The collective constrution of infinites series by Leibniz and Newton

Detalhes bibliográficos
Autor(a) principal: Souza, Isis Lidiane Norato
Data de Publicação: 2020
Outros Autores: Aires, Joanez Aparecida
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista Brasileira de Ensino de Ciência e Tecnologia
Texto Completo: https://periodicos.utfpr.edu.br/rbect/article/view/9303
Resumo: The science teaching traditionally presents science products and not the process of construction of scientific knowledge. In this way, students generally receive a scientific education based on the results of already established scientific theories. However, an understanding of nature of science will be absent without an history and without an epistemology that clarifies how scientific facts were constructed. This paper aims to bring a reflection on the collective construction of scientific knowledge. In this way, some correspondences between Leibniz and Newton are analyzed, through which on tries to understand how knowledge was constructed in relation to the infinite series. The emphasis on the collective construction of scientific knowledge is based on the epistemology of Ludwik Fleck (1897-1961), which is based on the perspective that science is a social and collective construction and is therefore not the result of the individual actions of scientists. We used documentary research and data analysis performed through content analysis by Bardin (2016). Finally, as a result, the contributions of other mathematicians, in addition to Newton, to the constitution of a new Style of Thought and consequent influence in mathematical disciplines from the 17th century to the present day, can be characterized by the Fleckian categories Intercollective Circulation of Ideas and Proideias.
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spelling The collective constrution of infinites series by Leibniz and NewtonA construção coletiva sobre as séries infinitas por Leibniz e Newton7.05.06.00-0História da Ciência; Fleck; Séries Infinitas; Newton; LeibnizHistory of Science; Ludwik Fleck; Infinites Series; Newton; LeibnizThe science teaching traditionally presents science products and not the process of construction of scientific knowledge. In this way, students generally receive a scientific education based on the results of already established scientific theories. However, an understanding of nature of science will be absent without an history and without an epistemology that clarifies how scientific facts were constructed. This paper aims to bring a reflection on the collective construction of scientific knowledge. In this way, some correspondences between Leibniz and Newton are analyzed, through which on tries to understand how knowledge was constructed in relation to the infinite series. The emphasis on the collective construction of scientific knowledge is based on the epistemology of Ludwik Fleck (1897-1961), which is based on the perspective that science is a social and collective construction and is therefore not the result of the individual actions of scientists. We used documentary research and data analysis performed through content analysis by Bardin (2016). Finally, as a result, the contributions of other mathematicians, in addition to Newton, to the constitution of a new Style of Thought and consequent influence in mathematical disciplines from the 17th century to the present day, can be characterized by the Fleckian categories Intercollective Circulation of Ideas and Proideias.O Ensino de Ciências, tradicionalmente, apresenta os produtos da ciência em detrimento do processo de construção do conhecimento científico. Ou seja, geralmente os alunos recebem uma educação científica com base nos resultados de teorias científicas já consolidadas. Todavia, uma compreensão sobre a Natureza da Ciência estará ausente sem sua história e sem uma epistemologia que esclareça como os fatos científicos foram construídos. Este trabalho teve como objetivo trazer uma reflexão sobre a construção coletiva em relação às Séries Infinitas. Foi escolhida a epistemologia de Ludwik Fleck (1896- 1961), a qual se fundamenta na perspectiva de que a ciência é uma construção social e não resultado de ações individuais de cientistas. Como método de pesquisa, utilizou-se a pesquisa documental, com perspectiva histórica, tendo como fontes primárias as correspondências da Royal Society de Londres de 1676. As análises de dados foram realizadas por meio da análise de conteúdo de Bardin (2016). Como resultado, considerase as contribuições de outros matemáticos, além de Newton, para a constituição de um novo Estilo de Pensamento e consequente influência das disciplinas matemáticas desde o século XVII até os dias de hoje, podem ser caracterizadas pelos conceitos fleckianos de Circulação Intercoletiva de Ideias e Proideias (ou Pre-ideias).Universidade Tecnológica Federal do Paraná (UTFPR)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Souza, Isis Lidiane NoratoAires, Joanez Aparecida2020-12-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.utfpr.edu.br/rbect/article/view/930310.3895/rbect.v13n3.9303Revista