Quando as professoras se encontram para estudar matemática: saberes em movimento

This text results of a research in an Education Doctorate about teachers, professional background, formation, teaching knowledge and abilities. In this text, it s described the history of a study group in mathematics education composed by teachers who teach mathematics in the 2nd cycle of Ensino Fundamental (5th year of schooling), all belonging to the same school of the municipal public schools network. It presents the trajectory of the collaborative group, in all particularities, singularities, and the constant search to become collaborative. This trajectory was marked by the stories of it s participants in the ceaseless path to constitute teachers, by the sharing of knowledge, by the process of collaboration, by the thinking about the teaching practice, and by the personal and professional improvement of the teachers that form the group. The interpretative and qualitative research had as its investigation field the study group. The data supplied by the collect instruments indicate us that the collaboration between the teachers, the access to specific knowledge of mathematics area, the reflections about the teaching practice in a given context, are paths that lead to and make possible the re-elaboration of the teaching skills by teachers that teach mathematics to the first years

Yes, nós temos arquitetura moderna! Reconstituição e análise da arquitetura residencial moderna em Natal das décadas de 50 e 60

Brazilian architecture was recognized because of the consecration of the icons of the Carioca and Paulista schools which are represented nationally and internationally by names like Niemeyer, Lucio Costa and Vilanova Artigas, among others. Because of this, classic studies dedicated to the Brazilian case look to present the Southeastern region with the title of father of modern Brazil, at the cost of subjugating various other modern movements and peripheral sayings, whether their values are known or forgotten. On the other hand, there has been an effort, in the sense of registering and analyzing these regional productions of modern Brazilian architecture, an assignment that DOCOMOMO Brasil participates firmly through initiatives like the creation of a Library to aid in the documentation and registration of modernity in Brazil. Inside this context of insertions of the National-Modern scheme, this work has as its objective to present modern potiguar (northern Brazil) architecture through its contemporary residential examples, investigating specifically its constructive, formal aspects, that together that together demonstrate one more architectural emphasis of modern Brazilian architecture: the potiguar. This way, by contributing to the work of the register and the documentation of the Modern Movement and attributing to the modern architecture of Natal it s real worth, we can say: Yes, we have modern architecture

Arquitetura residencial em João Pessoa-PB a experiência moderna nos anos 1970

In the mid-1980s, the magazine Projeto published the Actual Brazilian Architecture catalogue presenting texts by Hugo Segawa and Ruth Verde Zein with a corpus of works and engaged architects of the 1960s and 1970s. To comprehend the Brazilian architectural production post-1964, in those years of the 1980s, became a significant mission to reactivate the Brazilian architectural debate weakened by the military dictatorship. In his doctoral thesis Spadoni (2003) deals with the different ways which characterizes the Brazilian architectural production of the 1970s. Marked by inventiveness, this production was in tune with the modern thinking and in the transition period between the 1970s and the 1980s it synchronized with the international debate about post-modern architecture. Considering Spadoni s doctoral thesis, this work deals with the modern experience observed in the one-family-houses built in the seventies in João Pessoa. Some modern experiences were not clear outside, to observe it, it was necessary to search for the type of experience into the spatial disposition and of the know-how constructive, because into the appearance some houses not make explicit the use of the modern language. Other observed experiences allude to the repertoire of the Brazilian period in the years 1940s-1960s, to the experience of the modern architecture in São Paulo of the 1960s, to the experiences in which the climate of the Northeastern region strongly influenced the architectural conception. We can also find in a reduced number of houses a particular experience: it refers to experiences that expose the constructive doing, which leave the material apparent and apply to the residential type the experience of the industrial pre-fabricated buildings

Uma reavaliação do pensamento lógico de George Boole à luz da história da matemática

The aim of the present study is to reevaluate the logical thought of the English mathematician George Boole (1815 - 1864). Thus, our research centers on the mathematical analysis of logic in the context of the history of mathematics. In order to do so, we present various biographical considerations about Boole in the light of events that happened in the 19th century and their consequences for mathematical production. We briefly describe Boole's innovations in the areas of differential equations and invariant theory and undertake an analysis of Boole's logic, especially as formulated in the book The Mathematical Analysis of Logic, comparing it not only with the traditional Aristotelian logic, but also with modern symbolic logic. We conclude that Boole, as he intended, expanded logic both in terms of its content and also in terms of its methods and formal elaboration. We further conclude that his purpose was the mathematical modeling of deductive reasoning, which led him to present an innovative formalism for logic and, because the different ways it can be interpreted, a new conception of mathematics

Ondaletas e movimento browniano fracionário: aplicação à caracterização de poços de petróleo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Modelagem Matemática e Computacional de fenômenos eletrocinéticos em meios porosos carregados eletricamente

