Números binomiais: aplicações ao ensino e extensões
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2021-08-24
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Universidade Federal de Goiás
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In this work, we approach the binomial coefficients, which are seen in basic education in the 2nd grade of high school, when students are presented with the contents of combinatorial analysis. When binomial coefficients are presented, students study the definition and emer-gence of these coefficients in the Triangle of Pascal and Newton’s Binomial. In order to expose the binomial coefficients, we present and demonstrate some of their relevant properties and some of their extensions. Initially, we present the counting principles, after exposing the defi-nition of the binomial coefficients and their properties, we also present the relationship of these coefficients with the Fibonacci sequence and the Lucas Theorem. In addition, we pro-pose some activities that can be used by the high school mathematics teacher that use the bi-nomial coefficients as well as their properties. We finish with a construction of the Pascal Tri-angle and the development of the Newton Binomial in the Geogebra that can be used by the teacher during the presentation of these contents.
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BARROS, G. S. Números binomiais: aplicações ao ensino e extensões. 2021. 98 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2021.