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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Detalles Bibliográficos
Autores: Cárcamo Bahamonde, Andrea, Gómez Urgellés, Joan Vicenç|||0000-0002-9974-0425, Fortuny Aymemi, Josep Maria
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/84673
Acceso en línea:https://hdl.handle.net/2117/84673
https://dx.doi.org/10.3926/jotse.177
Access Level:acceso abierto
Palabra clave: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
Descripción
Sumario: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.