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…
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…
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…
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…
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…
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…