Medals are a form of "exonumia" - objects related to coinage but not coins themselves. such are, for example, the medals included in many Royal Mint proof sets. They do not have any "face value" and are not tokens either, but can still be of interest to coin collectors.
Tokens were used in the past as a sort of privately issued money. This is no longer the case, but mints and other entities now strike medal-like objects they call "tokens", so these will be listed below as well for completeness.