BE CAREFULL WHEN DOING THIS!!!
Here is how to check a 220-240 volt element:
Energize the element, hold the two probes on your meter on both sides of the element, you should read the proper voltage (240 volts in your case) If you do, and the element is still not heating, then you have a faulty element. If you DONT, then your problem is elsewhere.
The reason I told you to be carefull is so you dont get electricuted. Also dryer elements heat very quickly, and MUST have airflor running through them, or they could overheat and burn up (I learned the hard way here)
However if its not heating, you probobly wont have to worry about an element "burning up" before your eyes.
Here is a wiring diagram for a kenmore dryer, whether or not its your model, I dont know, but it should give you some refrence points to say the least:
Plant one lead of your meter on L2, perhaps at on the right side of the element as depicted in the drawing, then test the other side of the element. Then check the high limit, then the operating thermostat, then the thermal cut off, then finally the timer switch 2 (your diagram or machine may vary slightly). One of these checks should reveal the culprit.
Do not refrence to ground! Troubleshooting to ground will only lead you down the wrong path on this circuit. Always refrence to you oposite potential. (this case being L2) Remember when checking for voltages, the machine needs to be in the "running".