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…

Mathematics contests, such as the American Mathematical Association of Two-Year Colleges' Student Mathematics League competition, are an excellent vehicle for identifying talented students and promoting mathematics scholarship. On-campus tournaments can supplement the Student Mathematics League national competition, by providing immediate feedback…

Recent reports on mathematics education reform have focused the attention of educational practitioners and policymakers on new goals for mathematics education and new descriptions of mathematical proficiency. QUASAR is a national project (Quantitative Understanding: Amplifying Student Achievement and Reasoning) designed to improve the mathematics…