House breaking a puppy

House breaking has been going very well. In his one month plus time with us he has only had about 15 accidents. Most in the first week. I learned that puppies should go out every 30 minutes for the first days home and then no more than every 60 minutes between trips to the outside potty. I didn't paper train at all. I read that it can be too confusing for the puppy to learn to paper train and then be told he has to go outside. Also his greatest quantity of accidents came from his "revenge." He didn't like it if I left him in the kitchen to run to the laundry room. I then began crating him every time I had to leave him to go to another room. I was not allowing him in the first week and a half to have any access to the other rooms in the house unless he was on my lap or on a towel right next to my feet. As he became more secure with us his accidents lessened and our confidence allowed him to follow us in the house. We still don't allow him to just roam the house, but we do allow him in the rooms we are in.