I just know I'm going to get flamed for this...
All the more reason to post it!
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Psionics, in simple terms, is the manipulation of a mysterious (and as far as I know, undetectable by science, but I may be wrong) energy created by the body, refered to as Psi.
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There are several branches of Psionics, including
Psychokinesis/Telekinesis (interchangeable for the most part)
Constructs (Creating things ranging from simple psi-balls, to complex things such as sentient constructs)
ESP (extra sensory perception)
Scanning (sensing people when you otherwise wouldn't be able to)
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Tutorials!
Getting started with Psionics is fairly easy, the first thing you can do is learn how to make a Psi-ball, and I just so happen to have a few tutorials on the subject.
http://www.psipog.net/art-psiballs-epic-tale.html <- a long article
http://www.psipog.net/art-psiballs-tactile-method.html <- a bigger page, but a shorter article due to pictures. (I reccomend this one).
anyway, most people can make a Psi-ball within their first few attempts, I also recommend poking around the following websites if you are interested in further advancing your newfound Psionic abilities.
http://www.psipog.net/home.html <-dead, but very relevent articles
http://www.psionguild.org/coverpage.html <-might be dead, but lots of good tutorials
http://www.psionicsonline.net/about-psionics <- just found this website, seems to have some good information.
also, even if you are just fooling yourself into thinking your are doing something you aren't, and I admit this is a possibility, It's a damn cool illusion to create a Psi-ball,
give it a try!