does the elevator stick go down on the control box does the elevator go down to to bring the plane down

No. When you pull back on the elevator stick, the elevator moves up, and so does the nose of the plane.

When you push the elevator stick forward, the elevator moves down, and the nose of the plane also goes down.

- Jeff

Check this site out:

http://www.gettingairborne.com/radios.html

Our controls are set up to mimic the stick in an aircraft.

If you were sitting in the plane and wanted to raise the nose you would pull back on the stick.  Thus the term "pull up".

If you wanted to push the nose down you would push the stick forward.

Likewise the left and right movement of the stick mimics the stick on a full scale aircraft.