Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni

Detalhes bibliográficos
Autor(a) principal: Neves, Thais Duarte
Data de Publicação: 2019
Outros Autores: Soares, Flávia dos Santos
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revemop
Texto Completo: https://periodicos.ufop.br/revemop/article/view/1841
Resumo: When looking at textbooks used in Brazil, we notice that the Progressions were present between the contents of Arithmetic and Algebra, oscillating between these fields throughout the nineteenth century. This article is part of a research and aims to investigate how the Progressions were configured in the proposals for the teaching of Mathematics in secondary school in the nineteenth century in textbooks of Algebra and Arithmetic. The textbooks Tratado Elementar de Arithmetica and Tratado de Algebra Elementar written by the Portuguese José Adelino Serrasqueiro and Elementos de Arithmetica e Elementos de Algebra written by the Brazilian Cristiano Benedito Ottoni, were considered for analysis, especially since they were adopted in the Colégio Pedro II, reference institution for Brazilian secondary education during the 19th century.
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spelling Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and OttoniProgresiones Aritmética y Geométrica: visiones a partir de los libros de Aritmética y Álgebra de Serrasqueiro y OttoniProgressões Aritmética e Geométrica: visões a partir dos livros de Aritmética e Álgebra de Serrasqueiro e OttoniColégio Pedro IIHigh schoolProgressionsAdelino SerrasqueiroCristiano OttoniColégio Pedro IIEnseñanza SecundariaProgresionesAdelino SerrasqueiroCristiano OttoniColégio Pedro IIEnsino secundárioProgressõesAdelino SerrasqueiroCristiano OttoniWhen looking at textbooks used in Brazil, we notice that the Progressions were present between the contents of Arithmetic and Algebra, oscillating between these fields throughout the nineteenth century. This article is part of a research and aims to investigate how the Progressions were configured in the proposals for the teaching of Mathematics in secondary school in the nineteenth century in textbooks of Algebra and Arithmetic. The textbooks Tratado Elementar de Arithmetica and Tratado de Algebra Elementar written by the Portuguese José Adelino Serrasqueiro and Elementos de Arithmetica e Elementos de Algebra written by the Brazilian Cristiano Benedito Ottoni, were considered for analysis, especially since they were adopted in the Colégio Pedro II, reference institution for Brazilian secondary education during the 19th century.Al mirar a libros didácticos utilizados en Brasil, se percibe que las Progresiones estuvieron presentes entre los contenidos de Aritmética e de Álgebra, oscilando entre esos campos a lo largo del siglo XIX. Este artículo es un recorte de una investigación y tiene como objetivo investigar de qué forma las Progresiones se configuraron en las propuestas para la enseñanza de Matemáticas en la escuela secundaria en el siglo XIX en obras didácticas de Algebra y de Aritmética. Los libros Tratado Elementar de Arithmetica y Tratado de Algebra Elementar del portugués José Adelino Serrasqueiro y Elementos de Arithmetica y Elementos de Algebra de brasileño Cristiano Benedito Ottoni, se consideraron para el análisis, sobre todo porque han sido adoptadas en el Colegio Pedro II, institución de referencia para la la enseñanza secundaria brasileña durante el siglo XIX.Resumo: Ao olhar para livros didáticos utilizados no Brasil, percebe-se que as Progressões estiveram presentes dentre os conteúdos de Aritmética e de Álgebra, oscilando entre esses campos ao longo do século XIX. Este artigo é um recorte de uma pesquisa e tem como objetivo investigar de que forma as Progressões se configuraram nas propostas para o ensino de Matemática na escola secundária no século XIX em obras didáticas de Álgebra e de Aritmética. Os livros Tratado Elementar de Arithmetica e Tratado de Algebra Elementar do português José Adelino Serrasqueiro e Elementos de Arithmetica e Elementos de Algebra do brasileiro Cristiano Benedito Ottoni, foram considerados para análise, especialmente por terem sido adotados no Colégio Pedro II, instituição referência para o ensino secundário brasileiro durante o século XIX.Editora da UFOP2019-05-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufop.br/revemop/article/view/184110.33532/evemop.v1n2a8Revemop; v. 1 n. 2: maio/ago. 2019; 313 - 3362596-0245reponame:Revemopinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPporhttps://periodicos.ufop.br/revemop/article/view/1841/1513https://periodicos.ufop.br/revemop/article/view/1841/4086https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessNeves, Thais DuarteSoares, Flávia dos Santos2021-05-15T09:53:59Zoai:pp.www.periodicos.ufop.br:article/1841Revistahttps://periodicos.ufop.br/revemop/indexPUBhttps://periodicos.ufop.br/revemop/oairevemop@ufop.edu.br||2596-02452596-0245opendoar:2021-05-15T09:53:59Revemop - Universidade Federal de Ouro Preto (UFOP)false
