I'm quite the opposite and have an intense stare if I'm paying attention, while some people love it, I am aware it can be quite intimidating. I do have mitigation techniques for this so I don't look like a complete psycho but they are similar to people who struggle with eye contact as well
It takes practise to do this so this is something you will build up over time. People will know you are not looking at their eyes even if you look at their eyebrows or eyelids so try and look into their eyes before speaking for a couple of seconds so you have at least initiated eye contact
Slow your movements so quickly looking away can seem rude but move slower and its more thoughtful.
Look at the eyes briefly and then at another spot on the face, cheekbones or eyebrows etc then back to the eyes. Try not to look directly at the mouth or from eye to eye to mouth because that looks like you want to kiss them (although a useful technique on a date, maybe not for a teacher at your DCs school).
If you move off face, look slightly to the side of them, cheekbone height is useful not lower or higher than their face, lower looks bored, higher looks like you think they are a simpleton.
The easiest and simplest one to start with is to nod, you can legitimately go off face without seeming rude for a time and reestablish a brief moment of eye contact. Smiling can help too.
You're never going to remember to do the lot so pick a couple of easy ones, I'd suggest nod and slow down your head movements and practise those first, it will come more natural although on occasion you may still find yourself looking away as I do giving an intense stare so do it when you remember to just to break up the eye contact.