Regarding jdoll's comment about heat generation, would the solution be to wire the +5 of the circuit to a digital output and set it high shortly before taking a reading, then setting it low immediately after? If so, any suggestions on how long before taking the reading to set the output high to get the most accurate reading?
Also, is anyone else working with the thermistor that comes as part of the makershed advanced arduino kit? I'm trying to find out the specs for this part so that I can plug in the appropriate constants to the program as the default calculations don't appear to be correct for this part.