Brasileira de Ensino de Ciência e Tecnologia; v. 13, n. 3 (2020)1982-873X10.3895/rbect.v13n3reponame:Revista Brasileira de Ensino de Ciência e Tecnologiainstname:Universidade Tecnológica Federal do Paraná (UTFPR)instacron:UTFPRporhttps://periodicos.utfpr.edu.br/rbect/article/view/9303/pdfhttps://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1182https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1183https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1184https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1185https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1186https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1187https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1188https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1189https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1190https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1191https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1192https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1193https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1194https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1195https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1196https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1197https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1198https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1199https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1200https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1201https://periodicos.utfpr.edu.br/rbect/article/downloadSuppFile/9303/1202Direitos autorais 2020 CC-BYhttp://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccess2022-09-29T18:41:05Zoai:periodicos.utfpr:article/9303Revistahttps://periodicos.utfpr.edu.br/rbectPUBhttps://periodicos.utfpr.edu.br/rbect/oai||rbect-pg@utfpr.edu.br1982-873X1982-873Xopendoar:2022-09-29T18:41:05Revista Brasileira de Ensino de Ciência e Tecnologia - Universidade Tecnológica Federal do Paraná (UTFPR)false
dc.title.none.fl_str_mv The collective constrution of infinites series by Leibniz and Newton
A construção coletiva sobre as séries infinitas por Leibniz e Newton
title The collective constrution of infinites series by Leibniz and Newton
spellingShingle The collective constrution of infinites series by Leibniz and Newton
Souza, Isis Lidiane Norato
7.05.06.00-0
História da Ciência; Fleck; Séries Infinitas; Newton; Leibniz
History of Science; Ludwik Fleck; Infinites Series; Newton; Leibniz
title_short The collective constrution of infinites series by Leibniz and Newton
title_full The collective constrution of infinites series by Leibniz and Newton
title_fullStr The collective constrution of infinites series by Leibniz and Newton
title_full_unstemmed The collective constrution of infinites series by Leibniz and Newton
title_sort The collective constrution of infinites series by Leibniz and Newton
author Souza, Isis Lidiane Norato
author_facet Souza, Isis Lidiane Norato
Aires, Joanez Aparecida
author_role author
author2 Aires, Joanez Aparecida
author2_role author
dc.contributor.none.fl_str_mv
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.contributor.author.fl_str_mv Souza, Isis Lidiane Norato
Aires, Joanez Aparecida
dc.subject.por.fl_str_mv 7.05.06.00-0
História da Ciência; Fleck; Séries Infinitas; Newton; Leibniz
History of Science; Ludwik Fleck; Infinites Series; Newton; Leibniz
topic 7.05.06.00-0
História da Ciência; Fleck; Séries Infinitas; Newton; Leibniz
History of Science; Ludwik Fleck; Infinites Series; Newton; Leibniz
description The science teaching traditionally presents science products and not the process of construction of scientific knowledge. In this way, students generally receive a scientific education based on the results of already established scientific theories. However, an understanding of nature of science will be absent without an history and without an epistemology that clarifies how scientific facts were constructed. This paper aims to bring a reflection on the collective construction of scientific knowledge. In this way, some correspondences between Leibniz and Newton are analyzed, through which on tries to understand how knowledge was constructed in relation to the infinite series. The emphasis on the collective construction of scientific knowledge is based on the epistemology of Ludwik Fleck (1897-1961), which is based on the perspective that science is a social and collective construction and is therefore not the result of the individual actions of scientists. We used documentary research and data analysis performed through content analysis by Bardin (2016). Finally, as a result, the contributions of other mathematicians, in addition to Newton, to the constitution of a new Style of Thought and consequent influence in mathematical disciplines from the 17th century to the present day, can be characterized by the Fleckian categories Intercollective Circulation of Ideas and Proideias.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-19
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