June 26, 2011
June 26, 2011
June 29, 2011
22.1205.1 - 22.1205.20
Putting Mathematics in Context: An Integrative Approach Using MatlabThe teaching of foundational engineering mathematics courses can be quite challenging due theabstract nature of the subject matter for freshman and sophomore students. Often it is difficultfor the students to see how the material is relevant to their future engineering work, and as aresult many students do not become as fully engaged with the course as the instructor may hopefor. One method which has been proven to be effective for increasing student engagement is toplace these abstract concepts in a practical context. This way the students can experience theusefulness of these concepts and can relate it to the other subjects which they are learning at thesame time.Recently, we have added a new component to a second-year Advanced Engineering Mathematicscourse, which is part of our electrical and computer engineering (ECE) curriculum. This coursecovers the main topics of ordinary differential equations, Laplace transforms, and complexanalysis, so it has a rich variety of applicability to the other parts of the ECE curriculum. Thisnew component has been designed to give the students direct experience with the application ofthese mathematical concepts to engineering problems. These problems are drawn from theirother concurrent courses and courses which they will take in future terms. This enables thestudents to see how these concepts are an integral part of the rest of their program.In order to enhance both their theoretical and practical engagement with the material we havecreated a set of application homework exercises and a set of Matlab-based modules. Thehomework exercises expose the student to a more advanced application of the material within aguided-inquiry framework. While the Matlab modules introduce the students to the practicalside of engineering problem solving through modeling and numeric computation. Since this isthe first exposure that our students have to any computational software, these modules alsoprovide an introduction on how to use Matlab. These modules are self-study exercises, but thestudents are supported by custom-made video tutorials. These tutorials contain a review of theessential concepts in each module, as well as examples of how to use Matlab to solve thesuggested application problems. To assess the main outcomes of these modules, two onlinequizzes have been delivered through the course management software. These quizzes provideindividualized questions and exercises which enhance the quality of the assessment and give thestudents the incentive to complete the modules on their own. In this paper we will describe andassess the effectiveness of this new component in terms of improving student engagement withthe material. The assessment will be based on student survey data and statistical analysis of thisdata in comparison with their relative performance on these modules and the course as a whole.
Stickel, M. (2011, June), Putting Mathematics in Context: An Integrative Approach Using Matlab Paper presented at 2011 ASEE Annual Conference & Exposition, Vancouver, BC. 10.18260/1-2--18843
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