"fact-checking" was a bit of a crude way of putting it on my part. I'm not native, so there could've misused it.

(Went a bit overboard with a wall of text again, but of well)

Although it wasn't without the fact-checking in it's normal sense. Take "English as a foreign language", for example. One teacher will say the word is pronounced one way, the other will say its different. Who's right? Let's check Cambridge dictionary. Although it isn't always teacher's fault as a professional. Sometimes you just forget things no matter how well you know them.

The other part that I may have failed to convey is looking information up, be it a math formulae, a word, some sort of rule, name or a date.

It's way quicker than going through your books and is actually not a bad way to remember something. You either have a tab left off or you're seeing it when using the search, which makes you remember that you did look that up a while back. It's very minor, but because you're still being reminded about it from time to time, the information sticks. Essentially you're doing unintentional passive memorisation.

That's why I think that maybe not in primary, but definetly in secondary and high school banning technology is not the way to go about it. If the student uses it for entertainment during class, they won't suddenly start studying if you prohibit them from usining it. You're essentially solving a non-issue, because the majority of students aren't even using phones during classes (Well, maybe to cheat on tests, but that's hurting the quality of assessment and not education itself).

Banning phones is easy, but it's also the least impactful thing you could to to "improve" educational system. It would be of more sognificance you were to reduce classes to 8 pupils, lessen teacher's paperwork, introduce new active teaching practices, reward students for persuing their endevours and so on. But that's difficult, banning phones is easy and brings you more polical approval.