So the Taylor indoor/outddoor thermometer was pretty easy to take apart.
A couple of small screws and the front screen pops right out. A couple more screws and the circuit boards come right off as well.
In the picture above, the bottom PCB holds two momentary switches for inputs. One button switches degC to degF and back while the other button toggles min and max temperatures recorded.
The top PCB in the picture above, holds the brains of the device as well as one thermistor for the indoor temperature reading directly on the PCB and I'm assuming another thermistor is encapsulated inside the remote probe at the end of a length of wire attached to the same PCB.