I'm still in university and I can say firsthand that the most difficult thing about being incorrect in regard to a math problem isn't so much about the problem

I'm still in university and I can say firsthand that the most difficult thing about being incorrect in regard to a math problem isn't so much about the problem itself—you can always fix it—it's in the shame associated with your peers seeing you do it incorrectly. It's terrible when a student goes up to do a practice problem from a class exercise and the rest of the students make an audible noise if they're off by the end of it. I had a professor who refused to refer to anyone by their name when they worked out a problem on the board, only the pronoun "they", because he felt like it decoupled the personal feelings the volunteer and the class had of the student and the work itself. The point, he said, was analyzing the work and why it was wrong or right, but not the student.