Practical resolution tips for trigonometric ratios with remarkable angles

Detalhes bibliográficos
Autor(a) principal: Fernandes, Cícera
Data de Publicação: 2020
Outros Autores: Silva, José Gleison Alves da, Sousa, Rosalide Carvalho de, Vasconcelos, Ana Karine Portela
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/1337
Resumo: This paper aims to demonstrate and analyze a proposal for the teaching of trigonometric reasons in the right triangle, emphasizing the remarkable angles, through less pragmatic and complex teacher's orientations, in order to generate faster and more practical thinking. of the student when seeking the solution of the problem situation. In this regard, a bibliographic research of the trigonometric approach of the rectangle triangle of textbooks with renowned authors in Brazil, such as Mathematics Science and Application by Iezzi et al., (2007), Mathematics Contexts & Applications by Dante (2013), Complete Mathematics, was conducted. Giovanni e Bonjorno (2005) and Connections to Barroso's mathematics (2010), aiming to find methodological support that corroborates our research. Therefore, the methodological procedures were divided into two strands: in the first moment the explanations of the proposed subject on the direction of the methodology of teaching Polya Problem Solving in two distinct classes were performed, in a second moment two evaluations were applied, one with the method. present in some textbooks analyzed and another according to the proposal of our work, in a strand more focused on the style used in the courses, which use practical tips and easy memorization, known prosaically as "Bizu". The analysis of the students' evaluations presented the following results: 63% of correct answers in the classical approach and 88% of correct answers in the methodology of our proposal, which led us to make several reflections inherent to teaching and learning and the ways to pass the mathematical contents. , more specifically trigonometric ratios.
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spelling Practical resolution tips for trigonometric ratios with remarkable anglesConsejos prácticos de resolución para relaciones trigonométricas con ángulos notablesDicas de resoluções práticas das razões trigonométricas com os ângulos notáveisTrigonometríaMatemáticasSolución de problemas.TrigonometriaMatemáticaResolução de Problemas.TrigonometryMathematicsTroubleshootingThis paper aims to demonstrate and analyze a proposal for the teaching of trigonometric reasons in the right triangle, emphasizing the remarkable angles, through less pragmatic and complex teacher's orientations, in order to generate faster and more practical thinking. of the student when seeking the solution of the problem situation. In this regard, a bibliographic research of the trigonometric approach of the rectangle triangle of textbooks with renowned authors in Brazil, such as Mathematics Science and Application by Iezzi et al., (2007), Mathematics Contexts & Applications by Dante (2013), Complete Mathematics, was conducted. Giovanni e Bonjorno (2005) and Connections to Barroso's mathematics (2010), aiming to find methodological support that corroborates our research. Therefore, the methodological procedures were divided into two strands: in the first moment the explanations of the proposed subject on the direction of the methodology of teaching Polya Problem Solving in two distinct classes were performed, in a second moment two evaluations were applied, one with the method. present in some textbooks analyzed and another according to the proposal of our work, in a strand more focused on the style used in the courses, which use practical tips and easy memorization, known prosaically as "Bizu". The analysis of the students' evaluations presented the following results: 63% of correct answers in the classical approach and 88% of correct answers in the methodology of our proposal, which led us to make several reflections inherent to teaching and learning and the ways to pass the mathematical contents. , more specifically trigonometric ratios.Este artículo tiene como objetivo demostrar y analizar una propuesta para la enseñanza de razones trigonométricas en el triángulo rectángulo, enfatizando los ángulos notables, a través de orientaciones docentes menos pragmáticas y complejas, para generar un pensamiento más rápido y más práctico. del alumno cuando busca la solución de la situación problemática. En este sentido, se realizó una investigación bibliográfica del enfoque trigonométrico del triángulo rectángulo de los libros de texto con autores de renombre en Brasil, como Mathematics Science and Application por Iezzi et al., (2007), Mathematics Contexts & Applications por Dante (2013), Complete Mathematics. de Bonjorno et al. (2005) y Conexiones a las matemáticas Giovanni e Barroso (2010), con el objetivo de encontrar apoyo metodológico que corrobore nuestra investigación. Por lo tanto, los procedimientos metodológicos se dividieron en dos líneas: en el primer momento se realizaron las explicaciones del tema propuesto sobre la dirección de la metodología de enseñanza de la resolución de problemas de Polya en dos clases distintas, en un segundo momento se aplicaron dos evaluaciones, una con el método. presente en algunos libros de texto analizados y otros según la propuesta de nuestro trabajo, en un capítulo más centrado en el estilo utilizado en los cursos, que utilizan consejos prácticos y de fácil memorización, conocidos prosaicamente como "Bizu". El análisis de las evaluaciones de los estudiantes presentó los siguientes resultados: 63% de respuestas correctas en el enfoque clásico y 88% de respuestas correctas en la metodología de nuestra propuesta, lo que nos llevó a hacer varias reflexiones inherentes a la enseñanza y el aprendizaje y las formas de pasar los contenidos matemáticos. , más específicamente proporciones trigonométricas.O presente artigo tem como objetivo demonstrar e analisar uma proposta para o ensino das razões trigonométricas no triângulo retângulo dando ênfase aos ângulos notáveis, por meio de orientações menos pragmáticas e complexas do professor, com o intuito de gerar maior rapidez e praticidade no desenvolvimento do raciocínio do aluno ao buscar a solução da situação problema. Neste viés, foi realizado uma pesquisa bibliográfica da abordagem trigonométrica do triângulo retângulo de livros didáticos com autores renomados no Brasil, como Matemática Ciência e Aplicação de Iezzi et al., (2007), Matemática Contextos & Aplicações de Dante (2013), Matemática Completa de Giovanni e Bonjorno (2005) e Conexões com a matemática de Barroso (2010), objetivando encontrar suporte metodológico que corroborasse com a nossa pesquisa.  