51 resultados para Resolução de problemas (Matemática) - Tese

em Universidade Federal do Rio Grande do Norte(UFRN)


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In this work it is presented a research developed in the initial training of teachers of the chemistry graduation course at the Universidade Federal do Rio Grande do Norte (UFRN). The intervention was realized in two classes in the context of a discipline in the curricular structure with nineteen undergraduate students of chemistry. The study utilizes characteristics of the qualitative approach and uses observation, questionnaires, interviews and examination papers. The experiment involved a sequence of activities fundamented on the Problem Solving (PS) teaching strategy to approach chemical concepts. The proposal was planned and organized according to the theoretical presupposition of the work developed by the authors of the Science Education in PS, of teaching experience and from the initial hypotheses of the research. The goal was that the future teachers could experience the strategy and advance to the new meanings. The themes addressed in the activities were the difference between exercises and problems, exercises turning into problems, the steps of problem solving and some implications of the teaching strategy for the work of the teacher. The results showed evidence that through a process of collective reflection, and from the difficulties experienced in the strategy practice, the undergraduates are introduced to new perspectives of reflection and action of teaching practice, and understanding some benefits of innovative proposals for the teaching of chemistry. It also showed that, although this theme is approached, in some moments of the graduation, the future teachers don‟t know when or how to realize activities in this perspective. From the aspects that rose in research we highlighted the difficulties in the problem solving steps, the use of the strategy in school and the knowledge and skills of the teacher for planning activities in Problem Solving

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This work present a interval approach to deal with images with that contain uncertainties, as well, as treating these uncertainties through morphologic operations. Had been presented two intervals models. For the first, is introduced an algebraic space with three values, that was constructed based in the tri-valorada logic of Lukasiewiecz. With this algebraic structure, the theory of the interval binary images, that extends the classic binary model with the inclusion of the uncertainty information, was introduced. The same one can be applied to represent certain binary images with uncertainty in pixels, that it was originated, for example, during the process of the acquisition of the image. The lattice structure of these images, allow the definition of the morphologic operators, where the uncertainties are treated locally. The second model, extend the classic model to the images in gray levels, where the functions that represent these images are mapping in a finite set of interval values. The algebraic structure belong the complete lattices class, what also it allow the definition of the elementary operators of the mathematical morphology, dilation and erosion for this images. Thus, it is established a interval theory applied to the mathematical morphology to deal with problems of uncertainties in images

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In this work we have elaborated a spline-based method of solution of inicial value problems involving ordinary differential equations, with emphasis on linear equations. The method can be seen as an alternative for the traditional solvers such as Runge-Kutta, and avoids root calculations in the linear time invariant case. The method is then applied on a central problem of control theory, namely, the step response problem for linear EDOs with possibly varying coefficients, where root calculations do not apply. We have implemented an efficient algorithm which uses exclusively matrix-vector operations. The working interval (till the settling time) was determined through a calculation of the least stable mode using a modified power method. Several variants of the method have been compared by simulation. For general linear problems with fine grid, the proposed method compares favorably with the Euler method. In the time invariant case, where the alternative is root calculation, we have indications that the proposed method is competitive for equations of sifficiently high order.

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This work started from an investigation concerning the process of education, moralization and disciplining of the poor in the backlands of the Brazilian Northeast region, in the second half of the 19th century, through the incorporation of the values of productive work. In order to do so, we took as our field of investigation the missions of Father José Antônio Pereira Ibiapina (1806-1883), in which an extensive work was developed, including the construction of twenty two (22) charity houses in the States of Rio Grande do Norte, Paraíba, Pernambuco, Ceará e Piauí, but also of weirs, churches, graveyards, hospitals and so forth. Given the socio-historical character of the research, we adopted qualitative methods of analysis and the following procedures: survey and analysis of documents, statute and internal rules that ordered the workings of the charity houses; biographies on Father Ibiapina and the missions‟ reports, as well as various sorts of publications on the missionary. Our study comprises his 27 year-period of missionary-religious activity (1856-1883), and undertakes an analysis on the topic of poverty, since the medieval Christian take on it until modernity, when it stops representing a value and becomes a problem to be solved through work. The socio-political context in which Ibiapina lived in the Northeast was marked by the consequence of droughts and economic crises in the region. The analysis of the documents indicates that, in the circumstances of political weakness and lack of interest for regional demands by the national political agenda, his missionary actions produced strong effects. Starting from an ethics of valorization of work, which combined modern and traditional elements, his actions set up disciplinary, moralizing and civil educational practices of the poor, founding, simultaneously, a pragmatic religious experience directed at the resolution of the problems caused by poverty. In that sense, we observe that such actions are connected to the broader process of moralization and education of the poor, but the analysis also suggests that their inscription into the social order articulated both forward as well as conservative aspects of the established system

