The purpose of this study was to examine the psychometric properties of the Precalculus Concept Assessment (PCA), a 25-item multiple-choice instrument designed to assess student reasoning abilities and understanding of foundational calculus concepts (Carlson et al., 2010). When this study was conducted, the extant research on the PCA and the PCA…

In this article, we discuss the development and the administration of a multiple-choice test, which we named "Test of Calculus and Vectors in Mathematics and Physics" (TCV-MP), aimed at comparing students' ability to answer questions on derivatives, integrals, and vectors in a purely mathematical context and in the context of physics.…

The need to incorporate active learning (AL) in higher education has become a prominent issue discussed by major leadership organizations such as the Conference Board of Mathematical Sciences (CBMS, 2016). These calls for AL are based on a large and growing body of research documenting the correlation between AL use and reduced failure rates,…

Computer-based testing is an expanding use of technology offering advantages to teachers and students. We studied Calculus II classes for science, technology, engineering, and mathematics majors using different testing modes. Three sections with 324 students employed: paper-and-pencil testing, computer-based testing, and both. Computer tests gave…