A problem sometimes called Moser's circle problem where a circular region has to be partitioned with chords without any three chords intersecting at one point, is discussed. It is shown that Moser's circle problem makes the students to use a variety of mathematical tools to find correct solutions to problems and gives an opportunity to think about…

Combining both the Western perspective of creativity as productivity and the Eastern perspective of creativity as enlightenment, a Program for Enlightened and Productive Creativity (PEPC) for teaching inquiry was devised. The PEPC describes stages through which a student is guided to solve a problem using increasingly complex observation, inquiry,…

Explores the following classical problem: given any 30 points on a circle, join them in pairs by segments in all possible ways. What is the greatest number of nonoverlapping regions into which the interior of the circle can be separated? Presents strategies for solving this problem. (PK)