How should Christians understand God glorifying Himself in a school?
God glorifies Himself by teaching His people all about God so they can grow in their love, praises and desire for God. He does this by the work of the Holy Spirit as His Word is taught.
I still have many things to say to you, but you cannot bear them now. When the Spirit of truth comes, he will guide you into all the truth, for he will not speak on his own authority, but whatever he hears he will speak, and he will declare to you the things that are to come. He will glorify me, for he will take what is mine and declare it to you (John 16:12-14).
He would use all of His Bible to glorify Himself. For example, the Bible tells us that He uses His Ten Commandments (moral law) to show us a reflection of His holy character; to give us a guide for how we should love God and love our neighbor; and to help us realize how short we fall from obeying it completely, and our dire need for a Savior (Galatians 3:19-24).