We had a gal two years ago that ran for an office but wasn't very honest about the child at our school was not her child but she was her nanny! Now THAT was weird! She figured since she was able to volunteer she may as well be more involved. I'm still scratching my head on how that all happened. Anyway, our school board and another comittee has an office for community members which is often served by grandparents.
I would think in your by-laws under Membership it would say something about this or even Elections. Remember, the membership have the right to ask what his intentions are.

Let us know how this comes out!

Though I find it a bit odd also, I can't help but wonder, does he have another child who will be coming to the school in the next year or 2? This might be his motivation. I'm not sure what grade your school goes to, but our district has k-3, 4-5, 6-8, then HS. This leaves many parents with children all over.

I was in that earlier thread that kma was refering to but it was a different situation. That person did not have any real desires to do anything and was difficult to get a hold of, there was more to it.
In this situation, when I first read it, I leaned in the first direction Kathie did. The first year of your Presidency you are less experienced and for the most part, your better accomplishments happen the second year. He may have some goals that he didn't accomplish last year and he is eager to see it through.
I would ask him to provide a letter of intent to run and ask him to explain what he wants to accomplish this coming year. Ask other candidates to do the same to keep it fair.
Again, my first impression on this was that he wanted to complete his work, I didn't read anything sinister in it but you know the situation better than we do.

Let's assume his heart is in the right place. I know I found that the second year of Presidency (actually any job!) is easier then the first. I would guess that there are more things that he wants to accomplish and he thinks there is no one better then him to do it.
We had someone like this at our middle school and it drove me crazy. She had the backing of the administration and we could do nothing about it.
Unless there is a stipulation in your by-laws (we have one) your best solution is kmamom's: find someone to run against him and give her/him all the parents support.

I remember someone else having this issue in an earlier posting this year, and for the most part everyone who responded had the same questions and comments. My main one would be WHY would he want to be involved in that position if his child is no longer there? It's just weird, and I feel inappropriate. Secondly, your bylaws say nothing about having to have kids in THAT school to be a member of the board? What do they say about elections and officer's positions? I hate to say it, but find whoever else is running and make sure they get a lot of support!

The current PTA president has a child in school this year, however she graduates in June. This man is running again, however, he wont' have any kids in school next year. This doesn't seem right to me, but I can't find anything in the bylaws that prevents it. Does anyone else have any experience with this situation?