Why would you grade math homework? I taught "intro math"[1] through algebra and calculus to linear algebra at UF and ASU over four years as a paid graduate TA. This was the middle '80s. I assigned homework from the text every class. At the beginning of every class we (the students and me) worked through any particular problem any student wanted. That was 15min, max. Then I lectured and assigned more homework. I graded my own 3 in-class closed-book exams and final exam.

Based on the classes the Math Department gave me (very satisfying) and the student evaluations this seemed to work more or less fine. I was a brutal grader though, some of those entry level classes had bimodal distributions with 'F' being the low mode.

I also showed up for office hours and did my best to help people learn by digging through their questions.

I don't see why this methodology wouldn't work fine today. I wouldn't care now how a student learned. Show competency on the human only test and we're good.

I had one student who achieved a solid 'F' come by office hours after the course to tell me how much he enjoyed my teaching. Whatever!

Anyway, teaching that way, with the positive interactions with students interested in learning, was one of the greatest experiences of my life.

[1] An absolute pedagogical shitshow that wasted everyone's time for zero gain.