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1.
Student Difficulties with Trigonometric Vector Components Persist in Multiple Student Populations
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B. Mikula and A. Heckler, PERC 2013 Proceedings, 253-256.
Students in introductory physics courses sometimes struggle to correctly break down a single vector into its components when provided only with an arrow, a magnitude, a reference…
https://www.per-central.org/document/ServeFile.cfm?ID=13176&DocID=3723
2.
Student difficulties with complex numbers
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E. Smith, J. Zwolak, and C. Manogue, PERC 2015 Proceedings, 311-314.
Complex numbers and functions are used in multiple subfields in undergraduate physics. We use pretests, quizzes, and exams administered throughout the junior year to identify…
https://www.per-central.org/document/ServeFile.cfm?ID=13897&DocID=4315
3.
Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra
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E. Smith, J. Zwolak, and C. Manogue, Phys. Rev. Phys. Educ. Res.,
15
(1), 010138 (2019).
Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to…
https://doi.org/10.1103/PhysRevPhysEducRes.15.010138
4.
The Precalculus Concept Assessment: A Tool for Assessing Students’ Reasoning Abilities and Understandings
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M. Carlson, M. Oehrtman, and N. Engelke, Cog. Instr.,
28
(2), 113-145 (2010).
This article describes the development of the Precalculus Concept Assessment (PCA) instrument, a 25-item multiple-choice exam. The reasoning abilities and understandings central to…
https://doi.org/10.1080/07370001003676587
5.
Precalculus Concept Assessment: A predictor of AP Calculus AB and BC scores
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R. Meylani and D. Teuscher, Thirty-Third Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, 787 - 794 (2011).
This study establishes a theoretical framework for predicting the American College Testing (ACT) Mathematics sub-score and AP Calculus AB and BC scores from the Precalculus Concept…
https://www.researchgate.net/publication/317348946_PRECALCULUS_CONCEPT_A...
6.
Mechanics Cognitive Diagnostic: Mathematics skills tested in introductory physics courses
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V. Le, B. Van Dusen, J. Nissen, X. Tang, Y. Zhang, H. Chang, and J. Morphew, PERC 2024 Proceedings, 243-249.
Physics instructors and education researchers use research-based assessments (RBAs) to evaluate students' preparation for physics courses. This preparation can cover a wide range of…
https://www.per-central.org/document/ServeFile.cfm?ID=16903&DocID=5970
7.
A study of undergraduates' understanding of vector - decomposition of forces on inclined planes
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D. Liu and H. Mohattala, PERC 2021 Proceedings, 233-238.
Students often struggle to decompose a vector, especially when calculating the force components of an object on an inclined plane. In this study, we designed an online vector survey…
https://www.per-central.org/document/ServeFile.cfm?ID=15758&DocID=5490
8.
Supporting student quantitative skills across introductory STEM courses: faculty approaches and perceived needs
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M. Eblen-Zayas, E. Altermatt, L. Muller, J. Leamon, and S. Richard, PERC 2020 Proceedings, 137-142.
We present the results of a survey of 220 faculty members at selective liberal arts colleges who teach introductory STEM courses. The survey was designed to learn how these faculty…
https://www.per-central.org/document/ServeFile.cfm?ID=15472&DocID=5320
9.
Retention and Transfer from Trigonometry to Physics
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D. Ozimek, P. Engelhardt, A. Bennett, and N. Rebello, PERC 2004 Proceedings, 173-176.
We examined the extent to which students retained and transferred various concepts from trigonometry to physics at the introductory college level. Online trigonometry homework…
https://www.per-central.org/document/ServeFile.cfm?ID=9560&DocID=2863
