Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2016-08-16T23:13:57Z No. of bitstreams: 1 KarloSergioMedeirosLeopoldino_DISSERT.pdf: 10746375 bytes, checksum: 97d53d2b72cf6a8a121fc1e63b2d8735 (MD5) / Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2016-08-24T19:57:21Z (GMT) No. of bitstreams: 1 KarloSergioMedeirosLeopoldino_DISSERT.pdf: 10746375 bytes, checksum: 97d53d2b72cf6a8a121fc1e63b2d8735 (MD5) / Made available in DSpace on 2016-08-24T19:57:21Z (GMT). No. of bitstreams: 1 KarloSergioMedeirosLeopoldino_DISSERT.pdf: 10746375 bytes, checksum: 97d53d2b72cf6a8a121fc1e63b2d8735 (MD5) Previous issue date: 2016-05-13 / A presente disserta??o tem por objetivo apresentar um estudo relativo ? sequ?ncia de Fibonacci, iniciado a partir de um simples problema de reprodu??o de coelhos e da raz?o ?urea, originada de uma constru??o geom?trica, para aplica??es no ensino b?sico. A ideia principal da disserta??o ? apresentar registros hist?ricos da ocorr?ncia destes conceitos na natureza e na ci?ncia e suas in- flu?ncias nos meios sociais, culturais e cient?ficos. Apresenta-se ainda a identifica??o e caracteriza??o das propriedades b?sicas desses conceitos e de que forma ocorre a liga??o entre os mesmos e, principalmente, as consequ?ncias intrigantes das mesmas. Mostram-se atividades enfatizando constru??es geom?tricas, liga??es com outras ?reas da matem?tica, curiosidades relativas a estes conceitos e an?lise de quest?es presentes em vestibulares e Enem (Exame nacional do ensino m?dio), de forma a mostrar a import?ncia destes temas no ensino b?sico, constituindo-se uma excelente oportunidade de despertar nos alunos novos olhares no campo da ci?ncia e da vida a partir do tema apresentado, bem como promover novas maneiras de pensar a matem?tica como ci?ncia transformadora da sociedade. / This thesis aims to present a study of the Fibonacci sequence, initiated from a simple problem of rabbits breeding and the Golden Ratio, which originated from a geometrical construction, for applications in basic education. The main idea of the thesis is to present historical records of the occurrence of these concepts in nature and science and their influence on social, cultural and scientific environments. Also, it will be presented the identification and the characterization of the basic properties of these concepts and howthe connection between them occurs,and mainly, their intriguing consequences. It is also shown some activities emphasizing geometric constructions, links to other mathematics areas, curiosities related to these concepts and the analysis of questions present in vestibular (SAT-Scholastic Aptitude Test) and Enem(national high school Exam) in order to show the importance of these themes in basic education, constituting an excellent opportunity to awaken the students to new points of view in the field of science and life, from the presented subject and to promote new ways of thinking mathematics as a transformative science of society.