Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions

Detalhes bibliográficos
Autor(a) principal: Agostinetto Antunes, Francieli Cristina
Data de Publicação: 2023
Outros Autores: Ignatius Nogueira, Clélia Maria, Bessa de Menezes, Marcus
Tipo de documento: Artigo
Idioma: por
Título da fonte: Alexandria (Florianópolis)
Texto Completo: https://periodicos.ufsc.br/index.php/alexandria/article/view/87102
Resumo: This text brings some reflections concerning the difficulties identified in the resolution of activities of a test involving affine and quadratic functions presented by eighteen academics from the second year of the Mathematics Licentiate course. The activities were developed based on the Theory of Registers of Semiotic Representation, whose resolutions revealed the difficulty in converting graphic and natural language registers to the algebraic symbolic register. Difficulties were also observed regarding the use of mathematical arguments to justify the strategies used to solve the phenomena presented. The lack of formal organization in the resolutions was another aspect revealed by the academics through the test activities. From these difficulties, we interpret the conversion from graphic to algebraic symbolic as a didactic obstacle and the conversion from natural language to algebraic symbolic as an epistemological obstacle for the acquisition of affine and quadratic functions knowledges.  
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spelling Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functionsPossibilidades de exploração teórica de reflexões de licenciandos em matemática sobre suas dificuldades na resolução de questões de funções afim e quadráticaObstáculos epistemológicos e didáticosFormação de professores que ensinam matemáticaPercurso de estudo e pesquisaEpistemological and didactic obstaclesFormation of teachers who teach mathematicsThis text brings some reflections concerning the difficulties identified in the resolution of activities of a test involving affine and quadratic functions presented by eighteen academics from the second year of the Mathematics Licentiate course. The activities were developed based on the Theory of Registers of Semiotic Representation, whose resolutions revealed the difficulty in converting graphic and natural language registers to the algebraic symbolic register. Difficulties were also observed regarding the use of mathematical arguments to justify the strategies used to solve the phenomena presented. The lack of formal organization in the resolutions was another aspect revealed by the academics through the test activities. From these difficulties, we interpret the conversion from graphic to algebraic symbolic as a didactic obstacle and the conversion from natural language to algebraic symbolic as an epistemological obstacle for the acquisition of affine and quadratic functions knowledges.  Este texto traz algumas reflexões sobre as dificuldades identificadas nas resoluções de atividades de um teste envolvendo função afim e quadrática apresentadas por dezoito acadêmicos do segundo ano do curso de Licenciatura em Matemática. As atividades foram elaboradas com base na Teoria dos Registros de Representação Semiótica, cujas resoluções revelaram a dificuldade na conversão dos registros gráfico e da língua natural para o registro simbólico algébrico. Foram verificadas dificuldades também quanto ao uso de argumentos matemáticos para justificar as estratégias utilizadas para resolução dos fenômenos apresentados. A falta de organização formal nas resoluções foi outro aspecto revelado pelos acadêmicos por meio das atividades do teste. A partir dessas dificuldades constatou-se que a conversão do registro gráfico para simbólico algébrico constitui-se em obstáculo didático e a conversão do registro em língua natural para o simbólico algébrico em obstáculo epistemológico para a aquisição do conhecimento de funções afim e quadrática.Universidade Federal de Santa Catarina2023-05-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/alexandria/article/view/8710210.5007/1982-5153.2023.e87102Alexandria: Revista de Educação em Ciência e Tecnologia; v. 16 n. 1 (2023); 183-2051982-5153reponame:Alexandria (Florianópolis)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCporhttps://periodicos.ufsc.br/index.php/alexandria/article/view/87102/53193http://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessAgostinetto Antunes, Francieli CristinaIgnatius Nogueira, Clélia Maria Bessa de Menezes, Marcus 2023-05-22T13:42:50Zoai:periodicos.ufsc.br:article/87102Revistahttps://periodicos.ufsc.br/index.php/alexandria/oai1982-51531982-5153opendoar:2023-05-22T13:42:50Alexandria (Florianópolis) - Universidade Federal de Santa Catarina (UFSC)false
dc.title.none.fl_str_mv Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
Possibilidades de exploração teórica de reflexões de licenciandos em matemática sobre suas dificuldades na resolução de questões de funções afim e quadrática
title Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
spellingShingle Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
Agostinetto Antunes, Francieli Cristina
Obstáculos epistemológicos e didáticos
Formação de professores que ensinam matemática
Percurso de estudo e pesquisa
Epistemological and didactic obstacles
Formation of teachers who teach mathematics
title_short Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
title_full Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
title_fullStr Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
title_full_unstemmed Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
title_sort Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
author Agostinetto Antunes, Francieli Cristina
author_facet Agostinetto Antunes, Francieli Cristina
Ignatius Nogueira, Clélia Maria
Bessa de Menezes, Marcus
author_role author
author2 Ignatius Nogueira, Clélia Maria
Bessa de Menezes, Marcus
author2_role author
author
dc.contributor.author.fl_str_mv Agostinetto Antunes, Francieli Cristina
Ignatius Nogueira, Clélia Maria
Bessa de Menezes, Marcus
dc.subject.por.fl_str_mv Obstáculos epistemológicos e didáticos
Formação de professores que ensinam matemática
Percurso de estudo e pesquisa
Epistemological and didactic obstacles
Formation of teachers who teach mathematics
topic Obstáculos epistemológicos e didáticos
Formação de professores que ensinam matemática
Percurso de estudo e pesquisa
Epistemological and didactic obstacles
Formation of teachers who teach mathematics
description This text brings some reflections concerning the difficulties identified in the resolution of activities of a test involving affine and quadratic functions presented by eighteen academics from the second year of the Mathematics Licentiate course. The activities were developed based on the Theory of Registers of Semiotic Representation, whose resolutions revealed the difficulty in converting graphic and natural language registers to the algebraic symbolic register. Difficulties were also observed regarding the use of mathematical arguments to justify the strategies used to solve the phenomena presented. The lack of formal organization in the resolutions was another aspect revealed by the academics through the test activities. From these difficulties, we interpret the conversion from graphic to algebraic symbolic as a didactic obstacle and the conversion from natural language to algebraic symbolic as an epistemological obstacle for the acquisition of affine and quadratic functions knowledges.  
publishDate 2023
dc.date.none.fl_str_mv 2023-05-22
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://periodicos.ufsc.br/index.php/alexandria/article/view/87102
10.5007/1982-5153.2023.e87102
url https://periodicos.ufsc.br/index.php/alexandria/article/view/87102
identifier_str_mv 10.5007/1982-5153.2023.e87102
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ufsc.br/index.php/alexandria/article/view/87102/53193
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Santa Catarina
publisher.none.fl_str_mv Universidade Federal de Santa Catarina
dc.source.none.fl_str_mv Alexandria: Revista de Educação em Ciência e Tecnologia; v. 16 n. 1 (2023); 183-205
1982-5153
reponame:Alexandria (Florianópolis)
instname:Universidade Federal de Santa Catarina (UFSC)
instacron:UFSC
instname_str Universidade Federal de Santa Catarina (UFSC)
instacron_str UFSC
institution UFSC
reponame_str Alexandria (Florianópolis)
collection Alexandria (Florianópolis)
repository.name.fl_str_mv Alexandria (Florianópolis) - Universidade Federal de Santa Catarina (UFSC)
repository.mail.fl_str_mv
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