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El objetivo en esta tesis consistió en estudiar el proceso de los cambios de los conceptos de profesores de la educación infantil y de los años iníciales de la educación básica referente a la enseñanza de la matemática. La investigación se desenvolvió en la escuela Presidente Kennedy, en la ciudad de Natal, en Rio Grande do Norte, teniendo como participante 05 (cinco) profesores del curso normal superior a través de la educación superior del instituto relacionado. El trabajo asocia el programa a él Programa de Pós-Graduação em Educação da Universidade Federal do Rio Grande do Norte, en la base de pesquisa Formação e Profissionalização Docente coordinada de los doctores Betânia Leite Ramalho e Isauro Beltran Núñez. El referencial teórico-metodológico en quien si apoya el trabajo se inserta en la señal conceptual usada por Giordan y de Vecchi (1996), de Carrillo y Contreras (1994), Ramalho; Núñez y Gauthier (2003), Ponte (1998), Guimarães (1988), Ernest (1989). En esta investigación, los conceptos de los profesores habían sido estudiados en el contexto educativo de la formación del nivel superior, usándola reflexiva crítico práctico como estrategia formativa. Estos conceptos se entienden como estructuras subyacentes al pensamiento del profesor. Dado la naturaleza del objeto del estudio, la información, para las intenciones de esta investigación, habían sido cosechados a través de los instrumentos siguientes: cuestionario, plan de la lección, entrevista diaria y del campo. El cuestionario fue constituido de preguntas abiertas y de las entrevistas de la mitad-structuralized. La organización de los datos permitió a La inferencia de los conceptos, usando la técnica de la triangulación de datos. La investigación divulgó que los conceptos de los profesores, a través del proceso formativo, se habían desarrollado de una plataforma para otra, yéndose puesto que los modelos didácticos tradicionales para otros modelos dirigidos a una tendencia didáctica de espontaneísta/investigativa. La reflexión crítica era considerada como elemento catalítico de los cambios de los conceptos de los profesores en la educación de las matemáticas, sin embargo déjenos verifican que estos cambios son difíciles de ocurrir para la naturaleza compleja de estos conceptos. Como facilitadores de los factores de estos cambios, encontramos y el investigativo el trabajo, la dinámica y la naturaleza de las actividades se convirtió en el colaborativo de proceso formativo, entre otros. Como obstáculos a los cambios, identificamos el contexto del trabajo de los profesores, de la cultura de los individualistas prácticos de sus profesores de los colegas, del concepto linear, estático y de los mecánicos de los procesos para enseñar, el conocimiento profesional construído durante la formación inicial, alineación con los modelos didácticos de sus viejos profesores, entre otros

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This research aims at studying the formation of internal consultants in organizational setting in the joint resolution of problems, around the conversion of knowledge. The objective of research is to understand and explain the meanings attributed by Petrobras internal consultants to their practice and training for the conversion process of tacit knowledge into explicit, around the joint resolution of their problems with their collaborators. It has directed the next question: what the meanings assigned by the consultants of Unidade de Negócios Rio Grande do Norte e Ceara (UN-RNCE) in Knowledge Management (KM), for their interventionist and formative practices in problem solving, as well as conversion of tacit knowledge in explicit? This paper has assumed that there is a dual logic integrated into its daily practices: solving troubles and converting knowledge. The thesis has considered the daily practices of these consultants are characterized as epistemic spaces and permanent education through the conversion of knowledge. It has adopted the principles of multi-referential approach as foundations, regarding the translation of a variety of angles, perspectives and prospects which allow the interpretation and understanding of complex issues that are part of conversion of knowledge. The understanding and explanation of the senses are based on the methodology of the comprehensive interview; taking ownership is the sensitive listening for comprehensive interpretation of oral discourses of ten consultants, in addition to the autoscopy that putting into practice, thus, the stance of the researcher as an intellectual craftsman. Furthermore, it has assessed that the limits and possibilities for training and learning in the conversion of knowledge arise, on one hand from a predominantly driven training culture by the paradigm of technical rationality and one the other hand, from a set of relationship to knowledge and relation to know , revealed in the search for training in other dimensions. There are tensions between the local and global demands located in a situation marked by a systemic organization of knowledge. However, the context is perceived by researchers as impregnated by the discontinuity, unpredictability and uncertainty; mobilizing a number of elements necessary for the mediation in training practices of these consultants. Finally, it has set an instrumental and technological support, restricting the formation and undermining the position of the consultancy as nuclear function in Knowledge Management

