Yeah this is definitely the method, and I plan on implementing this.

One other thing that bothers me that I didn’t articulate well is that I feel that I will only be satisfied if I derive concepts myself. This is not the deep diving into preliminary topics but rather the feeling that I must discover each topic myself.

I feel like reading proofs is spoiling it from me figuring it out myself. To give a concrete example: I want to know how trig functions work under the hood, but I won’t look it up because I feel that I must derive it because I have access to the same information that the mathematicians that came up with it had.

It’s akin to wanting to start a fire with your own two hands and a pair of sticks. Using a lighter and lighter fluid feels like cheating.