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

Contribuições de uma unidade de ensino potencialmente significativa UEPS para o ensino de ecologia em escola pública da educação básica

The research aims to evaluate the contributions of a teaching unit to enhance the learning contents ecological green areas in elementary school. The work was conducted with elementary students in a public school in Natal-RN. We sought to identify the students´ previous knowledge about the contents of ecology, develop and implement a Potentially Meaningful Teaching Units PMTU; assess learning of ecological concepts in Teaching Unit Potentially Significant; assess the contribution of interpretative trail as strategy teaching to learning content ecology. The survey of students´ previous knowledge through the pre-test was essential to identify the appropriate subsumers and partially correct, since they served as "anchor" for further expansion of scientific concepts contained in this research. The green areas of the school as an educational, contributed the motivational aspect, as students were protagonists throughout the entire process of teaching and learning. The method of stimulated memory was effective to evidence learning ecological concepts in interpretive trails. The use of diverse activities organized on a PMTU promoted intellectual autonomy of the students and facilitated the acquisition of new meanings through progressive differentiation, and integrative reconciliation consolidation of ecological content and concepts related to biotic and abiotic factors on the basis of the central ideas thematic Life and Environment. The development of procedural skills to capture and share meanings, observe, collect and record data, hypotheses, ability to explain, to apply knowledge to solve problem situations, argue, identify, compare, differentiate and relate concepts, negotiate meanings, reflecting Critically, systematize data was evidenced. Collaborative activities promoted the incorporation of attitudinal contents as developing respect for differences, learn to work in teams to plan, develop and implement actions together for citizenship and environmental responsibility. The application of the Potentially Meaningful Teaching Units PMTU showed evidence of Critical meaningful learning ecological concepts covered in elementary school.

Dificuldades de aprendizagem sobre conceitos de genética no ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Saberes de astronomia no 1º e 2º ano do ensino fundamental numa perspectiva de letramento e inclusão

This work suggests a discussion about methodologies and didactic-pedagogical activities for the teaching of Astronomy in first and second cycles of the primary school, in a perspective of literacy and inclusion. The presented proposals have been developed in a group of the Public School Alceu Amoroso Lima, North of Natal city, with children since six years old, amongst which two considered as being with special needs . This research aims to demonstrate that it is possible to develop with those children the contents of Astronomy, while they participate of the process of literacy and inclusion. From this, we are searching a theoretical-practical contribution so that the Parâmetros Curriculares Nacionais (Brazilian Nacional Curricular Guideness) include the referred contents in first cycle of primary school. For the accomplishment of this research, Experiential Astronomy was initially proposed. Later on, many workshops had been carried through (clay, ripping , crepon paper, plasticine, cardboard and gastro-lunar ). All the proposed activities were based on the conjunction of contents, which characterized the interdisciplinarity. Through the approach we adopted and the practices we proposed, we could evidence that not only children considered as being normal , but also that ones who carries special needs could appropriate themselves of our writing code, develop and incorporate a daily relationship close to the stuffs of the sky, learn many information about all of this, besides constructing attitudinal, procedural and conceptual contents

Propostas e discussões para o ensino de astronomia nos 1º e 2º ciclos do nível fundamental e na educação de jovens e adultos

This work aims to propose and to discuss methodologies and practical activities for Astronomy teaching in the 1st and 2nd cycles of the primary education and in the adult education. The proposals presented here were applied to students from the metropolitan region of Natal (RN), including students of the called normal education (formerly magisterial education) and of the undergraduate formation in pedagogy at the Instituto de Formação Superior Presidente Kennedy , and also, in particular, to teachers and students of public municipal school Escola Municipal Djalma Maranhão at the district of Felipe Maranhão II, also analyzing some didactic books used by these institutions. Several elements which we confronted with during this didactic-pedagogical experience were systematized, indicating principles, contents, reflections and procedures related to Astronomy teaching to students of those levels of education. Doing this we aim to make such an experience accessible to those interested in developing a similar approach involving the themes treated here as well as other ones related to Astronomy for those levels of education. The resources and practices implemented here aim to contribute to the effective realization of an interdisciplinary and contextualized education according to orientations proposed by the Parâmetros Curriculares Nacionais (Brazilian National Curricular Guidelines). In order to guarantee a broad accessibility to what we propose in this work, we intend to make available in printed form and also in an Internet page the procedures, instruction materials and texts we developed

Uma proposta metodológica do ensino da química para alunos da Zona Rural :O estudo do leite

