By "video-game" order I mean in an order which makes it increasingly challenging, as opposed to making it increasingly easy because built on more solid foundations.

For instance (as I dimly remember it), calculus was introduced as a collection of rules, of "things to memorize", rather than worked out from axiomatic principles. It was only later (and as an elective class) that I was introduced to non-standard analysis which provides a rigorous treatment of infinitesimals.

This may be a limitation of mine, but I can only approach math the way I approach coding - I have to know how each layer of abstraction is built atop the underlying one, I'm unable to accept things "on faith" and build upwards from something I don't understand deeply. I can't work with expositions that go "now here we need a crucial result that we cannot prove for now, you'll see the proof next year, but we're going to use this all through this year".