Last time i checked, heated styrene releases Isocyanates, probably not the safest fumes to be encouraging people to breath. Not to mention the inherant risk of working with hot knives and molten plastic, ever had molten styrene land on your skin? It hurts and it causes a deep burn due to the fact it sticks to the skin and is hard to remove quickly. For any styrene melting I would highly recommend doing it in a fume cabinet.
I find it hard to believe that you have done any form of risk management on this activity, as even a basic risk assesment would highlight these hazards. You say you are teaching this to students? In what context, what age group? Do you provide safety equipment to these students?
This might sound excessive, but in this day and age of OSH, or whatever abreviation the Ocupational health and safety body in your country goes by, it is important to take risk into account with all activities, as you are obviously doing this in some form of proffesional capacity.