The correct answer to this open question is the following.
The development of ideas about how children react to mistakes is focused on the opportunities children have of not repeating those mistakes. The child should understand the mistake in order to not to repeat it and understand the lesson that the mistake taught the children.
Hans Shroder conducted this research at Michigan State University where he interviewed boys and girls of the age of 7 in order to understand their mindset. After making a mistake, children that had growth mid-set had a larger brain response.