One sure way to get better compositions is to bracket them. This means taking multiple compositions of the same subject, changing something about the photograph each time.
One way to do this is to take your best photo of the subject, then ask yourself, “Where is the next photo of this subject?” You take that picture, then ask yourself again, “Where is the next photo?” This forces you to really look at your subject and to find true photographs that go far beyond a simple snapshot.
With the digital camera, take a picture and then look at it in the LCD. Look at it and see what you could do differently with that same subject, and then try that shot and review it in the LCD. Do the same thing — look critically at the little picture and ask yourself how it could be changed (not simply improved). Your objective is to try lots of different compositions that may lead you to better shots, not necessarily to make every shot better than the previous one.