You can do so with the help of the %adm-OperationDescription% value reference. Insert it in the e-mail notification template, and on notification sending, this value reference will be replaced with detailed information about the operation.
For example, if user's telephone was updated, the %adm-OperationDescription% value reference will be replaced with the following: Modify 'John Doe (example.com\Users)': set Telephone Number to '+41635468421'