We recommend that they get the latest version of Skype. For example, music streaming applications such as Spotify, or file-sharing applications such as iTunes. Check that you have enough bandwidth to share your screen, and close all applications that may be using your bandwidth or slowing your computer down. Make sure that you and the person you are sharing your screen with are using a version of Skype that supports screen sharing.
If you're not in a call, you won't have the option to share screens. You need to be in a voice or video call with the person you want to share your screen with.