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The object of study of this thesis is the use of (self)training workshops as a fundamental process for the constitution of the teaching subject in mathematics education. The central purposes of the study were to describe and analyze a learning process of mathematics teachers supported by the training-research methodology, which procedures have been affected with the practice of (self)training workshops as a way of collaborating to the constitution of the teaching subject in Mathematics Education. The survey was conducted with a group of teachers in the city of Nova Cruz, Rio Grande do Norte through a process of continued education realized in the training workshops having as main goal the realization of the group s (self)training sessions in order to lead participants to the extent of their autonomy in their personal and professional transformations. The results obtained in the formative processes have shown the need to develop activities of mathematics teaching as a contribution to overcome the conceptual difficulties of the teachers, apart from their (self)reflections about themselves and the educational processes in which they belong. The results raised some propositions about (self)training workshops that may be incurred in practices to be included in the curriculum frameworks or materialize as a strategy of pedagogical work in training courses for teachers of mathematics. Also, they can constitute an administrative and educational activity to be instituted in the public schools of Basic Education

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Techniques of optimization known as metaheuristics have achieved success in the resolution of many problems classified as NP-Hard. These methods use non deterministic approaches that reach very good solutions which, however, don t guarantee the determination of the global optimum. Beyond the inherent difficulties related to the complexity that characterizes the optimization problems, the metaheuristics still face the dilemma of xploration/exploitation, which consists of choosing between a greedy search and a wider exploration of the solution space. A way to guide such algorithms during the searching of better solutions is supplying them with more knowledge of the problem through the use of a intelligent agent, able to recognize promising regions and also identify when they should diversify the direction of the search. This way, this work proposes the use of Reinforcement Learning technique - Q-learning Algorithm - as exploration/exploitation strategy for the metaheuristics GRASP (Greedy Randomized Adaptive Search Procedure) and Genetic Algorithm. The GRASP metaheuristic uses Q-learning instead of the traditional greedy-random algorithm in the construction phase. This replacement has the purpose of improving the quality of the initial solutions that are used in the local search phase of the GRASP, and also provides for the metaheuristic an adaptive memory mechanism that allows the reuse of good previous decisions and also avoids the repetition of bad decisions. In the Genetic Algorithm, the Q-learning algorithm was used to generate an initial population of high fitness, and after a determined number of generations, where the rate of diversity of the population is less than a certain limit L, it also was applied to supply one of the parents to be used in the genetic crossover operator. Another significant change in the hybrid genetic algorithm is the proposal of a mutually interactive cooperation process between the genetic operators and the Q-learning algorithm. In this interactive/cooperative process, the Q-learning algorithm receives an additional update in the matrix of Q-values based on the current best solution of the Genetic Algorithm. The computational experiments presented in this thesis compares the results obtained with the implementation of traditional versions of GRASP metaheuristic and Genetic Algorithm, with those obtained using the proposed hybrid methods. Both algorithms had been applied successfully to the symmetrical Traveling Salesman Problem, which was modeled as a Markov decision process

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It is still common among contemporary educational proposals an overemphasis abstraction, to the formalism and symbolism of mathematical knowledge at the expense of the sociocultural aspects of Mathematics. Coming up by questioning some academic mathematical tenets and valuing knowledge developed in different sociocultural contexts within Mathematical Education, the Ethnomatematics is consolidating itself as a research field. Despite its contributions to the educational context, because its philosophical character and the paucity of debates about the subject, the implementation of educational proposals for basic education are scarce. Given this situation, this dissertation comes up with a view to develop an educational intervention in the light of Ethnomathematics in a class of 6th grade of an elementary school from a red ceramic industries workers community, located in a countryside from Russas-CE and from this intervention, to develop a set of pedagogical recommendations aiming basic education teachers. Adopting a perspective of qualitative research, particularly guided by action research, this study used observation, field diary, interviews and activities with students as tools for data collection. It was found that the use of field research as part of teaching and learning favored the placement of students as critical subjects of their own reality . Furthermore, the educational experience culminated in the development of a method of teaching based on a relationship between protocooperational Ethnomatematics and the Resolution of Problems. It is necessary to broaden the debate about the ways in which the Ethnomatematics can contribute to the school context, bringing proposals closer to the reality of basic education teachers in order to help the promotion of an education which values cultural diversity without taking away the students from the access of the academic knowledge

