If you're walking on slippery mud trekking poles can be a big help, but make sure they have adequate baskets so they too don't posthole. Gaiters are almost a necessity to keep the mud out of your boots and keep you dry. Unless you enjoy really gross experiences, leave the sandals, trail runners or sneakers at home. In really soupy conditions don't expect to move more than five to eight miles in a day. Rock strewn, boulder fields, dry rocky river beds If the rocks you're crossing are bigger than baseballs you're going to be in for a rough ride.
Rocks can shift posing a real fall hazard and increase the chances of an ankle injury.
Balancing techniques and trekking poles may not be enough, and over extreme terrain, trekking poles can become a dangerous liability. I think it goes without saying that if you're crossing a rocky area that good sturdy boots with excellent traction and ankle support are key. If you're crossing large rocks like glacier till at a terminal moraine be prepared to get on all fours and scramble. Like moving on a rough trail, make sure the foot staying on the ground is firmly placed before taking your next step. If you're carrying a heavy pack you'll want to have your center of gravity be lower, so heavier gear should be toward the center of the back and near the bottom.