Do kids need to learn to play nice, or their parents?

Adults are always telling kids to play nice, but I have to be honest. My daughter plays nice and makes friends easily. The struggle seems to be mine. I find socializing with other parents to be excruciating.
One of the dance Moms called me aside in the parking lot to ask me a "personal" question. Turns out she wanted to know if Mayra is adopted because her daughter is also adopted. It also turns out she is in pre-k at the ELC. What a pleasant surprise to hear a horn tooting this morning and it was the dance mom waving to me from her car after drop off. Now I just have to embarass myself the next time I see her and admit that I cannot remember her name for the life of me.
Mayra already has a "new best friend" in kindergarten. Lucky for us, her Mom drops her off around the same time we arrive in the mornings, and she seems pleased that the girls are friends, and she is also friendly toward me.
Mayra is always wanting to invite school friends over for a play date, perhaps it will happen some time.