Try using JWidfire fractal editor, you could teach your students to use it too! JWildfire is always free and open source. It has a good User Interface and has loads of random samples to play with to understand how they are made.
Plenty of tutorials on YT and there's a Facebook & G+ group (I know), but just ask and I can help.
You need Java installed so it runs on any OS.
Give it a try 😋!
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Interesting. I will do some thinking on the matter! (: many thanks
My pleasure. 😎