que se encontra no “cruzamento da cultura, da pedagogia, da produção editorial e da sociedade”. (STRAY,1993, p.77-78). Outrossim, o livro didático, tradicionalmente, é “um dos lugares formais do conhecimento escolar, pelo menos daquele saber julgado necessário à formação da sociedade e dos seus indivíduos” (MEDEIROS, 2006, p.34) e a materialização do seu uso pelo professor encontra-se interconectada pelas representações e conceitos construídos nas múltiplas transições na história de vida docente, tendo em vista que a práxis humana constrói-se numa perspectiva retroativa (do presente para o passado), numa hermenêutica social dos atos individuais. É nesse contexto que se situou a pesquisa, entendida como uma possibilidade de contribuição significativa ao debate da educação geográfica, ao propor a compreensão das concepções construídas nas múltiplas transições na narrativa de vida do docente com o livro didático de Geografia. A pesquisa se definiu como um estudo qualitativo, ancorado nas entrevistas narrativas, o qual abrangeu um levantamento de dados sobre as Histórias de vida de professores/professoras dos anos iniciais do Ensino Fundamental de uma escola da rede pública, no intuito de recorrermos às suas memórias escolares, acadêmica (formação inicial) e profissional para situarmos no espaço-tempo as suas concepções sobre o livro didático de Geografia. O livro didático de Geografia foi a área de interesse escolhida, sendo problematizada a partir do seguinte questionamento: quais as concepções atribuídas pelos professores do Ensino Fundamental aos livros didáticos de Geografia? As ideias dos professores expressas nas entrevistas narrativas da nossa pesquisa confirmam a conjuntura de indefinição e superficialidade teóricometodológica sobre o livro didático de Geografia, cujas concepções ficaram restritas aos seus aspectos descritivos, evidenciando a ausência de atribuições de significados pertinentes a uma reelaboração teórica do narrar produzido, como também, de questionamentos dos princípios organizadores das concepções sistematizadas. Desse modo, as ideias apontadas pelos professores em foco, restringiram-se à enumeração dos aspectos característicos do fenômeno em questão – o livro didático de Geografia – na sua superficialidade, isto é, não expressaram elementos que possibilitassem ver as concepções numa perspectiva macro, destacando-se mais as explicações das partes e das percepções isoladas, do que níveis mais abrangentes de generalidade do referido objeto de estudo. Enfatizamos, por fim, a necessária continuidade da pesquisa, e consequentemente, desse processo permanente de reflexão sobre as concepções do livro didático de Geografia, sendo mister explicitar, portanto, a razão histórica que as norteiam para que se possa buscar uma prática docente mais crítica e propositiva.

O laboratório de ensino de matemática temático centrado nos instrumentos de navegação: uma proposta para o IFRN de Mossoró-RN

This work presents a proposal to build a Mathematics Teaching Laboratory (MTL) whose main theme is the study, construction and use of instruments for navigation and location of mathematical content in an interdisciplinary way approach, and develop a notebook of activities focused on navigational instruments. For this it was necessary a literature review to understand the different conceptions of MTL and its pedagogical implications. The methodology used was literature research, construction and handling of instruments, and pedagogical experimentation. Lorenzato (2006) highlights the importance of an environment and suitable for a professional who can do a good job instruments. The implementation of an LEM can find some obstacles. The lack of support from other teachers or the management, the lack of a suitable place to store the materials produced, the lack of time in the workload of the teacher to prepare the lab activity, etc. Even in unfavorable or adverse conditions, according Lorenzato (2006), its implementation will benefit teachers and students. The lack of teacher training in their initial and continuing education, to use materials, and the lack of manuals with lab activities are also mentioned as factors that keep teachers from MTL. With propóposito assist the teacher of elementary or middle school in building a theme MTL prepared and we are providing a notebook of activities that provides a didactic sequence involving History and Mathematics. The book consists of four accompanied by suggestions for teachers activities, however the teacher has full autonomy to adapt the activities to the reality of your school. Among the instruments of navigation presented in this study chose to build the quadrant due to its simplicity, low cost of material and great teaching potential that this instrument has. But a theme lab is always being built and rebuilt as it is a research environment

História da matemática e teatro nas aulas sobre Teorema de Tales: um script proposto

