June 14, 2015
June 14, 2015
June 17, 2015
26.213.1 - 26.213.12
Abstract: Success in many engineering and mathematics courses is tied to well-developed calculus knowledge.Several important calculus concepts used in STEM courses include limit, first derivative, second derivative, andasymptote. In this article, undergraduate and graduate engineering and mathematics students’ ability to transform analgebraic function to its geometric representation is analyzed. Participants were either enrolled or recently (twoweek period) completed a Numerical Methods/Analysis course during the data collection period. Video recordedand written responses to graphing a quotient function are analyzed by using Action-Process-Object-Schema (APOS)theory. Participants are asked to sketch the graph of the given quotient function after calculating its limiting values,first derivative, second derivative and asymptotes. Qualitative and quantitative results indicated Mathematicsmajors’ higher success rate among all the participants.
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