Epistemology and rationality of intuition and imagination in the field of mathematics
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Data de Publicação: | 2020 |
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Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista Pesquisa Qualitativa (Online) |
Texto Completo: | https://editora.sepq.org.br/rpq/article/view/342 |
Resumo: | This paper aims to contribute to the clarification of the role of mathematical intuition and imagination in the constitution of mathematical knowledge, evidencing its epistemological and procedural characteristics. For that, an "epistemology of intuition and imagination" in the field of mathematics is outlined (suggested) emphasizing the need to adopt a dynamic conception of mathematics. In this context, intuition and imagination present themselves as forms of mathematical experience that give access, through paths that are not purely logical, to mathematical knowledge. Its epistemological and rationality characteristics, a rational of a non-logical nature, are highlighted by several examples, resources for moving the ideas involved. The epistemological study of intuition and imagination also allows highlighting its ontology, constituted of more relations than objects. From the pedagogical point of view, we discuss the formative character of philosophical studies involving intuition and imagination, mainly related to creativity in mathematics. Keywords: Mathematical knowledge; Mathematical experience; Epistemology of intuition and imagination; Creativity in mathematics. |
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Epistemology and rationality of intuition and imagination in the field of mathematicsEpistemologia e racionalidade da intuição e da imaginação no campo da matemáticaThis paper aims to contribute to the clarification of the role of mathematical intuition and imagination in the constitution of mathematical knowledge, evidencing its epistemological and procedural characteristics. For that, an "epistemology of intuition and imagination" in the field of mathematics is outlined (suggested) emphasizing the need to adopt a dynamic conception of mathematics. In this context, intuition and imagination present themselves as forms of mathematical experience that give access, through paths that are not purely logical, to mathematical knowledge. Its epistemological and rationality characteristics, a rational of a non-logical nature, are highlighted by several examples, resources for moving the ideas involved. The epistemological study of intuition and imagination also allows highlighting its ontology, constituted of more relations than objects. From the pedagogical point of view, we discuss the formative character of philosophical studies involving intuition and imagination, mainly related to creativity in mathematics. Keywords: Mathematical knowledge; Mathematical experience; Epistemology of intuition and imagination; Creativity in mathematics.Este artigo visa contribuir ao esclarecimento do papel da intuição e da imaginação matemáticas na constituição do conhecimento matemático, evidenciando suas características epistemológicas e procedimentais. Para tanto, uma “epistemologia da intuição e da imaginação” no campo da matemática é esboçada (sugerida) enfatizando a necessidade de adotar uma concepção dinâmica de matemática. Nesse contexto, a intuição e a imaginação são apresentadas como formas de experiência matemática que dão acesso, através de caminhos não puramente lógicos, ao conhecimento matemático. Suas características epistemológicas e de racionalidade, um racional de natureza não lógica, são evidenciadas por meio de diversos exemplos, fontes que movimentam as ideias envolvidas. O estudo epistemológico da intuição e da imaginação permite também evidenciar sua ontologia, constituída esta mais de relações do que de objetos. Do ponto de vista pedagógico, discutimos o caráter formativo dos estudos filosóficos, envolvendo intuição e imaginação, principalmente relacionado com a criatividade em matemática. Palavras-chave: Conhecimento matemático; Experiência matemática; Epistemologia da intuição e da imaginação; Criatividade em matemática.Sociedade de Estudos e Pesquisas Qualitativos - SE&PQ2020-10-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://editora.sepq.org.br/rpq/article/view/34210.33361/RPQ.2020.v.8.n.18.342Qualitative Research Journal ; Vol. 8 No. 18 (2020): Special Number: Philosophy of Mathematics; 503-523Revista Pesquisa Qualitativa; v. 8 n. 18 (2020): Edição Especial: Filosofia da Matemática; 503-5232525-82221809-025710.33361/RPQ.v.8.n.18reponame:Revista Pesquisa Qualitativa (Online)instname:Sociedade Brasileira de Estudos e Pesquisa Qualitativos (SE&PQ)instacron:SE&PQenghttps://editora.sepq.org.br/rpq/article/view/342/216Copyright (c) 2020 Revista Pesquisa Qualitativahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessCifuentes, José Carlos Gusmão, Lucimar Donizete 2022-01-29T23:21:45Zoai:editora.sepq.org.br:article/342Revistahttps://editora.sepq.org.br/index.php/rpq/indexONGhttps://editora.sepq.org.br/index.php/rpq/oai||revista.rpq@gmail.com2525-82221809-0257opendoar:2022-01-29T23:21:45Revista Pesquisa Qualitativa (Online) - Sociedade Brasileira de Estudos e Pesquisa Qualitativos (SE&PQ)false |
