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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.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/21304 |
| Date | 18 February 2016 |
| Creators | Alves, Juliana Maria Schivani |
| Contributors | 00828345473, http://lattes.cnpq.br/1300121866958282, Franzon, Carmen Rosane Pinto, 24920630034, http://lattes.cnpq.br/2931404995772488, Cury, Fernando Guedes, 71923330187, http://lattes.cnpq.br/6258771568808939, Sousa, Giselle Costa de |
| Publisher | Universidade Federal do Rio Grande do Norte, PROGRAMA DE P?S-GRADUA??O EM ENSINO DE CI?NCIAS NATURAIS E MATEM?TICA, UFRN, Brasil |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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