Modelagem matemática e simulação computacional de derrames de óleo em corpos d'água: um estudo de caso na região do Porto de Santos

The objective of this work is to accomplish studies of mathematical modeling and computational simulation of oil spills in water bodies. For this reason, a case study in the region of the Port of Santos was developed using the softwares SisBAHIA and ADIOS2 for the simulation of different hypothetical scenarios of oil spilling on the surface of water, aiming to obtain information that contribute to the reduction of the possible environmental impacts that can be caused by such accidents. The results generated in the different simulations had shown that the obtained data can be extremely useful to subsidize the elaboration of mitigation plans, the mapping of risk areas or even the proposal of emergencial strategies in cases of real accidents, configuring the modeling and the simulation as important and modern tools for the environmental planning and management.

Um estudo sobre a resolução de problemas e suas relações com a afetividade

This research aims at examining the relationship between the performance of elementary school students Cycle I in problem solving and attitudes toward mathematics. For this, a research was conducted at a state school in the city of Bauru which was selected for convenience. Participants were randomly selected consisting of 75 students, of whom 21 were third years and 57 were of three classes of fifth year. The instruments used for data collection were: a informative questionnaire to characterize the students in age, grade, favorite subjects and the least liked, among others, an attitude scale, Likert type, to examine the attitudes toward mathematics; a interviews with 11 selected students according to scores on the attitudes and mathematical problems to be solved through the method of thinking aloud. The results showed that the major difficulties encountered by students in solving problems were: to understand the problems, formalizing the reasoning, recognize in the problem the algorithms needed for its resolution, make calculations with decimal numbers, do combinatorics, using the sum of equal portions instead of multiplying, self-confidence and autonomy in what he was doing, and others; participants with positive attitudes towards mathematics showed greater confidence to solve problems as well as a greater understanding on what was required by them, but were not detected significant relation between the attitudes and performance, since it was unfavorable

Reanálise das defasagens de Prometeu e Pandora

In the present work it is proposed to do a revision on some studies on the dynamics of the Prometheus-Pandora system. In special, those studies that deal with anomalous behaviours observed on its components, identi ed as angular lags in these satellite`s orbits. Initially, it is presented a general description, contextualising the main characteristics of this system. The main publications related to this subject are analised and commented, in chronological order, showing the advances made in the knowledge of such dynamics. An analysis of the initial conditions, used by Goldreich e Rappaport (2003a ,b) e Cruz (2004), obtained through observations made by the Voyager 1 and 2 spacecrafts and by the Hubble space telescope, it is made in order to try to reproduce their results. However, no clear conclusion of the values used were found. The tests addopted in the analysis are from Cruz (2004), which reproduced the results and o ered a new explanation on the origin of the observed angular lags. The addopetd methodology involves the numerical integration of the equations of motion of the system, including the zonal harmonics J2, J4 and J6 of Saturn's gravitational potential. A fundamental consideration in this study is the use of geometric elements instead of osculating elements. It was found the set of initial data that best reproduces the results from Goldreich e Rappaport (2003a, b) and Cruz (2004)

Análise da estabilidade do movimento rotacional de satélites artificiais com quatérnions e sob a influência de torques externos

The aim of this work is to analyze the stability of the rotational motion’s artificial satellite using the Routh Hurwitz Algorithm (CRH) and the quaternions to describe the satellite’s attitude. This algorithm allows the investigation of the stability of the motion using the coefficients of the characteristic equation associated with the equation of the rotational motion in the linear form. The equations of the rotational motion are given by the four cinematic equations for the quaternion and the three equations of Euler for the spin velocity’s components. In the Euler equations are included the components of the gravity gradient torque (TGG) and the solar radiation torque (TRS). The TGG is generated by the difference of the Earth gravity force direction and intensity actuating on each satellite mass element and it depends on the mass distribution and the form of the satellite. The TRS is created by changing of the linear momentum, which happens due to the interactions of solar photons with the satellite surface. The equilibrium points are gotten by the equation of rotational motion and the CRH is applied in the linear form of these equations. Simulations are developed for small and medium satellites, but the gotten equilibrium points are not stable by CRH. However, when some of the eigenvalues of the characteristic equation are analyzed, it is found some equilibrium points which can be pointed out as stables for an interval of the time, due to small magnitude of the real part of these eigenvalue

