A concept-heavy engineering module was offered to introduce the experience of solving full-scale real-world energy-related engineering problems within a classroom environment and prepare students to be professionally ready for the industry. The widely practiced hybrid problem-based learning (h-PBL) pedagogical approach was adopted for the first 2…

Background/purpose: Although mathematical representation ability is a significant ability and an interesting topic to study, quite a few researchers have studied this ability, and even fewer have examined it through the implementation of epistemic learning patterns based on problem-solving. In fact, this learning pattern is epistemic and makes…

Persistent difficulties in learning abstract algebraic concepts--particularly among preservice mathematics teachers--continue to hinder students' mathematical development. While prior studies have documented general misconceptions, few have grounded their analysis in comprehensive learning theories. Addressing this gap, the present study adopts…