Teresa: to All Things Plants and great growing with those lovely Elephant Ears!
I agree with Hetty and Ken; the leaves of your plants will die back but a thick layer of mulch should protect the tubers and they should re-sprout next spring. Elephant Ear (Colocasia esculenta) are very tough plants.
~ I'm an old gal who still loves playing in the dirt!
~ Playing in the dirt is my therapy ... and I'm in therapy a lot!