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Brigham Young University

Mathematics education

2021

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A Psychometric Analysis Of The Precalculus Concept Assessment, Brian Lindley Jones Apr 2021

A Psychometric Analysis Of The Precalculus Concept Assessment, Brian Lindley Jones

Theses and Dissertations

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 Taxonomy lacked in-depth investigations of the instruments' psychometric properties. Most notably was the lack of studies into the validity of the internal structure of PCA response data implied by the PCA Taxonomy. This study specifically investigated the psychometric properties of the three reasoning constructs found in the PCA taxonomy, …