Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of a LT approach--that instruction should be presented (only) one LT level beyond a child's present level. We evaluated this hypothesis in the domain of early shape composition. One group of preschoolers, who were…

The effectiveness of an experimental middle school fraction intervention was evaluated. The intervention was centered on the number line and incorporated key principles from the science of learning. Sixth graders (N = 51) who struggled with fraction concepts were randomly assigned at the student level to the experimental intervention (n = 28) or…

This article presents findings from an intervention across sixth and seventh grades to teach academic words to middle school students. The goals included investigating a progression of outcomes from word knowledge to comprehension and investigating the processes students use in establishing word meaning. Participants in Year 1 were two sixth-grade…

This study investigated: 1) the influence of alphabet instructional content (letter names, letter sounds, or both) on alphabet learning and engagement of English only and dual language learner (DLL) children, and 2) the relation between children's initial status and growth in three underlying cognitive learning processes (paired-associate,…

Intelligent Tutoring Systems (ITSs) are beneficial for individual students learning in several domains, including mathematics where they have been used to support both secondary and elementary students. Collaborative learning may be beneficial to include in ITSs, particularly for conceptual knowledge. There is little work on collaborative ITSs,…