In traditional science teaching, teachers expect the average student to implicitly learn and apply subtle concepts and to connect seemingly disjointed information. Teachers expect them to actively assemble the building blocks of critical thinking, often without example (Meyers 1986). The critical analysis of issues and problems is second nature to…

This paper discusses the author's personal experiences in developing and implementing a problem-based college mathematics course for liberal arts majors. This project was initiated in response to the realization that most students are dependent on "patterning" learning algorithms and have no expectation that self-initiated thinking is a…