dc.title.none.fl_str_mv |
Epistemology and rationality of intuition and imagination in the field of mathematics Epistemologia e racionalidade da intuição e da imaginação no campo da matemática |
title |
Epistemology and rationality of intuition and imagination in the field of mathematics |
spellingShingle |
Epistemology and rationality of intuition and imagination in the field of mathematics Cifuentes, José Carlos |
title_short |
Epistemology and rationality of intuition and imagination in the field of mathematics |
title_full |
Epistemology and rationality of intuition and imagination in the field of mathematics |
title_fullStr |
Epistemology and rationality of intuition and imagination in the field of mathematics |
title_full_unstemmed |
Epistemology and rationality of intuition and imagination in the field of mathematics |
title_sort |
Epistemology and rationality of intuition and imagination in the field of mathematics |
author |
Cifuentes, José Carlos |
author_facet |
Cifuentes, José Carlos Gusmão, Lucimar Donizete |
author_role |
author |
author2 |
Gusmão, Lucimar Donizete |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Cifuentes, José Carlos Gusmão, Lucimar Donizete |
description |
This paper aims to contribute to the clarification of the role of mathematical intuition and imagination in the constitution of mathematical knowledge, evidencing its epistemological and procedural characteristics. For that, an "epistemology of intuition and imagination" in the field of mathematics is outlined (suggested) emphasizing the need to adopt a dynamic conception of mathematics. In this context, intuition and imagination present themselves as forms of mathematical experience that give access, through paths that are not purely logical, to mathematical knowledge. Its epistemological and rationality characteristics, a rational of a non-logical nature, are highlighted by several examples, resources for moving the ideas involved. The epistemological study of intuition and imagination also allows highlighting its ontology, constituted of more relations than objects. From the pedagogical point of view, we discuss the formative character of philosophical studies involving intuition and imagination, mainly related to creativity in mathematics. Keywords: Mathematical knowledge; Mathematical experience; Epistemology of intuition and imagination; Creativity in mathematics. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-10-07 |
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://editora.sepq.org.br/rpq/article/view/342 10.33361/RPQ.2020.v.8.n.18.342 |
url |
https://editora.sepq.org.br/rpq/article/view/342 |
identifier_str_mv |
10.33361/RPQ.2020.v.8.n.18.342 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://editora.sepq.org.br/rpq/article/view/342/216 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2020 Revista Pesquisa Qualitativa https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2020 Revista Pesquisa Qualitativa https://creativecommons.org/licenses/by/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Sociedade de Estudos e Pesquisas Qualitativos - SE&PQ |
publisher.none.fl_str_mv |
Sociedade de Estudos e Pesquisas Qualitativos - SE&PQ |
dc.source.none.fl_str_mv |
Qualitative Research Journal ; Vol. 8 No. 18 (2020): Special Number: Philosophy of Mathematics; 503-523 Revista Pesquisa Qualitativa; v. 8 n. 18 (2020): Edição Especial: Filosofia da Matemática; 503-523 2525-8222 1809-0257 10.33361/RPQ.v.8.n.18 reponame:Revista Pesquisa Qualitativa (Online) instname:Sociedade Brasileira de Estudos e Pesquisa Qualitativos (SE&PQ) instacron:SE&PQ |
instname_str |
Sociedade Brasileira de Estudos e Pesquisa Qualitativos (SE&PQ) |
instacron_str |
SE&PQ |
institution |
SE&PQ |
reponame_str |
Revista Pesquisa Qualitativa (Online) |
collection |
Revista Pesquisa Qualitativa (Online) |
repository.name.fl_str_mv |
Revista Pesquisa Qualitativa (Online) - Sociedade Brasileira de Estudos e Pesquisa Qualitativos (SE&PQ) |
repository.mail.fl_str_mv |
||revista.rpq@gmail.com |
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