Methods of correcting vision are described. The methods include inserting a lens into a corneal epithelial pocket or a pocket created between a corneal epithelium of an eye of a patient and Bowman's membrane of the eye. A lens is inserted into the pocket to correct vision. Certain methods include one or more steps of cooling the corneal epithelium, and applying an aqueous liquid to the eye. The lenses that are inserted into the pocket can include collagen, including recombinant collagen, synthetic polymeric materials, and combinations thereof.