Algebra in the early years of Elementary School: possible theoretical and practical connections

Detalhes bibliográficos
Autor(a) principal: Kuhn, Malcus Cassiano
Data de Publicação: 2021
Outros Autores: Schöninger, Juliana Aparecida
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista de Ensino de Ciências e Matemática - REnCiMa
Texto Completo: https://revistapos.cruzeirodosul.edu.br/rencima/article/view/3162
Resumo: The paper aims to present possible theoretical and practical connections for teaching algebra in the early years of Elementary School (ES). It has a qualitative approach, developed from a documental study of the Parâmetros Curriculares Nacionais (PCN) and the Base Nacional Comum Curricular (BNCC). In the PCN, the algebra was one of the contents of the Numbers and Operations block and its explicit approach in the Middle School. The Base document presents Algebra as one of the five thematic units of Mathematics, proposing to work on it since the 1st year of ES. Through investigative activities and problem solving, the study of: figural and numerical patterns is recommended; recursive and repetitive sequences involving numbers, objects or figures; relations and properties of equality in addition, subtraction, multiplication and division operations with natural numbers; inverse relations between addition and subtraction and between multiplication and division; directly proportional quantities and partition of a whole into two proportional parts. Given the above, it is suggested that Higher Education institutions promote continuing training on the subject and that teachers seek to participate, in an attempt to bring to the classroom, opportunities for the development of algebraic thinking, since the early years of ES.
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spelling Algebra in the early years of Elementary School: possible theoretical and practical connectionsÁlgebra en los primeros años de la escuela primaria: posibles conexiones teóricas y prácticasÁlgebra nos anos iniciais do Ensino Fundamental: possíveis conexões teóricas e práticasParâmetros Curriculares NacionaisBase Nacional Comum CurricularEnsino de ÁlgebraEnsino FundamentalAnos IniciaisParâmetros Curriculares NacionaisBase Nacional Comum CurricularTeaching AlgebraElementary SchoolEarly YearsParâmetros Curriculares NacionaisBase Nacional Comum CurricularEnseñanza de ÁlgebraEscuela PrimariaPrimeros AñosThe paper aims to present possible theoretical and practical connections for teaching algebra in the early years of Elementary School (ES). It has a qualitative approach, developed from a documental study of the Parâmetros Curriculares Nacionais (PCN) and the Base Nacional Comum Curricular (BNCC). In the PCN, the algebra was one of the contents of the Numbers and Operations block and its explicit approach in the Middle School. The Base document presents Algebra as one of the five thematic units of Mathematics, proposing to work on it since the 1st year of ES. Through investigative activities and problem solving, the study of: figural and numerical patterns is recommended; recursive and repetitive sequences involving numbers, objects or figures; relations and properties of equality in addition, subtraction, multiplication and division operations with natural numbers; inverse relations between addition and subtraction and between multiplication and division; directly proportional quantities and partition of a whole into two proportional parts. Given the above, it is suggested that Higher Education institutions promote continuing training on the subject and that teachers seek to participate, in an attempt to bring to the classroom, opportunities for the development of algebraic thinking, since the early years of ES.El artículo tiene como objetivo presentar posibles conexiones teóricas y prácticas para la enseñanza del álgebra en los primeros años de la Escuela Primaria (EP). Tiene un enfoque cualitativo, desarrollado a partir de un estudio documental de los Parâmetros Curriculares Nacionais (PCN) y la Base Nacional Comum Curricular (BNCC). En PCN, el álgebra fue uno de los contenidos del bloque Números y operaciones y su enfoque explícito en los últimos años de la EP. El documento Base presenta el álgebra como una de las cinco unidades temáticas de Matemáticas, proponiendo trabajar en ella desde el 1er año de la EP. A través de actividades de investigación y resolución de problemas, se recomienda el estudio de: patrones numéricos y figurativos; secuencias recursivas y repetitivas que involucran números, objetos o figuras; relaciones y propiedades de igualdad en operaciones de suma, resta, multiplicación y división con números naturales; relaciones inversas entre suma y resta y entre multiplicación y división; cantidades directamente proporcionales y partición de un todo en dos partes proporcionales. Dado lo anterior, se sugiere que las instituciones de educación superior promuevan la formación continua en la materia y que los profesores busquen participar, en un intento de traer al aula, oportunidades para el desarrollo del pensamiento algebraico, desde los primeros años de la EP.O artigo tem por objetivo apresentar possíveis conexões teóricas e práticas para o ensino de álgebra nos anos iniciais do Ensino Fundamental (EF). Possui abordagem qualitativa, desenvolvida a partir de um estudo documental dos Parâmetros Curriculares Nacionais (PCN) e da Base Nacional Comum Curricular (BNCC). Nos PCN, a álgebra compunha um dos conteúdos do bloco Números e Operações e sua abordagem explícita nos anos finais do EF. O documento da Base apresenta a álgebra como uma das cinco unidades temáticas da Matemática, propondo trabalhá-la desde o 1º ano do EF. Por meio de atividades investigativas e da resolução de problemas, é indicado o estudo de: padrões figurais e numéricos; sequências recursivas e repetitivas envolvendo números, objetos ou figuras; relações e propriedades da igualdade em operações de adição, subtração, multiplicação e divisão com números naturais; relações inversas entre adição e subtração e entre multiplicação e divisão; grandezas diretamente proporcionais e partição de um