122 resultados para Ensino de matemática. Análise combinatória. Heurística deproblemas de análise combinatória


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The present dissertation tells a proposal of based pedagogical intervention in the use of practical corporal cooperatives during lessons of physical education in intention to create situations that allow to educating to reflect on the violence and its consequences in the social relations in the school. For in such a way, we leave from the following question of study: which perspectives of the physical education to contribute to minimize the aggressive and violent attitudes of the pupils in the school? Centered in the objective to reflect on the aggressiveness, the violence and bullying in the school, the light of a theoretical recital and in the perspectives of contribution of practical the corporal cooperatives for the reduction of its effect in the pertaining to school environment, in particular in the lessons of physical education, we search among others to involve the pupils in activities that stimulated the expression of human values as solidarity, respect and cooperation. In this intention, we opt to a ethnographic study for the possibility of next interaction between investigator and the investigated one. Our research is directly on to the social aspects that involve the problems of the society in a general way, in the attempt to diminish the decurrent problems of aggression situations, that they happen in one definitive municipal school of the city of Natal/RN, the sample being constituted of pupils of 6º year of Basic Education. It analyzes the practical situations lived deeply by the pupils had revealed efficient to minimize the aggressive attitudes in the pertaining to school space, as well as it opens perspectives so that the educators deal better with such attitudes, using to advantage them to educate the pupils in the direction to stimulate the good relations. We believe that with this research, to be able to of course share with other schools our experiences in the attempt of resolution of similar problems regarding thematic of the aggressiveness, respecting the specificity of each school in particular

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The present study constitutes a discussion about the application of Structured Activities to the construction of the mathematical knowledge, proposed by Richard Skemp. The discussion is based on the research that the author carried out in a public school of the state education chain buy using procedures of the research-action. It investigates the possibility of adoption of the proposal of Skemp in a new reality. It utilizes explanations from several theorists to understand the necessity and, at the same time, to enhance the efficiency of the referred activities in first grades of elementary school when students have their first mathematics teachings. It emphasizes the important rule of the teacher, as mediator to the mental constructions of the child. It presents considerations about the results achieved by the research, noticing the possibility of adoption of the studied proposal even though it is necessary an adjustment of the procedures to appropriate didactic-pedagogic requirements to the educational reality in which this project was done

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This work has as objective to describe mathematical knowledge used as tools in the manufacture and marketing of tiles of red ceramic by potters of the Currais Novos village/ RN, located 250 km from the capital of Rio Grande do Norte. For us to reach our objective, we rely on conceptions ambrosianas of Ethnomatematics, besides of the qualitative research in an ethnographic approach. In the empirical part of the research, that went it accomplishes in the period from 2009 to 2012 in the Currais Novos Village, we support the following tools for data collection, semi-structured interviews, field diary, photographs, audio recordings and participant observations. In the analysis of the collected data, we can conclude that there are mathematical knowledge in the management of manufacture and marketing of tiles, often different from the academic mathematics, mainly in the wood cube, on cube of the clays, in the handler with the measures time, the count method , in the arrangement of tiles, in the preparation of the ceramic mass and sale of tiles. Theses knowledge were described and analyzed in the light of the theoretical Ethnomatematics, also supported in official documents, such as Parameters Nacional Curriculares. The analyzes of these knowledge generated subsidies for elaboration of an educational product - a proposal of didactic sequence destined to the Teaching of Mathematics in Elementary and Middle levels for the community schools and region, this proposal is in the Appendix to this work

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The present work aims to show a possible relationship between the use of the History of Mathematics and Information and Communication Technologies (TIC) in teaching Mathematics through activities that use geometric constructions of the “Geometry of the Compass” (1797) by Lorenzo Mascheroni (1750-1800). For this, it was performed a qualitative research characterized by an historical exploration of bibliographical character followed by an empirical intervention based on use of the History of Mathematics combined with TIC through Mathematical Investigation. Thus, studies were performed in papers dealing with the topic, as well as a survey to highlight problems and /or episodes of the history of mathematics that can be solved with the help of TIC, allowing the production of a notebook of activities addressing the resolution of historical problems in a computer environment. In this search, we came across the problems of geometry that are presented by Mascheroni stated previously in the work that we propose solutions and investigations using GeoGebra software. The research resulted in the elaboration of an educational product, a notebook of activities, which was structure to allow during its implementation, students can conduct historical and/or Mathematics research, therefore, we present the procedures for realization of each construction, followed at some moments by original solution of the work. At the same time, we encourage students to investigate/reflect its construction (GeoGebra), in addition to making comparisons with the solution Mascheroni. This notebook was applied to two classes of the course of Didactics of Mathematics I (MAT0367) Course in Mathematics UFRN in 2014. Knowing the existence of some unfavorable arguments regarding the use of history of mathematics, such as loss of time, it was found that this factor can be mitigated with the aid of computational resource, because we can make checks using only the dynamism of and software without repeating the construction. It is noteworthy that the minimized time does not mean loss of reflection or maturation of ideas, when we adopted the process of historical and/or Mathematics Investigation

