There are a lot of definitions for normal. If you look on Wikipedia, you'll see that it can be a noun or an adjective, it can refer to a behavior, or even math! It can even vary from person to person. My "normal" breakfast, probably isn't your normal breakfast, etc. I guess for this post, I'm more refering to this definition: conformance to an average.
I remember my parents saying, when I was growing up, that they didn't want me to be normal or average. They wanted me to be smarter, more mature, and braver than the other kids (hey, 1 out of three isn't bad. At least I was more mature than my friends. Eat that, suckers!) I find myself wanting the same sort of things for my children as well. I want them to excel, not just be middle of the road. I want them to be truly happy, not just normal kid-happy. I want them to be joyful, not complacent like the average or normal person.
However, as I find myself looking towards my anatomy ultrasound in two days, I realize I have never wanted anything to be more normal. To hear the word "normal" on Wednesday would make me joyful beyond belief.