Having a annoying problem with unity 5

I just started with unity version 5. And creating a new and simple game, I noticed a big problem with parents.

I created a empty object and a cube.

The empty Object is the father and the cube is the child.

When I move the empty object, the cube of course move. BUT, when I move the cube (which is the child) the empty object moves TOO!

I tried creating two cubes, one as father and the other one as child. I tested and when I move the child one, the cube father's axis, moved to the center between it and the child. what is going on???

here is some screenshots to explain.

 

Did the transform values change? Try changing to World Space, or vise versa, to Local Space.

 

You see right at the top of the scene, next to the toolbar, is a button that says "center". If you hover over it, you will see the hint say "the tool handle is placed at the center of the selection".

If this is not what you want, then click it and change it to "pivot".