Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2016-08-26T23:52:05Z No. of bitstreams: 1 JulianaMariaSchivaniAlves_DISSERT.pdf: 12936570 bytes, checksum: a4875e915d131fd0881b9d213cee8765 (MD5) / Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2016-08-31T20:48:31Z (GMT) No. of bitstreams: 1 JulianaMariaSchivaniAlves_DISSERT.pdf: 12936570 bytes, checksum: a4875e915d131fd0881b9d213cee8765 (MD5) / Made available in DSpace on 2016-08-31T20:48:31Z (GMT). No. of bitstreams: 1 JulianaMariaSchivaniAlves_DISSERT.pdf: 12936570 bytes, checksum: a4875e915d131fd0881b9d213cee8765 (MD5) Previous issue date: 2016-02-18 / Esta pesquisa tem o objetivo de construir atividades pautadas na Hist?ria da Matem?tica, executadas por meio da Investiga??o Matem?tica e das Tecnologias de Informa??o e Comunica??o para abordar, de forma contextualizada, os conceitos de Fun??o Afim e Estat?stica no Ensino M?dio. Para tanto, fundamenta-se no contexto hist?rico de Adrien-Marie Legendre (1752-1833), sua cria??o do M?todo dos M?nimos Quadrados (1805); Francis Galton (1822-1911) e seus experimentos que originaram a Regress?o Linear (1875). A partir desta pesquisa bibliogr?fica, dos momentos hist?ricos selecionados e dos resultados alcan?ados, este trabalho prop?e e valida uma sequ?ncia de atividades para ser usada na primeira s?rie do Ensino M?dio. Esta sequ?ncia ? composta de duas atividades hist?ricas investigativas solucionadas com o uso de um software de planilhas eletr?nicas. A primeira atividade proposta recria, com os alunos, o experimento de Galton acerca do estudo comparativo das estaturas de pais e filhos. Os estudantes coletaram dados e os analisaram ? medida que foram diferenciando fun??o de rela??o, tipos de vari?veis, coeficientes linear e angular, crescimento da fun??o e, aprendendo alguns conceitos de Estat?stica b?sica, explorando o software. A segunda atividade objetiva aplicar os conceitos hist?ricos abordados anteriormente para fazer um estudo comparativo das medidas corporais e de roupas, cal?ados e acess?rios. Nesta ?ltima atividade, os alunos investigaram, em seus dados reais, situa??es de Fun??es Injetoras, Sobrejetoras e Bijetoras, al?m de diferenciarem dom?nio de imagem, vari?veis de coeficientes num?ricos e fazerem estimativas das fun??es encontradas. O uso do recurso tecnol?gico provocou mais motiva??o em estudar os conceitos matem?ticos abordados. Al?m disso, reduziu o tempo da constru??o dos gr?ficos, proporcionando mais espa?o para os alunos investigarem as quest?es apresentadas. Aliado ? Hist?ria da Matem?tica, estimulou o interesse e criatividade dos alunos em realizarem as atividades investigativas propostas. Toda essa pesquisa qualitativa obteve como resultado o produto educacional constitu?do das duas atividades hist?ricas realizadas, com sugest?es e dicas para o professor que deseje aplic?-lo em suas aulas. / This research aims to create guided activities in the History of Mathematics, carried out through Mathematical Investigation, and Information and Communications Technologies, to encompass and contextualize concepts of Affine Function and Statistics in High School. Therefore it is based on the historical context of Adrien-Marie Legendre (1752-1833) and his creation of the Method of Least Squares (1805); and Francis Galton (1822-1911) and his experiments that originated Linear Regression (1875). From this literature research, and from the selected historical moments and results achieved, this study proposes and validates a sequence of activities to be used for students of the first year of High School. This sequence is composed of two historical activities to be supported using an electronic spreadsheet software. The first proposed activity recreates, with the students, Galton?s experiment about the comparative study of the stature of parents and children. The students collected data and analyzed them as they distinguished function from relation, types of variables, linear and angular coefficients and function growth, learning some Basic Statistics concepts while exploring the software. The second activity aims to apply the historical concepts discussed earlier to conduct a comparative study of the body, clothes, shoes and accessories measurements. In this activity, the students investigated, in their real data, situations of Injective, Surjective and Bijective Functions, distinguished domain from image, variables from numeric coefficients, and made estimates of the functions. The use of technology raised motivation to study the addressed mathematical concepts. Furthermore, it reduced the time to create graphs, promoting more space for the students to investigate the presented questions. Combined with the History of Mathematics, it stimulated the students? interest and creativity to perform the proposed investigative activities. All this qualitative research obtained, as a result, the educational product constituted of activities, with suggestions and tips for the teacher that might wish to apply it in class.