It would be a good way to start learning. While Premiere Pro is much more advanced than Premiere Elements, the basic functions are similar and it is much less expensive, so students will be in a better financial position if they should choose to purchase the software to use at home, rather than use the subscription of Premiere Pro CC.
Keep in mind, too, that you will probably not be able to switch projects between the two applications.
Also, there are many other programs included in CC.
They both edit video, but there are at least two major differences
Premiere Elements is a serial number program, so you buy it once and use it as long as you have a supported computer, while Premiere Pro Cloud is subscription so if you stop paying, it stops working
PE has integrated DVD/BluRay creation, P-Pro requires downloading the earlier P-Pro/Encore CS6 bundle to write to disc... again, stops working when you stop paying... unless someone buys the earlier Creative Suite 6
Premiere Elements is an excellent program and is in many respects not a second citizen to Premiere Pro.
The principles of the programs are the same. And, although some Premiere Elements features might not be as full as Premiere Pro, they
can get most of the tasks done.
Is this your first experience with an Adobe product in your teaching facilities?
If you have not, please work through or have your IT people work through the program permissions angle on this matter.
Premiere Elements works from a User Account with Administrative Privileges. With volume licensing in a school or company
environment, this can create problems.
Another consideration is the level of support help to expect from Adobe once you have purchased the product.
At the Premiere Elements level, often you are directed by Adobe to Ask the Community (us, user to user) and in some limited ways Adobe Chat.
I have noted that Premiere Pro support channels are far more "enhanced".
Will someone be looking at the tryout before purchase to assure the compatibility of the product with the computer environment and project goals?