Possibilities of theoretical exploration of reflections by students from the licentiate in mathematics on their difficulties in solving questions about afinne and quadratic functions
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , |
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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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 |
|
_version_ |
1808843261011296256 |