Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education

Detalhes bibliográficos
Autor(a) principal: Brito, Anderson Odair de Melo
Data de Publicação: 2021
Outros Autores: Rocha, João Silva, Silva, José Eduardo
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/15171
Resumo: In the teaching of mathematics, at the level of Elementary Education, several mathematical contents are developed such as: Integers and Divisibility Criteria, are necessary contents for the development of new mathematical concepts. In this perspective, this research proposed to reflect on the development of calculations to find Sequenced Prime Numbers, based on the proposals of mathematicians Pierre de Fermat, Marin Mersenne and Eratosthenes. Thus, the research aims to propose a mathematical criterion to find Prime Sequenced Numbers in a more practical way for teaching elementary school students. Therefore, a bibliographic survey was carried out through the Google Scholar platform, considering the publication period between 2017-2021, totaling twenty articles, eight books and a monograph, selected due to their relevance to the theme. The results showed that the approach to prime numbers is verified in several thematic axes, such as mathematics and prime numbers, in addition to referring to the complexity in mathematical development for the calculations. After the demonstration of the proposed criterion and its comparison with the models of Fermat, Mersenne and Eratóstenes, it is evident that the proposal fits into a didactic for the mathematics classes, being easy for students to understand, practical and efficient for teaching calculating how to find sequenced prime numbers.
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spelling Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental educationModelos matemáticos para cálculo de números primarios: Criterios de enseñanza propuestos para la educación fundamentalModelos matemáticos para calcular números primos: Proposta de um critério didático para o ensino fundamentalPrime numbers Mersenne Fermat Eratosthenes Elementary school.Números primosMersenne FermatEratóstenesEnseñanza fundamental.Números primosMersenne Fermat Eratóstenes Ensino fundamental.In the teaching of mathematics, at the level of Elementary Education, several mathematical contents are developed such as: Integers and Divisibility Criteria, are necessary contents for the development of new mathematical concepts. In this perspective, this research proposed to reflect on the development of calculations to find Sequenced Prime Numbers, based on the proposals of mathematicians Pierre de Fermat, Marin Mersenne and Eratosthenes. Thus, the research aims to propose a mathematical criterion to find Prime Sequenced Numbers in a more practical way for teaching elementary school students. Therefore, a bibliographic survey was carried out through the Google Scholar platform, considering the publication period between 2017-2021, totaling twenty articles, eight books and a monograph, selected due to their relevance to the theme. The results showed that the approach to prime numbers is verified in several thematic axes, such as mathematics and prime numbers, in addition to referring to the complexity in mathematical development for the calculations. After the demonstration of the proposed criterion and its comparison with the models of Fermat, Mersenne and Eratóstenes, it is evident that the proposal fits into a didactic for the mathematics classes, being easy for students to understand, practical and efficient for teaching calculating how to find sequenced prime numbers.En la enseñanza de las matemáticas, a nivel de Educación Primaria, se desarrollan diversos contenidos matemáticos como: Enteros y Criterios de Divisibilidad, son contenidos necesarios para el desarrollo de nuevos conceptos matemáticos. En esta perspectiva, esta investigación se propone reflexionar sobre el desarrollo de cálculos para encontrar números primos secuenciados, basados ​​en las propuestas de los matemáticos Pierre de Fermat, Marin Mersenne y Eratosthenes. De esta forma, la investigación tiene como objetivo proponer un criterio matemático para encontrar números primos secuenciados de una manera más práctica para la enseñanza de estudiantes de primaria. Por ello, se realizó un relevamiento bibliográfico a través de la plataforma Google Scholar, considerando el período de publicación entre 2017-2021, totalizando veinte artículos, ocho libros y una monografía, seleccionados por su relevancia para la temática. Los resultados mostraron que la aproximación a los números primos se verifica en varios ejes temáticos, como las matemáticas y los números primos, además de referirse a la complejidad en el desarrollo matemático para los cálculos. Tras la demostración del criterio propuesto y su comparación con los modelos de Fermat, Mersenne y Eratóstenes, se evidencia que la propuesta encaja en una didáctica para las clases de matemáticas, siendo de fácil comprensión para los estudiantes, práctica y eficiente para la enseñanza calculando cómo encontrar números primos secuenciados.No ensino de matemática, em nível de Ensino Fundamental, são desenvolvidos diversos conteúdos matemáticos tais como: Números Inteiros e Critérios de Divisibilidade, são conteúdos necessários para o desenvolvimento de novos conceitos matemáticos, nesta perspectiva esta pesquisa propôs refletir sobre o desenvolvimento de cálculos para encontrar Números Primos Sequenciados, tomando como base as propostas dos matemáticos Pierre de Fermat, Marin Mersenne e Eratóstenes. Desta forma, a pesquisa tem por objetivo propor um critério matemático para encontrar Números Primos