O uso do material manipulativo Tangram e de jogos como estratégias de motivação para a aprendizagem de frações

In this research, we analyzed the use of manipulative materials and games as motivators tools that facilitate the comprehension of fractions content when presented to a class of students from the 9th grade from a public school in Guaratinguetá-SP city. The students are 14 and 17 years old. Initially we presented the benefits that could bring manipulative materials for teaching and learning with understanding, followed by historical accounts of the Tangram material. We show the advantages of the games, when properly used in activities classroom. The game titled Dominoes fractions using the Tangram was applied in order to check if students retook properly the fractions contents. This research was motivated students to participate in math classes and this motivation may have promoted the understanding of the contents worked

Reflexões e observações sobre as novas diretrizes curriculares e a sua influência na formação inicial do professor na universidade

With reference to curricular changes proposed by the CNE Resolution 1 /2002 and CNE 2/2002 on Teacher Education in Basic Education teaching degree - this study aims to analyze the new professional profile proposed in curriculum pedagogy , Physical Education , Science Biology , Mathematics , Physics and Geography . Within the curriculum guidelines was observed in a more normative articulated curriculum, focused on action-reflection- action. A guided design in practical rationality and the skills set without breaking the commitment of the public university with emancipation and quality education . Although there is this understanding we must also attend to the care that must be given to the new guidelines , based on the same reveal great concern with vocational training , with its instrumentation , with the pragmatic and utilitarian dimension of the training process . It is noteworthy that throughout the twentieth century in Brazil , where he fought for educational policies that were to solidify the construction of teacher identity , but the gains have largely remained restricted to the issue of educational reforms and a roster of disciplines , called pedagogical varnish . Therefore, this work is to deepen this thematic perspective , studying the identity of the teacher in the new curriculum design presented by undergraduate courses . Therefore , the central objective seeks to understand how the identity of teacher ( professional profile ) was presented in the proposals for teacher training , as well as the different elements that make up this identity process . Specifically if you want to ( a) identify the proposals of courses for Teachers of Primary Education , UNESP / RC - Institute of Biosciences and Geosciences and Exact Sciences - Biological Sciences , Physical Education , Physics , Geography , Mathematics and Pedagogy - the proposed profile and ( b ) analyze the fundamental knowledge that this professional listing the elements...

A importância do planejamento financeiro: uma abordagem de matematica financeira para o ensino médio com o uso do excell

The financial health of a family is one of the main generators of quality of life, and this is only possible through financial planning, which is nothing more than save and analyze before contracting debts. To do this, students must have notion of financial mathematics, especially of that used by the banks on overdraft interest, in investments and in the short-term and longterm loans, that is, compound interest, equivalent rates, depreciation and others. Starting from the knowledge of arithmetic and geometric progressions and, based on real situations which allow the application of the content learned, one intends to develop activities applied to high education. To start from real situations is one of the main lines of thought of the Problem Solving Methodology, in which the student is the active agent in the construction of his or her knowledge. As the National Curricular Parameters point out, the practice in the use of computers is essential for gaining a job. Therefore, this project proposes an activity where knowledge of Financial Mathematics can to be practiced, associated with the use of Microsoft Excel® spreadsheet

