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Motiva??es matem?ticas por meio de resolu??o de problemas de probabilidade geom?trica

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Previous issue date: 2017-11-29 / Alicer?ado em uma abordagem diferenciada, expondo cen?rios hist?ricos, com ?nfase nos
conceitos essenciais de Probabilidade e de Geometria admiss?veis no Ensino M?dio, al?m de
esclarecimentos te?ricos aprofundados e resolu??es de problemas motivadores de
probabilidade geom?trica, o presente trabalho tem por objetivo fazer uma conex?o entre o
bin?mio probabilidade e geometria no sentido de abordar determinados teoremas da
geometria euclidiana plana, anal?tica e espacial, resolvendo problemas ? que n?o s?o poucos ?
de probabilidade, utilizando somente a sua defini??o cl?ssica. A abordagem ? uma via de m?o
dupla, pois possibilita a intera??o entre os temas supracitados, facilitando e estimulando de
modo concreto e pr?tico a compreens?o e aprendizagem dos temas estudados. Em fun??o do
ensinamento dessa tem?tica, prop?e-se potencializar sua aprendizagem com recursos
resolutivos realmente funcionais e motivadores, uma vez que, devido a necessidade de possuir
amplo conhecimento em v?rios ?mbitos educacionais, o estudo de Probabilidade se torna um
t?pico imprescind?vel nas diversas ?reas da engenharia, na medicina, administra??o, e,
inclusive, no dia-a-dia. / Grounded on a differentiated approach, exposing historical scenarios, with emphasis on the
essential concepts of Probability and Geometry admissible in High School, in addition to indepth
theoretical clarifications and resolutions of geometric probability motivating problems,
present work by objective make a connection between the binomial probability and geometry
in the sense of addressing certain theorems of flat Euclidean, analytic, and spatial geometry,
solving problems ? which are not few ? of probability, using only their classical definition.
The approach is a two-way street, because it allows the interaction between the above
mentioned themes, facilitating and stimulating in a concrete and practical way the
understanding and learning of the subjects studied. Due to the teaching of this thematic, it is
proposed to potentiate its learning with really functional and motivational resolution
resources, once, due to the need to have ample knowledge in several educational
environments, the Probability study becomes an indispensable topic in the various areas of
engineering, medicine, administration, and even day-to-day life.

Identiferoai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/24613
Date29 November 2017
CreatorsSilva, Antonio Roberto da
Contributors02760027686, Lopes, Gabriela Lucheze de Oliveira, 76297586187, Freitas, Joaquim Elias de, 00588750425, Lopes, Jaques Silveira
PublisherPROGRAMA DE P?S-GRADUA??O EM MATEM?TICA EM REDE NACIONAL, UFRN, Brasil
Source SetsIBICT Brazilian ETDs
LanguagePortuguese
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis
Sourcereponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN
Rightsinfo:eu-repo/semantics/openAccess

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