Uma análise fenomenológica do uso de jogos e materiais manipulativos no ensino de matemática

This work investigates the reasons that take teachers to use or not use manipulative materials in mathematics education as well as the knowledge that teachers of Basic Education schools of the city of Guaratingueta have about such resources. The experience in the classroom, while participating in projects, showed that these resources are important allies in knowledge production. However, we noticed that they are not often present in the teachers teaching practice. This leads us to investigate the relevance of such education resources from authors like Grando (2000) and Macedo (2012) and try to see the idea that math teachers have about their use. For this research we developed a questionnaire and we headed teachers to obtain data. Assuming a posture qualitative with phenomenological approach, organized researched data and interpreted following the procedures described by Bicudo (2011) and Machado (1994). We built three categories or regions of generality that lead us to consider that, for our research subjects, the use of manipulative materials is significant as Didactic Resources and Learning Aid, however, used from a Naïve Knowledge that does not involve reflection on practice or relies on theoretical concepts

Modelo de Lotka-Volterra com inclusão de termos perturbativos e capacitivos

Our purpose is to show the effects in the predator-prey trajectories due to parameter temporal perturbations and/or inclusion of capacitive terms in the Lotka Volterra Model. An introduction to the Lotka Volterra Model (chapter 2) required a brief review of nonlinear differential equations and stability analysis (chapter 1) , for a better understanding of our work. In the following chapters we display in sequence our results and discussion for the randomic pertubation case (chapter 3); periodic perturbation (chapter 4) and inclusion of capacitive terms (chapter 5). Finally (chapter 6) we synthesize our result

O jogo de xadrez e a aprendizagem matemática: uma análise de possibilidades

The idea of this research is to analyze the possibilities of using chess as a nice alternative for motivating and teaching mathematics. The study was carried out in three steps, consisting of a literature review about the importance of games for education, followed by the importance that the game of chess has on the student's cognitive development and, finally, a qualitative analysis of data obtained by recording it. The data were taken from some activities performed in the 6th grade class of elementary education at a public school in the city of Roseira, state of São Paulo, in a team at the age 9 and 12 year-old students. The result of this research proved to be significant the use of chess game to teach math, we were able to verify that there was an easy assimilation of the subject, because when a student plays, he/she willdevelop skills in the game which becomes an incentive to study even more

Efeitos de campos elétrico e magnético em um sistema dissipativo pulsante

The main idea of this work is to understand and analyze the dynamical aspects of the motion of a particle moving in the annular billiard, which corresponds to two circles of radius R and r (r

Laboratório de Ensino de Matemática: uma extensão da sala de aula

This work has as purpose to present some boardings that assist in the process of mathematics teach-learning. We detach the Laboratory of Education of Matemática (LEM) and its main components. On the basis of the National Curricular Parameters, we display four activities that had been developed and applied in a Municipal School of the Public Net of Education in the city of Roseira. In the activities the mental arithmetic is developed, to study the elementary operations and concepts of horizontal segment and vertical segment. The results show that, with the development of the activities, as much the researcher as the teacher and its pupils had been more interested in arguing, teaching and to learn mathematics

Instrumentação eletrônica para experimentação do modelo Bouncer Ball dissipativo

In our experiments, we studied the classical dynamic of a particle in vertical motion subject to a constant gravitational field and the partial shock with an elastic wall with oscillatory motion located below the particle. The motion of the particle was confined to the vertical direction by a glass guide tube, which was initially evacuated, allowing viscous drag forces to be disregarded. The time between impacts, as well as the time between the reference phase of the movement of the base and the moment of impact and the period of oscillation of the base will be acquired by a hardware and software to obtain the phases space to be compared later with the description of the system through mapping discrete variables via the 'particle velocity immediately after shock 'and' phase of the movement of the base at the instant of shock 'obtained by computer simulation. This requires developing an electronic analog system followed by Digital implemented in reconfigurable logic, more specifically a sequential machine able to discriminate the impact with the metal base from the impacts of the glass guide tube, based on the frequency spectrum of the response of the microphone to these different impacts

Estudo da tecnologia de acesso Wi-Fie suas aplicações em ambientes indoor e outdoor

Wireless communications is a feature that has become indispensable for many people in the whole world. Through this feature, communication process can become much more efficient, allowing people to access information much more quickly wherever they are. The constant evolution of communication technologies allows the development of new unthinkable applications and services. This new range of possibilities brings greater mobility and efficiency for final users and also helps service providers and carriers to improve the quality of services offered by them. This study presents the principles of wireless communication and the Wi-Fi technology as well as its most modern applications, covering from the basics of computer networks to the procedures of planning a wireless network, concepts of radio frequency, antennas, patterns, regulatory agencies, network equipment, protocols and network monitoring