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La enseñanza de problemas se ha investigado en la didáctica de las ciencias naturales como un medio importante para desarrollar el aprendizaje de los conocimientos científicos y la formación de competencias básicas. Dada la importancia de los libros de texto para la enseñanza de la ciencia, con el fin de verificar el enfoque de la enseñanza con problemas en los libros de química, se procedió a una investigación realizada en las obras aprobadas en PNLD 2012, basado en el método de Análisis de Contenido. Se analizó el contenido de la estructura atómica, como marco teórico la perspectiva de la enseñanza problémica, basada en el materialismo histórico y dialéctico. Metodológicamente la investigación presenta un carácter cualitativo. Los resultados del análisis de contenido corroboraron la cuestiones de estudio iniciales relacionadas con la explicación centrándose en los problemas, lo que permitió inferir la elaboración de una Unidad Didactica basada en los métodos problémicos para la enseñanza de los modelos atómicos por la exposición problémica, la conversación heurística y la busca parcial, como forma de aproximar los estudiantes a la naturaleza de las ciencias naturales y contribuir al desarrollo de actitudes positivas en el aprendizaje de la química

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This is work itself insert in the mathematics education field of the youth and adult education to aim to practitioners of the educational action into the mathematics area performing to with this is teaching kind, adopting to as parameter the Mathematics Molding approach. The motive of the research is to draw up a application proposal of the molding mathematics as teaching and learning geometry alternative in the youth and adult education. The research it develops in three class of the third level (series 5th and 6th) of he youth and adults education in the one school municipal from the Natal outskirts. Its have qualitative nature with participating observation approach, once performing to directly in to research environment as a mathematics teacher of those same classes. We are used questionnaires, lesson notes and analyses of the officials documents as an basis of claim instruments. The results indicates that activity used the mathematic moldings were appreciated the savoir-faire of the student in to knowledge construction process, when search develop to significant learning methods, helping to student build has mathematics connections with other knowledge areas and inside mathematics himself, so much that enlarges your understanding and assist has in your participation in the other socials place, over there propitiate to change in student and teacher posture with relation to mathematic classroom dynamics

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This research part of the educational context of the Federal Rio Grande do Norte, through the resumption of legal frameworks that characterize it as an institution belonging to the Federal Network of Professional Education and Technology Brazilian, with a focus on continued education policies for the servers who work there specifically teachers, especially those who have their work in the Teaching of Natural Science and Mathematics. To do this the cut in an agreement between the IFRN and UFRN PPGECNM through the professional master's degree Teaching of Natural Sciences and Mathematics. This agreement as we have research collaborators 08 master teachers who graduated in the period 2004 to 2010, so we undertook a qualitative and quantitative research aimed to conduct the study in general terms of description and analysis of the impacts caused by the formation of masters IFRN in PPGECNM UFRN, taking into account the production of the same academic (dissertation), his performance in the context of the institution and the historical, social, economic and political aspects involved, and also meet the guidelines of the project at the Observatory in 2008 - MEC / CAPES / BSD-P. We used the theoretical options methodological elements of Comprehensive Interview and multireferentiality, our data collection instrument was the main interview, we also performed the analysis of dissertations by lecturers and teachers featured, from the specific descriptors used in catalogs USP / IFUSP (1992, 1996) and UNICAMP / FE / CEDOC (1998) and by other researchers. In analyzing and understanding the speech of the interviewees were able to identify the implications of teacher education in the school context, the motivation to seek the Master; how was the construction of the object of study of the educational product and its use in teaching practice and intervention, the question of the role of master teachers in the school environment to the post master taking into account changes in professional performance and influence in the working groups, how does the use of research and investigation in the classroom after training and between training and educational quality in the context of IFRN. In reading and analysis of the dissertations were able to identify the main focus and under-explored thematic focus as well as the theoretical methodological references. At the end of the research developed a product that could be used for technical analysis studies and assessment in quantitative terms the results achieved by the master teachers IFRN through his training in PPGECNM UFRN

