Mistakes are essential to learning! In order to learn and grow, students need to try new things. Doing something new and unfamiliar is bound to result in mistakes. Students should not be shamed or punished for making mistakes. (Nor should the work be done by adults to shield students from making mistakes!) Students should be praised for having the courage to try something new. Mistakes are just natural feedback. I don’t even like to say that we make “mistakes” in math. We simply try something. If it doesn’t work, we use that feedback to adjust our thinking and try something else until we find what works. That feedback loop - trying, failing, adjusting, and trying again - is the essence of learning.