Artigos Científicos - FAMAT/CAMPSALINAS
URI Permanente para esta coleçãohttps://repositorio.ufpa.br/handle/2011/10343
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Item Acesso aberto (Open Access) Intradisciplinaridade matemática com GeoGebra na matemática escolar(Universidade Federal do Pará, 2019-04) FARIA, Rejane Waiandt Schuwartz de Carvalho; MALTEMPI, Marcus ViniciusIn this paper, we discuss the intradisciplinary work in school mathematics and bring evidences that the use of GeoGebra favors it. In order to do so, we question the process of disciplining science that contributed to the deepening of various areas, at the same time as it propelled a growing dissociation among them. Similarly, the hyper-specialization of mathematical knowledge has contributed to the fragmentation of school mathematics in the arithmetic, geometry, and algebra ramifications, which has made it difficult to learn by the students. Seeking the balance between fragmentation and totalization, we investigated the intradisciplinarity of school mathematics with GeoGebra. We used a qualitative research methodology and we analyzed an activity of proportional reasoning exploration developed with mathematics teachers from an elementary school. The analysis indicate that GeoGebra allows for the exploration of multiple representations that highlight particularities of the mathematical fronts through its diverse resources and windows that present the dynamically connected mathematical objects, which contributes in a way that the disadvantages of each representation are satisfied by the advantages of the others in teaching and learning mathematics. We concluded that the intradisciplinary mathematical approach with GeoGebra emphasizes the concomitant work among the different mathematical ramifications and offers the teachers the possibility of exploring it in their pedagogical practice.Item Acesso aberto (Open Access) On convergence and solvability of an elliptic equation by finite difference method(Universidade Federal do Pará, 2017-04) RAMOS, Anderson de Jesus AraújoIn this article we deal with questions of convergence, existence and uniqueness of the numerical solutions for a discretized elliptic problem by using finite difference method. In order to show existence and uniqueness of numerical solutions we will use a suitable variational setup (at discrete level) to guarantee the existence of a numerical solution by means of a finite difference methodItem Acesso aberto (Open Access) Finite difference preserving the energy properties of a coupled system of diffusion equations(Universidade Federal do Pará, 2013-08) RAMOS, Anderson de Jesus Araújo; ALMEIDA JÚNIOR, Dilberto da SilvaIn this paper we proved the exponential decay of the energy of a numerical scheme in finite difference applied to a coupled system of diffusion equations. At the continuous level, it is well-known that the energy is decreasing and stable in the exponential sense. We present in detail the numerical analysis of exponential decay to numerical energy since holds the stability criterion.