Memory Alpha (http://memory-alpha.org/en/wiki/Glasses) has this to say on the matter: Captain James T. Kirk was allergic to Retinax V, the conventional ways of correcting vision, so Dr. Leonard McCoy provided him with a pair of antiquated glasses. However, the glasses broke following the conflict with Khan Noonien Singh and his followers. (Star Trek II: The Wrath of Khan) Kirk would end up selling the glasses at an antique shop on 20th century Earth in exchange for currency needed to accomplish their mission to save Earth in the future. (Star Trek IV: The Voyage Home)
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Captain James T. Kirk was allergic to Retinax V, the conventional ways of correcting vision, so Dr. Leonard McCoy provided him with a pair of antiquated glasses. However, the glasses broke following the conflict with Khan Noonien Singh and his followers. (Star Trek II: The Wrath of Khan) Kirk would end up selling the glasses at an antique shop on 20th century Earth in exchange for currency needed to accomplish their mission to save Earth in the future. (Star Trek IV: The Voyage Home)