Hi Ryan, and welcome to Tropical Fish Keeping forum.
First off, tetras do not "school" in the true sense of the word. Tetras are characins, and all characins are shoaling fish, which means they need to be in a group. This provides several things, like security (safety in numbers) and a social interaction which most characins have. Some species will swim together as a group more than other species; but all need to have a group to be less stressed and thus healthy. They feel "better" if they have several of their own species in the tank with them.
A minimum of six is usually basic for most species, but more are better. And some species definitely must have more. Serpae tetras for instance; these should never be less than 8 and preferably more than that, and they need a large tank. We have fish profiles here, if you click on the shaded name in posts it will take you to that fish's profile, or use the second tab from the left in the blue bar across the top. If you click on
Serpae Tetra you will find out why this is so important. Unless the tank is quite large, say 55 gallons or larger, I would not mix Serpae with other tetra.
Some species need more room than others because they are more active. If you give us the tank size we could offer some suggestions.
Byron.