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.…

We present findings from an analysis of the Calculus Concept Inventory. Analysis of data from over 1500 students across four institutions indicates that there are deficiencies in the instrument. The analysis showed the data is consistent with a unidimensional model and does not have strong enough reliability for its intended use. This finding…