Students’understanding of double integrals - implications for the engineering curriculum
Visualitza/Obre
10.5821/conference-9788412322262.1155
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/383007
Tipus de documentText en actes de congrés
Data publicació2022-09
EditorUniversitat Politècnica de Catalunya
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
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Reconeixement-NoComercial-SenseObraDerivada 4.0 Internacional
Abstract
Mathematics plays a significant role in engineering students' education. To undergraduate engineering students, calculus concepts are foundational to their engineering courses. One such concept is the double integral. It is thus important to ensure that students not only learn this concept but also engage to understand it and are able to apply this knowledge in relevant engineering courses. This research paper focuses on the following two components: Firstly, the relevance of double integrals to the engineering curriculum. And secondly, students’ understanding of the double integral concept. We present the relevance of double integrals in the engineering curriculum by looking at the use of this concept in different engineering fields. We explored students’ understanding of double integrals and administered a test to 35 second year engineering students enrolled in an undergraduate Calculus III course. In a qualitative study, the performance of students was used to analyse the type of misconceptions they have in double integration. The findings reveal that the students encounter difficulties with graphical representation of surfaces and region of integration. In addition, students struggle with changing the order of integration and performing the integration process. While some of these errors are conceptual, others are really due to carelessness in the procedure.
CitacióKhemane, T.; Padayachee, P.; Shaw, C. Students'understanding of double integrals - implications for the engineering curriculum. A: SEFI 50th Annual conference of The European Society for Engineering Education. "Towards a new future in engineering education, new scenarios that european alliances of tech universities open up". Barcelona: Universitat Politècnica de Catalunya, 2022, p. 391-401. DOI 10.5821/conference-9788412322262.1155.
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