Testing students on information that they do not know might seem like a fruitless endeavor. After all, why give anyone a test that they are guaranteed to fail because they have not yet learned the material? Remarkably, a growing body of research indicates that such testing--formally known as "prequestioning" or…

Gateway science courses are an ongoing obstacle to recruitment into STEM fields (Science, Technology, Engineering, and Mathematics). Students come into courses that have a high cognitive load, which makes success in the course challenging. Instructional design can be used to reduce cognitive load. The findings demonstrate that leveraging pre- and…

Relating mathematical concepts to graphical representations is a challenging task for students. In this paper, we introduce two visual strategies to qualitatively interpret the divergence of graphical vector field representations. One strategy is based on the graphical interpretation of partial derivatives, while the other is based on the flux…

From the perspective of parallel mixed-methods research, this paper describes interactivity research that employed usability-testing technology to analyse cognitive learning processes; personal learning styles and times; and errors-and-recovery of learners using an interactive e-learning tutorial called "Relations." "Relations"…