Matemática e música: Sistematização de analogias entre conteúdos matemáticos e musicais – ScienceOpen
16
views
0
recommends
+1 Recommend
1 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Matemática e música: Sistematização de analogias entre conteúdos matemáticos e musicais Translated title: Mathematics and music: systematization of analogies between mathematical and musical contents Translated title: Matemáticas y música: sistematización de similitudes entre contenido matemático y musical

      research-article

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Matemáticos e físicos foram encontrando ao longo dos tempos analogias entre matemática e música. Paralelamente, músicos têm-se suportado na matemática para descrever a sua arte. Este artigo consiste numa sistematização das ligações entre conteúdos matemáticos e musicais. Os conteúdos musicais foram divididos nas seguintes temáticas: 1) Teoria e análise musicais, 2) Acústica e 3) Composição musical. Subsequentemente, em cada uma destas temáticas, as associações à matemática foram sistematizadas tendo em conta a organização dos Programas de Matemática e respetivas Metas Curriculares do Ensino Básico (3º ciclo) e dos Programas de Matemática A e B do 11º e 12º anos do Ensino Secundário português. Concluímos que os elementos e conceitos musicais que se associam à matemática distribuem-se pelas áreas da Aritmética, Álgebra, Trigonometria e, em especial, Geometria.

          Translated abstract

          Over time, mathematicians and physicians have found analogies between mathematics and music. At the same time, musicians have found support in mathematics to describe their art. This article consists of a systematization of the connections between mathematical and musical contents. Musical content was divided into the subjects of: 1) Musical theory and analysis, 2) Acoustics and 3) Musical composition. Subsequently, within each of these subjects, the associations with mathematics were systemized based on the organization of Programmes of Mathematics in Basic Education and their Curriculum Targets (3rd cycle) and of Programmes of Mathematics A and B of the 11th and 12th years of Portuguese Secondary Education. We conclude that the musical elements and concepts associated with mathematics are distributed over the areas of Arithmetic, Algebra, Trigonometry and, especially, Geometry.

          Translated abstract

          Matemáticos y físicos han encontrado a lo largo de los tiempos analogías entre las matemáticas y la música. Al mismo tiempo, los músicos se han apoyado en las matemáticas para describir su arte. Este artículo consiste en una sistematización de las conexiones entre contenidos matemáticos y musicales. Los contenidos musicales fueron divididos en los siguientes temas: 1) Teoría y análisis musicales, 2) Acústica y 3) Composición musical. Posteriormente, en cada uno de estos temas, las asociaciones con las matemáticas se sistematizaron basándose en la organización de los Programas de Matemáticas de la Educación Básica y sus Objetivos Curriculares (3er ciclo) y de los Programas de Matemáticas A y B de los 11 y 12 años de la Educación Secundaria Portuguesa. Llegamos a la conclusión de que los elementos musicales y los conceptos que se asocian con las matemáticas se distribuyen en las áreas de la Aritmética, Álgebra, Trigonometría y, en particular, Geometría.

          Related collections

          Most cited references54

          • Record: found
          • Abstract: not found
          • Article: not found

          Long-term positive associations between music lessons and IQ.

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            How learning a musical instrument affects the development of skills

              Bookmark
              • Record: found
              • Abstract: found
              • Article: not found

              Music and academic performance.

              In a previous study we demonstrated that listening to a pleasant music while performing an academic test helped students to overcome stress, to devote more time to more stressful and more complicated task and the grades were higher. Yet, there remained ambiguities as for the causes of the higher test performance of these students: do they perform better because they hear music during their examinations, or would they perform better anyway because they are more gifted/motivated? This motivated the current study as a preliminary step toward that general question: Do students who like/perform music have better grades than the others? Our results confirmed this hypothesis: students studying music have better grades in all subjects. Copyright © 2013 Elsevier B.V. All rights reserved.
                Bookmark

                Author and article information

                Contributors
                Role: ND
                Role: ND
                Role: ND
                Role: ND
                Journal
                rpe
                Revista Portuguesa de Educação
                Rev. Port. de Educação
                Centro de Investigação em Educação. Instituto de Educação da Universidade do Minho (Braga )
                0871-9187
                June 2015
                : 28
                : 2
                : 271-293
                Affiliations
                [1 ] Instituto Politécnico de Coimbra Portugal
                [2 ] Universidade de Coimbra Portugal
                [3 ] Colégio Internato dos Carvalhos Portugal
                [4 ] Universidade de Aveiro Portugal
                Article
                S0871-91872015000200014
                33639961-9a5a-4fb9-b1e6-fac465687bb8

                http://creativecommons.org/licenses/by/4.0/

                History
                Product

                SciELO Portugal

                Self URI (journal page): http://www.scielo.mec.pt/scielo.php?script=sci_serial&pid=0871-9187&lng=en
                Categories
                EDUCATION & EDUCATIONAL RESEARCH

                Educational research & Statistics
                Mathematics contents,Contenidos de matemáticas,Contenidos de música,Programas de matemáticas,Relação matemática e música,Conteúdos da matemática,Mathematics and music relationship,Relación entre las matemáticas y la música,Music contents,Mathematics programmes,Conteúdos da música,Programas de matemática

                Comments

                Comment on this article