genuineoriginal has a point. We have no idea how exactly education would structure itself in a free-market structure.
All you need do is look to the era of feudalism, and you will see exactly how education works in a "free market" economy.
Here's what I can say.
We should all agree that for as many people as possible to live a productive and fulfilling life is an admirable goal.
We should all agree that stealing (ie. "taxes") are an unacceptable means of fulfilling said goal. What isn't OK for me and you isn't OK for government either.
Taxes are not "stealing". Until you let go of this idiotically selfish idea, you will continue to think and speak as an ignoramus.
Taxes are nothing more than a method of societal reinvestment. Just as any business enterprise needs to expend a portion of it's profits on facility maintenance, security, operations, and expansion to stay viable, so does the society as a whole. And that's what taxes are: that percentage of profit that gets reinvested back into the structures and systems that were and are responsible for generating it.
We should all agree that all children are different and that they don't need the same type of education. It is impossible for the state to recognize and deal with this.
That's complete nonsense. All humans are unique, yet all humans are strikingly similar. In fact, we are all a whole lot more alike than we are different. And the success of all sorts of standardized public service systems bear that out in spectacular fashion every single day.
We should acknowledge that according to basic economic law, consensual economic exchanges are utility positive for both parties, while coercion is likely utility positive only for the aggressing party. We should thus accept that a free-market, using only voluntary, mutually utility-positive exchanges, will be better able to solve this issue than coercive force.
Where is this "voluntary, mutually utility-positive exchange" market? Because it's clearly not on this planet.
On this planet a "free market" is a market that seeks to exploit everything and everyone for maximum profit by any and every means possible. Simply put, a "free market" is greed run amok. It's exploitation masquerading as commerce; that rewards ruthlessness while literally destroying anything and anyone who gets in the way of it's one and only goal of collecting as much wealth as possible.
A "free market" is a lawless market. And lawless markets cannot be tolerated any more than a lawless society can. As both result in a state of constant human suffering, animosity, and social collapse.