It used to "spin" as you would think of it. But over many years the energy of that angular momentum was transferred to it's orbital velocity.
It's spin slowed down, and it flung itself out further from the earth. Now its spin rate is equal to its orbital rate, so one side faces the earth
constantly, more or less (there is a little bit of wobble left).
One day, earths spin relative to the moon will stop, too. At that point, one side of the earth will face one side of the moon, constantly. However,
at that time they will be so far from each other that you would barely be able to see any surface features of the moon from earth, it would look so
small.


