As the Earth spins from west to east, the Moon slides farther each day to the east so this means that the Earth and Moon rotate in the same direction. Looking down from the north pole of Earth onto the plane of the Earth-Moon system, we would see Earth rotate counterclockwise from west to east, and the Moon orbiting in the same sense.

The above figure is from Universe Today.

Return to Dr. Odenwald's FAQ page at the Astronomy Cafe Blog.