Clearly, education in biology, mathematics, and the like should be factual. No one would argue with that.
I don't think my mathematics education was 100% fact based. We did discuss various thought experiments. We also did puzzles that were designed to train thinking skills.
The ability to work an hour with focus on a math proof is a lot more valuable than the axioms and theorems that I learned in the process.
Instead of trying to teach math facts it makes a lot more sense to concentrate on creating situation of deliberate math practice.
In university we had math courses we were allowed to bring us much paper into the exam as we wanted because the things that they wanted to teach us wasn't written down facts but our ability to deal with them.
Math is a funny case, being very much a skill that needs training rather than a body of knowledge that needs learning. But it's not as if you were learning mathematics on the basis of 'fancy' or fiction either.
Another month has passed and here is a new rationality quotes thread. The usual rules are: