Sure. But you will approach this a lot differently for a 2yo than for a 7yo, you know?
One that works for all ages is plenty of time for solo-play at home. I tell my kids that I am responsible for keeping them alive and healthy, but it is not my job to entertain them.
If they aren't getting along with each other, I often find that it's because they haven't had enough alone time, so I separate them and have them play by themselves for a while. It always seems to help.
Limiting TV and computer time helps, too, I think.
The mixed directedness isn't something I have worried about too much. Is the problem that he's not following directions well while playing, or is this more of a philosophical concern? I'm not sure I'm following you there...and I'd like to!
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