Solving a constructed-response item usually requires successfully performing a sequence of tasks. Each task could involve different attributes, and those required attributes may be "condensed" in various ways to produce the responses. The sequential generalized deterministic input noisy "and" gate model is a general cognitive…

Previous studies about ELs have reported data on active English Learners--defined as those students who have not yet reached proficiency on a state English test--at a specific moment in time. This study, for the first time, analyzed the long-term trajectories of 18,000 CPS students who began kindergarten as ELs and followed their progress all the…

Enrollment in eighth-grade algebra doubled from the 1990s to 2012 (National Center for Education Statistics, 2013) as research demonstrated that Algebra I operates as a "gateway" to advanced mathematics courses in high school (Adelman, 2006), and that students who succeed in Algebra I in middle school have more success in mathematics…

There is a very large population of students who struggle with the transition from the middle grades to high school, raising concerns that high school failures are partially a function of poor middle grade preparation. As a result, middle grade practitioners are grappling with questions about what skills students need to succeed in high school,…

The transition from eighth grade to high school results in a substantial drop in course performance for many students. These declines in performance lead students to fall off-track for obtaining high school and college degrees. By using data on students' middle grade performance, high school staff can set goals for their students to help them meet…

Preparation for college and careers begins when students are young, yet, it can be difficult for middle grade educators to know how best to prepare these students for future success. Middle grade practitioners need to know what to pay attention to and who needs additional support. Without knowing how to identify students who are on-track for high…

For one reason or another, various sources of information, namely, ancillary variables and correlational structure of the latent abilities, which are usually available in most testing situations, are ignored in ability estimation. A general model that incorporates these sources of information is proposed in this article. The model has a general…