Wandering denotes movement that is not purposefully directed towards a particular goal. Those who roam move around with little forward planning but generally show more energy than the wanderer. Rove is a rather old-fashioned word meaning travel constantly without a fixed long-term destination, but is now most commonly used as roving, which conveys quite a strong sense of purpose. Range is a less common word, indicating movement that is free from restrictions or constraints and is usually over a wide area but is nevertheless purposeful.