A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade
Main Author: | |
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Publication Date: | 2022 |
Other Authors: | , , |
Format: | Article |
Language: | spa |
Source: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Download full: | http://hdl.handle.net/10362/139620 |
Summary: | The work with different representations promotes a deeper understanding of topics of functions. Based on this assumption, this study aims to analyze the contribution of the graphical representation to the learning of the inverse function and of the parity of a function by 10th grade students. The study adopts a qualitative and interpretative methodology to understand the students’ actions while solving the proposed tasks. The analysis of the resolutions shows that the graphic representation served as support for the development of the definitions of the topics under study. And this despite the fact that some students revealed difficulties in the interpretation and construction of graphs; in identifying images and inverse images in function’s graphs; in representing certain graphical characteristics associated with some concepts of functions, such as the relationship between the parity of a function and the symmetry on its graphical representation (mixing up the axis of symmetry and the axis of reflection). Overall, this study shows how the approach to the concepts based on a graphical representation can contribute to their understanding. |
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A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridadeThe graphical representation in the learning of functions by 10th grade studentsconstruction of graphsgraphical difficultiesgraphical representationinterpretation of graphsstudentsMathematics (miscellaneous)EducationThe work with different representations promotes a deeper understanding of topics of functions. Based on this assumption, this study aims to analyze the contribution of the graphical representation to the learning of the inverse function and of the parity of a function by 10th grade students. The study adopts a qualitative and interpretative methodology to understand the students’ actions while solving the proposed tasks. The analysis of the resolutions shows that the graphic representation served as support for the development of the definitions of the topics under study. And this despite the fact that some students revealed difficulties in the interpretation and construction of graphs; in identifying images and inverse images in function’s graphs; in representing certain graphical characteristics associated with some concepts of functions, such as the relationship between the parity of a function and the symmetry on its graphical representation (mixing up the axis of symmetry and the axis of reflection). Overall, this study shows how the approach to the concepts based on a graphical representation can contribute to their understanding.Centro Interdisciplinar de Ciências Sociais (CICS.NOVA - NOVA FCSH)RUNViseu, FlorianoSilva, AndréRocha, HelenaMartins, Paula Mendes2022-06-07T22:26:47Z2022-042022-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article28application/pdfhttp://hdl.handle.net/10362/139620spa0187-8298PURE: 44478421https://doi.org/10.24844/EM3401.07info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T05:16:53Zoai:run.unl.pt:10362/139620Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:49:28.362164Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade The graphical representation in the learning of functions by 10th grade students |
title |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade |
spellingShingle |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade Viseu, Floriano construction of graphs graphical difficulties graphical representation interpretation of graphs students Mathematics (miscellaneous) Education |
title_short |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade |
title_full |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade |
title_fullStr |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade |
title_full_unstemmed |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade |
title_sort |
A representação gráfica na aprendizagem de funções por alunos do 10.ºano de escolaridade |
author |
Viseu, Floriano |
author_facet |
Viseu, Floriano Silva, André Rocha, Helena Martins, Paula Mendes |
author_role |
author |
author2 |
Silva, André Rocha, Helena Martins, Paula Mendes |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Centro Interdisciplinar de Ciências Sociais (CICS.NOVA - NOVA FCSH) RUN |
dc.contributor.author.fl_str_mv |
Viseu, Floriano Silva, André Rocha, Helena Martins, Paula Mendes |
dc.subject.por.fl_str_mv |
construction of graphs graphical difficulties graphical representation interpretation of graphs students Mathematics (miscellaneous) Education |
topic |
construction of graphs graphical difficulties graphical representation interpretation of graphs students Mathematics (miscellaneous) Education |
description |
The work with different representations promotes a deeper understanding of topics of functions. Based on this assumption, this study aims to analyze the contribution of the graphical representation to the learning of the inverse function and of the parity of a function by 10th grade students. The study adopts a qualitative and interpretative methodology to understand the students’ actions while solving the proposed tasks. The analysis of the resolutions shows that the graphic representation served as support for the development of the definitions of the topics under study. And this despite the fact that some students revealed difficulties in the interpretation and construction of graphs; in identifying images and inverse images in function’s graphs; in representing certain graphical characteristics associated with some concepts of functions, such as the relationship between the parity of a function and the symmetry on its graphical representation (mixing up the axis of symmetry and the axis of reflection). Overall, this study shows how the approach to the concepts based on a graphical representation can contribute to their understanding. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-06-07T22:26:47Z 2022-04 2022-04-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10362/139620 |
url |
http://hdl.handle.net/10362/139620 |
dc.language.iso.fl_str_mv |
spa |
language |
spa |
dc.relation.none.fl_str_mv |
0187-8298 PURE: 44478421 https://doi.org/10.24844/EM3401.07 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
28 application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799138093465337856 |