Always just saw it as the handful of operations and a handful of generalized objects (sets, variables, etc) that represent data. So knowing those parts is all there is. Contrived compositions used in school to prove ourselves to some teacher just seems like patronizing helicopter parenting type vibes.
Went at most of my math classes with that in mind and didn’t really worry about relating it to past things
I don’t really buy into a notion like “more abstract” or “less” abstract. Everyone is its own abstract.
I dunno. That philosophy has worked for me so far shrug