In my Keynote Address to PME-NA 45, I offer an embodied framework for naming what makes mathematics powerful for mathematicians and scientists, yet intractable for many learners. The essential claim is this: Students reside in the Real World, where math is grounded, embodied and meaningful, while mathematics resides in the ungrounded, disembodied…

This study aimed to examine the effect of four types of assessment on overall student success in an online college-level climate change course. Quizzes, midterms, lab assignments, and a capstone project as well as knowledge check questions were used to assess different aspects of student learning, consistent with Bloom's taxonomy hierarchy.…

Playing games holds an important role in learning and development. While designing and using digital game-based learning (DGML) environments becomes more appealing to educators, there is a disconnect between the goals that educators try to achieve and the design strategies they utilize to achieve their goals. The inclusion of game elements alone…

Problem-solving skills in creative, open-ended domains are both important and little understood. These domains are generally ill-structured, have extremely large exploration spaces, and require high levels of specialized skill in order to produce quality solutions. We investigate problem-solving behavior in one such domain, the…

Collaborative learning has attracted attention as pedagogic mediation to assist learners' corpus consultation, but some studies have pointed to negative aspects of collaboration. Based on the two sides of collaboration in language learning, this study presents a qualitative investigation of different effects of collaboration depending on task…