Well you see because I actually work at the school and know why nooks break less. But I can tell you're ready to defend the iPad any means necessary.
Anyway, the nooks break less because they are 6.5 inch or something along those lines. Easier for elementary kids to maneuver hence less likely they drop them. The nooks also comes with a cart to store them in.
So no, it's not because the iPads are used more or the Nooks are stronger.
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They do have cases, but we are talking about elementary kids. I have seen kids purposely abuse them (sticking it with a pencil, throwing it, etc). Now do you ban these kids from using it? Well then how do you get them to read the textbooks and do their lessons that are online? Do you let the parents pay for it? Well most of the parents are at poverty level so good luck with that.
You're assuming the schools don't have them in cases based off of what? Lol sigh.
The kids abuse not only the iPads but the laptops too. However, atleast when they break it, it's easy to repair and doesn't cost the school.
I can understand the size-thing for little kids. Not much to be done for that.
But at least you admitted that the Nook isn't any "stronger" than then iPad. So, subjected to the same G-forces in the same axes, they would statistically break about the same percentage of the time.
I agree that the cost of repair basically can't be foisted onto the parents, especially if low-income is an issue.
I think, for that application, the "case" needs to pretty-much "house" the iPad all the time. You can get that to be a secondary advantage by making it case-with-keyboard, like the Adesso case I have for my 9.7 inch iPad 2. I'm not sure how far of a drop onto whatever it would survive in that case; but I feel that, without actively HURLING it at a wall or floor, I'm pretty sure it wouldn't break.
Like this:
https://www.amazon.com/Adesso-Compagno3-Bluetooth-Scissor-Switch-WKB-1000DW/dp/B007OX26L2/
Mine's a slightly older version, with an elastomeric keyboard; but quite frankly, although it does make the iPad a little bulky, it is really nice to have a built-in "stand", and for when I want to use it, the keyboard's battery charge lasts a LONG time. Mine hasn't been out of that case even once since I bought it about 5 years ago. The keyboard is nice; because you get REAL cursor moving and Editing keys (iOS finger-driven text-selection SUCKS!).
And if you DO lose your grip and start to drop the iPad, the case's "easel" design gives you another chance to keep the whole shebang from falling to floor, by giving you something to grab hold of...
Of course, if you wanted something a lot less bulky (and considerably less-expensive), but still good at keeping the iPad from falling face-down onto a hard surface, there is always something like this:
https://www.amazon.com/Veamor-Protective-Lightweight-Drop-proof-Shockproof/dp/B01LZMZROR/