June 14, 2015
June 14, 2015
June 17, 2015
26.302.1 - 26.302.20
Building bridges between mathematics and engineering: identifyingmodeling practices through Differential Equations and SimulationThis paper aims to show the results of an innovative design of a DifferentialEquations course through modeling and computer simulation. This course wasfirst implemented in a private university in the northeast of Mexico in 2010. Sincethen, it has been upgraded every school term. This course aims at helpingstudents better understand the application of this mathematical object in differentareas, especially those of a physical and/or social nature. The study presented isanalyzed from a mixed research paradigm (qualitative and quantitative).This paper is divided in three parts. First, it will consider the qualitative approachthat leads students to identify key aspects of modeling, aspects that are of highinterest for future engineers. The qualitative approach includes interviews withexperts of different engineering fields, observations in specialization coursessuch as Electric Circuits; Control Theory, Mass Balance, and Dynamics Systems;analysis of textbooks, technologies and languages used; and academicdiscussions with experts.The second part will deal with the discussion and the collaborative design ofmodeling activities done by engineers and DE teachers. These have led tointroduce a series of activities that ask the students to model the reality aroundthem or the reality they suppose will eventually become a part of their everydaylives at the workplace. This should be done taking into account two things: thekey ideas of the DE mathematical aspect, and above all, the modeling practicesof the 21st century engineer.Finally, in the third part, it has been considered to show the results of aquestionnaire developed within a qualitative/quantitative paradigm frame. Thisquestionnaire has been administered over a period of one year to engineeringstudents enrolled in DE courses. This seeks to validate the contribution of thisapproach to teaching DE courses through modeling and simulating from theengineering point of view. The results are evidence of the positive contribution ofthis course design in regards to the student’s perception on how useful theseactivities are in his understanding of the basic content and above all the use ofthis knowledge in his future professional life.
Rodríguez-Gallegos, R., & Bourguet-Diaz, R. E. (2015, June), Building Bridges Between Mathematics and Engineering: Identifying Modeling Practices Through Differential Equations and Simulation Paper presented at 2015 ASEE Annual Conference & Exposition, Seattle, Washington. 10.18260/p.23641
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