This article offers a critique of the validity argument put forward by Camara, Mattern, Croft, and Vispoel (2019) regarding the use of college-admissions tests in high school assessment systems. We challenge their argument in two main ways. First, we illustrate why their argument fails to address broader issues related to consequences of using…

This rejoinder provides a reply to comments on a middle school college readiness index, which was devised to generate earlier and more nuanced readiness diagnoses to K-12 students. Issues of reliability and validity (including construct underrepresentation and construct-irrelevant variance) are discussed in detail. In addition, comments from…

In an article published in "Educational Measurement: Issues and Practice," Gaertner and McClarty (2015) discuss a college readiness index based, in part, on nonacademic or noncognitive factors measured in middle school. Such an index is laudable as it incorporates important constructs beyond academic achievement measures that may be…

The Organization for Economic Cooperation and Development [OECD] is a global policy organization that includes the United States and about half of the Western Europe countries. It administers international comparison tests, called Programme for International Student Assessment (PISA), for 15 year-old students in Mathematics and other subjects. I…

The concept of symmetry is fundamental to mathematics. Arguments and proofs based on symmetry are often aesthetically pleasing because they are subtle and succinct and non-standard. This article uses notions of symmetry to approach the solutions to a broad range of mathematical problems. It responds to Krutetskii's criteria for mathematical…