La enseñanza desarrolló, así como los métodos y las técnicas de enseñar. Aquí el he/she piensa un método instrucción, en que el estudiante está más de un oyente simple: además la parte íntegra, él se llama para intervenir continuamente, mientras tocando una parte ancho, interactivo e involucrando, del contextualização del tema para ser trabajado -inclusivo, asocie día a día al his/her y contextual al programa de la disciplina de Química, hasta la manera como ese tema debe explorarse. La leche, el tema pone en correlación al origen del grupo de los estudiantes seleccionados, fue explorado, dentro de una visión sistémica, bajo el punto de vista de la composición de las propiedades de la industrialización y de la comercialización. Buscando prever los caminos de la construcción y organización del conocimiento de los estudiantes, se usó el modelo de administración mental de Antoine de La Garranderie y la teoría de aprender de Ausubel. El conocimiento de los estudiantes se supervisó antes, durante y al final de las actividades desarrolladas, práctica que permitió verificar la evolución y el nivel de asimilación conceptual de éstos con respecto al tema en el estudio. El análisis de los resultados obtenidos, después de la aplicación de una encuesta que contempla veinte asuntos, todo pertinentes al tema, demostró un nivel del uso sobre el promedio, lo que merecido la pena el método de enseñanza propuesta

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

Física e pintura: dimensões de uma relação e suas potencialidades no ensino de física

Neste artigo são discutidas possibilidades de uso das relações entre a física e a pintura no Ensino Médio. A partir das propostas de ensino oficiais, que já incorporam a necessidade de rever a abordagem usual dos conceitos da física, e de propostas de outros autores que afirmam a necessidade de dar outros sentidos aos conceitos físicos, mostramos como o desenvolvimento da física e da pintura indicam aproximações, e de como estas podem contribuir para a compreensão de conceitos dessa e de outras disciplinas, bem como para a compreensão da realidade em seu sentido mais amplo.

O ensino de língua inglesa em um instituto federal : uma análise das recomendações documentais e da perspetiva dos professores

This work aims to understand the teaching of English at the Federal Institute of considering the recommendations of official and technical documents for the integrated secondary school and the perspective of the English teachers settled in one of the campuses of the Institute. It is also an objective of this research to infer as to what extent the perspective of teachers is articulated to the documental recommendations. For this purpose, several official and technical documents (LÜDKE; ANDRÉ, 1986), such as the PCNEMs (BRAZIL, 2000), the OCNEMs (BRAZIL, 2006) and the Political-Pedagogical Project of the Institute (IFRN, in press) were gathered, and a questionnaire was submitted to six teachers of English from one of the campuses of the institution. The theoretical references of the research include, among others, Bakhtin (1997; 1999), Widdowson (1991), Almeida Filho (2011; 2004), Celani (1988; 2009), Hutchinson and Waters (1987) and Dudley-Evans and St. John (1998). The results show that the teaching of English according to the documents predicts the instrumental use of the foreign language, but suggests the development of competences and skills as contextualized social practices, aimed at the education of the student as a professional-citizen. The perspective of teachers, in turn, points to a concern that the teaching of English serves as a tool for improving student life through the instrumental use of language as a means of accessing information and professional training. This finding reveals that the articulation between the documental recommendations and perspective of teachers does not go beyond what refers to the instrumental language teaching, since teachers do not show, when reporting their practices, the teaching of language as social practice, as mentioned in the legal texts

O ensino de conteúdos de História e Filosofia da Ciência

O presente trabalho de pesquisa consistiu em duas etapas: (i) produção de um Guia de Estudos em que a história das pesquisas sobre a febre amarela (1881-1903) foi usada como subsídio para a discussão de alguns importantes aspectos do processo de produção de conhecimentos na ciência; (ii) realização de experiência pedagógica em que o Guia de Estudos foi aplicado junto a alunos do ensino médio. Os resultados obtidos forneceram evidência da viabilidade do uso da História da Ciência no Ensino de Ciências.

