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A longitudinal study on students' development and transfer of the concept of integration

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2011 ASEE Annual Conference & Exposition


Vancouver, BC

Publication Date

June 26, 2011

Start Date

June 26, 2011

End Date

June 29, 2011



Conference Session

Students' Abilities and Attitudes

Tagged Division


Page Count


Page Numbers

22.56.1 - 22.56.8



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Paper Authors


Andrew G Bennett Kansas State University

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Andrew Bennett received his Ph.D. in mathematics from Princeton University in 1985 and has been on the faculty at Kansas State University since 1988 where he is Director of the Center for Quantitative Education.

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Todd Moore


Xuan Hien Nguyen Kansas State University

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Xuan Hien Nguyen is currently a post doctoral fellow at Kansas State University. Her research interests are in partial differential equations and mathematics education.

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Title: A longitudinal study on students' development and transfer of the concept ofintegrationAbstract: We present results from the first two years of a project investigating howengineering students develop problem solving skills through their academic career. Theproject consists of a longitudinal study as well as cross-sectional studies in multiplecourses in mathematics, physics and engineering. In this article, we focus on the transferof knowledge from mathematics to physics courses. We track how students’understanding of function and integration evolves as they progress through the Calculuscourses using individual semi-structured interviews. Most students develop a solidunderstanding of the mathematical concepts of function and integration. However, theyare unable to access different representations (for example, use geometric reasoning)when solving a similar problem in the physics interviews. Transfer of knowledge dependsupon students recognizing a connection between the different subjects.

Bennett, A. G., & Moore, T., & Nguyen, X. H. (2011, June), A longitudinal study on students' development and transfer of the concept of integration Paper presented at 2011 ASEE Annual Conference & Exposition, Vancouver, BC. 10.18260/1-2--17338

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