The resistor is there to force a particular current draw from the circuit, which gets the zener into a range where it's dynamic resistance is lower.
Zener current is given by (Vin - Vzener)/R , so if R is real small you have lots of current flowing through, and power = I^2R, so it doesn't take long before you get past the limit of a 1/2 watt resistor. Try a 300 ohm resistor, that should only be at around 0.3 Watt for a 10 volt drop.
Cheers,
Kris
PS: What value did you use? 10 ohms is way too small...100 ohms is 1 Watt for 10Volts drop.