This study will present the results of an investigation of how the history of mathematics and theater can contribute to the construction of mathematical knowledge of students in the 9th year of elementary school, through the experience, preparation and execution of a play, beyond presentation of the script. This brings a historical approach, defining space and time of events, putting the reader and viewer to do the route in the biography of Thales of Miletus (624-546 a.C), creating situations that led to the study and discussion of the content related to the episode possible to measure the height of the pyramid Khufu and the Theorem of Thales. That said, the pedagogical proposal implemented in this work was based on theoretical and methodological assumptions of the History of Mathematics and Theatre, drawing upon authors such as Mendes (2006), Miguel (1993), Gutierre (2010), Desgrandes (2011), Cabral (2012). Regarding the methodological procedures used qualitative research because it responds to particular issues, analyzing and interpreting the data generated in the research field. As methodological tools we have used participant observation, the questionnaire given to the students, field diary and dissertativos texts produced by students. The processing and analysis of data collected through the questionnaires were organized, classified and quantified in tables and graphs for easy viewing, interpretation, understanding and analysis of data. Data analysis corroborated our hypothesis and contributed to improving the use and display of the play as a motivating activity in mathematics classrooms. Thus, we consider that the script developed, ie the educational product proposed will bring significant contributions to the teaching of Mathematics in Primary Education

Inércia e Natureza da Ciência no Ensino de Física: uma sequência didática centrada no desenvolvimento histórico do conceito de inércia

During the last decades the area of science education has discussed issues related to the inclusion of the History and Philosophy of Science (HFS) in the practice of science teaching. Among the arguments put forward in favour of this approach, it is pointed out the possible enhancement of scientific content learning and the understanding of the nature of Science (NoS). In spite of such considerations, we still have a very small number of research papers reporting results of practical interventions that utilize the historical approach, moreover, there is a lack of teaching materials in this perspective. Our work has sought to contribute to this area with regard to two aspects: on the one hand, with the production of didactic material, by drawing up texts on the history of inertia for graduate students. On the other hand, we investigate whether the arguments mentioned above in relation to the didactic use of HFS sustain themselves, in a particular context. We developed and applied a didactic sequence, using the texts that we built, to teach the concept of inertia and discuss selected contents of NoS. The didactic sequence was applied in two graduate classes, one from a course of Geophysics (BSc.) and another from the Physics (teaching formation), both from the Federal University of Rio Grande do Norte (UFRN). An initial survey exposed that students, even having approached the concept of inertia in basic education, presented conceptions of common sense regarding the relationship between force and motion. The questionnaire also allowed us to identify the existence of elements of concepts considered inadequate as regards to NoS. At the end of our research, our data indicated a greater number of positive hits on the issues concerning the concept of inertia. Regarding the aspects of NoS, we were able to identify, in a few cases, a move towards a more appropriate understanding, however, certain distortions persisted, highlighting the limitations of the approach used

Ensinar e aprender História na relação dialética entre interpretação e consciência histórica crítica

Teaching and learning History in dialectical relationship between interpretation and critical historical awareness has investigated the triggering of a theoretical-practical training process developed with a history teacher, her mediation in the teaching and learning of the discipline process, related to the appropriation of history text interpretation and the development of critical historical consciousness by public school 8 th-grade students of elementary level. It aims to analyze the relationship between mediation of teaching activity and ownership by the student on this level, the interpretation of history texts and development of this consciousness. It has been opted for collaborative research, as training and strategy, and was employed as procedures for the formation of knowledge: Meeting, Cycles of Reflexive Studies, Planning (with teachers), Observation performed in real life and portfolio (involving students). The teacher appropriated of contributions of the theory by P. Ya . Galperin and critical historical consciousness and developed a teaching process using a methodology grounded in theoretical constructs this author. The students appropriated the interpretation of history texts and demonstrated to be in a process of developing a critical historical consciousness. Performance of the students occurred more consistently in the interpretations implemented in groups, with teacher guidance and support of the activity map. Training processes, performed in and about teaching and student activities, revealed an improvement in teacher's professional development and the knowledge and expertise of the students. It has contributed to this, the critical reflection experienced in the investigative process. Given these findings, as needs of new thinking, research recommends the development of teaching and learning processes in other years of elementary school, involving the interpretation of history texts and the development of critical historical consciousness of students.

