The Towers of Hanoi game is a very clean, effective puzzle to learn problem solving, and also learn problem analysis. It’s easy to play with 2-3 discs, and becomes more challenging for inexperienced people with more discs.
After learning the method to solving, it becomes easy, where each additional disc simply doubles the time it takes to solve the puzzle. The real challenge then becomes keeping track of which level within which stack you need to move.
I often refer to this puzzle in conversation, when doing things in life that require moving lots of stuff, physically, mentally, emotionally. It’s come up in my facebook status messages.