Pistas orgânicas: uma atividade lúdica para o ensino das funções orgânicas

Educational games can work as a complementary tool in teaching and learning chemistry, playing an important role in the development of the students cognitive structures, familiarizing them with certain conceptual content, which may arouse interest in the study of such content. In this work, we made an analysis of organic chemistry textbooks recommended by Programa Nacional do Livro Didático 2012, for high school students in order to verify the existence of methodological proposals using educational games. From this analysis, we proposed an educational game to be developed for students on 3º year of high medium and undergraduate chemistry, that are in 1º semester of the course, which is constituted of a tray and 48 letters, which work various concepts concerning organic functions, such as: structural characteristics, physical properties, chemical and properties diverse of the compounds used for the confection of the letters. The game was applied to a class degree in chemistry, period 2012.1 to a Federal Education of Rio Grande do Norte and a group of students of the 3rd year of the state schools of Rio Grande do Norte, in the period the months of April and May 2012. The analysis of the performance of the game proposed was made using visual observations, photographic records and testimonials of students who participated in the games. The instrument used for the data collection was the student questionnaire, which was similar for both groups, differing only in the amount of questions, because one of them had one more question. During application of the game it was observed that it constitutes a dynamic strategy in the teaching and learning of chemistry concepts, given that students actively participated in the classes as well, demonstrated more motivation in the construction of concepts, furthermore, it was possible to observe evidence of other possibilities of the game. This could be verified through visual observations and testimonials at the end of each game, by reading the answers to the questionnaires

A contextualização e a interdisplinaridade no ensino de Química: uma analise de livros didáticos ACIDO-BASE e das propostas pedagógicas realizadas pelos docentes diante da temática

Nowadays, chemistry contents taught in high school continue to be presented in a fragmented and decontextualized manner by the teachers and the textbooks. Even though it is known that contextualization and interdisciplinary exchange play an important role in the process of Chemistry teaching/learning. Therefore, the present study aims at enlightening the importance of these methodological foundations in the learning of chemistry. The data acquisition about the subject Contextualization and Interdisciplinary Exchange involved in Chemistry Teaching was developed through bibliographical researches on chemistry textbooks, which focused on the analysis of the topics acid and base , since it is a theme studied throughout all three years of high school. The present study also developed questionnaires which were applied to analyze to what extent chemistry teachers are working in a contextualized and interdisciplinary manner throughout the process of Chemistry teaching/learning. The results obtained in the researches show that a contextualized and interdisciplinary teaching contributes to a more meaningful acquisition of chemistry knowledge, in a dynamic and interactive way, but there are still many roadblocks towards the achievement of this kind of Chemistry teaching/learning process

Avaliação da hipermídia no processo de ensino e aprendizagem da física: o caso da gravitação

Neste artigo são apresentados os principais resultados obtidos em uma atividade realizada para avaliar um software hipermídia destinado ao ensino e à aprendizagem da Física. Para a realização desta pesquisa, foi desenvolvido, aplicado e avaliado um sistema hipermídia para o ensino de Gravitação, com base nas pesquisas em ensino de Ciências. Foram considerados também os princípios fundamentais que caracterizam a hipermídia enquanto linguagem que permite o acesso não-linear à informação e a apresentação desta com a utilização dos recursos gráficos, sonoros, interativos e de animação do computador, e ainda suas implicações para as práticas de ensino. A maior parte dos professores e dos estudantes envolvidos na pesquisa avaliou positivamente o software quanto a seus aspectos técnicos, pedagógicos e motivacionais. O estudo forneceu evidências de que a hipermídia contribui para a aprendizagem de Física de modo motivador e significativo para os alunos do ensino médio.

Notas sobre o problema da explicação e da experiência no ensino da Filosofia

Apesar do esforço dos defensores do ensino da Filosofia para que essa disciplina volte a fazer parte do Ensino Médio, observamos, atualmente, seu abandono nos cursos universitários. Notamos que hoje, na sociedade normalizada e no espaço educacional, não é mais valorizado o desenvolvimento integral do pensamento, mas a transmissão de uma série de conteúdos que, supostamente, dão condições para a integração do estudante no quadro do progresso tecnológico e proporcionam sua entrada no mercado de trabalho. Circunscrevendo-se nesse contexto, neste texto pretende-se investigar o espaço em que o ensino da Filosofia se desenvolve na atualidade. Delineando os contornos de um problema que emerge nos espaços institucionais universitários onde o ensino da Filosofia ainda persiste, procurou-se evidenciar em que bases a Filosofia é ensinada. Procurou-se, ainda, compreender quais consequências os modos de compreender o ensino da Filosofia trazem para o aprendizado do filosofar. Uma consideração a que se pode chegar, a partir deste estudo, é a de que o ensino da Filosofia além de não privilegiar, e muitas vezes negar, a experiência de pensamento que o aluno pode fazer e ter com o texto filosófico, contribui para o empobrecimento dessa mesma experiência do e com o filosofar.