I could search through this thread and demonstrate that we've discussed this several times already, but I'll spare myself the time and answer straight (again). This thread might have some new readers, after all.
Again: "compulsion" is a matter of degree (as in, the inverse, "degrees of freedom"). The more options available to parents of young children and the more options available to students, the less compulsion.
Actually, you've never answered to anyone's satisfaction.
You repeatedly assert that there are degrees of compulsion, and your mantra that the more options a available to the parents, the better it is for the children, but fail to address the reality that the options you are touting already exist.
Your assertion also fails to address what compulsion is, when applied to education. Compulsion, as used by Einstein was the forcible molding of thinking patterns through various pedagogical techniques (ex. "Write an essay on why America is great."). Compulsion was not being directed at the idea of sending children to school.
We addressed this issue several times earlier in this thread. Again, I'll spare myself the trouble of going back and finding instances and just answer straight.
The government of __A__ (locality) is the largest dealer in interpersonal violence in that locality (definition, after Weber).
A more accurate description of a government is a body authorized to regulate the activity of the group.
A law is a threat by a government to kidnap (arrest) assault (subdue) and to forcibly infect with HIV (imprison) someone, under some specified circumstances (yes, even litter laws are backed ultimately by the threat of State violence).
If you are ignorant enough of the rights of others, then yes, force may be exerted on you to compel adherence to group norms. If you refuse to do so past the point of reason, then you may find your freedoms even more restricted.
The system of markets (title and contract law) combines local knowledge with the incentive to use resources in socially beneficial ways. In general, when two parties exchange goods and/or services, both benefit (or why would they have traded?).
problems arise when applying a market based model to education. the prime beneficiary - the student - is very often legally incapable of entering into contracts. The persons who can enter into contracts have to do what they think is in the student's best interests and then compel the student to jndergo the instruction that the parent feels is appropriate with little to no recourse if the student feels that the terms of any contract are not being fulfilled.
Centralized control of commercial activity must destroy information, in the same way that aggregate statistics destroy some information contained in raw data. From raw data you can compute the mean. You cannot derive the raw data from the mean.
Education, due to the large amounts of input that the public system receives and the choices available outside the system is more of a regulated service, rather than controlled. If education was a controlled industry, the options for private, parochial and home schooling would simply not exist.
Markets in education services allow parents to use their local knowledge of their own children's interests and abilities to match children to curricula and methods of instruction.
Not particularly. Looking at what is available at several private school sites, it would appear that most mirror the public school curricula fairly closely, generally giving some additional language or religious classes for flavor.