The objective of this dissertation was to explore the paradoxical nature of Combinatorics as both a difficult and accessible domain in Mathematics, particularly for K-12 students. This paradox in Combinatorics' nature raised questions about how students interact with problems in this domain and the factors influencing their understanding and…

Principals (policy makers) have debated the progress in U.S. student performance for a half century or more. Informing these conversations, survey agents have administered seven million psychometrically linked tests in math and reading in 160 waves to national probability samples of selected cohorts born between 1954 and 2007. This study is the…

Across five continents, operant testing schemes are the assessment equivalent of an English jumble sale. Test types, rationales, preparation times, and scoring practices are equally diverse in Australia, Brazil, Canada, the Czech Republic, England, Germany, Israel, and Japan. Most systems are in flux or under scrutiny. (MLH)