Burglary: (AKA breaking and entering) occurs when a criminal steals an item from inside your home, such as your TV that is stolen when you are at work. Burglary also occurs when items are stolen from a garage or shed. There is no interaction between the criminal and the homeowner.
Robbery: occurs when there is an interaction between the criminal and homeowner during a crime. Typically the criminal threatens the homeowner with a weapon as part of the interaction.