Bayesian Knowledge Tracing (BKT) is a popular interpretable computational model in the educational mining community that can infer a student's knowledge state and predict future performance based on practice history, enabling tutoring systems to adaptively select exercises to match the student's competency level. Existing BKT implementations do…

The Early Literacy Knowledge and Skills (ELKS) instrument was informed by the work of Ferreiro and Teberosky based on the notion that young children could be differentiated according to levels of sophistication in their understanding of the rules of written language. As an initial step to evaluate the instrument for teaching purposes, the present…

Mathematics is an increasingly important aspect of education because of its central role in technology (Kuenzi, 2008). Mathematical achievement tests are universally applied throughout schooling in the US to assess yearly progress. The middle school years (e.g., Grade 6-Grade 8) are especially crucial to success in mathematics because students…

Extends dynamic model of cognitive growth proposed by van Geert in three directions: (1) added a term to consider exposure to material to be learned; (2) developed method to apply model to cross-sectional studies; and (3) developed procedure to scale cognitive abilities tests with items of varying difficulty. Tests model with 2- to 15-year-olds'…