Answer:
I would say not to and to learn from your mistakes.
Explanation:
[ Personally, I skip over my mistakes but it HIGHLY depends on what you are doing. ] --> Do not write this down
I suggest to NOT skip your mistakes. Instead use it to learn what you don't know.
Go look at what you got wrong and go see if there is an answer guide that comes along with what you are doing. Go ask your teacher about this.
You can use your wrong answers to learn by studying the concepts / re-looking at what you had studied before ( your notes ) in order to take that specific thing. ( quiz, test, homework ) It is NOT suggested to study THAT specific question but the concept itself since questions can change but depending on your teacher, they can just reuse the same sentences and change them slightly.
I hope this helps because you did not give a specific class / topic