Here is another option. I do quite a lot of public speaking and two things help me. First, there has to be mastery of the material. There is no way around this. If they do not know the material, they will be nervous. They will also look down at their notes, because of insecurities. So, they must know a topic thoroughly.
Second, they may want to write an outline on top of their paper. They could take the paper up, but they should do the whole speech from the outline. In this way, they are just naturally speaking to people. For this to work well, keep point 1 in mind.