Personalized problem selection enhances student practice in tutoring systems. Prior research has focused on transparent problem selection that supports learner control but rarely engages learners in selecting practice materials. We explored how different levels of control (i.e., full AI control, shared control, and full learner control), combined…

Teacher learning in asynchronous online professional development (PD) is often assessed through self-reported instruments, despite uncertainties regarding teachers' ability to accurately self-assess their learning gains in such settings. This study compared middle school mathematics teachers' self-perceived and observed learning gains in content…

In this study, we explore the application of process mining techniques on assessment log data to explore problem-solving strategies in Algebra. By analyzing sequences of student activities, we demonstrate the significant potential of process mining in identifying problem-solving strategies that lead to successful and unsuccessful outcomes. Our…

From early in life, children learn to perform actions on the objects in their environments. Although children learn from observing others' actions, actively engaging with the material to be learned can be important for learning. This study tested whether instruction that included opportunities for children to be active supported toddlers' action…

Investigators often rely on the proportion of correct responses in an assessment when describing the impact of early mathematics interventions on child outcomes. Here, we propose a shift in focus to the relative sophistication of problem-solving strategies and offer methodological guidance to researchers interested in working with strategies. We…

We examined students' naturalistic decisions about spacing their study in an undergraduate course (N=185) and whether self-selected spacing predicted course performance. Usage of two study tools -- an online textbook and quiz tool -- was recorded daily. We operationalized spacing as how often the tools were used and the timing of their use…

Spatial thinking permeates much of our lives and is an asset when solving problems involving well-structured visual information or imagining solutions in physical or digital space. However, an estimated three million US school children have spatial talents that go unrecognized because of the tools commonly used for identification of academic…

In this introductory article, we explain the rationale for this special issue: to provide educators and families with effective, practical strategies to increase student engagement and minimize disruption in remote, in person, and hybrid learning environments. We offer this special issue out of respect for the complexities educators and families…

We investigated the effects of proximal grouping of numbers, problem-solving goals to make 100, and prior knowledge on students' solution strategies in an online mathematics game. Logistic regression on 857 problem-level data points from 227 middle-school students showed that students were more likely to use productive solution strategies on…

Prior knowledge has long been recognized as an important predictor of learning, yet the term prior knowledge is often applied to related but distinct constructs. We define a specific form of prior knowledge, ancillary knowledge, as knowledge of concepts and skills that enable learners to gain the most from a target lesson. Ancillary knowledge is…

Developing young children's vocabulary is essential for later reading success; thus, early childhood classrooms require a comprehensive vocabulary approach that teaches academic vocabulary. Yet even providing young children with child-friendly definitions of sophisticated words can be a challenge. First, the authors outline the components of a…

When researchers code behavior that is undetectable or falls outside of the validated ordinal scale, the resultant outcomes often suffer from informative missingness. Incorrect analysis of such data can lead to biased arguments around efficacy and effectiveness in the context of experimental and intervention research. Here, we detail a new…

Prior research shows that self-explanation promotes understanding by helping learners connect new knowledge with prior knowledge. However, despite ample evidence supporting the effectiveness of self-explanation, an instructional design challenge emerges in how best to scaffold self-explanation. In particular, it is an open challenge to design…

Feedback in educational technologies can teach and engage students in math, but questions remain on how to present failure feedback that supports positive learning behaviors. We explore how error- and reward-based feedback influenced students' choices to replay completed problems in "From Here to There!," a math game-based educational…

A continuous topic of discussion in postsecondary success contexts is how institutions can assist students who need developmental education support. As part of an ongoing move away from lengthy developmental course sequences that delay students' time-to-degree completion, corequisite education models allow students to enroll in developmental…