"On camera" refers to flashes attached to the camera. "Off camera" refers to flashes not attached to the camera, often several meters away, and operated by some means of remote control. The flash that came with your camera is called "built-in flash" or "pop-up flash". The kind you are asking about is called "hotshoe flash" or "external flash",
It is not my intent to be pedantic but rather to help with clarifying terms that can easily be misunderstood or confused. In particular, you may see talk of or examples of off-camera flash and wonder why your new hotshoe flash (which you thought was "off camera flash") produces entirely different results.
Photography is a field with a lot of jargon and misunderstanding of it can sometimes lead to mistakenly buying something other than what one intends, and none of us like paying big bucks for what ends up being a vocabulary lesson.
Last edited by Mike Cash; 01-16-2011 at 04:39 PM.