dc.title.none.fl_str_mv Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
Progresiones Aritmética y Geométrica: visiones a partir de los libros de Aritmética y Álgebra de Serrasqueiro y Ottoni
Progressões Aritmética e Geométrica: visões a partir dos livros de Aritmética e Álgebra de Serrasqueiro e Ottoni
title Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
spellingShingle Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
Neves, Thais Duarte
Colégio Pedro II
High school
Progressions
Adelino Serrasqueiro
Cristiano Ottoni
Colégio Pedro II
Enseñanza Secundaria
Progresiones
Adelino Serrasqueiro
Cristiano Ottoni
Colégio Pedro II
Ensino secundário
Progressões
Adelino Serrasqueiro
Cristiano Ottoni
title_short Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
title_full Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
title_fullStr Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
title_full_unstemmed Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
title_sort Arithmetic and Geometric Progressions: views from the books of Arithmetic and Algebra of Serrasqueiro and Ottoni
author Neves, Thais Duarte
author_facet Neves, Thais Duarte
Soares, Flávia dos Santos
author_role author
author2 Soares, Flávia dos Santos
author2_role author
dc.contributor.author.fl_str_mv Neves, Thais Duarte
Soares, Flávia dos Santos
dc.subject.por.fl_str_mv Colégio Pedro II
High school
Progressions
Adelino Serrasqueiro
Cristiano Ottoni
Colégio Pedro II
Enseñanza Secundaria
Progresiones
Adelino Serrasqueiro
Cristiano Ottoni
Colégio Pedro II
Ensino secundário
Progressões
Adelino Serrasqueiro
Cristiano Ottoni
topic Colégio Pedro II
High school
Progressions
Adelino Serrasqueiro
Cristiano Ottoni
Colégio Pedro II
Enseñanza Secundaria
Progresiones
Adelino Serrasqueiro
Cristiano Ottoni
Colégio Pedro II
Ensino secundário
Progressões
Adelino Serrasqueiro
Cristiano Ottoni
description When looking at textbooks used in Brazil, we notice that the Progressions were present between the contents of Arithmetic and Algebra, oscillating between these fields throughout the nineteenth century. This article is part of a research and aims to investigate how the Progressions were configured in the proposals for the teaching of Mathematics in secondary school in the nineteenth century in textbooks of Algebra and Arithmetic. The textbooks Tratado Elementar de Arithmetica and Tratado de Algebra Elementar written by the Portuguese José Adelino Serrasqueiro and Elementos de Arithmetica e Elementos de Algebra written by the Brazilian Cristiano Benedito Ottoni, were considered for analysis, especially since they were adopted in the Colégio Pedro II, reference institution for Brazilian secondary education during the 19th century.
publishDate 2019
dc.date.none.fl_str_mv 2019-05-01
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://periodicos.ufop.br/revemop/article/view/1841
10.33532/evemop.v1n2a8
url https://periodicos.ufop.br/revemop/article/view/1841
identifier_str_mv 10.33532/evemop.v1n2a8
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufop.br/revemop/article/view/1841/1513
https://periodicos.ufop.br/revemop/article/view/1841/4086
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
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Editora da UFOP
publisher.none.fl_str_mv Editora da UFOP
dc.source.none.fl_str_mv Revemop; v. 1 n. 2: maio/ago. 2019; 313 - 336
2596-0245
reponame:Revemop
instname:Universidade Federal de Ouro Preto (UFOP)
instacron:UFOP
instname_str Universidade Federal de Ouro Preto (UFOP)
instacron_str UFOP
institution UFOP
reponame_str Revemop
collection Revemop
repository.name.fl_str_mv Revemop - Universidade Federal de Ouro Preto (UFOP)
repository.mail.fl_str_mv revemop@ufop.edu.br||
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