Watch the new moon rising on the crest of the hill. (Jerry)

To be dreadfully pedantic, the new (and very old) moon rises and sets with the sun. When it's waning it rises/sets just before the sun, and when its rising, it rises/sets just after the sun. It slips about an hour a day, and two weeks later the full moon rises when the sun sets, and sets when it rises. My personal mnemonic to tell the half moons apart is "the waning moon weeps in the west," i.e. the horns point to the west.