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The cooperative behavior is no longer a dilemma for the theory of evolution, since there are models that explain the evolution of this behavior by means of natural selection at the individual level. However, there have been few studies on the proximal factors that interfere with cooperative behavior. In the study of the influence of cognition on cooperation, many authors have been interested in situations in which individuals decide whether to act cooperatively and select partners with different qualities to cooperate. Of the factors studied, we highlight the need for understanding the apparatus and communication between partners to the occurrence of cooperation. Recently, highlight is the proposal that the ability to cooperate would be greater in species with cooperative breeding system. Thus, the common marmoset (Callithrix jacchus) is a New World monkey which stands as a valuable species for this type of study because it presents cooperative actions in nature, such as sharing food and protection of the community territory. Our experiment investigated whether common marmosets unrelated females (n = 6) were able to cooperate using an electrical and a mechanical apparatus, if this cooperation is a byproduct of individual actions or involve social attention, if it occurs inter-individual variation in the use of devices and formation of roles (producer / scrounger) in dyads. We use the number of rewards obtained by animals (Ratio of Correct Pulls) as indicators of cooperation and glances for partners (Ratio of Correct Glances) as indicators of social attention and communication. The results indicate that the type of apparatus was not a constraint for the occurrence of cooperation between the marmosets, but still has not been verified formation of roles in the dyads. The performance of animals in the two devices showed a large variation in the learning time, not having relationship with the performance in the tests phase. In both devices the level of social glances at control phases were casually correlated with any other phase, but the data showed that there was not social attention, that is, the monkeys realized that they gave food to the partners, but the partners did

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The present thesis evaluated the contributions and limitations of the tutorship program introduced in EMATER-RN, as a tactic of organizational socialization for civil servants in probationary stage. Tutorship was understood as an intensive and continuous relational process, in which a more experienced person in the organization the tutor offers psychosocial support, stimulates the development of the professional career and enables to the newcomer the tutee learning on job performance. The organizational socialization was considered in the perspective of the symbolic interactionism. The study was characterized as a program evaluation and as an action research. The practical interventions for the program implementation were conducted and, at the same time, the evaluations of process, results and reaction to the program were applied. Among the major contributions of the action research, it stood out: the diagnosis of reasons for the formation of the pair and of expectations of tutors and tutees, the improvement of the tutorship registration tools, the ascertainment of the success of the program in the socialization of the new civil servants, the confirmation of the importance of the compatibility among them and of the adequate performance of tutorship functions for achieving its benefits. Based in constraints of the program, one may quote as essential recommendations: the formation of a technical team supporting the program, the clear establishment of deadlines for each procedure and the reinforcement to its compliance, the investigation of the functions performed by the tutor, the sensitization of the managers to the resolution of problems that affect the program, the voluntary participation of the tutor and the continuous meetings of tutors and tutees. One settles for the relevance of the program and in favor of its continuation, provided that its improvement and systematic management are conducted.

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This thesis proposes an architecture of a new multiagent system framework for hybridization of metaheuristics inspired on the general Particle Swarm Optimization framework (PSO). The main contribution is to propose an effective approach to solve hard combinatory optimization problems. The choice of PSO as inspiration was given because it is inherently multiagent, allowing explore the features of multiagent systems, such as learning and cooperation techniques. In the proposed architecture, particles are autonomous agents with memory and methods for learning and making decisions, using search strategies to move in the solution space. The concepts of position and velocity originally defined in PSO are redefined for this approach. The proposed architecture was applied to the Traveling Salesman Problem and to the Quadratic Assignment Problem, and computational experiments were performed for testing its effectiveness. The experimental results were promising, with satisfactory performance, whereas the potential of the proposed architecture has not been fully explored. For further researches, the proposed approach will be also applied to multiobjective combinatorial optimization problems, which are closer to real-world problems. In the context of applied research, we intend to work with both students at the undergraduate level and a technical level in the implementation of the proposed architecture in real-world problems

