I have a nephew turning "four" today. He goes to a camp where tradition dictates that the youngest camper in attendance gets to light the very first camp fire of the season. Because his birthday falls on a Leap Year, we get to listen to him make an impassioned speech about how he should get to light the first fire every year!
It's funny, but I can't remember once being confused about why we call it "leap year" or "leap day." As a kid I guess I just accepted it. Adults had strange names for all kinds of things. Also, the last leap year was my first time voting in a presidential election. In a swing state.