Educational technologies in mathematics typically focus on fostering either procedural knowledge by means of structured tasks or, less often, conceptual knowledge by means of exploratory tasks. However, both types of knowledge are needed for complete domain knowledge that persists over time and supports subsequent learning. We investigated in two…

Educational Badges are touted as an alternative assessment that can increase learner motivation. We considered two distinct models for educational badges; merit badges and videogame achievements. To begin unpacking the relationship between badges and motivation, we conducted a study using badges within an intelligent-tutor system for teaching…

In this paper, guidelines for designing virtual change agents (VCAs) are proposed to support students' affective and motivational needs in order to promote personalized learning in online remedial mathematics courses. Automated, dynamic, and personalized support is emphasized in the guidelines through maximizing "interactions" between VCAs and…