In a panel interview there is always the leader and his support staff. Sometimes the leader will sit off to the side. Just trying to rattle you. The leader should introduce himself and colleagues. If all they mention is their name, you can ask them which area they represent. This shows them you are interested beyond the interview. At the end, you shake hands with all of them and if you have something personal to say, go for it. Perhaps one of them studied at your university or is from your hometown. Something small that will make you stand out. They will remember your warmth and interest in the position instead of the ten year gap.

On the question, tell me about yourself, where go you want to be..., why should we hire you.
When telling them about yourself you don't want to repeat your resume. Give them something fun and different. For example if you travelled a lot, tell them what you liked most about it, for example meeting new people.
The where do you want to be.... I assume there is a career path after you start teaching. If you love teaching, tell them that, mention the career path and that you might be interested in the future but for now you want to focus on the present where you know you will make a difference.
Why should we hire you, again, they have your resume so don't repeat it. I would mention the personal experience you've earned helping your child. Give them a couple of success examples. Finish of by complimenting their program, what you like about it and how certain you are that you are a strong candidate.
Sorry for the length, hope it helps. Good Luck!