THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW

Detalhes bibliográficos
Autor(a) principal: Lacerda, Greice
Data de Publicação: 2022
Tipo de documento: preprint
Idioma: por
Título da fonte: SciELO Preprints
Texto Completo: https://preprints.scielo.org/index.php/scielo/preprint/view/3262
Resumo: With this essay I propose to discuss the following concerns: which conceptions of mathematical knowledge influenced the development of the discipline of Real Analysis? Do these conceptions still influence your teaching or are other ways of thinking about mathematical knowledge present in your teaching in the Mathematics Degree? And as the general objective of understanding the relationship between the main philosophical conceptions about the nature of mathematical knowledge, the emergence of real Analysis and its teaching in the degree in mathematics today, I briefly present the main conceptions about the nature of mathematical knowledge; I briefly highlight some considerations about the development of Real Analysis; and describe the methodological procedures used to look for clues to identify concepts or trends that influence the teaching of Analysis in undergraduate courses today. Therefore, from a qualitative bibliographical research, inspired by the methodology of systematic literature review and with the help of the IRaMuTeq software, I hope to enrich my knowledge of the conceptions about the nature of mathematical knowledge and about the development of the Real Analysis and contribute to the discussions on the topic in the field of Mathematics Education.
id SCI-1_b053c9f942d1486dbde00a0834288571
oai_identifier_str oai:ops.preprints.scielo.org:preprint/3262
network_acronym_str SCI-1
network_name_str SciELO Preprints
repository_id_str
spelling THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEWLA NATURALEZA DEL CONOCIMIENTO MATEMÁTICO Y EL SUJETO DE ANÁLISIS REAL: BREVES CONSIDERACIONES DE UNA REVISIÓN SISTEMÁTICA DE LA LITERATURAA NATUREZA DO CONHECIMENTO MATEMÁTICA E A DISCIPLINA DE ANÁLISE REAL: BREVES CONSIDERAÇÕES A PARTIR DE UMA REVISÃO SISTEMÁTICA DE LITERATURAConhecimento MatemáticoAnálise RealAnálise de ConteúdoIRaMuTeqMathematical KnowledgeReal AnalysisContent analysisIRaMuTeqConocimiento matemáticoAnálisis realAnálisis de contenidoIRaMuTeqWith this essay I propose to discuss the following concerns: which conceptions of mathematical knowledge influenced the development of the discipline of Real Analysis? Do these conceptions still influence your teaching or are other ways of thinking about mathematical knowledge present in your teaching in the Mathematics Degree? And as the general objective of understanding the relationship between the main philosophical conceptions about the nature of mathematical knowledge, the emergence of real Analysis and its teaching in the degree in mathematics today, I briefly present the main conceptions about the nature of mathematical knowledge; I briefly highlight some considerations about the development of Real Analysis; and describe the methodological procedures used to look for clues to identify concepts or trends that influence the teaching of Analysis in undergraduate courses today. Therefore, from a qualitative bibliographical research, inspired by the methodology of systematic literature review and with the help of the IRaMuTeq software, I hope to enrich my knowledge of the conceptions about the nature of mathematical knowledge and about the development of the Real Analysis and contribute to the discussions on the topic in the field of Mathematics Education.Con este ensayo me propongo discutir las siguientes inquietudes: ¿Qué concepciones del conocimiento matemático influyeron en el desarrollo de la disciplina del Análisis Real? ¿Estas concepciones aún influyen en tu enseñanza o hay otras formas de pensar sobre el conocimiento matemático presentes en tu docencia en la Licenciatura en Matemáticas? Y como objetivo general de comprender la relación entre las principales concepciones filosóficas sobre la naturaleza del conocimiento matemático, el surgimiento del Análisis real y su enseñanza en la licenciatura en matemática actual, presento brevemente las principales concepciones sobre la naturaleza del conocimiento matemático; Destaco brevemente algunas consideraciones sobre el desarrollo de Real Analysis; y describir los procedimientos metodológicos utilizados para buscar pistas para identificar conceptos o tendencias que influyen en la enseñanza del Análisis en los cursos de pregrado en la actualidad. Por ello, a partir de una investigación bibliográfica cualitativa, inspirada en la metodología de revisión sistemática de la literatura y con la ayuda del software IRaMuTeq, espero enriquecer mi conocimiento de las concepciones sobre la naturaleza del conocimiento matemático y sobre el desarrollo del Análisis Real y contribuir a las discusiones sobre el tema en el campo de la Educación Matemática.Com esse ensaio proponho discutir as seguintes inquietações: quais concepções de conhecimento matemático influenciaram o desenvolvimento da disciplina de Análise Real? Essas concepções ainda influenciam seu ensino ou outras formas de pensar o conhecimento matemático fazem-se presentes em seu ensino na licenciatura em matemática? E como o objetivo geral de compreender a relação entre as principais concepções filosóficas sobre a natureza do conhecimento matemático, o surgimento da Análise real e o seu ensino na licenciatura em matemática na atualidade, apresento brevemente as principais concepções sobre a natureza do conhecimento