Encouraging students’ motivation and Involvement in STEM degrees by the execution of real applications in mathematical subjects: the population migration problem

This paper presents a simplified model of the population migration problem, addressed to first-year engineering students in order to show them the use of linear algebra tools. The study consists of predicting the census in the city centre and in the suburbs, determining the city population equilibri...

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Detalles Bibliográficos
Autores: López-Díaz, María Teresa|||0000-0002-9331-1849, Peña Carrera, Marta|||0000-0003-3889-8584
Tipo de recurso: artículo
Fecha de publicación:2022
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:2117/367111
Acceso en línea:https://hdl.handle.net/2117/367111
https://dx.doi.org/10.3390/math10081228
Access Level:acceso abierto
Palabra clave:Engineering students
Algebras, Linear
Engineering
Linear algebra
Mathematics
Population migration
STEM
Students’ motivation
Enginyeria -- Estudiants
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:This paper presents a simplified model of the population migration problem, addressed to first-year engineering students in order to show them the use of linear algebra tools. The study consists of predicting the census in the city centre and in the suburbs, determining the city population equilibrium point, and making a sociological interpretation of population flows. This practical problem is part of the seminar “Applications of Linear Algebra in Engineering”, which is being held at the Universitat Politècnica de Catalunya-BarcelonaTech (UPC). This seminar consists in the learning of linear algebra by the implementation of real applications where mathematical tools are required to resolve them. This paper presents an application of linear algebra to the population migration problem and analyses students’ appreciation through anonymous surveys and personal interviews. The surveys assessed students’ motivation towards the subject of linear algebra and their learning of mathematical concepts. Personal interviews were conducted for students in order to let them express in detail their opinion about the seminar. The results confirm that the introduction of real applications in the learning of mathematics increases students’ motivation and involvement, which implies an improvement in students’ performance in the first courses of STEM degrees.