Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school

Detalhes bibliográficos
Autor(a) principal: da Silva, Eliane Siviero
Data de Publicação: 2018
Outros Autores: Trivizoli, Lucieli Maria
Tipo de documento: Artigo
Idioma: por
Título da fonte: Actio (Curitiba)
Texto Completo: https://periodicos.utfpr.edu.br/actio/article/view/7704
Resumo: The article presents the results of a master's research developed in the Graduate program in Education for science and Mathematics of the State University of Maringá - UEM, concluded in the year 2017. The work intended to investigate the potential of the history of mathematics in early years of elementary education from the use of an activity on numbering systems. An activity was carried out with pupils of the fourth year of elementary school of a public schools located in the municipality of Moreira Sales – Paraná, considering properties of the Mayan, Chinese and Indo-Arabic numbering systems. Through this implementation we pursued to identify the pedagogical potentials of the history of mathematics described by Antonio Miguel and Maria Angela Miorim in the book " História na Educação Matemática: propostas e desafios " (2011) that were highlighted during the activity. Three categories of analysis were created related to the potential of the material worked for the teacher, for the student and for the teaching and learning process of mathematics. Some of the potential identified in the implementation were: the historical approach as a source of selection of sequences and appropriate methods of teaching for different topics of school mathematics; the historical approach also was shown as a search source, understanding and meaning for the teaching and learning of school mathematics nowadays. The activity implemented showed a pedagogical instrument with the potential to work with the numbering systems, as it enabled the pupils to work with the characteristics of each of the numbering systems, compare the similarities and differences among them, all this with the support of the hands-on material that made the activity more playful to students, in this way, the use of historical information was presented as an appropriate sequence of teaching for this mathematical topic.
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spelling Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary schoolAtividade sobre sistemas de numeração baseada em informações históricas: uma proposta de ensino para os anos iniciais do ensino fundamentalCiências Exatas e da Terra, MatemáticaHistória na Educação Matemática; Sistema de numeração; Anos Iniciais.History in mathematical education; Numbering system Early yearsThe article presents the results of a master's research developed in the Graduate program in Education for science and Mathematics of the State University of Maringá - UEM, concluded in the year 2017. The work intended to investigate the potential of the history of mathematics in early years of elementary education from the use of an activity on numbering systems. An activity was carried out with pupils of the fourth year of elementary school of a public schools located in the municipality of Moreira Sales – Paraná, considering properties of the Mayan, Chinese and Indo-Arabic numbering systems. Through this implementation we pursued to identify the pedagogical potentials of the history of mathematics described by Antonio Miguel and Maria Angela Miorim in the book " História na Educação Matemática: propostas e desafios " (2011) that were highlighted during the activity. Three categories of analysis were created related to the potential of the material worked for the teacher, for the student and for the teaching and learning process of mathematics. Some of the potential identified in the implementation were: the historical approach as a source of selection of sequences and appropriate methods of teaching for different topics of school mathematics; the historical approach also was shown as a search source, understanding and meaning for the teaching and learning of school mathematics nowadays. The activity implemented showed a pedagogical instrument with the potential to work with the numbering systems, as it enabled the pupils to work with the characteristics of each of the numbering systems, compare the similarities and differences among them, all this with the support of the hands-on material that made the activity more playful to students, in this way, the use of historical information was presented as an appropriate sequence of teaching for this mathematical topic.O artigo apresenta os resultados de uma pesquisa de mestrado desenvolvida no Programa de Pós-Graduação em Educação para a Ciência e a Matemática da Universidade Estadual de Maringá – UEM, finalizada no ano de 2017. O trabalho teve como objetivo investigar as potencialidades da História da Matemática nos anos iniciais do Ensino Fundamental a partir da aplicação de uma atividade sobre sistemas de numeração. Foi realizada uma atividade com alunos do 4º ano do Ensino Fundamental de uma escola pública localizada no município de Moreira Sales – Paraná, envolvendo propriedades dos sistemas de numeração maia, chinês e o indo-arábico. Por meio dessa implementação buscamos identificar as potencialidades pedagógicas da História da Matemática descritas por Antonio Miguel e Maria Ângela Miorim no livro “História na Educação Matemática: propostas e desafios” (2011) que se evidenciaram na realização da atividade. Para isso, foram criadas três categorias de análise relacionadas ao potencial do material trabalhado para o professor, para o aluno e para o processo de ensino e aprendizagem da Matemática. Algumas das potencialidades identificadas na proposta realizada foram: a abordagem histórica como fonte de seleção de sequências e métodos adequados de ensino para diferentes tópicos da Matemática escolar; a abordagem histórica também se mostrou fonte de busca, compreensão e de significação para o ensino e aprendizagem da Matemática escolar na atualidade. A atividade elaborada se mostrou um material pedagógico com potencial para o trabalho com os sistemas de numeração, uma vez que possibilitou aos alunos tralharem com as características de cada um dos sistemas de numeração, comparando as semelhanças e diferenças entre eles, tudo isso com o apoio do material manipulável que tornou a atividade mais lúdica aos estudantes, dessa forma, o uso das informações históricas se apresentou como uma sequência adequada de ensino para este tópico matemático.Universidade Tecnológica Federal do Paraná (UTFPR)da Silva, Eliane SivieroTrivizoli, Lucieli Maria2018-11-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionDossiê Temáticoapplication/pdftext/htmlhttps://periodicos.utfpr.edu.br/actio/article/view/770410.3895/actio.v3n3.7704ACTIO: Teaching in Sciences; v. 3, n. 3 (2018); 336-357ACTIO: Docência em Ciências; v. 3, n. 3 (2018); 336-3572525-892310.3895/actio.v3n3reponame:Actio (Curitiba)instname:Universidade Tecnológica Federal do Paraná (UTFPR)instacron:UTFPRporhttps://periodicos.utfpr.edu.br/actio/article/view/7704/5754https://periodicos.utfpr.edu.br/actio/article/view/7704/5755Direitos autorais 2018 CC-BYhttp://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccess2022-10-18T23:54:01Zoai:periodicos.utfpr:article/7704Revistahttps://periodicos.utfpr.edu.br/actio/PUBhttps://periodicos.utfpr.edu.br/actio/oaimarcelolambach@utfpr.edu.br||actio-ct@utfpr.edu.br||periodicos@utfpr.edu.br2525-89232525-8923opendoar:2022-10-18T23:54:01Actio (Curitiba) - Universidade Tecnológica Federal do Paraná (UTFPR)false
dc.title.none.fl_str_mv Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
Atividade sobre sistemas de numeração baseada em informações históricas: uma proposta de ensino para os anos iniciais do ensino fundamental
title Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
spellingShingle Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
da Silva, Eliane Siviero
Ciências Exatas e da Terra, Matemática
História na Educação Matemática; Sistema de numeração; Anos Iniciais.
History in mathematical education; Numbering system Early years
title_short Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
title_full Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
title_fullStr Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
title_full_unstemmed Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
title_sort Activity on numbering systems based on historical information: a teaching proposal for the early years of elementary school
author da Silva, Eliane Siviero
author_facet da Silva, Eliane Siviero
Trivizoli, Lucieli Maria
author_role author
author2 Trivizoli, Lucieli Maria
author2_role author
dc.contributor.none.fl_str_mv

