POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS

Detalhes bibliográficos
Autor(a) principal: Wielewski, Gladys Denise
Data de Publicação: 2021
Outros Autores: Moriel Junior, Jeferson Gomes
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista Reamec
Texto Completo: https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462
Resumo: Research with Mathematics Teachers’ Specialized Knowledge – MTSK has grown in the world and in Brazil, although there are still few studies about creation and evaluation of training activities with such a theoretical framework. The purpose of this article is to discuss theoretically how a combination of the dimensions of the MTSK with scientific results in Mathematical Education can offer training sources to enhance the development of specialized teaching knowledge about fractions and operations, their teaching and learning. It is a qualitative analytical-descriptive research, of a theoretical-exploratory nature, in which we analyzed an excerpt from a training workshop in which a graduate was invited to reflect on the didactic sequencing to use the contents and based on his answer, we conducted a a posteriori reflective analysis on possible training paths. Our results show such paths, linked to everyone as MTSK dimensions based on scientific results, among which we highlight: (i) recommendations for linking concepts about fractions and procedures related to curricular specifications, scientific research or the opinion of experienced teachers, developed taking into account student learning characteristics, common mistakes and their likely sources; (ii) concepts, algorithms, procedures, justifications and phenomena related to fractions and their operations, as well as, different among such concepts; (iii) instructional and didactic clinical explanations that they use to understand through exercise, doing math, just memorizing it, including knowledge of the practice of defining and demonstrating.
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spelling POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONSPOSIBLES OPORTUNIDADES FORMATIVAS CON MTSK E INVESTIGACIÓN CIENTÍFICA SOBRE FRACCIONES Y OPERACIONESPOTENCIAIS OPORTUNIDADES FORMATIVAS COM MTSK E PESQUISAS CIENTÍFICAS SOBRE FRAÇÕES E OPERAÇÕESFormative opportunitiesMTSKTeacher trainingMathematics educationFractionsOportunidades formativasMTSKFormação docenteEducação matemáticaFraçõesOportunidades formativasMTSKFormación de profesoresEducación MatemáticaFraccionesResearch with Mathematics Teachers’ Specialized Knowledge – MTSK has grown in the world and in Brazil, although there are still few studies about creation and evaluation of training activities with such a theoretical framework. The purpose of this article is to discuss theoretically how a combination of the dimensions of the MTSK with scientific results in Mathematical Education can offer training sources to enhance the development of specialized teaching knowledge about fractions and operations, their teaching and learning. It is a qualitative analytical-descriptive research, of a theoretical-exploratory nature, in which we analyzed an excerpt from a training workshop in which a graduate was invited to reflect on the didactic sequencing to use the contents and based on his answer, we conducted a a posteriori reflective analysis on possible training paths. Our results show such paths, linked to everyone as MTSK dimensions based on scientific results, among which we highlight: (i) recommendations for linking concepts about fractions and procedures related to curricular specifications, scientific research or the opinion of experienced teachers, developed taking into account student learning characteristics, common mistakes and their likely sources; (ii) concepts, algorithms, procedures, justifications and phenomena related to fractions and their operations, as well as, different among such concepts; (iii) instructional and didactic clinical explanations that they use to understand through exercise, doing math, just memorizing it, including knowledge of the practice of defining and demonstrating.Investigación con Mathematics Teachers’ Specialized Knowledge - MTSK ha crecido en el mundo y en Brasil, sin embargo, aún existen pocos estudios sobre la creación y evaluación de actividades de formación con este marco teórico. El objetivo de este artículo es discutir teóricamente cómo la combinación de las dimensiones del MTSK con resultados científicos en Educación Matemática puede ofrecer vías de formación para potenciar el desarrollo de conocimientos docentes especializados sobre fracciones y operaciones, su enseñanza y aprendizaje. Se trata de una investigación cualitativa analítico-descriptiva, de carácter teórico-exploratorio, en la que se analizó un apartado de un taller de formación