Tema transversal saúde na escola: diagnóstico e possibilidades

Introdução: A sociedade brasileira tem sofrido grandes transformações nessas últimas décadas e o papel da escola e sua importância também. Com a queda da Ditadura Militar, que vigorou de 1964 até 1985 e com a promulgação da Constituição da República em 1988, que teve como um dos objetivos principais a inclusão social, entre outras iniciativas no âmbito das políticas educacionais, foi dado início à elaboração dos Parâmetros Curriculares Nacionais, cuja primeira publicação se deu em 1997. Assim, além das disciplinas tradicionais como: Língua Portuguesa, Matemática, História, Ciências Naturais, Geografia, Artes e Educação Física, a escola também deveria trabalhar os chamados Temas Transversais: Meio ambiente, Ética, Pluralidade Cultural, Saúde, Orientação Sexual e Trabalho e Consumo, temas esses, que devem permear toda a prática educativa. Como será que as escolas vêm desenvolvendo a proposta de Temas Transversais? Será que a saúde é uma preocupação? Se a resposta for afirmativa, de que modo ela vem sendo conduzida? Objetivo: Baseado nos Parâmetros Curriculares Nacionais, este trabalho pretendeu avaliar a importância do tema transversal Saúde, bem como investigar os impactos desse documento na educação escolar do ensino fundamental. Metodologia: Para tanto, serão realizadas pesquisas bibliográficas e também documentais da escola, como o projeto político pedagógico e os livros didáticos utilizados. Conclusões: As conclusões elencadas neste trabalho são que o tema transversal Saúde é pouco trabalhado no ensino fundamental, devido, entre outros fatores, ao despreparo do professor e a concepção equivocada que ainda há nos educadores relacionando saúde às doenças e à higiene unicamente

O ensino da lógica na educação básica

This work has as its aims to offer a general view on the teaching of logics in the basic education by means of different materials on the theme. There are highlighted considerations on academic works in the area of math education that claims the teaching of logics on basic education as a means of developing the reason and promote the learning. It is done a bibliographic review on works that approach the theory of formal logics that presents different ways of working the teaching of logics. The curricular proposition of São Paulo State for the Math area is analyzed and its characteristics are discussed. The learning evaluation in a large federal scale for the teaching of middle and basic education are detailed in its matrix of references and content approached in its editions searching the evidences of a logical reasoning worth. A portal M3 Multimedia math is presented in activities in video format for the teaching of logics. After an analyze of the references where the focus was related to the learning of Math by means of an approaching where logics acts as a tool. It is possible to consider that there is a relevant number of researches and publishing in the area of Math education that approaches the concepts of formal logics. There is also evidences of a changing in National and State orientations for a basic education that reflects in its didactics resources and evaluations in a large scale. Even though, we can face difficulties on implementation of these proposes that is pointed out by constant critics by teachers concerning the changes in the resources and cited evaluations by the resistance of a considerable percentage of teachers to adopt the didactics materials distributed by the State and by the low performance of students in Public Schools in tests of learning

A física no 1º ciclo do ensino fundamental: uma abordagem construtivista

Todos nós sabemos o quanto é importante uma base de conhecimentos sólida, para que, posteriormente, quando forem ensinados os novos conceitos, os alunos possam fazer relações com o conhecimento que já possuem, com maior facilidade. Verificamos no Ensino Médio a grande dificuldade dos alunos têm para o aprendizado de Física, além da idéia pré-concebida que eles possuem de que é uma disciplina de difícil compreensão. Porém, essas dificuldades, em sua grande parte são advindas da compreensão dos textos de e do desenvolvimento de cálculos, ou seja, essas dificuldades provêm das disciplinas de Língua Portuguesa e de Matemática. Com base na situação descrita acima, o presente trabalho tem o objetivo de buscar alternativas para este problema, trabalhando desde a base destes conhecimentos, através de atividades desenvolvidas com o primeiro ciclo do Ensino Fundamental. Dessa maneira, levamos para escola pública de um bairro periférico de Presidente Prudente, mais especificamente, para a 3ª série do ensino fundamental, uma atividade com conceitos de Física para desenvolver com as crianças, estimulando o raciocínio das mesmas e a incentivando a busca por soluções para situações-problemas, utilizando-se para isso das idéias propostas pelo Construtivismo, fundamentadas na epistemologia de Piaget. Este trabalho sempre visou a valorização do conhecimento prévio desses alunos e estabelecendo relações com o seu cotidiano

