Uma análise dos livros de André Perez Y Marin: um momento da história da matemática escolar brasileira no início do século XX

Pós-graduação em Educação Matemática - IGCE

Livros didáticos e concepções de professores: a história da Ciência no ensino de Equilíbrio Químico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo de sistemas não-lineares em mecânica quântica

The main goal of this work is to investigate the effects of a nonlinear cubic term inserted in the Schrödinger equation for one-dimensional potentials studied in Quantum Mechanics textbooks. Being the main tool the numerical analysis in a large number of works, the analysis of this effect by this term in the potential itself, in order to work with an analytical solution, can be considered something new. For the harmonic oscillator potential, the analysis was made from a numerical method, comparing the result with the known results in the literature. In the case of the infinite well potential and the step potential, hoping to work with an analytical solution, by construction we started with the known wavefunction for the linear case noting the effects in the other physical quantities. The coupling of the physical quantities involved in this work has yielded, besides many complications in the calculations, a series of conditions on the existence and validity of the solutions in regard to the system possible configurations

Foto-Geo-Grafia: uma aproximação entre linguagens

Currently we live in an increasingly visual world, where images are used as non-verbal language for different interests. Considering the ease of getting a photograph and the many ways that it can find, understand that this language can be a means of reading the geographic space, appearing as text and not only as illustration for teaching geography. Thus, this work aims to try an approach between artistic photographic language and geographic scientific language, observing how different groups with different ages read the geographic space through photographs. Focusing on the school environment, we have in mind the need to work with the various pictorial means that are increasingly present in textbooks of geography teaching. Here then, as proposed, a trial in which students from elementary and secondary education will shoot what for them is the city. The analysis will be performed observing possible differences and / or common aspects in the photographs according to the age group of students groups, trying to discover how the geographic space is being read by students through images and how this trial can contribute to the basic education of discipline geography