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…

One of the challenges experienced by students of instructional design is eliciting user participation when designing and developing products for course or program projects, particularly over multiple cycles of evaluation. Student projects do not normally have budgets to engage recruitment companies or provide participant incentives. This paper…