In order to strengthen departmental collegiality and improve teaching, our mathematics department instituted a Teaching Polygon. Building on the faculty development idea of Teaching Squares, each member of our department visited one class taught by every other department member in a round-robin fashion during the school year. The visits were…

Describes an algorithm for planning college-level mathematics lessons based on the identification and achievement of student learning objectives. Discusses the ways in which this algorithm can help novice instructors to include opportunities for active learning in their lessons. (Contains 50 references.) (Author/ASK)