O processo de construção do conhecimento de medida numa abordagem fenomenológica

This research presents an investigation on the subject: Quantities and Measurements. The research is dedicated to this subject due to its importance in the school curriculum, and adopts the use of history of mathematics and investigative duties in a manner that will enable the production of knowledge by the student. Following a phenomenological orientation, we conducted field work in a public school in Guaratinguetá, with students from the 6 th grade. The analyze of data of the research, undertaken in accordance with the understanding of the texts FINI (1994), MACHADO (1994), BICUDO (1993, 2000, 2011), understanding how students construct knowledge measures. The data from field work were obtained from images recorded on video, the researcher's field diary and notes of the students. The descriptions of the data, transformed into text, had been detached the strechs most revealing for what it searchs to understand. The understood meaning through the analysis, indicates two categories: measure is to express values and measure is to compare quantities. When interpreting the open categories we understand that the student builds knowledge of measurement making comparisons

A voz inicial dos professores sobre o processo de inclusão escolar num curso de formação continuada em EAD

The inclusive classroom, focused on individual differences, it is becoming more frequent and constant within mainstream schools. For this practice to be successful, there must be a different work by teachers, methodology, teaching procedures, adapted equipment and materials. Thus, the teacher who works directly with students with disabilities, find factors that facilitate and hinder this practice, making it essential to study of such factors, so we can understand and contribute to assessment and implementation of strategies to minimize the need that this pedagogical practice imposes. This varying needs, from the simple as using different materials to work in the classroom to the broader and more complex, as the reform in schools. Thus, these aimed to survey and analyze the conceptions of teachers on facilitating and hindering aspects of the schooling of students with disabilities in the regular classroom as well as check their training needs. The method used was ruled a quantitative approach to data collection was through a closed questionnaire containing 35 questions with Likert scale. The study included 904 teachers who underwent a course of Improvement in Inclusive Educational Practices, the same was applied when students entered the course, but had not had contact with the course content. The result showed that most teachers agree that all students with disabilities have behavior problem, dividing the assertion that the disabled student disrupts the class of the colleague who has a disability. It is also believed that in the view of most participants, students with disabilities are not able to study and that the inclusion of students with disabilities is hampered by...

Mulheres na licenciatura em física: uma permanência limitada

Apresentamos os resultados de uma pesquisa que procurou compreender os fatores responsáveis pela desistência e permanência de um conjunto de estudantes mulheres em um curso de formação de professoras e professores de Física. Para tanto, identificamos as estudantes (desistentes, concluintes e regularmente matriculadas), contatamos elas por meio de uma rede social e por e-mails e, solicitamos que respondessem um questionário. As informações obtidas foram analisadas mediante a Análise de Discurso, na vertente de Michel Pêcheux. A análise apontou diferentes fatores para a desistência e permanência das estudantes, bem como imaginários sobre questões de gênero. As sequências discursivas apontaram um imaginário no qual os docentes do curso são porta- vozes de um ideário histórico patriarcado, que pode repercutir no rendimento, na baixo estima e na desistência do curso.

Analisando a possibilidade de um anel ao redor de um satélite

On November 26 th, 2005, Rhea, one of Saturn's moons, is found by Cassini spacecraft approximately at 5.105 km from Saturn. Observations in situ reveal that electrons are depleted in the moon's vicinity. However, Rhea is considered massive enough to retain a thin atmosphere. Assumption was that the atmosphere of Rhea was not composed exclusively of gas, its likely contains solid material that can absorb magnetospheric particles. According to Jones et al. (2008), these particles were in a speci c position so that at the moment of observation the electrons could not be detected. In opposition to this idea there is a group, Tiscareno et al. 2010, Cornell University Library, that underwent intensive search for any material that might be orbiting Rhea using Cassini images, however the could not identify any. Second recommendation made by American researchers and other countries, and accepted by the National Board of Research the Cassini Equinox Mission will continue in orbit around Saturn until 2016.The probe will perform several maneuvers with high inclination to delve into the main ring system, and then enter in Saturn's atmosphere and collide with planet. This research is of great importance because until today no rings were found orbiting satellites. The goal of this work is to analyze the orbital evolution of a set of particles around Rhea disturbance of Saturn, J2 e J4 and check results by the numerical simulations and the possibility of a stable ring orbiting Rhea.

Atividades investigativas no ensino da matemática financeira: as estratégias empregadas com uso de planilhas eletrônicas

Pós-graduação em Educação Matemática - IGCE