Sequenciados de maneira mais prática para o ensino aos estudantes do Ensino Fundamental. Sendo assim, realizou-se um levantamento bibliográfico por meio da plataforma Google Acadêmico, considerando o período de publicação entre 2017-2021, totalizando vinte artigos, oito livros e uma monografia, selecionados devido a relevância com o tema. Os resultados demonstraram que a abordagem para números primos é verificada em diversos eixos temáticos, como matemática e números primos, além de referenciar a complexidade no desenvolvimento matemático para os cálculos. Após a demonstração do critério proposto e sua comparação com os modelos de Fermat, Mersenne e Eratóstenes, evidencia-se que a proposta se enquadra numa didática para as aulas de matemática, sendo de fácil compreensão para os estudantes, prático e eficiente para o ensino de cálculo de como encontrar números primos sequenciados.Research, Society and Development2021-05-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/1517110.33448/rsd-v10i5.15171Research, Society and Development; Vol. 10 No. 5; e35910515171Research, Society and Development; Vol. 10 Núm. 5; e35910515171Research, Society and Development; v. 10 n. 5; e359105151712525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/15171/13482Copyright (c) 2021 Anderson Odair de Melo Brito; João Silva Rocha; José Eduardo Silvahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessBrito, Anderson Odair de Melo Rocha, João SilvaSilva, José Eduardo2021-05-17T18:20:49Zoai:ojs.pkp.sfu.ca:article/15171Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:36:03.750134Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
Modelos matemáticos para cálculo de números primarios: Criterios de enseñanza propuestos para la educación fundamental
Modelos matemáticos para calcular números primos: Proposta de um critério didático para o ensino fundamental
title Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
spellingShingle Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
Brito, Anderson Odair de Melo
Prime numbers
Mersenne
Fermat
Eratosthenes
Elementary school.
Números primos
Mersenne
Fermat
Eratóstenes
Enseñanza fundamental.
Números primos
Mersenne
Fermat
Eratóstenes
Ensino fundamental.
title_short Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
title_full Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
title_fullStr Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
title_full_unstemmed Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
title_sort Mathematical models for calculating primary numbers: Proposed a teaching criteria for fundamental education
author Brito, Anderson Odair de Melo
author_facet Brito, Anderson Odair de Melo
Rocha, João Silva
Silva, José Eduardo
author_role author
author2 Rocha, João Silva
Silva, José Eduardo
author2_role author
author
dc.contributor.author.fl_str_mv Brito, Anderson Odair de Melo
Rocha, João Silva
Silva, José Eduardo
dc.subject.por.fl_str_mv Prime numbers
Mersenne
Fermat
Eratosthenes
Elementary school.
Números primos
Mersenne
Fermat
Eratóstenes
Enseñanza fundamental.
Números primos
Mersenne
Fermat
Eratóstenes
Ensino fundamental.
topic Prime numbers
Mersenne
Fermat
Eratosthenes
Elementary school.
Números primos
Mersenne
Fermat
Eratóstenes
Enseñanza fundamental.
Números primos
Mersenne
Fermat
Eratóstenes
Ensino fundamental.
description In the teaching of mathematics, at the level of Elementary Education, several mathematical contents are developed such as: Integers and Divisibility Criteria, are necessary contents for the development of new mathematical concepts. In this perspective, this research proposed to reflect on the development of calculations to find Sequenced Prime Numbers, based on the proposals of mathematicians Pierre de Fermat, Marin Mersenne and Eratosthenes. Thus, the research aims to propose a mathematical criterion to find Prime Sequenced Numbers in a more practical way for teaching elementary school students. Therefore, a bibliographic survey was carried out through the Google Scholar platform, considering the publication period between 2017-2021, totaling twenty articles, eight books and a monograph, selected due to their relevance to the theme. The results showed that the approach to prime numbers is verified in several thematic axes, such as mathematics and prime numbers, in addition to referring to the complexity in mathematical development for the calculations. After the demonstration of the proposed criterion and its comparison with the models of Fermat, Mersenne and Eratóstenes, it is evident that the proposal fits into a didactic for the mathematics classes, being easy for students to understand, practical and efficient for teaching calculating how to find sequenced prime numbers.
publishDate 2021
dc.date.none.fl_str_mv 2021-05-09
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/15171
10.33448/rsd-v10i5.15171
url https://rsdjournal.org/index.php/rsd/article/view/15171
identifier_str_mv 10.33448/rsd-v10i5.15171
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/15171/13482
dc.rights.driver.fl_str_mv Copyright (c) 2021 Anderson Odair de Melo Brito; João Silva Rocha; José Eduardo Silva
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 Anderson Odair de Melo Brito; João Silva Rocha; José Eduardo Silva
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 10 No. 5; e35910515171
Research, Society and Development; Vol. 10 Núm. 5; e35910515171
Research, Society and Development; v. 10 n. 5; e35910515171
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
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)
repository.mail.fl_str_mv rsd.articles@gmail.com
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