I definitely agree with Your Mother. Having been in exactly this situation, you soon realize that, if you are going to work from home, it's best done with no one else in the house (pets aside). At least, if you want to get things done. On the days when my kids have been sick, I have stayed home and cared for them, although an awful lot of TV watching or video game playing happens. (Our kids are older than yours.) When our kids were the 4-5 year age, many of Your Mother's suggestions were undertaken: books, TV, movies, etc.

It is a better approach to plan for a care giver or good daycare arrangement. Otherwise, you will get crabby with your kids, you won't be able to spend the time you should, and what looks like it should be a good experience takes a huge hit for everyone involved.

Now, to head back home and try to get some work done while my kids are off school. :)