They say that people fear public speaking, more than they fear death. I think that's because most people don't know what they'd like to say in a speech. People's reactions would be different if someone asked "are you scared of public speaking" versus "would you be scared to give a speech on [insert speech topic here] if I helped you gather some materials to talk about and helped you practice once or twice?"
As people, we often get ourselves scared about abstract possibilities (in this case a speech) when we don't have step-by-step or even stage-by-stage instructions to do something about whatever we're scared about.
So then, how do to deliver a knock-their-socks-off public speech?
1. know your stuff
Anyone who fumbles on the important information will be discredited. So an important thing to do is be over-prepared. When at the university, I used to read books in the bibliography of the books I had to read for class (history classes, nothing hard like o-chemistry). So when it came time to write an essay or answer a question in class, I could quote the author's sources. Who impressed the teachers, and was the bane of his classmates?
1. Practice two versions of the speech
One way to further your mastery of the material, is to write two speeches about the same thing, and practice both of them for a little bit. Having two speeches written and practices makes you more comfortable not only in knowing your stuff, but also delivering the goods in different ways. To score consistently, you need to be able to shoot a three-pointer and drive to the bucket, not just one or the other.
1. Never talk to an audience
Audiences can be overwhelming, just like those abstract possibilities that we frighten ourselves with. And just as we beat our fears when we have a plan, we need a plan to deal with the audience. An audience is composed of tens or hundreds of individuals. Don't speak to the tens or hundreds, speak to the individuals.
Even Nascar drivers report having moments during 230mph races where they get flashes of a fan's facial expression frozen in time. If they see an individuals' face at 230mph, you can do it while standing still!
Focus your eyes and your attention on one person at a time. They find that great teachers tend to look their students straight in the eye while they talk. This signals to the student they are talking to, and the other students, that the teacher literally has their eyes and attention on the student(s), while delivering the information.
By making eye contact with a person for two or three sentences, then move to the next person, you are capturing their individual attention, and you are talking to individual humans. A by-product of looking individuals in their eyes keeps your sight and attention off of the crowd. Remember, it's much easier to talk to an individual than a crowd. By focusing your attention and your eyes on individuals, the crowd actually disappears for you.
What's with the fuzzy math?
Well, each of these is as important than the other. Though they happen in stages, for each stage, that stage is the most important thing. Like Roger Merrill said in his book "the main thing is to keep the main thing the main thing", and I'm pointing out the main things of each stage.

