Mathematical modelling in engineering: a proposal to introduce linear algebra concepts
| Autor: | Andrea Dorila Cárcamo Bahamonde, Josep Maria Fortuny Aymemí, Joan Vicenç Gómez Urgelles |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. INSIDE - Innovació en Sistemes per al Disseny i la Formació a l'Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Mathematical modelling
emerging models instructional design linear algebra spanning set span Algebra Linear Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal [Àrees temàtiques de la UPC] Computer science Span 01 natural sciences Linear span lcsh:Technology Mathematical modelling--theory and applications Education 0103 physical sciences Llinear algebra Ensenyament i aprenentatge::Ensenyament universitari [Àrees temàtiques de la UPC] Emerging models Mathematical ability Ensenyament universitari Sistema educatiu -- Disseny Linear algebra 010306 general physics lcsh:LC8-6691 Mathematical models Instructional design Mathematical model lcsh:Special aspects of education Mathematical modelling Management science Heuristic lcsh:T Models matemàtics -- Ensenyament 05 social sciences Àlgebra lineal -- Ensenyament universitari 050301 education Models matemàtics Algebras Linear--Study and teaching (Higher) Algebra Engineering education lcsh:TA1-2040 Instructional systems--Design Àlgebra lineal Heuristics lcsh:L lcsh:Engineering (General). Civil engineering (General) Spanning set 0503 education lcsh:Education |
| Zdroj: | Journal of Technology and Science Education, Vol 6, Iss 1, Pp 62-70 (2016) UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) JOTSE: Journal of technology and science education; 2016: Vol.: 6 Núm.: 1 Recercat. Dipósit de la Recerca de Catalunya instname |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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