Ingo Kollar

The effects of ICAP learning activities on learning outcomes

Background The Interactive-Constructive-Active-Passive (ICAP) framework makes assumptions about the relationships between observable types of learning activities (passive, active, constructive, interactive), cognitive processes, and learning outcomes. Yet, rigorous empirical stud...

What constitutes successful collaborative conjecturing-and-proving processes? Relations between beginning undergraduates’ resources, conjecturing-and-proving processes, and performance

Abstract Students’ difficulties with mathematical argumentation, conjecturing, and proving, as well as with collaborating effectively, have long been documented in the literature. While there is some research on what constitutes successful proving processes, systematic investigat...