This is undervalued in education today. I mean, in areas of rote memorization it's important that you understand the "facts" as stated, somewhat, or merely be able to repeat them as required, although perhaps not as much as we think.
But for all the rest - and by this I mean "reasoning" and "skill" - wrong is every step on the stairway to being right. The fact that our education system penalizes wrong - well - perhaps the word itself is "wrong". Maybe instead of wrong we should assign a label of "persist" or "persist and correct" the orientation or direction of reasoning. We should be praising wrong as another step on the way to right.
In reasoning, and in everything involving effort, trial and error, experimentation, what-have-you -
...is that if you persist, and know that you are wrong, eventually you will be right. Eventually you'll paint better, etc etc - that we throw it out, but our mistakes are for learning - and for others as well,
too long discouraged by painting, writing shit, panning for....wrong, wrong, wrong, but - if the fool would but persist in his folly he would become wise -