Oops, that's not what I meant at all. I just meant identifying the type of error and noting it down with absolutely no shame. That's what you do after you've made an error -- you figure out what you did wrong and what extra understanding you need to fix it so you don't make the same error again. I'm talking about normalizing that process early without shame. Maybe you still don't understand how long division works. Or maybe it's just a tic error that you keep making everywhere and you just need to remember that 3 × 7 = 21 and not 24 and then you'll be fine. If the teacher who posted this question facilitates the process and doesn't shame anyone, I'm pretty confident the kids at this age will take their cue from their teacher and won't start shaming each other randomly.
What happens in schools now is the teacher gives you your test back and if you have a good score then you feel good and if you have a bad score then you feel bad and go home and report your bad score to your parents, who act disappointed and no one ever really says "Now given that you have a bad score, what are you going to do to have good scores in the future? And how can I help you do that?"
And if the kid is writing "What I did wrong is being a stupid person and sucking at math," then this child probably need help with things other than math.
As a teacher, I wonder if it is possible to instill this skill into students the skills of rationality and critical thinking. I teach the third grade, and it is not immediately apparent how to apply this with my own class.
The problems I foresee are as follows:
In the sequences, it is suggested teachers should drill into students words don't count, only anticipation-controllers. How practical is this for an elementary school level? Also appreciated would be any ideas or experiences on how to do this, or how to combat the above problems. Hearing from other teachers would be excellent especially.