The point of the article is that children aren't entitled to many of things that society typically considers to be good, including lots of material possessions, winning, gourmet food, and popularity. It's not that I disagree with the author, per se. It's that I want to add an addendum in the affirmative. If there are many things that you don't owe your child, then what do you owe them exactly?
Mom on the Move concludes that "Children are entitled to parents who will teach them the difference between the things in life they have to work for and the things in life that are given freely."
Since she doesn't expand on the topic, let's examine it further here. What does the classical philosophical tradition have to say about the things that parents should freely give to their children? Modern psychology? How about common sense?