指国家不拨款，由社会组织或个人出资而开办的各类学校non-government schools(plural)

• 他引入的社会办学资金就有数亿元。

  He has brought in several hundred million yuan to the non-government school fund.

• 严禁义务教育阶段学校与社会办学机构举办面向中小学生收费的各种培训班。

  It is forbidden for compulsory education schools and non-government educational institutions to hold fee-charging training courses for primary and middle school students.