I think cryptocurrency will be taught in schools that maybe when crypto has become a legitimate currency and can be received by people used for payment. Cryptocurrency will be a subject in school. but I think this takes a very long time. because most countries now still reject crypto as a currency. and only in developed countries such as Japan and America that allow crypto as a means of payment. and most people only use crypto for investment and trading tools.
When you say "legitimacy", did you mean "legalizing" it? If so, then it will lose it's freedom because to have it legalized, it has to be regulated albeit it may become the currency of the future as technology keeps growing in a very fast rate hence those generation of today should start being taught about it now so that they are not going to be ignorant about it when they get older.