I had one class in undergrad where the teacher was like “we’re gonna cover far more than you could possibly learn in a semester. I don’t expect you to memorize it all, but you should be familiar enough with it that you could look it up if needed.” But it was a senior-level class that basically was taught with the expectation that you were gonna go into grad school and the tests questions overwhelmingly were about research methods/analyzing results, not the specific details covered in class. It works really well for that class imo, but only because it was niche enough that the next step if you wanted to learn more was either go into research within that field or read primary research papers, so it focused on teaching what you needed for those.
For most other classes, the basic facts are necessary to know to be able to do more advanced thinking. Unless you just want people who just have to blindly access whatever computers tell them is correct because they’ve lost any sense of what a reasonable answer or process is.
Yeah. Its frustrating seeing how many people have no idea on how to even attempt math word problems if they don’t just have an algorithm memorized for a specific wording of a question. Or can’t tell when a problem gives additional information that isn’t necessary and complain about such. Real-world problem solving doesn’t just give you number you need and only those numbers.