In this work we present a mathematical and computational modeling of electrokinetic phenomena in electrically charged porous medium. We consider the porous medium composed of three different scales (nanoscopic, microscopic and macroscopic). On the microscopic scale the domain is composed by a porous matrix and a solid phase. The pores are filled with an aqueous phase consisting of ionic solutes fully diluted, and the solid matrix consists of electrically charged particles. Initially we present the mathematical model that governs the electrical double layer in order to quantify the electric potential, electric charge density, ion adsorption and chemical adsorption in nanoscopic scale. Then, we derive the microscopic model, where the adsorption of ions due to the electric double layer and the reactions of protonation/ deprotanaç~ao and zeta potential obtained in modeling nanoscopic arise in microscopic scale through interface conditions in the problem of Stokes and Nerst-Planck equations respectively governing the movement of the aqueous solution and transport of ions. We developed the process of upscaling the problem nano/microscopic using the homogenization technique of periodic structures by deducing the macroscopic model with their respectives cell problems for effective parameters of the macroscopic equations. Considering a clayey porous medium consisting of kaolinite clay plates distributed parallel, we rewrite the macroscopic model in a one-dimensional version. Finally, using a sequential algorithm, we discretize the macroscopic model via the finite element method, along with the interactive method of Picard for the nonlinear terms. Numerical simulations on transient regime with variable pH in one-dimensional case are obtained, aiming computational modeling of the electroremediation process of clay soils contaminated

Lousa digital no ensino de matemática

Using the digital whiteboard and its resources , classes become much more motivating and interesting than those that only require the chalk or whiteboard. In the face of still images , or moving, this technology has caused a broader interaction between the student, the content taught and the teacher bringing positive and significant changes to education. In this work, we discuss the technological evolution of education, new educational technologies, the digital blackboard and your pedagogical applications inmath classes and howthe teacher can mount it using resources available at the school and other relatively low cost. Finally, we will address the concept of homography and how it is applied in its operation.

Lousa digital no ensino de matemática

Using the digital whiteboard and its resources , classes become much more motivating and interesting than those that only require the chalk or whiteboard. In the face of still images , or moving, this technology has caused a broader interaction between the student, the content taught and the teacher bringing positive and significant changes to education. In this work, we discuss the technological evolution of education, new educational technologies, the digital blackboard and your pedagogical applications inmath classes and howthe teacher can mount it using resources available at the school and other relatively low cost. Finally, we will address the concept of homography and how it is applied in its operation.

Yes, nós temos arquitetura moderna! Reconstituição e análise da arquitetura residencial moderna em Natal das décadas de 50 e 60

Brazilian architecture was recognized because of the consecration of the icons of the Carioca and Paulista schools which are represented nationally and internationally by names like Niemeyer, Lucio Costa and Vilanova Artigas, among others. Because of this, classic studies dedicated to the Brazilian case look to present the Southeastern region with the title of father of modern Brazil, at the cost of subjugating various other modern movements and peripheral sayings, whether their values are known or forgotten. On the other hand, there has been an effort, in the sense of registering and analyzing these regional productions of modern Brazilian architecture, an assignment that DOCOMOMO Brasil participates firmly through initiatives like the creation of a Library to aid in the documentation and registration of modernity in Brazil. Inside this context of insertions of the National-Modern scheme, this work has as its objective to present modern potiguar (northern Brazil) architecture through its contemporary residential examples, investigating specifically its constructive, formal aspects, that together that together demonstrate one more architectural emphasis of modern Brazilian architecture: the potiguar. This way, by contributing to the work of the register and the documentation of the Modern Movement and attributing to the modern architecture of Natal it s real worth, we can say: Yes, we have modern architecture

Arquitetura residencial em João Pessoa-PB a experiência moderna nos anos 1970

In the mid-1980s, the magazine Projeto published the Actual Brazilian Architecture catalogue presenting texts by Hugo Segawa and Ruth Verde Zein with a corpus of works and engaged architects of the 1960s and 1970s. To comprehend the Brazilian architectural production post-1964, in those years of the 1980s, became a significant mission to reactivate the Brazilian architectural debate weakened by the military dictatorship. In his doctoral thesis Spadoni (2003) deals with the different ways which characterizes the Brazilian architectural production of the 1970s. Marked by inventiveness, this production was in tune with the modern thinking and in the transition period between the 1970s and the 1980s it synchronized with the international debate about post-modern architecture. Considering Spadoni s doctoral thesis, this work deals with the modern experience observed in the one-family-houses built in the seventies in João Pessoa. Some modern experiences were not clear outside, to observe it, it was necessary to search for the type of experience into the spatial disposition and of the know-how constructive, because into the appearance some houses not make explicit the use of the modern language. Other observed experiences allude to the repertoire of the Brazilian period in the years 1940s-1960s, to the experience of the modern architecture in São Paulo of the 1960s, to the experiences in which the climate of the Northeastern region strongly influenced the architectural conception. We can also find in a reduced number of houses a particular experience: it refers to experiences that expose the constructive doing, which leave the material apparent and apply to the residential type the experience of the industrial pre-fabricated buildings