Geo Fencing is where you use the GPS coordinates of a 'virtual area' to determine whether you are 'inside the fence' or outside of it. Think of it as virtual lines in the sand, and whenever your phone determines you've crossed a line, it does something ..
Through reading the context, it means a scheme in which a phone uses its GPS to detect exceeding a specified radius from the house and setting off an alarm. All you need to do is set a position (the house) and an alarm radius (greater than the normal error bounds for GPS) and you will always know if the phone is where it's supposed to be.