matemático; destaco suscintamente algumas considerações sobre o desenvolvimento da Análise Real; e descrevo os procedimentos metodológicos utilizados para buscar indícios para identificar concepções ou tendencias que influenciam o ensino da Analise nos cursos de licenciatura na atualidade. Logo, a partir de uma pesquisa qualitativa bibliográfica, inspirada na metodologia de revisão sistemática de literatura e com o auxílio do software IRaMuTeq, espero enriquecer meu conhecimento das concepções sobre a natureza do conhecimento matemático e sobre o desenvolvimento da a Análise Real e contribuir com as discussões sobre o tema no campo da Educação Matemática.SciELO PreprintsSciELO PreprintsSciELO Preprints2022-01-17info:eu-repo/semantics/preprintinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://preprints.scielo.org/index.php/scielo/preprint/view/326210.1590/SciELOPreprints.3262porhttps://preprints.scielo.org/index.php/scielo/article/view/3262/6354Copyright (c) 2022 Greice Lacerdahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessLacerda, Greicereponame:SciELO Preprintsinstname:SciELOinstacron:SCI2022-01-09T21:52:03Zoai:ops.preprints.scielo.org:preprint/3262Servidor de preprintshttps://preprints.scielo.org/index.php/scieloONGhttps://preprints.scielo.org/index.php/scielo/oaiscielo.submission@scielo.orgopendoar:2022-01-09T21:52:03SciELO Preprints - SciELOfalse
dc.title.none.fl_str_mv THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
LA NATURALEZA DEL CONOCIMIENTO MATEMÁTICO Y EL SUJETO DE ANÁLISIS REAL: BREVES CONSIDERACIONES DE UNA REVISIÓN SISTEMÁTICA DE LA LITERATURA
A NATUREZA DO CONHECIMENTO MATEMÁTICA E A DISCIPLINA DE ANÁLISE REAL: BREVES CONSIDERAÇÕES A PARTIR DE UMA REVISÃO SISTEMÁTICA DE LITERATURA
title THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
spellingShingle THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
Lacerda, Greice
Conhecimento Matemático
Análise Real
Análise de Conteúdo
IRaMuTeq
Mathematical Knowledge
Real Analysis
Content analysis
IRaMuTeq
Conocimiento matemático
Análisis real
Análisis de contenido
IRaMuTeq
title_short THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
title_full THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
title_fullStr THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
title_full_unstemmed THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
title_sort THE NATURE OF MATHEMATICAL KNOWLEDGE AND THE SUBJECT OF REAL ANALYSIS: BRIEF CONSIDERATIONS FROM A SYSTEMATIC LITERATURE REVIEW
author Lacerda, Greice
author_facet Lacerda, Greice
author_role author
dc.contributor.author.fl_str_mv Lacerda, Greice
dc.subject.por.fl_str_mv Conhecimento Matemático
Análise Real
Análise de Conteúdo
IRaMuTeq
Mathematical Knowledge
Real Analysis
Content analysis
IRaMuTeq
Conocimiento matemático
Análisis real
Análisis de contenido
IRaMuTeq
topic Conhecimento Matemático
Análise Real
Análise de Conteúdo
IRaMuTeq
Mathematical Knowledge
Real Analysis
Content analysis
IRaMuTeq
Conocimiento matemático
Análisis real
Análisis de contenido
IRaMuTeq
description With this essay I propose to discuss the following concerns: which conceptions of mathematical knowledge influenced the development of the discipline of Real Analysis? Do these conceptions still influence your teaching or are other ways of thinking about mathematical knowledge present in your teaching in the Mathematics Degree? And as the general objective of understanding the relationship between the main philosophical conceptions about the nature of mathematical knowledge, the emergence of real Analysis and its teaching in the degree in mathematics today, I briefly present the main conceptions about the nature of mathematical knowledge; I briefly highlight some considerations about the development of Real Analysis; and describe the methodological procedures used to look for clues to identify concepts or trends that influence the teaching of Analysis in undergraduate courses today. Therefore, from a qualitative bibliographical research, inspired by the methodology of systematic literature review and with the help of the IRaMuTeq software, I hope to enrich my knowledge of the conceptions about the nature of mathematical knowledge and about the development of the Real Analysis and contribute to the discussions on the topic in the field of Mathematics Education.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-17
dc.type.driver.fl_str_mv info:eu-repo/semantics/preprint
info:eu-repo/semantics/publishedVersion
format preprint
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://preprints.scielo.org/index.php/scielo/preprint/view/3262
10.1590/SciELOPreprints.3262
url https://preprints.scielo.org/index.php/scielo/preprint/view/3262
identifier_str_mv 10.1590/SciELOPreprints.3262
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://preprints.scielo.org/index.php/scielo/article/view/3262/6354
dc.rights.driver.fl_str_mv Copyright (c) 2022 Greice Lacerda
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 Greice Lacerda
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 SciELO Preprints
SciELO Preprints
SciELO Preprints
publisher.none.fl_str_mv SciELO Preprints
SciELO Preprints
SciELO Preprints
dc.source.none.fl_str_mv reponame:SciELO Preprints
instname:SciELO
instacron:SCI
instname_str SciELO
instacron_str SCI
institution SCI
reponame_str SciELO Preprints
collection SciELO Preprints
repository.name.fl_str_mv SciELO Preprints - SciELO
repository.mail.fl_str_mv scielo.submission@scielo.org
_version_ 1797047825789353984

Registros relacionados