What triggz said =)
Try checking your fluid level. Perhaps even flushing it out and adding a whole new mix in there 60% antifreeze, 40% distilled water or 50%/50% (i prefer 60/40 in the winter, it protects against lower temps than 50/50). At 60k miles i think its a good idea to do a radiator flush.
Its also a possibility that your radiator cap/float sensor went bad and just needs a simple replacement.
Most likely when that lights comes on though, its because your coolant is low. And like Triggz said above you might have a leak somewhere..although if your headgaskets are leaking into cylinders you would be getting a white smoke out the back of the tailpipes.