POTENTIAL TRAINING OPPORTUNITIES WITH MTSK AND SCIENTIFIC RESEARCH ON FRACTIONS AND OPERATIONS
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Data de Publicação: | 2021 |
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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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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 reponame:Revista Reamec instname:Universidade Federal de Mato Grosso (UFMT) instacron:UFMT |
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Universidade Federal de Mato Grosso (UFMT) |
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UFMT |
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UFMT |
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Revista Reamec |
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Revista Reamec |
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Revista Reamec - Universidade Federal de Mato Grosso (UFMT) |
repository.mail.fl_str_mv |
revistareamec@gmail.com|| |
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1797174816436912128 |