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University Students’ Ability to Interconnect the Calculus Concepts and Function Graphing

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2018 ASEE Annual Conference & Exposition


Salt Lake City, Utah

Publication Date

June 23, 2018

Start Date

June 23, 2018

End Date

July 27, 2018

Conference Session

Mathematics Division Technical Session 4

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Paper Authors


Emre Tokgoz Quinnipiac University

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Emre Tokgoz is currently the Director and an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and another 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 several IRB approved pedagogical studies to observe undergraduate and graduate mathematics and engineering students’ calculus and technology knowledge since 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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Hazal Ceyhan Ankara University

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PhD student at Departments of Mathematics, Ankara University.

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Success in several advanced STEM courses depend on students’ ability to understand and implement calculus concepts in different problem settings. Function concept in calculus is one of the pre-requisite concepts that students are expected to have a well-developed knowledge. In this work, students’ ability to answer fill-in-the-blank calculus questions after observing a function’s graph are evaluated quantitatively and qualitatively. The main idea behind of this IRB (Institutional Review Board) approved research is to have a better understanding of STEM majors’ missing conceptual calculus knowledge for building a bridge between algebraic and geometric representations of functions. Seventeen undergraduate and graduate engineering and mathematics majors’ written and transcribed video recorded responses are evaluated by using Action-Process-Object-Schema (APOS) theory. The analysis of the data indicated Mathematics majors’ success.

Tokgoz, E., & Ceyhan, H. (2018, June), University Students’ Ability to Interconnect the Calculus Concepts and Function Graphing Paper presented at 2018 ASEE Annual Conference & Exposition , Salt Lake City, Utah. 10.18260/1-2--31185

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