I posted a thread about the book "Everything Bad is Good for You" by Steven Johnson,
but i thought i'd just touch on a few of the things stated within the book...
Hand-eye Coordination - obvious...
Being in a social enviorment - An interesting thing which is brought to my attention within the book is how he mentions that books actually cut people off from society, putting them into solitude, whereas the majority of today's games are becoming very social.
Economics - In all sincerity this is actually a neccessary skill in life. And by playing a game that requires you to handle money, use a free-market trade system, and spend your money accordingly, many children can get a head-start when it comes to actually having to do it in the real world.
Decision Making skills - In all games, no matter how simple, you have to make decisions. You are the one in control, and if you die, or lose the game, it is no-ones fault but your own. By analyzing the situation, and predicting the possible outcomes of your decision, then the child in fact, is learning scientific theory without even knowing it.
First they must Analyze the world or situation
Then they form a hypothesis about something
Third they re-analyze the world with their hypothesis in mind
Fourth they reflect their hypothesis to see if their prediction was right (or worked).
Prioritizing - Games often have a final goal, or something which may look like a final goal for the moment. You often have to figure out what needs to be done before you can achieve that final goal, and the thought laid out may look something like this (this is extremely simplified).
Get Tier 6 Armor
To get that I need Tier 4 or 5 armor
To get Tier 4 or 5 armor i need Kara armor
To get Kara armor i need a guild
To get a good guild i need to be level 70
To level to 70 i need to quest
To quest i need to kill monsters
To kill monsters i need to click the mouse
And the last topic i will cover is...
Pushing the limits- Humans always want to know how far they can go, how great they can be. How far they can surpass everyone else. And in games, the path to doing so is pretty straigt forward. But in all its essence it is teaching people to seek their goal, and put effort twords attaining it.
I bet you didn't want to have to repeat the same quests over and over again to get one piece of armor. By the third time it was almost like a chore. But still, you did it, you pushed through the unpleasentness to attain your goal.
That is something in which every person should be taught, or teach themselves.