One student's resources throughout a triple integral question

Students in physics courses are often asked to compute integrals that are both similar and different compared to the integrals from Calculus courses.We interviewed three students at a mid-sized midwestern university, and asked them to work on integral problems from math and physics contexts and talk through their thinking.We identified five conceptual resources that students activated throughout and across the interviews.Here, we highlight two of the five resources through an example of a student reasoning through a volume integral problem, and their thought process as they attempt to connect different conceptions of integration.We argue that this case study excerpt is representative of some of the hurdles that certain conceptions of integrals may lead to when solving different integral problems in physics despite students' prior success in math courses.

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Publication Details

Published
2025-10-28
DOI
https://doi.org/10.1119/perc.2025.pr.malik
Primary Topic
Mathematics Education and Teaching Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

One student's resources throughout a triple integral question

Warren M. Christensen, Idris Malik, Samantha Meyer
Mathematics Education and Teaching Techniques
article

One student's resources throughout a triple integral question

Warren M. Christensen, Idris Malik, Samantha Meyer
article en

Abstract

Students in physics courses are often asked to compute integrals that are both similar and different compared to the integrals from Calculus courses.We interviewed three students at a mid-sized midwestern university, and asked them to work on integral problems from math and physics contexts and talk through their thinking.We identified five conceptual resources that students activated throughout and across the interviews.Here, we highlight two of the five resources through an example of a student reasoning through a volume integral problem, and their thought process as they attempt to connect different conceptions of integration.We argue that this case study excerpt is representative of some of the hurdles that certain conceptions of integrals may lead to when solving different integral problems in physics despite students' prior success in math courses.

National Science Foundation
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Mathematics Education and Teaching Techniques
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