As a parent, the same things are true. I find as a parent it is difficult not to become obsessed with the outcome for my son-- things like what place does he take, what time does he run? As a parent, I want to see my son rewarded, but the outcomes are not as important as the process.
Is he developing a good work ethic?
Is he learning to be a "team player"?
Is he developing goal setting abilities?
These are the "skills" which will serve him in adulthood.
I have come across a site which I find very helpful as both a coach and as a parent. The site is "Proactive Coaching." My view is that this site is focused on helping parents, coaches, and players use sports as an educational process. If you are on facebook, I would highly recommend you start following Proactive Coaching!!