how does the moon move through space ?

Answer 1

Quickly? In an elliptical orbit?

Since this is not my area of expertise, I searched Google under the key words "moon movement" to get these possible sources:

http://www.google.com/search?client=safari&rls=en&q=moon+movement&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.