Falling objects

Why do objects of different masses dropped from the same height always fall at the same velocity, and experience the same acceleration? I have some vauge idea, but I'm not entirely sure.

Larger masses have a greater force on them, so you'd expect them to fall faster.

My physics teacher couldn't really explain this without showing me two formulas, equating them, and then cancelling out the "m"s. I'd rather have an explaination that gives me an understanding of what's going on.

Oh yeah, neglect air resistance.

>>8 FAIL

The accelleration is due to a mysterious force called gravity. We don't really know much about how gravity works, only that it does and every mass has a gravitational pull. Larger object DO fall faster, but the difference is so small that we can not possibly measure it. "Falling" is a result of the gravitational forces from the planet and the falling object attracting.