Mathematical modelling in engineering: a proposal to introduce linear algebra concepts

The modern dynamic world requires that basic science courses for engineering, including linear algebra, emphasize the development of mathematical abilities primarily associated with modelling and interpreting, which aren´t limited only to calculus abilities. Considering this, an instructional design...

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Detalhes bibliográficos
Autores: Cárcamo Bahamonde, Andrea, Gómez Urgellés, Joan Vicenç|||0000-0002-9974-0425, Fortuny Aymemi, Josep Maria
Formato: artículo
Fecha de publicación:2016
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/84673
Acesso em linha:https://hdl.handle.net/2117/84673
https://dx.doi.org/10.3926/jotse.177
Access Level:acceso abierto
Palavra-chave:Mathematical models
Algebra, Linear
Mathematical modelling
Emerging models
Instructional design
Linear algebra
Spanning set
Span
Àlgebra lineal
Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
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oai_identifier_str oai:upcommons.upc.edu:2117/84673
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spelling Mathematical modelling in engineering: a proposal to introduce linear algebra conceptsCárcamo Bahamonde, AndreaGómez Urgellés, Joan Vicenç|||0000-0002-9974-0425Fortuny Aymemi, Josep MariaMathematical modelsAlgebra, LinearMathematical modellingEmerging modelsInstructional designLinear algebraSpanning setSpanÀlgebra linealModels matemàticsÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilinealThe modern dynamic world requires that basic science courses for engineering, including linear algebra, emphasize the development of mathematical abilities primarily associated with modelling and interpreting, which aren´t limited only to calculus abilities. Considering this, an instructional design was elaborated based on mathematic modelling and emerging heuristic models for the construction of specific linear algebra concepts: span and spanning set. This was applied to first year engineering students. Results suggest that this type of instructional design contributes to the construction of these mathematical concepts and can also favour first year engineering students understanding of key linear algebra concepts and potentiate the development of higher order skills.Omnia Publisher SL (OmniaScience)20162016-01-0120162016-03-17journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/84673https://dx.doi.org/10.3926/jotse.177reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/846732026-05-27T15:37:01Z
dc.title.none.fl_str_mv Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
title Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
spellingShingle Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
Cárcamo Bahamonde, Andrea
Mathematical models
Algebra, Linear
Mathematical modelling
Emerging models
Instructional design
Linear algebra
Spanning set
Span
Àlgebra lineal
Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
title_short Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
title_full Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
title_fullStr Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
title_full_unstemmed Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
title_sort Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
dc.creator.none.fl_str_mv Cárcamo Bahamonde, Andrea
Gómez Urgellés, Joan Vicenç|||0000-0002-9974-0425
Fortuny Aymemi, Josep Maria
author Cárcamo Bahamonde, Andrea
author_facet Cárcamo Bahamonde, Andrea
Gómez Urgellés, Joan Vicenç|||0000-0002-9974-0425
Fortuny Aymemi, Josep Maria
author_role author
author2 Gómez Urgellés, Joan Vicenç|||0000-0002-9974-0425
Fortuny Aymemi, Josep Maria
author2_role author
author
dc.subject.none.fl_str_mv Mathematical models
Algebra, Linear
Mathematical modelling
Emerging models
Instructional design
Linear algebra
Spanning set
Span
Àlgebra lineal
Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
topic Mathematical models
Algebra, Linear
Mathematical modelling
Emerging models
Instructional design
Linear algebra
Spanning set
Span
Àlgebra lineal
Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
description The modern dynamic world requires that basic science courses for engineering, including linear algebra, emphasize the development of mathematical abilities primarily associated with modelling and interpreting, which aren´t limited only to calculus abilities. Considering this, an instructional design was elaborated based on mathematic modelling and emerging heuristic models for the construction of specific linear algebra concepts: span and spanning set. This was applied to first year engineering students. Results suggest that this type of instructional design contributes to the construction of these mathematical concepts and can also favour first year engineering students understanding of key linear algebra concepts and potentiate the development of higher order skills.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
2016
2016-03-17
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/84673
https://dx.doi.org/10.3926/jotse.177
url https://hdl.handle.net/2117/84673
https://dx.doi.org/10.3926/jotse.177
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Omnia Publisher SL (OmniaScience)
publisher.none.fl_str_mv Omnia Publisher SL (OmniaScience)
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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