Developing Mathematical Reasoning in Introductory Physics: Early Results from a PQL Intervention

Physics Quantitative Literacy (PQL) embodies the nuanced mathematical reasoning skills that are essential in physics contexts. PQL is shown to be challenging to characterize and assess; the Physics Inventory of Quantitative Literacy (PIQL) is a reasoning inventory that provides a means to assess this construct*. Prior studies show limited gains in all of the courses in which this assessment instrument has been administered – regardless of the level of research-validated interactive engagement activities used in the course.

This talk presents results from a pilot study designed to enhance PQL through targeted instructional interventions. The primary intervention was implemented in introductory calculus-based electricity and magnetism (E&M), with supporting activities introduced in the preceding mechanics course. I will describe the design and implementation of these interventions, summarize the PIQL gains observed, and discuss ongoing field testing in mechanics and E&M courses during the Fall 2025 and Winter 2026 quarters.

*White Brahmia et al. (2021), Phys. Rev. Phys. Educ. Res. 17, 020129, DOI: https://doi.org/10.1103/PhysRevPhysEducRes.17.020129