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

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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.