Locking brakes
 

All breaks on four wheels locking up while driving

James, if your car has DSC, then I would recommend taking the car for a test drive with it off to see if things improve. If so, then you have a problem with the DSC system and it is seeing the car slipping and attempting to correct things (granted, erroneously).

If you don't have DSC or turning DSC off doesn't help things, then odds are you are looking at a bad ABS module. There isn't much more that can cause what you are seeing.