One of the older suggestions, along these lines, involve making the Toy Forges, and otherwise, a (stealth!) training tool rather than merely trade-goods, and used to familiarise the child in the basic principles of a future profession.
(A bit like I had many toy tractors, with toy ploughs and ('working'!) bailers when I was young. It seemed like a theme. A strange theme, given that I had no family connections to farming and it turns out I was totally not in danger of going into farming, so in my case it was just toys, but it could so easily have been a prepping device, until the point I was given (initially supervised) free rein to tkddle around the very real and dangerous actual farm machinery.)
While I'm not so sure that Dwarversity Lectures is the training method to use (making libraries even more reference-library like, usable by those inclined to pick up additional theory would be a start, and then Teachers could act as a training focus in either book study or practical demonstration of something, code-plucking/improving from the military training bits), there should be opportunity for era-relevant learning of all kinds, both academic and vocaational.
But it shouldn't be entirely rote-learning in stuffy classcaves, if indeed anywhere near a majority. For one thing, until/unless the discipline of the young is implemented ("you do not go into the magma-trap corridor! "), I see it as something the otherwise free-roaming Drawrven Cider With Urist McRosie children would gravitate to according to psych-prefs. Observing spear-training because of spears-affinity, reading things because of studiousness, hovering around the brewery becajse... well, Dwarf, but also attracted by a booze-preference being prepared.
Some of that could certainly be allowed to self-organise into a creche+ child-care-cum-prep-school thing, or (player-led) some method of turning a space (already designated as/overlapping with a barracks, library, workshop...) into a lecture-theatre; sitting or standing space, accordingly; tables necessary to include student books, rather than just have a designated lecturer orating extempore or from their own volume; formality optional, as to whether students are gathered to start proceedings and then 'tied' to their desks/into the standing area or can wander in and out of any ongoing lesson; possinle adult (re) education, maybe, and (with restraints or cages for those not willing, or prisoners being indoctrinated)... A load of possible factors, some of which will probably not work or be 'apt', but surely enough there to pick and choose.
Or even parents taking children on walks around the fort for them to learn things. "UristMcKid, this is the barracks, here soldiers are being trained, UristMcKid, here's the dog breeding area, because you've always wanted to see from where puppies come from." etc.