Scalar and Vector Line Integrals: A Conceptual Analysis and an Initial Investigation into Student Understanding

Scalar and Vector Line Integrals: A Conceptual Analysis and an Initial Investigation into Student Understanding

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Steven Jones recently published an article titled "Scalar and Vector Line Integrals: A Conceptual Analysis and an Initial Investigation into Student Understanding" in the Journal of Mathematical Behavior. Steven has answered a few questions about this article below: Who would you say is the target audience for this article? The target audience would be those interested in thinking carefully about how big ideas across the undergraduate mathematics curriculum connect together, as well as those who want to understand how students make sense of such big ideas (especially calculus instructors). What is the big problem you hoped to address with this article? The big idea of line integrals is notoriously difficult for multivariable calculus students to understand and reason about. Further, because integrals stretch across much of the undergraduate curriculum (including…
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