Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student

Detalhes bibliográficos
Autor(a) principal: Santos, Andressa Gomes dos
Data de Publicação: 2022
Outros Autores: Pereira, Ana Carolina Costa
Tipo de documento: Artigo
Idioma: por
Título da fonte: Alexandria (Florianópolis)
Texto Completo: https://periodicos.ufsc.br/index.php/alexandria/article/view/83741
Resumo: With the intention of articulating the history and teaching of mathematics through an interface between these two fields, the treatise The description and vse of the Sector, the Crosse-staffe, and other instruments, for such as are studious of Mathematicall practice, specifically, selecting it as a resource the scale of numbers inscribed in the Cross-staff presented in this document. Considering the construction of an interface and the Theory of Objectification (TO) for the elaboration of an activity involving the scale of numbers, we sought to discuss the mathematical aspects that can be potentially didactic, which emerge from the problems of a task that deals with the regarding the manipulation of the scale of numbers to obtain a proportional average, characterizing the research as documentary. A study was carried out based on the mathematical issues involved in the use of the scale to find a proportional average given two numbers and from the task some didactic possibilities aimed at teacher training were highlighted. It was concluded that the task provides the teaching of logarithm, geometric progression and geometric constructions, being able to make possible an autonomy of the future teacher to approach these subjects in different ways in the classroom.
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spelling Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student Potencialidades didáticas da manipulação da escala dos números (1623) para a formação do licenciando em matemática Interface entre história e ensinoTeoria da objetivaçãoMédia proporcionalInterface between history and teachingObjectification theoryProportional averageWith the intention of articulating the history and teaching of mathematics through an interface between these two fields, the treatise The description and vse of the Sector, the Crosse-staffe, and other instruments, for such as are studious of Mathematicall practice, specifically, selecting it as a resource the scale of numbers inscribed in the Cross-staff presented in this document. Considering the construction of an interface and the Theory of Objectification (TO) for the elaboration of an activity involving the scale of numbers, we sought to discuss the mathematical aspects that can be potentially didactic, which emerge from the problems of a task that deals with the regarding the manipulation of the scale of numbers to obtain a proportional average, characterizing the research as documentary. A study was carried out based on the mathematical issues involved in the use of the scale to find a proportional average given two numbers and from the task some didactic possibilities aimed at teacher training were highlighted. It was concluded that the task provides the teaching of logarithm, geometric progression and geometric constructions, being able to make possible an autonomy of the future teacher to approach these subjects in different ways in the classroom.Com a intenção de articular a história e o ensino de matemática por meio de uma interface entre esses dois campos, escolheu-se o tratado The description and vse of the Sector, the Crosse-staffe, and other instruments, for such as are studious of Mathematicall practise, especificamente, selecionando como recurso a escala dos números inscrita no Cross-staff, apresentado nesse documento. Considerando a construção de interface e a Teoria da Objetivação (TO) para a elaboração de uma atividade envolvendo a escala dos números, buscou-se discutir os aspectos matemáticos que podem ser potencialmente didáticos, que emergem a partir dos problemas de uma tarefa que trata a respeito da manipulação da escala dos números para obter-se uma média proporcional, caracterizando a pesquisa como documental. Foi feito um estudo pautado nas questões matemáticas envoltas no uso da escala para encontrar uma média proporcional dados dois números e, através da tarefa, destacaram-se algumas potencialidades didáticas direcionadas para a formação de professores. Concluiu-se que a tarefa proporciona o ensino de logaritmo, de progressão geométrica e de construções geométricas, podendo viabilizar uma autonomia do futuro professor em abordar esses assuntos de maneiras diferentes em sala de aula.Universidade Federal de Santa Catarina2022-11-29info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/alexandria/article/view/8374110.5007/1982-5153.2022.e83741Alexandria: Revista de Educação em Ciência e Tecnologia; v. 15 n. 2 (2022); 189-2081982-5153reponame:Alexandria (Florianópolis)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCporhttps://periodicos.ufsc.br/index.php/alexandria/article/view/83741/51844http://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessSantos, Andressa Gomes dos Pereira, Ana Carolina Costa2022-11-29T22:39:13Zoai:periodicos.ufsc.br:article/83741Revistahttps://periodicos.ufsc.br/index.php/alexandria/oai1982-51531982-5153opendoar:2022-11-29T22:39:13Alexandria (Florianópolis) - Universidade Federal de Santa Catarina (UFSC)false
dc.title.none.fl_str_mv Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
Potencialidades didáticas da manipulação da escala dos números (1623) para a formação do licenciando em matemática
title Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
spellingShingle Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
Santos, Andressa Gomes dos
Interface entre história e ensino
Teoria da objetivação
Média proporcional
Interface between history and teaching
Objectification theory
Proportional average
title_short Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
title_full Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
title_fullStr Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
title_full_unstemmed Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
title_sort Didactic potentials of manipulation of the number scale (1623) for the formation of the mathematics student
author Santos, Andressa Gomes dos
author_facet Santos, Andressa Gomes dos
Pereira, Ana Carolina Costa
author_role author
author2 Pereira, Ana Carolina Costa
author2_role author
dc.contributor.author.fl_str_mv Santos, Andressa Gomes dos
Pereira, Ana Carolina Costa
dc.subject.por.fl_str_mv Interface entre história e ensino
Teoria da objetivação
Média proporcional
Interface between history and teaching
Objectification theory
Proportional average
topic Interface entre história e ensino
Teoria da objetivação
Média proporcional
Interface between history and teaching
Objectification theory
Proportional average
description With the intention of articulating the history and teaching of mathematics through an interface between these two fields, the treatise The description and vse of the Sector, the Crosse-staffe, and other instruments, for such as are studious of Mathematicall practice, specifically, selecting it as a resource the scale of numbers inscribed in the Cross-staff presented in this document. Considering the construction of an interface and the Theory of Objectification (TO) for the elaboration of an activity involving the scale of numbers, we sought to discuss the mathematical aspects that can be potentially didactic, which emerge from the problems of a task that deals with the regarding the manipulation of the scale of numbers to obtain a proportional average, characterizing the research as documentary. A study was carried out based on the mathematical issues involved in the use of the scale to find a proportional average given two numbers and from the task some didactic possibilities aimed at teacher training were highlighted. It was concluded that the task provides the teaching of logarithm, geometric progression and geometric constructions, being able to make possible an autonomy of the future teacher to approach these subjects in different ways in the classroom.
publishDate 2022
dc.date.none.fl_str_mv 2022-11-29
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://periodicos.ufsc.br/index.php/alexandria/article/view/83741
10.5007/1982-5153.2022.e83741
url https://periodicos.ufsc.br/index.php/alexandria/article/view/83741
identifier_str_mv 10.5007/1982-5153.2022.e83741
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufsc.br/index.php/alexandria/article/view/83741/51844
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Santa Catarina
publisher.none.fl_str_mv Universidade Federal de Santa Catarina
dc.source.none.fl_str_mv Alexandria: Revista de Educação em Ciência e Tecnologia; v. 15 n. 2 (2022); 189-208
1982-5153
reponame:Alexandria (Florianópolis)
instname:Universidade Federal de Santa Catarina (UFSC)
instacron:UFSC
instname_str Universidade Federal de Santa Catarina (UFSC)
instacron_str UFSC
institution UFSC
reponame_str Alexandria (Florianópolis)
collection Alexandria (Florianópolis)
repository.name.fl_str_mv Alexandria (Florianópolis) - Universidade Federal de Santa Catarina (UFSC)
repository.mail.fl_str_mv
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