Triss - I've had a pothos now since I lived in Alaska - 30 years now!
Usually each year around this time, it loses a bunch of leaves - I don't think it likes the dryness with the heater on. The stems get leggy, so I cut off the healthy tips and make sure to put at least one good node in the water. You can also put it in a pot, making sure it does not dry out. It doesn't have to go in with the mother plant
, but can if you'd like to make it fuller. Mine have only put out a single new stem from where the ends were cut.
sibyl - I agree that your plant
is a pothos.
Here are some cuttings that have been growing
in a betta fish vase for about 1 1/2 years. The fish died last spring
, but the cuttings are doing very well.