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This paper discusses aspects related to the mathematical language and its understanding, in particular, by students of final years of elementary school. Accordingly, we aimed to develop a proposal for teaching, substantiated by mathematical modeling activities and reading, which takes advantage of the student of elementary school a better understanding of mathematical language for the content of proportion. We also aim to build / propose parameters for the assessment of reading proficiency of the language of the student in analyzing and modeling process, its ability to develop/improve/enhance this proficiency. For this purpose, we develop a qualitative research, with procedures for an action research whose analysis of the data is configured as Content Analysis. We refer to epistemological and didactic, in the studies: Piaget (1975, 1990), Vygotsky (1991, 2001), Bakhtin (2006), Freire (1974, 1994), Bicudo and Garnica (2006), Smole and Diniz (2001), Barbosa (2001), Burak (1992), Biembengut (2004), Bassanezi (2002), Carrasco (2006), Becker (2010), Zuin and Reyes (2010), among others. We understand that to acquire new knowledge one must learn to read and reading to learn it, this process is essential for the development of reading proficiency of a person. Modeling, in turn, is a process which enables contact with different forms of reading providing elements favorable to the development here mentioned. The evaluation parameters we use to analyze the level of reading proficiency of mathematical language proved to be effective and therefore a valuable tool that allows the teacher an efficient evaluation and whose results can guide you better in the planning and execution of their practice

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El trabajo práctico experimental en la educación en Ciencias y en el contexto de la enseñanza de la Biología es un objetivo clave. Teniendo en cuenta la influencia de los libros de texto en la actividad profesional de docentes, interesado en este estudio para caracterizar la orientación de este tipo de materiales, para el trabajo práctico experimental y el uso de la medición en esta actividad. Para ello analizaron las ocho colecciones de libros de Biología aprobado en PNLD en 2012. La investigación es de naturaleza descriptiva e interpretativa y de recogida de datos ha sido elegida por el método de análisis de contenido (BARDIN, 2002). El análisis de los trabajos práctico experimentales buscó caracterizar su naturaleza epistemológica, concepción de la ciencia implícita, conceptual, tipología, contenido conceptual de Biología utilizado, cuántos implican medidas, y cómo se utiliza en este contexto según el procedimiento general para medir propuesto por Núñez y Silva (2008). Los trabajo práctico experimental ha sugerido una epistemología de la enseñanza conceptual, carácter racionalista en su mayoría y dominada por las actividades del tipo de ejercicio práctico, a necesidad de medir está presente en una minoría de estos y se se utiliza el procedimiento general de medición de forma parcial e implícito en la mayoría de los trabajos prático experimentales. Por lo tanto, proponemos en este actividades de estudio a desarrollar una guía de análisis de los trabajo práctico experimentales propuesto en los libros de texto de Biología

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The importance of the Professionals Master in the field of science education is revealed by the recognition that they provide, to practicing teachers, in particular, training spaces for reflection and application of knowledge. This work appears in the context of the project "Research and training in teaching science and mathematics: a cutout of academic production in the northeast and overview of formative action in basic education" on the Centre for Education program, which main objective was to conduct studies description, analysis and evaluation of the academic production of Postgraduate Programs in Science Teaching of UFRPE, UFRN and UEPB and investigate the contribution of continuing education in stricto sensu level, of graduated teachers to improve the quality of basic education . We sought to examine a cut of academic production PPGECNM / UFRN, taking as reference dissertations of Natural Sciences, finished between the years 2005 and 2012, which have developed and applied educational products for high school students. More specifically we sought to conduct a general characterization of the dissertations analyzed for basic descriptors, to understand if and how the official documents governing the Brazilian education, especially science education, subsidized development of dissertations and identify current trends for science teaching are addressed and which ones are used in preparing the product of dissertations. The survey was based on documentary analysis, a type of qualitative approach in which the documents are objects of study in themselves. The results revealed that most of the work was developed in public schools, on subjects of physics and chemistry. During analytical reading of the text of the dissertations was observed that, in its construction, most of them addressed somehow, official documents governing the Brazilian educational system, that the products are basically teaching units and teaching approaches that are more focused on Experimentation and History and Philosophy of Science

