What kind of Dancing: Irish step dancing, Scottish Highland dancing, all kinds of traditional Celtic dances.
Irish step dancing: Irish step dancing is a traditional Irish dance. For Irish step dancing there are hard shoe and soft shoe.
Hard show sometimes does not use music, the shoe makes the sound! Hard shoe is a little more advanced then soft shoe.
Soft shoe almost always has music.
A hard shoe is hard and a soft shoe (called ghillies) is soft!