Navegando por Autor "LIRA, Alailson Silva de"

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Aproximações e distanciamentos entre as obras réflexions sur la métaphysique du calcul infinitésimal e théorie des fonctions analytiques a partir da análise de conteúdo
(Universidade Federal do Pará, 2022-03-31) LIRA, Alailson Silva de; QUARESMA, João Cláudio Brandemberg; http://lattes.cnpq.br/3873561463033176; https://orcid.org/0000-0001-8848-3550
In the 18th century period, several mathematicians contributed to the development of Infinitesimal Calculus (IC). Among the exponents of this context, Joseph-Louis Lagrange (1736 – 1813) and Lazare Nicolas Marguerite Carnot (1753 – 1823) stood out. Thus, as a research question, the present work raised the following problem: what points of closeness and distance do the works Réflexions sur la Métaphysique du Calcul Infinitésimal (RMCI), of 1813, by Lazare Carnot, and Théorie des Fonctions Analytiques (TFA), of 1813, by Lagrange, present, concerning the concepts of the Infinitesimal Calculus? To answer it, we used the methodological contributions of content analysis as well as the steps established in Bardin (2016), adapted for this research. Therefore, this thesis aimed to compare, based on content analysis, the approximations and detachments between the works RMCI and TFA. With this, we realized, as approximations, that both perform descriptions about their concepts and definitions and involve the same problems with the infinitesimals about the infinitely large and infinitely small quantities. As detachments, we observe that the central elements in Lagrange's work are functions and series and only the algebraic method is under discussion, while in Carnot's work infinitely small quantities and the theory of error compensation are present, and it conceives the use of infinitesimals without disregarding the other methods.
Acesso aberto (Open Access)
Os cursos de licenciatura em matemática das universidades em Belém do Pará: da criação à consolidação
(Universidade Federal do Pará, 2021-12-07) LIRA, Alailson Silva de; MENDES, Maria José de Freitas; http://lattes.cnpq.br/4608940740054670
This research aims historically contribute to the course of degree in mathematics from universities in Belem. The purpose of this is to describe the processes that led to the creation of degree courses in Mathematics, Federal University of Pará (UFPA), State University Pará (UEPA) and University of Amazonia (UNAMA) and the changes in their curriculum structures. For the development of research, we adopt the historical research as a methodological theoretical basis using taxonomic criteria and historical field Aróstegui (2006) and Barros (2005). Furthermore, written sources were analyzed, located in the archives of these educational institutions, theses, dissertations and papers that were related to the topic discussed. To reach our goal, it was necessary to go through the history of the teaching of mathematics and the first mathematics courses in Brazil, since the changes in the first degree and Brazilian society reflected in the surveyed institutions and courses in their curriculum structures. Considering the multiplicity of possible interpretations and investigator bias in responses sought, through the documents decided to consider as proposed questions, tried to compose a first story that presents the three courses together. Furthermore, this research is justified given the social, historical construction and preservation of the Bachelor's Degree in Mathematics for the metropolitan area of Belém. As result of this study, we consider the curricular changes in the courses studied in Bethlehem, were due to taxes government through educational legislation and positions taken by the institutions in relation to society of Pará. Still, none of the courses would distanced from their origins, each contributing in its own way to the development of mathematics education and teacher education in the state and the Amazon Region