Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10451/30565 |
Resumo: | This study offers a view on students’ technology-based problem solving activity through the lens of a theoretical model which accounts for the relationship between mathematical and technological knowledge in successful problem solving. This study takes a qualitative approach building on the work of a 13-year-old girl as an exemplary case of the nature of young students’ spontaneous mathematical problem solving with technology. The empirical data comprise digital records of her approaches to two problems from a web-based mathematical competition where she resorted to GeoGebra and an interview where she explains and describes her usual problem solving activity with this tool. Based on a proposed model for describing the processes of mathematical problem solving with technologies (MPST), the main results show that this student’s solving and expressing the solution are held from the early and continuing interplay between mathematical skills and the perception of the affordances of the tool. The analytical model offers a clear picture of the type of actions that lead to the solution of each problem, revealing the student’s ability to deal with mathematics and technology in problem solving. By acknowledging this as a case of a human-with-media in solving mathematical problems, the students’ efficient way of merging technological and mathematical knowledge is portrayed in terms of her techno-mathematical fluency. |
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Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebraAffordancesDigital problem solvingHumans-with-mediaMathematical problem solvingTechno-mathematical fluencyThis study offers a view on students’ technology-based problem solving activity through the lens of a theoretical model which accounts for the relationship between mathematical and technological knowledge in successful problem solving. This study takes a qualitative approach building on the work of a 13-year-old girl as an exemplary case of the nature of young students’ spontaneous mathematical problem solving with technology. The empirical data comprise digital records of her approaches to two problems from a web-based mathematical competition where she resorted to GeoGebra and an interview where she explains and describes her usual problem solving activity with this tool. Based on a proposed model for describing the processes of mathematical problem solving with technologies (MPST), the main results show that this student’s solving and expressing the solution are held from the early and continuing interplay between mathematical skills and the perception of the affordances of the tool. The analytical model offers a clear picture of the type of actions that lead to the solution of each problem, revealing the student’s ability to deal with mathematics and technology in problem solving. By acknowledging this as a case of a human-with-media in solving mathematical problems, the students’ efficient way of merging technological and mathematical knowledge is portrayed in terms of her techno-mathematical fluency.Springer NetherlandsRepositório da Universidade de LisboaJacinto, HéliaCarreira, Susana2018-01-15T10:57:47Z20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10451/30565engJacinto, H., & Carreira, S. (2016). Mathematical problem solving with technology: The techno-mathematical fluency of a student-with-geogebra. International Journal of Science and Mathematics Education, 15(6), 1115-1136. doi: https://doi.org/10.1007/s10763-016-9728-8.1571-0068 (print)10.1007/s10763-016-9728-8info: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:RCAAP2023-11-08T16:23:03Zoai:repositorio.ul.pt:10451/30565Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:46:04.359871Repositório 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 |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra |
title |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra |
spellingShingle |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra Jacinto, Hélia Affordances Digital problem solving Humans-with-media Mathematical problem solving Techno-mathematical fluency |
title_short |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra |
title_full |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra |
title_fullStr |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra |
title_full_unstemmed |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra |
title_sort |
Mathematical Problem Solving with Technology: the Techno-Mathematical Fluency of a Student-with-GeoGebra |
author |
Jacinto, Hélia |
author_facet |
Jacinto, Hélia Carreira, Susana |
author_role |
author |
author2 |
Carreira, Susana |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Repositório da Universidade de Lisboa |
dc.contributor.author.fl_str_mv |
Jacinto, Hélia Carreira, Susana |
dc.subject.por.fl_str_mv |
Affordances Digital problem solving Humans-with-media Mathematical problem solving Techno-mathematical fluency |
topic |
Affordances Digital problem solving Humans-with-media Mathematical problem solving Techno-mathematical fluency |
description |
This study offers a view on students’ technology-based problem solving activity through the lens of a theoretical model which accounts for the relationship between mathematical and technological knowledge in successful problem solving. This study takes a qualitative approach building on the work of a 13-year-old girl as an exemplary case of the nature of young students’ spontaneous mathematical problem solving with technology. The empirical data comprise digital records of her approaches to two problems from a web-based mathematical competition where she resorted to GeoGebra and an interview where she explains and describes her usual problem solving activity with this tool. Based on a proposed model for describing the processes of mathematical problem solving with technologies (MPST), the main results show that this student’s solving and expressing the solution are held from the early and continuing interplay between mathematical skills and the perception of the affordances of the tool. The analytical model offers a clear picture of the type of actions that lead to the solution of each problem, revealing the student’s ability to deal with mathematics and technology in problem solving. By acknowledging this as a case of a human-with-media in solving mathematical problems, the students’ efficient way of merging technological and mathematical knowledge is portrayed in terms of her techno-mathematical fluency. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016 2016-01-01T00:00:00Z 2018-01-15T10:57:47Z |
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/10451/30565 |
url |
http://hdl.handle.net/10451/30565 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Jacinto, H., & Carreira, S. (2016). Mathematical problem solving with technology: The techno-mathematical fluency of a student-with-geogebra. International Journal of Science and Mathematics Education, 15(6), 1115-1136. doi: https://doi.org/10.1007/s10763-016-9728-8. 1571-0068 (print) 10.1007/s10763-016-9728-8 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Springer Netherlands |
publisher.none.fl_str_mv |
Springer Netherlands |
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) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799134384792535040 |