dc.contributor.author.fl_str_mv da Silva, Eliane Siviero
Trivizoli, Lucieli Maria
dc.subject.por.fl_str_mv Ciências Exatas e da Terra, Matemática
História na Educação Matemática; Sistema de numeração; Anos Iniciais.
History in mathematical education; Numbering system Early years
topic Ciências Exatas e da Terra, Matemática
História na Educação Matemática; Sistema de numeração; Anos Iniciais.
History in mathematical education; Numbering system Early years
description The article presents the results of a master's research developed in the Graduate program in Education for science and Mathematics of the State University of Maringá - UEM, concluded in the year 2017. The work intended to investigate the potential of the history of mathematics in early years of elementary education from the use of an activity on numbering systems. An activity was carried out with pupils of the fourth year of elementary school of a public schools located in the municipality of Moreira Sales – Paraná, considering properties of the Mayan, Chinese and Indo-Arabic numbering systems. Through this implementation we pursued to identify the pedagogical potentials of the history of mathematics described by Antonio Miguel and Maria Angela Miorim in the book " História na Educação Matemática: propostas e desafios " (2011) that were highlighted during the activity. Three categories of analysis were created related to the potential of the material worked for the teacher, for the student and for the teaching and learning process of mathematics. Some of the potential identified in the implementation were: the historical approach as a source of selection of sequences and appropriate methods of teaching for different topics of school mathematics; the historical approach also was shown as a search source, understanding and meaning for the teaching and learning of school mathematics nowadays. The activity implemented showed a pedagogical instrument with the potential to work with the numbering systems, as it enabled the pupils to work with the characteristics of each of the numbering systems, compare the similarities and differences among them, all this with the support of the hands-on material that made the activity more playful to students, in this way, the use of historical information was presented as an appropriate sequence of teaching for this mathematical topic.
publishDate 2018
dc.date.none.fl_str_mv 2018-11-27
dc.type.none.fl_str_mv

dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Dossiê Temático
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.utfpr.edu.br/actio/article/view/7704
10.3895/actio.v3n3.7704
url https://periodicos.utfpr.edu.br/actio/article/view/7704
identifier_str_mv 10.3895/actio.v3n3.7704
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.utfpr.edu.br/actio/article/view/7704/5754
https://periodicos.utfpr.edu.br/actio/article/view/7704/5755
dc.rights.driver.fl_str_mv Direitos autorais 2018 CC-BY
http://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Direitos autorais 2018 CC-BY
http://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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dc.publisher.none.fl_str_mv Universidade Tecnológica Federal do Paraná (UTFPR)
publisher.none.fl_str_mv Universidade Tecnológica Federal do Paraná (UTFPR)
dc.source.none.fl_str_mv ACTIO: Teaching in Sciences; v. 3, n. 3 (2018); 336-357
ACTIO: Docência em Ciências; v. 3, n. 3 (2018); 336-357
2525-8923
10.3895/actio.v3n3
reponame:Actio (Curitiba)
instname:Universidade Tecnológica Federal do Paraná (UTFPR)
instacron:UTFPR
instname_str Universidade Tecnológica Federal do Paraná (UTFPR)
instacron_str UTFPR
institution UTFPR
reponame_str Actio (Curitiba)
collection Actio (Curitiba)
repository.name.fl_str_mv Actio (Curitiba) - Universidade Tecnológica Federal do Paraná (UTFPR)
repository.mail.fl_str_mv marcelolambach@utfpr.edu.br||actio-ct@utfpr.edu.br||periodicos@utfpr.edu.br
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