Dear N.,
I also have also have a 13 year old and an 11 year old. I was curious to know if your 13 y/o was a boy or girl. My oldest are all girls and i have heard that they can be more mentally and emotionally challenging than boys. All three of my girls have entirely different personalities...each unique, each a gift and each challenging in different ways.
I have to say so far I am happy with their attitudes over all. However, I am constantly challenging them as well. We all obviously are not perfect and when they are having a "moment" in need of correction, I ask them, "Is this who you want to be?" I highly recommend a book called, "The Ten Conversations You Must Have With Your Children" by Schmoley Boteach. I agree with most of it except for the last chapter and if you read the book you may guess why but overall it is well worth the read.
Also I believe that spousal support and discipline is key to raising a child to their full potential...to be in agreement with your spouse and be consistent. Another book I recommend is called "Strong Fathers, Strong Daughters" by Meg Meeker who is a pediatrician with years of experience.
I limit the television time to a minimum. In fact my girls really during the school year only have their Friday night movie night and this we watch as a family.
We don't have tvs or computers in our bedrooms and even my oldest doesn't have a cell phone.
When they talk disrespectfully to me I stop them and give them the correct way and words to speak to me. I am not always good at this but I find it self defeating to try to get into a long explanation. It is much better to be short and succinct and not get into long drawn out conversation or explain yourself...girls have a way of knowing how to draw out the drama.
I also read to my daughters...the 11 and 8 y/o books about real heros...saints and holy people that have gone before us. We talk about what we read ... the peoples' struggles and how they overcame them to be the best person they were capable of being. Our children need goals, real heros and aspirations of the person they eventually want to become.
Their actions, the stories the listen to and the choices they are making are all forming them into the person they will be tomorrow.
Good luck and God Bless!