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A matemática intervalar é uma teoria matemática originada na década de 60 com o objetivo de responder questões de exatidão e eficiência que surgem na prática da computação científica e na resolução de problemas numéricos. As abordagens clássicas para teoria da computabilidade tratam com problemas discretos (por exemplo, sobre os números naturais, números inteiros, strings sobre um alfabeto finito, grafos, etc.). No entanto, campos da matemática pura e aplicada tratam com problemas envolvendo números reais e números complexos. Isto acontece, por exemplo, em análise numérica, sistemas dinâmicos, geometria computacional e teoria da otimização. Assim, uma abordagem computacional para problemas contínuos é desejável, ou ainda necessária, para tratar formalmente com computações analógicas e computações científicas em geral. Na literatura existem diferentes abordagens para a computabilidade nos números reais, mas, uma importante diferença entre estas abordagens está na maneira como é representado o número real. Existem basicamente duas linhas de estudo da computabilidade no contínuo. Na primeira delas uma aproximação da saída com precisão arbitrária é computada a partir de uma aproximação razoável da entrada [Bra95]. A outra linha de pesquisa para computabilidade real foi desenvolvida por Blum, Shub e Smale [BSS89]. Nesta aproximação, as chamadas máquinas BSS, um número real é visto como uma entidade acabada e as funções computáveis são geradas a partir de uma classe de funções básicas (numa maneira similar às funções parciais recursivas). Nesta dissertação estudaremos o modelo BSS, usado para se caracterizar uma teoria da computabilidade sobre os números reais e estenderemos este para se modelar a computabilidade no espaço dos intervalos reais. Assim, aqui veremos uma aproximação para computabilidade intervalar epistemologicamente diferente da estudada por Bedregal e Acióly [Bed96, BA97a, BA97b], na qual um intervalo real é visto como o limite de intervalos racionais, e a computabilidade de uma função intervalar real depende da computabilidade de uma função sobre os intervalos racionais

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

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This thesis was elaborated in the scenario of Digital Metropolis Institute (IMD) – a supplementary unit at the Federal University of Rio Grande do Norte in the training of personnel with technical and higher level courses whose technical level training is associated with a process of digital inclusion, with the purpose of attracting young people to this area, with emphasis on Software and Hardware Development. It aims to investigate the cognitive change of young apprentice on technological education and his/her entrance into the labor market, through the formation and the social inclusion proposed by the Instituto Metrópole Digital; understanding the juvenile subjectivity production through the Instituto Metrópole Digital’s education by performance in the labor market; recognizing the Brazilian professional qualification public policies for youth and identifying the role of Tutoring in the learning process during the course of formation of the young apprentice of the technological education proposed by the Instituto Metrópole Digital.The clipping of the object of investigation was the process of cognitive change and constitution of subjectivity of the young apprentice in information technology (IT) in the IMD. It was searched support in theory Freireana as proposal that problematizes the policies and the process of formation and professional qualification, in the perspective of a citizen and liberating consciousness. By qualitative and ethnographic nature, descriptive-explanatory, it counts with the participation of young people, high school students from public and private schools, aged between 15 and 18 years. There are strong aspects: a cognitive change on the young apprentice of technological education onto overdrive high school as the student of the Instituto Metrópole Digital; it happened the social integration for those who remain in the course, both in the neighborhood where they reside and at school where he attended high school, the young man is recognized and becomes reference to other young, favoring him a life projection which when the activities of mentoring is learning motivator, it exerts a positive influence to the young on the continuity of studies, it provides intellectual and institutional affiliation and continuity in the investments to the academic life for a better insertion in the labor market, which refers to the modification of the life project-invest in academic training, in exchange for a technical job in the labor market. There are weak aspects: the absence of professor in the course, in his most important role, which involves awareness of his/her condition in action, in explicit position that the professional practice constitutes as this constitution requires reciprocity of its students and the context in which it operates; fragile formation of mentoring, absence of dialogues in the classroom that favors the formation of subject learning, mainly in guiding action, mediator of the young; There is a lack of methodological proposal to develop real projects on the labor market with problem solving and collaborative learning. It considers that without converting information into knowledge cannot discern clearly enough that there is no direct causal relationship between Professional and technological Education and the level of employability of the young worker certificate. It suggests to the evasion: a greater knowledge of the reality of the student of the Institute Metropolis Digital; better knowledge of youth and their expectations of life project; the Tutoring will be Teacher-tutor; investing in employability conditions effective the young into the labor market.