en el que se invitó a un egresado a reflexionar sobre la secuencia didáctica para enseñar los contenidos referidos y en base a su respuesta un análisis reflexivo a posteriori sobre posibles caminos formativos. Nuestros resultados muestran tales caminos vinculados a todas las dimensiones del MTSK con base en resultados científicos, entre los que destacamos: (i) recomendaciones para vincular conceptos sobre fracciones y operaciones a partir de especificaciones curriculares, investigación científica o la opinión de profesores experimentados, elaborada teniendo en cuenta las características de aprendizaje de los estudiantes, los errores comunes y sus probables fuentes; (ii) conceptos, algoritmos, procedimientos, justificaciones y fenómenos vinculados a las fracciones y sus operaciones, así como las diferentes conexiones entre dichos conceptos; (iii) explicaciones instruccionales y estrategias didácticas que permitan enseñar para la comprensión a través de la práctica matemática, en lugar de solo memorizarla, incluyendo el conocimiento de la práctica de definir y demostrar.As pesquisas com o Mathematics Teachers’ Specialized Knowledge (MTSK) têm crescido no mundo e no Brasil, entretanto ainda há poucos estudos sobre criação e avaliação de atividades formativas com tal marco teórico. O objetivo deste artigo é discutir teoricamente como a combinação das dimensões do MTSK com resultados científicos em Educação Matemática pode oferecer caminhos formativos para potencializar o desenvolvimento de conhecimento especializado docente sobre frações e operações, seu ensino e aprendizagem. Trata-se de uma pesquisa qualitativa analítico-descritiva, de caráter teórico-exploratório, em que analisamos um trecho de uma oficina formativa na qual um licenciando foi convidado a refletir sobre a sequenciação didática para ensinar os referidos conteúdos e a partir da sua resposta realizamos uma análise reflexiva a posteriori sobre caminhos formativos possíveis. Nossos resultados mostram tais caminhos, ligados a todas as dimensões MTSK fundadas em resultados científicos, dentre os quais destacamos: (i) recomendações de encadeamento de conceitos sobre frações e operações provenientes de especificações curriculares, pesquisas científicas ou opinião de professores experientes, elaboradas levando em consideração as características de aprendizagem de estudantes, erros comuns e suas fontes prováveis; (ii) conceitos, algoritmos, procedimentos, justificativas e fenômeno ligados a frações e suas operações, bem como, diferentes conexões entre tais conceitos; (iii) explicações instrucionais e estratégias didáticas que permitam ensinar para a compreensão por meio do fazer matemática, ao invés de apenas memorizá-la, incluindo conhecimentos da prática de definir e demonstrar.Universidade Federal de Mato Grosso (UFMT)2021-01-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo avaliado pelos paresapplication/pdfapplication/ziphttps://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/1146210.26571/reamec.v9i1.11462 REAMEC - Red Amazónica de Educación en Ciencias y Matemáticas; Vol. 9 Núm. 1 (2021): De enero a abril de 2021 - Ahead of Print (AOP); e21013REAMEC - Rede Amazônica de Educação em Ciências e Matemática; v. 9 n. 1 (2021): Janeiro a abril de 2021; e21013REAMEC Journal - Amazonian Network of Mathematical Education; Vol. 9 No. 1 (2021): January to April 2021 - Ahead of Print (AOP); e210132318-6674reponame:Revista Reamecinstname:Universidade Federal de Mato Grosso (UFMT)instacron:UFMTporhttps://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/7924https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8626https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8627https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8628https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8629https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8630Copyright (c) 2021 Gladys Denise Wielewski, Jeferson Gomes Moriel Juniorhttps://creativecommons.org/licenses/by-nc/4.0info:eu-repo/semantics/openAccessWielewski, Gladys DeniseMoriel Junior, Jeferson Gomes2021-05-03T20:14:21Zoai:periodicoscientificos.ufmt.br:article/11462Revistahttp://periodicoscientificos.ufmt.br/ojs/index.php/reamec/indexPUBhttp://periodicoscientificos.ufmt.br/ojs/index.php/reamec/oairevistareamec@gmail.com||2318-66742318-6674opendoar:2021-05-03T20:14:21Revista Reamec - Universidade Federal de Mato Grosso (UFMT)false
dc.title.none.fl_str_mv POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
POSIBLES OPORTUNIDADES FORMATIVAS CON MTSK E INVESTIGACIÓN CIENTÍFICA SOBRE FRACCIONES Y OPERACIONES
POTENCIAIS OPORTUNIDADES FORMATIVAS COM MTSK E PESQUISAS CIENTÍFICAS SOBRE FRAÇÕES E OPERAÇÕES
title POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
spellingShingle POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