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The present work turns on the public politics of digital inclusion and of the impact of the Technologies of the Information and Communication in the formation of the citizenship. For this, it was opted for doing an analysis of effectiveness of the performance of the objectives of the Proinfo (National Program of Computer Science in the Education) municipal district of Natal-RN. As instrument of collection of data, three types of questionnaires were used. The collected data were analyzed and discussed starting from it analyzes it descriptive of averages and analyze of multiple regression. The results of the research pointed that the teachers and the students use the computer science in a restricted way. On the other hand, the digital education is not still totally contemplated in the schools beneficiaries' digital rérumé by Proinfo municipal and thus, the inefficacy of the program was verified with relationship the educational training and the students' digital inclusion

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This thesis pursuits to contextualize the theoretical debate between the implementation of public education policy of the Federal Government focused in a distance learning and legal foundations for its enforcement, in order to raise questions and comments on the topic in question. Its importance is back to provide scientific input and can offer to the academy, particularly in the UFRN, and elements of society to question and rethink the complex relationship between the socio-economic and geographic access to higher education. It consists of a descriptive study on the institutionalization of distance education in UFRN as a mechanism for expanding access to higher education, for both, the research seeks to understand if the distance undergraduate courses offered by the UAB system and implemented at UFRN, promote expanding access to higher education, as it is during implementation that the rules, routines and social processes are converted from intentions to action. The discussion of this study lasted between two opposing views of Implementation models: Top-down and Bottom-up. It is worth noting that the documents PNE, PDE and programs and UAB MEETING reflect positively in improving the educational level of the population of the country It is a qualitative study, using the means Bibliographic, Document and Field Study, where they were performed 04 (four) in 2010 interviews with the management framework SEDIS / UAB in UFRN. The data were analyzed and addressed through techniques: Document Analysis and Content Analysis. The results show that the process of implementation of distance education at UFRN is in progress. According to our results, the research objective is achieved, but there was a need to rethink the conditions of the infrastructure of poles, the structure of the academic calendar, the management of the SEDIS UFRN, regarding the expansion of existing vacancies and the supply of new courses by the need for a redesign as the Secretariat's ability to hold the offerings of undergraduate courses offered by the Federal Government to be implemented in the institution. It was also found that levels of evasion still presents a challenge to the teaching model. Given the context, we concluded that the greatest contribution of UAB and consequently UFRN by distance learning for undergraduate courses (Bachelor in Mathematics, Physics, Chemistry, Geography and Biological Sciences, beyond the bachelor's degrees in Business and Public Administration ) is related to increasing the number of vacancies and accessibility of a population that was previously deprived of access to university

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O objeto de estudo desta tese é o ensino de projeto de arquitetura no contexto acadêmico brasileiro. O trabalho procura analisar esse objeto nos aspectos relativos ao ensinar a fazer e ao aprender a fazer , por meio de uma perspectiva epistemológica e cognitiva, a partir da produção científica dos Seminários UFRGS (1985) e Projetar (2003-2011) sob o olhar de três estados constitutivos: conservação, permanência e transformação. A metodologia de investigação é qualitativa e seus pressupostos são investigad os por meio do método hipotético-dedutivo em busca de um conhecimento aproximativo. Dentro do universo pesquisado, as hipóteses conduzem: primeiro, à investigação e caracterização de estruturas que se conservam; segundo, à investigação e levantamento de valores e conceitos que permanecem adequados por sua capacidade de adaptação às mudanças e paradigmas; e, terceiro, por procurarem destacar práticas pedagógicas que indicam novos caminhos na maneira de agir e de se pensar o ensino de projeto de arquitetura. A pesquisa demonstrou que, embora em menores proporções, ainda se conservam ações e posturas pedagógicas que: valorizam os ideais funcionalistas e racionalistas da arquitetura; adotam posturas deterministas, caminhos prescritivos ou intuitivos no ensino da concepção arquitetural; não apresentam clareza metodológica na abordagem da problemática arquitetônica; os contextos urbanos são pouco explorados na experimentação; utilizam um sistema de concepção baseado em princípios estéticos canônicos e universais, sem problematizar as causas da transformação da arquitetura contemporânea e qual o seu papel numa sociedade complexa e diversificada. Com relação às novas perspectivas encontradas, a análise da produção científica demonstrou que a prática pedagógica do ensino de projeto de arquitetura no Brasil passa por transformações críticas valiosas. Essa constatação foi percebida, por meio, também, de reflexões e de práticas pedagógicas que valorizam a integração de conteúdos; que possuem um discurso crítico e conciliador com relação à necessidade de renovação de práticas, paradigmas, meios e conteúdos; que estão abertas às posturas cooperativas e às estratégias para a constituição de um corpo teórico-prático para o ensino do projeto que não se limite ao campo da arquitetura; que reconhecem a importância das novas tecnologias computacionais na concepção projetual e no ensino do projeto, assim como, as tecnologias e estratégias que atualizam as soluções projetuais no uso adequado dos recursos ambientais; que consideram o espaço acadêmico como um lugar propício para as experiências projetuais e pedagógicas; que manifestam um esforço em considerar a participação do usuário, assim como em realizar um processo de apreensão de contextos complexos como objeto de estudo, adotando uma postura de valorização do processo projetual. O trabalho conclui que a educação do arquiteto deve estar atenta aos aspectos relativos à inclusão da realidade sociocultural e ambiental como referência para o fazer arquitetural em detrimento da primazia dada à racionalidade técnica, uma vez que essa realidade permite a mediação, entre o ser e o mundo , como uma estratégia que supera qualquer antecipação programática e viabiliza a transformação e a construção do próprio ser e do mundo . Assim, se o aprender fazendo é necessário para a formação do arquiteto, que esse fazer seja refletido e retroalimente a prática

