Why do I feel like my teachers intentionally made math harder than it needed to be? Some concepts just lend themselves to simple visual representations and just never seem to be taught that way...
Exactly. And ironically, we expect that to be the norm. "Oh, nobody gets imaginary numbers, let's just memorize it and move on."
To me, that's a huge canary in the coal mine! Why aren't we stopping here and making sure we get it? It's like reading a sentence, not understanding the key vocabulary word, and moving on. Yes, you "read" it but did you get anything from it?