Coordinator: Prof. Jyotsna Vijapurkar
Problem posing and solving are central to Mathematics. Both require explorations. Some are pretty standard and routine, but some are quite adventurous. Mathematical Olympiad, a pre-college international mathematics contest aimed at identifying school students with exceptional mathematical problem solving ability, seeks out the adventurer in both the problem poser and the solver. I shall discuss some examples to show how such problems are made and also highlight the ideas explored.
Admittedly, mathematical explorations are not confined to only posing problems for and solving them in mathematical contests. They can be used to make school mathematics more interesting and enjoyable to students and teachers alike. In support of this claim I shall present some explorations.