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1.
Student Interpretation of the Signs of Definite Integrals Using Graphical Representations
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R. Bajracharya, T. Wemyss, and J. Thompson, PERC 2011 Proceedings, 111114.
Physics students are expected to apply the mathematics learned in their mathematics courses to physics concepts and problems. Few PER studies have distinguished between difficulties…
https://www.percentral.org/document/ServeFile.cfm?ID=11699&DocID=2576
2.
Students' understanding and application of the area under the curve concept in physics problems
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D. Nguyen and N. Rebello, Phys. Rev. ST Phys. Educ. Res.,
7
(1), 010112 (2011).
This study investigates how students understand and apply the area under the curve concept and the integralarea relation in solving introductory physics problems. We interviewed 20…
https://doi.org/10.1103/PhysRevSTPER.7.010112
3.
Students' difficulties with integration in electricity
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D. Nguyen and N. Rebello, Phys. Rev. ST Phys. Educ. Res.,
7
(1), 010113 (2011).
This study investigates the common difficulties that students in introductory physics experience when solving problems involving integration in the context of electricity. We…
https://doi.org/10.1103/PhysRevSTPER.7.010113
4.
Teaching integration with layers and representations: A case study
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J. Von Korff and N. Rebello, Phys. Rev. ST Phys. Educ. Res.,
8
(1), 010125 (2012).
We designed a sequence of seven lessons to facilitate learning of integration in a physics context. We implemented this sequence with a single college sophomore, “Amber,” who was…
https://www.percentral.org/document/ServeFile.cfm?ID=12012&DocID=2842
5.
Problembased learning in upper division courses: Student successes, perceptions, and reactions
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G. Duda and J. Ross, PERC 2011 Proceedings, 183186.
This paper presents an experiment in project/problembased learning (PBL) in an upper division mathematical physics course. The group project in the course involved modeling a zombie…
https://www.percentral.org/document/ServeFile.cfm?ID=11842&DocID=2693
6.
Making sense of quantum operators, eigenstates and quantum measurements
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E. Gire and C. Manogue, PERC 2011 Proceedings, 195198.
Operators play a central role in the formalism of quantum mechanics. In particular, operators corresponding to observables encode important information about the results of quantum…
https://www.percentral.org/document/ServeFile.cfm?ID=11845&DocID=2696
7.
Scaffolding students' application of the 'area under a curve' concept in physics problems
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D. Hu, J. Von Korff, and N. Rebello, PERC 2011 Proceedings, 215218.
We carried out several experiments in which we used sequences of physics problems to investigate students' ability to apply calculus concepts in physics problems. In this paper, we…
https://www.percentral.org/document/ServeFile.cfm?ID=11850&DocID=2701
8.
Assessing students' ability to solve introductory physics problems using integrals in symbolic and graphical representations
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N. Khan, D. Hu, D. Nguyen, and N. Rebello, PERC 2011 Proceedings, 227230.
Integration is widely used in physics in electricity and magnetism (E&M), as well as in mechanics, to calculate physical quantities from other nonconstant quantities. We designed a…
https://www.percentral.org/document/ServeFile.cfm?ID=11852&DocID=2703
9.
Classical Mechanics/Math Methods I: Course Materials
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S. Pollock; Publishers: Science Education Initiative at the University of Colorado and University of Colorado at Boulder 
Online Resource
This website provides the materials to teach a transformed sophomorelevel classical mechanics/math methods course. The provided course is the first semester of a twosemester…
https://physicscourses.colorado.edu/EducationIssues/ClassicalMechanics/
10.
Observations on student difficulties with mathematics in upperdivision electricity and magnetism
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R. Pepper, S. Chasteen, S. Pollock, and K. Perkins, Phys. Rev. ST Phys. Educ. Res.,
8
(1), 010111 (2012).
We discuss common difficulties in upperdivision electricity and magnetism (E&M) in the areas of Gauss’s law, vector calculus, and electric potential using both quantitative and…
https://www.percentral.org/document/ServeFile.cfm?ID=11916&DocID=2805

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Results #1#10 of 100+