May 29, 2013 - 09:04 PM
Try touching various parts of the screen to see if the device is responding at all. The iTouch screen is heat-sensitive and should respond to the touch of a human finger when little pressure is applied.
Contact Apple for support online if the broken screen has a physical flaw, like a crack, or it isn't responding to your touch. If you are still within the 1-year warranty or you have Apple Care, the techs there will fix the problem for free if you send it back to the manufacturer.