Wielewski, Gladys Denise
Formative opportunities
MTSK
Teacher training
Mathematics education
Fractions
Oportunidades formativas
MTSK
Formação docente
Educação matemática
Frações
Oportunidades formativas
MTSK
Formación de profesores
Educación Matemática
Fracciones
title_short POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
title_full POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
title_fullStr POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
title_full_unstemmed POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
title_sort POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
author Wielewski, Gladys Denise
author_facet Wielewski, Gladys Denise
Moriel Junior, Jeferson Gomes
author_role author
author2 Moriel Junior, Jeferson Gomes
author2_role author
dc.contributor.author.fl_str_mv Wielewski, Gladys Denise
Moriel Junior, Jeferson Gomes
dc.subject.por.fl_str_mv Formative opportunities
MTSK
Teacher training
Mathematics education
Fractions
Oportunidades formativas
MTSK
Formação docente
Educação matemática
Frações
Oportunidades formativas
MTSK
Formación de profesores
Educación Matemática
Fracciones
topic Formative opportunities
MTSK
Teacher training
Mathematics education
Fractions
Oportunidades formativas
MTSK
Formação docente
Educação matemática
Frações
Oportunidades formativas
MTSK
Formación de profesores
Educación Matemática
Fracciones
description Research with Mathematics Teachers’ Specialized Knowledge – MTSK has grown in the world and in Brazil, although there are still few studies about creation and evaluation of training activities with such a theoretical framework. The purpose of this article is to discuss theoretically how a combination of the dimensions of the MTSK with scientific results in Mathematical Education can offer training sources to enhance the development of specialized teaching knowledge about fractions and operations, their teaching and learning. It is a qualitative analytical-descriptive research, of a theoretical-exploratory nature, in which we analyzed an excerpt from a training workshop in which a graduate was invited to reflect on the didactic sequencing to use the contents and based on his answer, we conducted a a posteriori reflective analysis on possible training paths. Our results show such paths, linked to everyone as MTSK dimensions based on scientific results, among which we highlight: (i) recommendations for linking concepts about fractions and procedures related to curricular specifications, scientific research or the opinion of experienced teachers, developed taking into account student learning characteristics, common mistakes and their likely sources; (ii) concepts, algorithms, procedures, justifications and phenomena related to fractions and their operations, as well as, different among such concepts; (iii) instructional and didactic clinical explanations that they use to understand through exercise, doing math, just memorizing it, including knowledge of the practice of defining and demonstrating.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-26
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artigo avaliado pelos pares
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462
10.26571/reamec.v9i1.11462
url https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462
identifier_str_mv 10.26571/reamec.v9i1.11462
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/7924
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8626
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8627
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8628
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8629
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/11462/8630
dc.rights.driver.fl_str_mv Copyright (c) 2021 Gladys Denise Wielewski, Jeferson Gomes Moriel Junior
https://creativecommons.org/licenses/by-nc/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 Gladys Denise Wielewski, Jeferson Gomes Moriel Junior
https://creativecommons.org/licenses/by-nc/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/zip
dc.publisher.none.fl_str_mv Universidade Federal de Mato Grosso (UFMT)
publisher.none.fl_str_mv Universidade Federal de Mato Grosso (UFMT)
dc.source.none.fl_str_mv REAMEC - Red Amazónica de Educación en Ciencias y Matemáticas; Vol. 9 Núm. 1 (2021): De enero a abril de 2021 - Ahead of Print (AOP); e21013
REAMEC - Rede Amazônica de Educação em Ciências e Matemática; v. 9 n. 1 (2021): Janeiro a abril de 2021; e21013
REAMEC Journal - Amazonian Network of Mathematical Education; Vol. 9 No. 1 (2021): January to April 2021 - Ahead of Print (AOP); e21013
2318-6674
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repository.name.fl_str_mv Revista Reamec - Universidade Federal de Mato Grosso (UFMT)
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