In this article, we describe and illustrate the process by which we developed and validated short, multiple-choice, reliable tests to assess undergraduate students' comprehension of three mathematical proofs. We discuss the purpose for each stage and how it benefited the design of our instruments. We also suggest ways in which this process could…

With the increasing popularity of online learning in higher education comes a need to examine students' perceptions about classroom climate in these environments. This two-part study proposes the online learning climate scale (OLCS) for doing so. Informed by both instructional communication and education, the scale consists of several variables…