John 7
14 About the middle of the feast Jesus went up into the temple and began teaching.
15 The Jews therefore marveled, saying, “
How is it that this man has learning, when he has never studied?”
16 So Jesus answered them, “My teaching is not mine, but his who sent me. 17 If anyone's will is to do God's will, he will know whether the teaching is from God or whether I am speaking on my own authority
So he probably did not have a formal education like the pharisees.
But thinking out loud here, what would Jesus write about, when he is the very word of God himself. Everything is about him. Anything he would write would be about himself..lol.
So instead of writing, he just told those pharisees
"You search the Scriptures because you think that in them you have eternal life;
and it is they that bear witness about me"
Another thought is why write about himself when he can just converse with us?