Integração e interdisciplinaridade no processo ensino/aprendizagem de projeto: o curso de Arquitetura e Urbanismo da Universidade Potiguar de Mossoró-RN

Training in Architecture and Urbanism with its general characteristic involves, in its nature, knowledge of various areas (technology, theory, history, representation, and design), being the space of design conception that place where the synthesis of this knowledge is reflected more clearly. We believe that the integrated work in the architectural curriculum can provide an overview of the project, thus contributing to better training of the architect. This research aims to reflect on the role of integration and interdisciplinary in teaching architectural design. This theme has been work recurrently by critics in the teaching area of project and events of the area as the seminars of the Projetar, highlighted by several authors to search integration as an essential pedagogical approach to design education. The work aims to contribute to reflection and awareness of those involved on the importance of integration in the architectural course of project processes. For this, we analyzed the potential and limits of this process in Architecture and Urbanism Course (CAU) at the Universidade Potiguar (UNP) Mossoró, which has the integration and interdisciplinary recorded since the Pedagogical Project of the Course. This analysis will be performed by observing the development of “interdisciplinary work” in the fifth term during the first half of 2014.1. This research concerns an exploratory qualitative study that aims to investigate specific issues on the teaching/learning architecture project and the integration in architecture courses, following a non-participant observation in architectural design classes in the fifth term of CAU/UnP/ Mossoró, and analysis of final products, which would be the work of the last unit of the semester, called “Interdisciplinary work”. Questionnaires for the teachers who participated in the process has been apply via email and analyzed. Reflection supports several other already carried out to identify the difficulties inherent in applying these principles satisfactorily. Noting, however, that interdisciplinarity, in fact, it goes beyond integration and is even more difficult to achieve. In addition to an educational project that incorporates these principles, such as the course of Architecture and Urbanism of the UNP-Mossoró, full adhesion it is necessary by the faculty and students of this teaching philosophy.

Integração e interdisciplinaridade no processo ensino/aprendizagem de projeto: o curso de Arquitetura e Urbanismo da Universidade Potiguar de Mossoró-RN

Training in Architecture and Urbanism with its general characteristic involves, in its nature, knowledge of various areas (technology, theory, history, representation, and design), being the space of design conception that place where the synthesis of this knowledge is reflected more clearly. We believe that the integrated work in the architectural curriculum can provide an overview of the project, thus contributing to better training of the architect. This research aims to reflect on the role of integration and interdisciplinary in teaching architectural design. This theme has been work recurrently by critics in the teaching area of project and events of the area as the seminars of the Projetar, highlighted by several authors to search integration as an essential pedagogical approach to design education. The work aims to contribute to reflection and awareness of those involved on the importance of integration in the architectural course of project processes. For this, we analyzed the potential and limits of this process in Architecture and Urbanism Course (CAU) at the Universidade Potiguar (UNP) Mossoró, which has the integration and interdisciplinary recorded since the Pedagogical Project of the Course. This analysis will be performed by observing the development of “interdisciplinary work” in the fifth term during the first half of 2014.1. This research concerns an exploratory qualitative study that aims to investigate specific issues on the teaching/learning architecture project and the integration in architecture courses, following a non-participant observation in architectural design classes in the fifth term of CAU/UnP/ Mossoró, and analysis of final products, which would be the work of the last unit of the semester, called “Interdisciplinary work”. Questionnaires for the teachers who participated in the process has been apply via email and analyzed. Reflection supports several other already carried out to identify the difficulties inherent in applying these principles satisfactorily. Noting, however, that interdisciplinarity, in fact, it goes beyond integration and is even more difficult to achieve. In addition to an educational project that incorporates these principles, such as the course of Architecture and Urbanism of the UNP-Mossoró, full adhesion it is necessary by the faculty and students of this teaching philosophy.

História da matemática na formação de professores: sistemas de numeração antigos

This essay aims to present and describe a proposal of insertion of Mathematics History into teachers undergraduation. Such addition proposal is expected to take place as curricular component to be taught on initial undergraduation for mathematics teachers. The selection of contents for the proposal has been based on the national Curriculum Guidelines (DCN, 2001, acronym in portugueses) for bachelor’s degree in Mathematics; the National Curricular Guidelines for Elementary School (PCNEF, 1998, acronym in Portuguese); and the National Curricular Guidelines for High School (PCNEM, 1999, acronym in Portuguese). The curricular component now presented is supposed to take a 60 hour workload, and includes the following topics: History of Ancient Numbering Systems, History of Trigonometriy and History of fuctions. For the sake of exemplification, the topic History of Ancient Numbering Systems is discussed and analysed in detail as practice for the new curricular component.