Grafos e seu Polinômio Característico: Uma proposta didática para o Ensino Médio
DOI:
https://doi.org/10.5902/2179460X36967Keywords:
Grafos, Matrizes, Determinantes, Polinômio CaracterísticoAbstract
Neste trabalho, um tema relacionado às redes sociais é usado como uma estratégia didática para conectar a matemática conceitual e teórica ao cotidiano dos alunos do Ensino Médio. A proposta foi elaborada para ser aplicada na forma de uma oficina na 15a Semana Acadêmica Integrada do Centro de Ciências Naturais e Exatas. A partir do problema motivador sobre o conteúdo de Grafos, foram geradas matrizes, calculados os determinantes pelo método de Laplace e por escalonamento e determinado o polinômio característico. Para finalizar, foi aplicado um questionário aos participantes da oficina com o intuito de obter respostas quanto ao trabalho realizado.
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ADAMI, A. (2011). Redes sociais. , URL http://www.infoescola.com/sociedade/redes-sociais-2/, acessado em 28 de mar. 2017.
ANTON, H., RORRES, C. (2012). álgebra Linear com Aplicações. Ed. Bokman.
BRASIL (2000). Parâmetros Curriculares Nacionais (Ensino Médio). 2000, URL http://portal.mec.gov.br/seb/arquivos/pdf/blegais.pdf, acesso em 08 out. 2016.
FRITSCHER, E. (2011). Propriedades espectrais de um grafo. Dissertação de Mestrado, Dissertação de Mestrado, UFRGS. Kühlkamp, N. (2007). Matrizes e Sistemas de Equações Lineares. Ed. da UFSC.
MIGUEL, J. C. (2012). O ensino de matemática na perspectiva da formação de conceitos: Implicações teórico-metodológcias. ,URL: www.unesp.br/prograd/PDFNE2003/O%20ensino%20de%20matematica.pdf, acessado em 28 de mar. 2017. Polya, G. A. (1995). A arte de resolver problemas. 1995.
SANTANA, C. R., YARTEY, J. N. A. (2008). Álgebra Linear - Resumo da Teoria. Editus.
SANTOS, P. L. F. (2010). Teoria espectral de grafos aplicada ao problema de isomorfisamo de grafos. Dissertação de Mestrado, Dissertação de Mestrado, UFES.
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