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Results #1-#10 of 34
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Student Interpretation of the Signs of Definite Integrals Using Graphical Representations 
  
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PER Literature
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R. Bajracharya, T. Wemyss, and J. Thompson, PERC 2011 Proceedings, 111-114.
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.per-central.org/document/ServeFile.cfm?ID=11699&DocID=2576
Understanding and Interpreting Calculus Graphs: Refining an Instrument 
  
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N. Perez-Goytia, A. Dominguez, and G. Zavala, PERC 2010 Proceedings, 249-252.
The objective of this ongoing study is to refine an instrument to evaluate conceptual understanding and graphical interpretation of a function and its derivative. The instrument is…
https://www.per-central.org/document/ServeFile.cfm?ID=10465&DocID=1925
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, 215-218.
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.per-central.org/document/ServeFile.cfm?ID=11850&DocID=2701
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, 227-230.
Integration is widely used in physics in electricity and magnetism (E&M), as well as in mechanics, to calculate physical quantities from other non-constant quantities. We designed a…
https://www.per-central.org/document/ServeFile.cfm?ID=11852&DocID=2703
Physical Review Special Topics - Physics Education Research
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.per-central.org/document/ServeFile.cfm?ID=12012&DocID=2842
Physical Review Special Topics - Physics Education Research
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 integral-area relation in solving introductory physics problems. We interviewed 20…
https://doi.org/10.1103/PhysRevSTPER.7.010112
Physical Review Special Topics - Physics Education Research
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
Representation issues: Using mathematics in upper-division physics 
  
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J. Wagner, C. Manogue, and J. Thompson, PERC 2011 Proceedings, 89-92.
Upper-division students must learn to apply sophisticated mathematics from algebra, limits, calculus, multivariable and vector calculus, linear algebra, complex variables, and…
https://www.per-central.org/document/ServeFile.cfm?ID=11820&DocID=2670
When basic changes to a solution suggest meaningful differences in mathematics 
  
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M. Wittmann and K. Black, PERC 2011 Proceedings, 93-96.
When solving two integrals arising from the separation of variables in a first order linear differential equation, students have multiple correct choices for how to proceed. They…
https://www.per-central.org/document/ServeFile.cfm?ID=11821&DocID=2671
Physical Review Special Topics - Physics Education Research
Investigating graphical representations of slope and derivative without a physics context 
  
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W. Christensen and J. Thompson, Phys. Rev. ST Phys. Educ. Res., 8 (2), 023101 (2012).
By analysis of student use of mathematics in responses to conceptual physics questions, as well as analogous math questions stripped of physical meaning, we have previously found…
https://www.per-central.org/document/ServeFile.cfm?ID=12353&DocID=3079
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Results #1-#10 of 34