I agree, this is a tough one.
If anything, the school's counselors should know the situation so the children can be helped through the year. The slingshot raising of children every other year would be difficult indeed, but if the family is a strong one, they may be able to make it work. Kids can be quite resilient, but I don't know these kids or what they have been through. Children of divorce have a lot tougher things going on and often need even more consistency.
I would think there are many books on maintaining stability throughout divorce for children.
This article is interesting, but then the parents would argue that they are providing stability:
http://www.medicalnewstoday.com/articles/106762.php
"The final key is to limit the amount of change in your children’s lives. Most adults assume children experience only one change as a result of their divorce: seeing parents at different times. If we step back and take a closer look, however, we become aware that there are multiple changes children cope with when parents divorce. Some of the most common include adding a new home environment, losing the family home, neighborhood, neighbors and friends, as well as having to change schools, which entails losing not only friends at school, but also teachers, coaches, scout leaders, school counselors, aides and others too numerous to name, that may play a crucial role in the lives of your children. It doesn’t take much to achieve double digit numbers in the changes a child of divorce must face.
There are ways to make these changes easier on your children as well. If your family is experiencing divorce, give your child a minimum of six months between any major changes. For instance, a separation occurs and one parent moves out. Even if the family home must be sold, give your child six months to cope with the separation, itself, before adding another adjustment he must make.
Whenever possible, allow your child to finish out the school year in the old school or, even better, to make the change at a more natural time, such as when all children are switching from elementary school to middle school or middle to high school. Whenever possible, keep childcare providers, coaches, dance teachers and other adults in your child’s life as consistent as possible."
from here:
http://www.parentguidenews.com/Catalog/WomensInterest/ACh...