Portanto, os procedimentos metodológicos foram divididos em duas vertentes: no primeiro momento foram realizadas as explanações do assunto proposto sobre o direcionamento da metodologia de ensino Resolução de Problemas de Polya em duas turmas distintas, num segundo momento foram aplicadas duas avaliações, uma com o método clássico presentes em alguns livros didáticos analisados e outra segundo a proposta de nosso trabalho, numa vertente mais voltada para o estilo utilizados nos cursinhos, no qual se utilizam de dicas práticas e de fácil memorização, conhecida de modo prosaico por “Bizu”. As análises das avaliações dos alunos apresentaram os seguintes resultados: 63% de acertos na abordagem clássica e 88% de acertos na metodologia de nossa proposta, o que nos levou a fazer várias reflexões inerentes ao ensino e aprendizagem e as formas de repassar os conteúdos matemáticos, mais especificamente de razões trigonométricas.Research, Society and Development2020-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/133710.33448/rsd-v9i1.1337Research, Society and Development; Vol. 9 No. 1; e09911337Research, Society and Development; Vol. 9 Núm. 1; e09911337Research, Society and Development; v. 9 n. 1; e099113372525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/1337/1394Copyright (c) 2019 Cícera Fernandes, Cícera Fernandes, José Gleison Alves da Silva, Rosalide Carvalho de Sousa, Ana Karine Portela Vasconcelosinfo:eu-repo/semantics/openAccessFernandes, CíceraSilva, José Gleison Alves daSousa, Rosalide Carvalho deVasconcelos, Ana Karine Portela2020-08-19T03:04:08Zoai:ojs.pkp.sfu.ca:article/1337Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:26:24.915596Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv Practical resolution tips for trigonometric ratios with remarkable angles
Consejos prácticos de resolución para relaciones trigonométricas con ángulos notables
Dicas de resoluções práticas das razões trigonométricas com os ângulos notáveis
title Practical resolution tips for trigonometric ratios with remarkable angles
spellingShingle Practical resolution tips for trigonometric ratios with remarkable angles
Fernandes, Cícera
Trigonometría
Matemáticas
Solución de problemas.
Trigonometria
Matemática
Resolução de Problemas.
Trigonometry
Mathematics
Troubleshooting
title_short Practical resolution tips for trigonometric ratios with remarkable angles
title_full Practical resolution tips for trigonometric ratios with remarkable angles
title_fullStr Practical resolution tips for trigonometric ratios with remarkable angles
title_full_unstemmed Practical resolution tips for trigonometric ratios with remarkable angles
title_sort Practical resolution tips for trigonometric ratios with remarkable angles
author Fernandes, Cícera
author_facet Fernandes, Cícera
Silva, José Gleison Alves da
Sousa, Rosalide Carvalho de
Vasconcelos, Ana Karine Portela
author_role author
author2 Silva, José Gleison Alves da
Sousa, Rosalide Carvalho de
Vasconcelos, Ana Karine Portela
author2_role author
author
author
dc.contributor.author.fl_str_mv Fernandes, Cícera
Silva, José Gleison Alves da
Sousa, Rosalide Carvalho de
Vasconcelos, Ana Karine Portela
dc.subject.por.fl_str_mv Trigonometría
Matemáticas
Solución de problemas.
Trigonometria
Matemática
Resolução de Problemas.
Trigonometry
Mathematics
Troubleshooting
topic Trigonometría
Matemáticas
Solución de problemas.
Trigonometria
Matemática
Resolução de Problemas.
Trigonometry
Mathematics
Troubleshooting
description This paper aims to demonstrate and analyze a proposal for the teaching of trigonometric reasons in the right triangle, emphasizing the remarkable angles, through less pragmatic and complex teacher's orientations, in order to generate faster and more practical thinking. of the student when seeking the solution of the problem situation. In this regard, a bibliographic research of the trigonometric approach of the rectangle triangle of textbooks with renowned authors in Brazil, such as Mathematics Science and Application by Iezzi et al., (2007), Mathematics Contexts & Applications by Dante (2013), Complete Mathematics, was conducted. Giovanni e Bonjorno (2005) and Connections to Barroso's mathematics (2010), aiming to find methodological support that corroborates our research. Therefore, the methodological procedures were divided into two strands: in the first moment the explanations of the proposed subject on the direction of the methodology of teaching Polya Problem Solving in two distinct classes were performed, in a second moment two evaluations were applied, one with the method. present in some textbooks analyzed and another according to the proposal of our work, in a strand more focused on the style used in the courses, which use practical tips and easy memorization, known prosaically as "Bizu". The analysis of the students' evaluations presented the following results: 63% of correct answers in the classical approach and 88% of correct answers in the methodology of our proposal, which led us to make several reflections inherent to teaching and learning and the ways to pass the mathematical contents. , more specifically trigonometric ratios.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/1337
10.33448/rsd-v9i1.1337
url https://rsdjournal.org/index.php/rsd/article/view/1337
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publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 9 No. 1; e09911337
Research, Society and Development; Vol. 9 Núm. 1; e09911337
Research, Society and Development; v. 9 n. 1; e09911337
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
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instname_str Universidade Federal de Itajubá (UNIFEI)
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institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
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