Why does a ps3 controler not charge or turn on?

It probably does but, you just aren't giving it enough time to charge. If you are make sure the remote is actually plugged into the charger. The remote won't turn on because it might still need a charge.

I found that I needed to auto turn off the controller in settings when I turned off the PS3. I also did not realize that they do not recharge while the PS3 system is off and they will lose there power if not turned off.