It would be advisable for you to get your parents together and discuss on this. You can also get a close family member or friend to assist you in convincing your mom on this. However, you should put into consideration the reasons that make your mom to disapprove this.
Maybe it worries your mum that your dad won't be able to care & look after you the same way she does. For the moment why not just spend more time with your dad on weekends & the holidays. You & your dad will both get the feel of what it would be like if you lived there. Just remember your mum loves you & only wants what's best for you.