Final answer:
The Supreme Court decisions in Agnostini v. Felton and Zelman v. Simmons-Harris showcase how the Court has addressed issues concerning the Establishment Clause and public funding for religious schooling, ultimately upholding the constitutionality of certain voucher programs.
Step-by-step explanation:
The Supreme Court rulings in Agnostini v. Felton (1997) and Zelman v. Simmons-Harris (2002) together exemplify a trend in which the Court has grappled with the Establishment Clause and the issue of public funding for religious institutions.
In Agnostini, the Supreme Court reversed its earlier decision in Aguilar v. Felton, allowing public school teachers to provide remedial education at religious schools. More notably, in Zelman v. Simmons-Harris, the Court ruled that a government program providing tuition vouchers for students to attend a private or religious school of their parents' choosing is constitutional because the vouchers are neutral toward religion and do not violate the Establishment Clause.