todo em duas partes proporcionais. Diante do exposto, sugere-se que as instituições de Ensino Superior promovam formações continuadas sobre a temática e que os professores busquem participar, na tentativa de levar para sala de aula, oportunidades de desenvolvimento do pensamento algébrico desde os primeiros anos do EF.Editora Cruzeiro do Sul2021-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/316210.26843/rencima.v12n6a01Revista de Ensino de Ciências e Matemática; v. 12 n. 6 (2021): out./dez.; 1-202179-426Xreponame:Revista de Ensino de Ciências e Matemática - REnCiMainstname:Universidade de Caxias do Sul (UCS)instacron:UCSporhttps://revistapos.cruzeirodosul.edu.br/rencima/article/view/3162/1664https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessKuhn, Malcus CassianoSchöninger, Juliana Aparecida2023-05-13T21:41:38Zoai:ojs.pkp.sfu.ca:article/3162Revistahttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/indexPRIhttps://revistapos.cruzeirodosul.edu.br/index.php/rencima/oai||rencima@cruzeirodosul.edu.br2179-426X2179-426Xopendoar:2023-05-13T21:41:38Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)false
dc.title.none.fl_str_mv Algebra in the early years of Elementary School: possible theoretical and practical connections
Álgebra en los primeros años de la escuela primaria: posibles conexiones teóricas y prácticas
Álgebra nos anos iniciais do Ensino Fundamental: possíveis conexões teóricas e práticas
title Algebra in the early years of Elementary School: possible theoretical and practical connections
spellingShingle Algebra in the early years of Elementary School: possible theoretical and practical connections
Kuhn, Malcus Cassiano
Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Ensino de Álgebra
Ensino Fundamental
Anos Iniciais
Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Teaching Algebra
Elementary School
Early Years
Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Enseñanza de Álgebra
Escuela Primaria
Primeros Años
title_short Algebra in the early years of Elementary School: possible theoretical and practical connections
title_full Algebra in the early years of Elementary School: possible theoretical and practical connections
title_fullStr Algebra in the early years of Elementary School: possible theoretical and practical connections
title_full_unstemmed Algebra in the early years of Elementary School: possible theoretical and practical connections
title_sort Algebra in the early years of Elementary School: possible theoretical and practical connections
author Kuhn, Malcus Cassiano
author_facet Kuhn, Malcus Cassiano
Schöninger, Juliana Aparecida
author_role author
author2 Schöninger, Juliana Aparecida
author2_role author
dc.contributor.author.fl_str_mv Kuhn, Malcus Cassiano
Schöninger, Juliana Aparecida
dc.subject.por.fl_str_mv Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Ensino de Álgebra
Ensino Fundamental
Anos Iniciais
Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Teaching Algebra
Elementary School
Early Years
Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Enseñanza de Álgebra
Escuela Primaria
Primeros Años
topic Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Ensino de Álgebra
Ensino Fundamental
Anos Iniciais
Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Teaching Algebra
Elementary School
Early Years
Parâmetros Curriculares Nacionais
Base Nacional Comum Curricular
Enseñanza de Álgebra
Escuela Primaria
Primeros Años
description The paper aims to present possible theoretical and practical connections for teaching algebra in the early years of Elementary School (ES). It has a qualitative approach, developed from a documental study of the Parâmetros Curriculares Nacionais (PCN) and the Base Nacional Comum Curricular (BNCC). In the PCN, the algebra was one of the contents of the Numbers and Operations block and its explicit approach in the Middle School. The Base document presents Algebra as one of the five thematic units of Mathematics, proposing to work on it since the 1st year of ES. Through investigative activities and problem solving, the study of: figural and numerical patterns is recommended; recursive and repetitive sequences involving numbers, objects or figures; relations and properties of equality in addition, subtraction, multiplication and division operations with natural numbers; inverse relations between addition and subtraction and between multiplication and division; directly proportional quantities and partition of a whole into two proportional parts. Given the above, it is suggested that Higher Education institutions promote continuing training on the subject and that teachers seek to participate, in an attempt to bring to the classroom, opportunities for the development of algebraic thinking, since the early years of ES.
publishDate 2021
dc.date.none.fl_str_mv 2021-10-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
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dc.identifier.uri.fl_str_mv https://revistapos.cruzeirodosul.edu.br/rencima/article/view/3162
10.26843/rencima.v12n6a01
url https://revistapos.cruzeirodosul.edu.br/rencima/article/view/3162
identifier_str_mv 10.26843/rencima.v12n6a01
dc.language.iso.fl_str_mv por
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dc.relation.none.fl_str_mv https://revistapos.cruzeirodosul.edu.br/rencima/article/view/3162/1664
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Editora Cruzeiro do Sul
publisher.none.fl_str_mv Editora Cruzeiro do Sul
dc.source.none.fl_str_mv Revista de Ensino de Ciências e Matemática; v. 12 n. 6 (2021): out./dez.; 1-20
2179-426X
reponame:Revista de Ensino de Ciências e Matemática - REnCiMa
instname:Universidade de Caxias do Sul (UCS)
instacron:UCS
instname_str Universidade de Caxias do Sul (UCS)
instacron_str UCS
institution UCS
reponame_str Revista de Ensino de Ciências e Matemática - REnCiMa
collection Revista de Ensino de Ciências e Matemática - REnCiMa
repository.name.fl_str_mv Revista de Ensino de Ciências e Matemática - REnCiMa - Universidade de Caxias do Sul (UCS)
repository.mail.fl_str_mv ||rencima@cruzeirodosul.edu.br
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