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Previous issue date: 2014-03-20 / The goal of this Master s Thesis Degree was to analyze the mathematics perception
of High School students by means of Mathematical Modeling Teaching in Music. It
was organized in four chapters, named Maps. The first one is identification map,
which it was recognized the research, it was presented the justification, the problem,
the goals, the volunteers collaborators and the methodological procedures used. The
second map, second chapter, it was presented theoretical reflections addressing the
relationship of Mathematics topics with Music (theme of pedagogical activity),
Mathematical Modeling (research theme), and Perception (subject of analysis) which
were bases of pedagogical proposal and data analysis. The third chapter is the field s
map, in this part are described the empirical data of this research, which were
obtained from the application of didactic proposal with volunteers students who
attended High School and participated in workshops of musical instruments in an
Institute in Pato Branco (PR). Using a qualitative analysis from a case study, the
analysis s map approaches the data obtained in the application of research from
theoretical studies on the relationship of Mathematics with Music, Mathematical
Modeling and Perception. The results of the research showed that, by means of
Mathematical Modeling Teaching, students raised hypotheses, watched, they
reflected, interpreted, solved problems and, realized in Music theoretical concepts of
Mathematics. / Esta pesquisa de mestrado teve como objetivo analisar a percep??o matem?tica de
estudantes do Ensino M?dio por meio da Modela??o Matem?tica na M?sica. Foi
estruturada em quatro cap?tulos, denominados Mapas. O primeiro ? o mapa de
identifica??o, no qual fez-se o reconhecimento da pesquisa, apresentou-se a
justificativa, o problema, os objetivos, os colaboradores volunt?rios e os
procedimentos metodol?gicos adotados. No mapa te?rico, segundo cap?tulo,
apresentam-se reflex?es te?ricas abordando os temas Rela??o da Matem?tica com
a M?sica (tema da atividade pedag?gica), Modelagem Matem?tica na Educa??o
(tema da pesquisa), e Percep??o (tema da an?lise), que foram bases da proposta
pedag?gica e da an?lise dos dados. O terceiro cap?tulo ? o mapa de campo, nele
est?o descritos os dados emp?ricos desta pesquisa, os quais foram obtidos a partir
da aplica??o da proposta did?tica com estudantes volunt?rios que cursavam o
Ensino M?dio, e participavam de oficinas de instrumentaliza??o em um Instituto da
cidade de Pato Branco (PR). Sob an?lise qualitativa realizada a partir de um estudo
de caso, o mapa de an?lise aproxima os dados obtidos na aplica??o da pesquisa
dos estudos te?ricos sobre a rela??o da Matem?tica com a M?sica, Modelagem
Matem?tica na Educa??o e Percep??o. O resultado da pesquisa mostrou que, por
meio da Modela??o Matem?tica, os estudantes levantaram hip?teses, observaram,
refletiram, interpretaram, solucionaram problemas e, assim, perceberam na M?sica
conte?dos te?ricos da Matem?tica.
| Identifer | oai:union.ndltd.org:IBICT/oai:tede2.pucrs.br:tede/3470 |
| Date | 20 March 2014 |
| Creators | Grams, Ana Laura Bertelli |
| Contributors | Biembengut, Maria Salett |
| Publisher | Pontif?cia Universidade Cat?lica do Rio Grande do Sul, Programa de P?s-Gradua??o em Educa??o em Ci?ncias e Matem?tica, PUCRS, BR, Faculdade de F?ca |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da PUC_RS, instname:Pontifícia Universidade Católica do Rio Grande do Sul, instacron:PUC_RS |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | 3565627554998330423, 500, 600, 6574392640991280001 |
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