Insulating pulldown stairs?

[NM_Shooter]

Is there a decent way to insulate a set of pulldown stairs? 

I need access to my "attic" and am planning on using the fold-down stairs.  It appears that they fit nicely in between the ceiling joists.  What I am thinking of doing, is mounting them as far up into the joists as I can, and then building a small insulated cover that I can insert into the hole in the ceiling. 

Is there an easier way?

[MountainDon]

We have those here at home. It's either something like you describe or build a box for in the attic. Have that insulated a to cover the upper portion and hinged to swing out of the way, if there's clearance.

If you do the way you suggest you might be able to glue a sheet of foam on the board you see from below when it is closed, and cover it with thin plywood.