What rights to freedom of epression do student have?

I think that all students should have all rights to express themselves as long as they do it in a correct way, as such used proper language. According to the research, Public school students possess a range of free-expression rights under the First Amendment. Students can speak, write articles, assemble to form groups and even petition school officials on issues. The U.S. Supreme Court has said that students "do not shed their constitutional rights to freedom of speech and expression at the schoolhouse gate." However, there is a fundamental distinction between public and private school students under the First Amendment. Public school officials act as part of the government and are called state actors. As such, they must act according to the principles in the Bill of Rights. Private schools, however, aren’t arms of the government. Therefore, the First Amendment does not provide protection for students at private schools. Though public school students do possess First Amendment freedoms, the courts allow school officials to regulate certain types of student expression. For example, school officials may prohibit speech that substantially disrupts the school environment or that invades the rights of others. I feel that private school should have the same rights as a public school. The student that attends to private school could have a way of feeling and believing the same ways.
Source: http://www.firstamendmentcenter.org/Speech/faqs.aspx?faq=student_rights