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STEM Majors' Ability to Relate Integral and Area Concepts

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2016 ASEE Annual Conference & Exposition


New Orleans, Louisiana

Publication Date

June 26, 2016

Start Date

June 26, 2016

End Date

June 29, 2016





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Emre Tokgoz Quinnipiac University

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Emre Tokgoz is currently an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and a Ph.D. in Industrial and Systems Engineering at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on an IRB approved pedagogical study to observe undergraduate and graduate mathematics and engineering students’ calculus and technology knowledge in 2011. His other research interests include nonlinear optimization, financial engineering, facility allocation problem, vehicle routing problem, solar energy systems, machine learning, system design, network analysis, inventory systems, and Riemannian geometry.

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Area and integral concepts are interrelated under certain circumstances. In this work senior undergraduate and graduate mathematics and engineering students’ ability to combine concept image and concept definition based on their integral knowledge is observed. Seventeen participants of this study were either enrolled or completed a Numerical Methods or Analysis course at a large Midwest university during a particular semester. The participants completed a questionnaire and got interviewed to explain their written questionnaire responses. The questionnaire questions covered concepts such as functions, differentiation, function integrals, power series, and programming preferences of the participants. Action-Process-Object-Schema (APOS) theory of Asiala, Brown, DeVries, Dubinsky, Mathews and Thomas (1996) is considered initially for evaluation of the research question however this theory is determined to be inappropriate for evaluating the research question. The data collected from the written questionnaire and video recorded interview responses are evaluated by using the concept image and concept definition approach of Dreyfus & Vinner (1989). In addition Triad classification of the participants are determined to obtain the qualitative and quantitative results presented in this work.

Tokgoz, E. (2016, June), STEM Majors' Ability to Relate Integral and Area Concepts Paper presented at 2016 ASEE Annual Conference & Exposition, New Orleans, Louisiana. 10.18260/p.25869

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