Final answer:
The Supreme Court has limited the freedom of expression rights for students in public schools. They have allowed punishment for lewd and indecent speech. The Court has also addressed government funding for religious schools and prayer in public schools.
Step-by-step explanation:
The Supreme Court has made several rulings regarding what is allowed in public schools. Public school officials, as government actors, have limited the First Amendment freedom of expression rights for students in public schools. For example, the Court has allowed punishment for lewd and indecent speech at school assemblies, even if it is not obscene, as shown in the case of Bethel School District v. Fraser.
The Court has also addressed issues such as government funding for private religious schools and prayer in public schools. In Lemon v. Kurtzman, the Court established a three-part test to determine if government actions violated the Establishment Clause. The Court has tried to strike a balance between protecting individual liberties and maintaining societal order in these cases.
Overall, the Court's rulings depend on the specific circumstances and aim to find a balance between individual rights and public interest.