Students from grade 2 to grade 10 solving a Fermi problem

104 students aged 8 to 16 worked on one Fermi problem involving estimating the number 19 of people that can fit in their school playground. We present a qualitative analysis of the 20 different mathematical models developed by the students. The analysis of the students' 21 written productions i...

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Detalhes bibliográficos
Autores: Ferrando, Irene|||0000-0003-3746-4581, Albarracín Gordo, Lluís|||0000-0002-1387-5573
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:298813
Acesso em linha:https://ddd.uab.cat/record/298813
Access Level:acceso abierto
Palavra-chave:Fermi problems
Mathematical modelling
Modelling sequences
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spelling Students from grade 2 to grade 10 solving a Fermi problemanalysis of 2 emerging modelsFerrando, Irene|||0000-0003-3746-4581Albarracín Gordo, Lluís|||0000-0002-1387-5573Fermi problemsMathematical modellingModelling sequences104 students aged 8 to 16 worked on one Fermi problem involving estimating the number 19 of people that can fit in their school playground. We present a qualitative analysis of the 20 different mathematical models developed by the students. The analysis of the students' 21 written productions is based on the identification of the model of elements distribution 22 and the strategy used. The results show how the students adapt their solutions in order to 23 tackle the problem from their available knowledge. Indeed, younger students have 24 important difficulties to deal with two-dimensional mathematical contents, but they 25 overcome them by simplifying the problem. Finally, we also discuss the possibilities of 26 using the proposed problem as part of a sequence to promote mathematical modelling in 27 each educational stage, in basis of the potentialities identified in our analysis. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/298813reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-497Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 EDU2017-84377-RAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 EDU2017-82427-Ropen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2988132026-06-06T12:50:31Z
dc.title.none.fl_str_mv Students from grade 2 to grade 10 solving a Fermi problem
analysis of 2 emerging models
title Students from grade 2 to grade 10 solving a Fermi problem
spellingShingle Students from grade 2 to grade 10 solving a Fermi problem
Ferrando, Irene|||0000-0003-3746-4581
Fermi problems
Mathematical modelling
Modelling sequences
title_short Students from grade 2 to grade 10 solving a Fermi problem
title_full Students from grade 2 to grade 10 solving a Fermi problem
title_fullStr Students from grade 2 to grade 10 solving a Fermi problem
title_full_unstemmed Students from grade 2 to grade 10 solving a Fermi problem
title_sort Students from grade 2 to grade 10 solving a Fermi problem
dc.creator.none.fl_str_mv Ferrando, Irene|||0000-0003-3746-4581
Albarracín Gordo, Lluís|||0000-0002-1387-5573
author Ferrando, Irene|||0000-0003-3746-4581
author_facet Ferrando, Irene|||0000-0003-3746-4581
Albarracín Gordo, Lluís|||0000-0002-1387-5573
author_role author
author2 Albarracín Gordo, Lluís|||0000-0002-1387-5573
author2_role author
dc.subject.none.fl_str_mv Fermi problems
Mathematical modelling
Modelling sequences
topic Fermi problems
Mathematical modelling
Modelling sequences
description 104 students aged 8 to 16 worked on one Fermi problem involving estimating the number 19 of people that can fit in their school playground. We present a qualitative analysis of the 20 different mathematical models developed by the students. The analysis of the students' 21 written productions is based on the identification of the model of elements distribution 22 and the strategy used. The results show how the students adapt their solutions in order to 23 tackle the problem from their available knowledge. Indeed, younger students have 24 important difficulties to deal with two-dimensional mathematical contents, but they 25 overcome them by simplifying the problem. Finally, we also discuss the possibilities of 26 using the proposed problem as part of a sequence to promote mathematical modelling in 27 each educational stage, in basis of the potentialities identified in our analysis.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/298813
url https://ddd.uab.cat/record/298813
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-497
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 EDU2017-84377-R
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 EDU2017-82427-R
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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