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The main focus of this thesis is the formation of a mathematical teacher at a college institution. The general aim is to describe and to analyze the formation process of a mathematical teacher which is an undergraduate student in Mathematics at the Instituto de Educação Superior Presidente Kennedy IFESP, in Natal-RN. It is based on a qualitative ethnographic approach, and has its theoretical anchorage in the (auto)biographical narratives, the social representative theories, and the mathematical education. The number of participants in this investigation was 12 undergraduate students, which corresponds to 25% of the total number of students. The corpus utilized in our analysis included 48 (auto)biographical essays, 12 (auto)biographies (formation's memories), and 12 contextualization files, besides the research's diary. The sources were obtained from the whole program of studies, i.e. from November 2003 to December 2006. The analysis revealed that the reminiscences of the 12 students' academic trajectory influenced their professional formation, since their images of a mathematical teacher were intrinsically related to the one they had before. These representations were being either demolished or constructed in a network along the assertive image of their profession, changing afterwards the mathematical representation and the teaching way of this discipline. Our study also shows that the beginning of their teacher career was marked by mechanical practices influenced by their old teachers. The (trans)formation of themselves and their teaching practices happened in a smooth way as soon as they increased their knowledgements in Mathematics, and it reflected upon the way they learned mathematics. The writing of their (auto)biographies helped the set up of new knowledgements, leaving to a self-consciousness as well as a self-formation, and contributed for the construction of a new way to see and to live the profession. Therefore, a mathematical teacher, for the undergraduate students of the IFESP involved in this work, is made at the interface of the familiar, academic, and professional context, besides the reflexive writings about the formation path, the way of life and the relationships among them

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Célestin Freinet was one of the most memorable educators of the twentieth century. He presented some educational alternatives that had the objective of stimulating the construction of pedagogic actions to promote the social development of the student based upon a work centered on the free expression as the way to self-structure the knowledge. With a permanent proposal of research based on the enquiry-based learning, Freinet set human capacity (cognitive, social-affective, psychometrical) taking cooperation in consideration on the processes of knowledge construction. Based on this referential, this present work has the objective to show Freinet s pedagogy in a continuous teaching action from 2nd to 5th grade focusing the teacher s discourse and also the educative practice of the students of a city public school in Natal. The observed work revealed the teacher s discourse and educative experience and delineated the students development while immersed into Freinet s educational practice. By virtue of the nature and specificity of the theme that guided our research, we chose a qualitative approach to it, as a way of conducting ourselves during our investigative process. We observed and analyzed the method that was used to conduct the activities in the classroom, as well as the ways of expression that the children used through drawings, words (oral text), or through writing. We highlight, among the written texts, the individual and collective texts, and also letters and notes, which during some moments served as a base to express a diversity of languages. The results, after a analyzing the research data, point towards a teaching practice that favors the construction of a significant learning process through the grasping of the school environment, on which all these factors are based: society, knowledge acquisition, abilities, attitudes and values. This learning process also strengthens human solidarity bonds and mutual tolerance, on which the student s social life is seated.