Uma discussão sobre o ensino da estatística para os estudantes de graduação na França, no Brasil, e nos Estados Unidos

Today statistics are one of the most important bases of the engineer formation. Statistics are used indirectly every day for engineers in a large panel of sectors like construction, mechanical engineering, biological engineering, electrical engineering, computer science etc. The main goal of this report is to compare different ways the engineers of tomorrow are formed in order to show which engineering is the best practice. The comparison will be done on different universities in France, Brazil and the US on Mechanical, Civil, Electrical and Production branches. We will compare the amount of courses required, the degree of knowledge needed and the mains subjects

Resolução de problema de valor no contorno associado ao projeto de reatores de fluxo disperso empregados no tratamento de efluentes

The objective of this work was to develop a numerical method to solve boundary value problems concerning to the use of dispersion model for describing the hydraulic behavior of chemical or biological reactors employed in the wastewater treatment. The numerical method was implemented in FORTRAN language generating a computational program which was applied to solve cases involving reaction kinetics of both integer and fractional orders. The developed method was able to solve the proposed problems evidencing to be a useful tool that provides more accurate design of wastewater treatment reactors

Matemática comercial e financeira com a utilização de recursos digitais: uma experiência no ensino médio

This work aimed to investigate the possible contributions of the use of digital resources in the teaching and learning process of Commercial and Financial Mathematics concepts to high school students. Its development has included a survey of some researches on the topic as well as an experimental study of a qualitative type, in which the Webquest was used as methodology. It uses the computer, more precisely the internet resources, to assist students in building up knowledge. Eight meetings were held, in the after-school period, with a group of students of the second year of high school at a state public school in the city of Guaratinguetá. Aiming to evaluate the knowledge that students had about the theme, it was applied a diagnosis at first glance for further analysis and development of activities and interventions according to the students’ answers. Once the research data was analyzed, it was noted that the students had little knowledge regarding the basic contents of Commercial and Financial Mathematics, in addition to presenting difficulties in handling some of the digital resources used in the meetings. Nonetheless, from the students’ works, it was seen significant advances in understanding and building up knowledge on concepts such as percentage, simple and compound interest, savings, and sales involving prompt payment or in arrears

Formas diferenciais

In this work, studies aimed at evaluating the unification of concepts and theorems of vector analysis that contributed to the understanding of physical problems in a more comprehensive and more concise than using vector calculus. We study the electrodinamics with differential forms. Were also presented Maxwell's relations with formalism of differential forms in addition allowing formulation one more geometric and generalized. Another feature observed during the study of formalism presented was the possibility of it serving as a substitute to the tensor formalism

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

Cálculo fracionário aplicado ao movimento browniano

This work aims to study several diffusive regimes, especially Brownian motion. We deal with problems involving anomalous diffusion using the method of fractional derivatives and fractional integrals. We introduce concepts of fractional calculus and apply it to the generalized Langevin equation. Through the fractional Laplace transform we calculate the values of diffusion coefficients for two super diffusive cases, verifying the validity of the method

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

Chuva, vulnerabilidade social e percepção do risco na cidade de São Paulo: impactos de eventos extremos nos bairros da Freguesia do Ó e do M’Boi Mirim

The city of São Paulo has, since the beginning of the expansion of its urban sprawl, represented relations of conflicts and contradictions between society and nature. Once the way society relates to nature is defined by how the social agents themselves correlate in certain social and historical contexts, the ways of interaction between the social and natural elements will be different according to the forms of production and appropriation of the urban space. Even more evident is the case of the great national metropolis, given its demographic dimensions and historical conditions, the process of urban expansion follows a logic where spaces of better quality for housing are occupied by those of better financial conditions. Thus, although there are exceptions, the poorest people live in places less desirable, in less resilient environments of lower environmental quality, relating to nature and its phenomena with greater risks. These risks are reflected here as recurring flooding, mudslides and landslides for which the rain is constantly blamed. So we have a situation where it is clear that a weather phenomenon differently interacts with different social groups. In this context, the study was conducted to compare extreme events occurred in two regions of São Paulo: the Freguesia do O, in the north side, and M'Boi Mirim, in the south side. Both are regions with large number of risk areas and are in the same urban climate unit. However, they present different conditions of social vulnerability. With the investigation of each extreme rain event occurred in the two regions, in the period of 2000-2010, supplemented by field research, we tried to observe how far the rain, with his intensity and volume, can, in fact, be related to the accidents.