5k Ntc thermistor series resistance calculation
To maximize the resolution, match the thermistor value at the operating temperature. 

Usually it's best to ground the thermistor so that you are not running your supply (typically it is the ADC reference) out where it can pick up noise. 

You will get a lot of self-heating with a 10V supply (with most thermistors, especially in still air). That's 5mW. Take care that they do not specify the dissipation constant in some unrealistic situation (eg. flowing water at 1m/s) if you are operating in something like still air.