Kenneth,
Try reading this Thread
https://forum.petpitcher.net/showthread.php?t=952
Try changing the water every two days to convince you mother that there won't be larvae. Yes, need to put the vft in water tray (not trap).
You living in apartment? Try to sun the plant in the balcony for at least 3 hours a day. If in house, better still, find a spot in the garden with sun and leave it there when you go to school and take it back in in the evening to admire. Best if just leave in the open until you need to examine it.