In the kids interactions, specifically preschoolers...

I have 3 - 3 year olds who argue and bicker what seems to be non-stop. "My plate is green" " no mine is green" (both have green plates). One will tell the other he's being too loud and before you know it, they're both screaming yes/no back and forth. Do you let them sort it out for themselves? In a way I feel like there's something to learn from it, maybe they'll get better at solving disputes with one another after its said and done? But I usually end up intervening because a) they are screaming, in my house, it's loud, and there's only so much I can handle, and b) I don't want it to escalate into a hitting situation. Is the problem persisting because I step in, or am I intervening the wrong way? What does everyone else do?

In addition, what does everyone do for rough play? Again, I know it's important for kids to explore and use their gross motor skills, and rough housing is how many do that. But someone ALWAYS gets hurt. Then it's the ol' crying, "he hit me" situation.

I'd love to see what everyone else has to say on this