Difficult terrain includes the following:
Brush, scrub and other clinging vegetation.
Debris, wreckage, loose rocks, boulders.
Fords, streams or shallow water.
Marshes, bogs or thick mud.
Soft sand.
Stairs, steps or ladders.
Steep or treacherous slopes. This can include hills if both players agree to it before the game, but otherwise hills are considered to be 'open' terrain.
Woods or dense foliage.
Troops cross difficult ground at 1/ their normal rate. So if your unit has a normal move of 4" it can only move 2" through a wood.
If troops move over open ground and difficult terrain during the same turn, then their movement over the open ground is at full rate and that over difficult ground is reduced exactly as normal. For example, a Man moves 2" across open ground and then enters a wood. He now has 2" of his move left. This is halved for the difficult terrain so he only move a further 1" through the wood.