The authors have found that having students learn accessible standard algorithms by explaining them using mathematics drawings increases students' sense of place--value numbers and enables students to articulate their understanding of what is actually happening with the numbers and why. In this article, they will discuss three standard algorithms…

The adaptive learning problem concerns how to create an individualized learning plan (also referred to as a learning policy) that chooses the most appropriate learning materials based on a learner's latent traits. In this article, we study an important yet less-addressed adaptive learning problem--one that assumes continuous latent traits.…

As emerging technologies are rapidly advancing as part of our societies and everyday life, it is crucial to include and empower all students in learning about computing and advanced technologies. These include technical capabilities of algorithms, such as the use of AI, that enable novel interactions between humans and their environment and give…

The unit factor method, a generic strategy for solving any proportion-related problem, is known to be effective at reducing cognitive load through unit-cancellation providing step-by-step guidance. However, concerns have been raised that it can be applied mindlessly. This primarily quantitative prepost study investigates the efficacy of…

Impediments that hamper learning statistics, the relative characteristics of successful and unsuccessful learners, and the nature of interventions required to make learning statistics successful and meaningful were studied. Twenty graduate and 15 undergraduate students in different fields from a large public university, a small private college,…