Schools

Capitalism is an economic and political system in which a country's trade and industry are controlled by private owners for profit, rather than by the state. (ex. U.S. and Western Europe).

Communism is a political theory derived from Karl Marx advocating class war and leading to a society in which all property is publicly owned and each person works and is paid according to their abilities and needs. (ex. China, Cuba, Laos, North Korea, and Vietnam) Communism is a classless, moneyless, and ideology system used to establish social order.

Socialism is a political and economic theory of social organization that advocates that the means of production, distribution, and exchange should be owned or regulated by the community as a whole. (ex. Socialism, true Socialism, professes that the government own and run everything. Ideally, the people of the Socialist country would make the decisions.

Schools in socialism and in communism would not be public they would have a more private environment.  Yet in communism if you weren't born in a specific way or weren't very smart then you wouldn't go to school you would go to work instead.

Schools in capitalism you would have public schools and have choice of where you wanted to go and what you wanted to be.