Why standing waves are called standing?

Answer 1

Because the peaks and valleys of wave motion do not move. Only the vibrating medium moves, at the frequency of the wave.

Standing waves are caused by a pair of matched (amplitude/frequency) travelling waves moving in opposite directions.

I will try to find a website with an illustration or video of what is meant

Answer 2

http://www.youtube.com/watch?v=3BN5-JSsu_4