Ensino de língua inglesa para pré-escolares: apontamentos a partir de um processo de observação.

Trabalho de Conclusão do Curso de Especialização em Educação Infantil - primeira Edição – Polo Chapecó, para a obtenção do Grau de Especialista em Educação Infantil.Este artigo procura fazer alguns apontamentos acerca de como é desenvolvido o ensino de língua inglesa em uma turma de pré-escolar. As discussões apresentadas procuram articular teoria e prática por meio de análise bibliográfica realizada em alguns estudos que abordam a temática e da observação de aulas de língua inglesa desenvolvidas em turma de pré-escolar, na cidade de Abelardo Luz. Constatou-se que a aprendizagem significativa de uma língua estrangeira, por crianças pré-escolares exige que o processo de ensino não ocorra automaticamente, de forma mecânica, mas exige esforço, observação, análise, reflexão e mudança de postura ao longo do caminho, muitas vezes se faz necessária

Ao luar do sertão brilha uma luz fluorescente: releitura de um tema popular pela ótica da harmonia do século XX.

Bastante representativa do cancioneiro brasileiro a canção “Luar do Sertão” gera discussões em torno de sua autoria. Não sendo meu objetivo tratar com profundidade dessa questão, analisarei aqui a segunda peça de uma suíte para violão solo chamada “Quadra” - composta de temas populares. A peça apresenta uma releitura da canção original à partir da ótica da harmonia do século XX. Textos de Persichetti, Hindemith e Brindle serão usados como fundamentação teórica para a análise harmônica da peça. Pretende-se, dessa forma, mostrar como uma melodia tonal pode dialogar com outras formas de organização das alturas

Uniformization, accessory parameters and modular forms

Several topics related to modular forms and to the accessory parameter problem for the uniformization of hyperbolic Riemann surfaces are discussed. In the first part of the thesis we present an algorithm for the computation of the accessory parameters for the Fuchsian uniformization of certain punctured spheres. Then, via modular forms of rational weight, we show that the knowledge of the uniformizing differential equation leads to the complete knowledge of the ring of modular forms $M_*(Gamma)$ and of its Rankin-Cohen structure. In the second part of the thesis, a new operator $partial_ ho$ is defined on the space of quasimodular forms $widetilde{M}_*(Gamma)$ from an infinitesimal deformation of the uniformizing differential equation. It is shown that $partial_ ho$ can be described in terms of well-known derivations on $widetilde{M}_*(Gamma)$ and certain integrals of weight four-cusp forms; the relation between the operator $partial_ ho$ and a classical construction in Teichm"uller theory is discussed. The functions $partial_ ho{g},,ginwidetilde{M}_*(Gamma),$ motivate the study and the introduction of a new class of functions, called emph{extended modular forms}. Extended modular forms are defined as certain components of vector-valued modular forms with respect to symmetric tensor representations. Apart from the functions $partial_ ho{g},$ examples of extended modular forms are: Eichler integrals, more general iterated integrals of modular forms, and elliptic multiple zeta values

Uniformization of punctured spheres and modular forms

We investigate some aspects of the classical accessory parameters problem from the point of view of modular forms. We show that if $X\simeq\mathbb{H}/\Gamma$ is an $n$-punctured sphere, the whole ring of modular forms $M_*(\Gamma)$ can be constructed from a Frobenius basis of solutions of the uniformizing differential equation of $X.$ The argument is based on the more general construction of certain rings of modular forms of rational weight from the uniformizing differential equation of $X$. In the second part we present an algorithm for the computation of the uniformizing value of the accessory parameters for certain punctured spheres. It is based on the modularity of the holomorphic solution of the uniformizing differential equation. The algorithm works uniformly in the case of four-punctured spheres, and it can be used to compute the uniformizing accessory parameters for spheres with $n\ge 4$ punctures and enough automorphisms.Comment: 29 page

Modular forms, deformation of punctured spheres, and extensions of symmetric tensor representations

Let~X=\Po/\Gamma be an~$n$-punctured sphere, $n>3$. We introduce and study~$n-3$ deformation operators on the space of modular forms~$M_*(\Gamma)$ based on the classical theory of uniformizing differential equations and accessory parameters. When restricting to modular functions, we recover a construction in Teichm\"uller theory related to the deformation of the complex structure of~$X$. We describe the deformation operators in terms of derivations with respect to Eichler integrals of weight-four cusp forms, and in terms of vector-valued modular forms attached to extensions of symmetric tensor representations

Saul Bellow's defense of man: the pattern of alienation, purgation and reconciliation in Saul Bellow's fiction

Dissertação (mestrado) - Universidade Federal de Santa Catarina, Florianópolis, 1980

Ramanujan systems of Rankin-Cohen type and hyperbolic triangles

In the first part of the paper we characterize systems of first order nonlinear differential equations whose space of solutions is an $\mathfrak{sl}_2(\mathbb{C})$-module. We prove that such systems, called Ramanujan systems of Rankin-Cohen type, have a special shape and are precisely the ones whose solution space admits a Rankin-Cohen structure. In the second part of the paper we consider triangle groups $\Delta(n,m,\infty)$. By means of modular embeddings, we associate to every such group a number of systems of non linear ODEs whose solutions are algebraically independent twisted modular forms. In particular, all rational weight modular forms on $\Delta(n,m,\infty)$ are generated by the solutions of one such system (which is of Rankin-Cohen type). As a corollary we find new relations for the Gauss hypergeometric function evaluated at functions on the upper half-plane. To demonstrate the power of our approach in the non classical setting, we construct the space of integral weight twisted modular form on $\Delta(2,5,\infty)$ from solutions of systems of nonlinear ODEs.Comment: 23 page