My dh has a PhD in math. He mostly works as a programmer because he can't stand the politics of teaching in academia. He still finds math colloquia (lectures by visiting professors on random interesting math topics) to attend when he can. Today, he decided to take our 7 yo dd. He gave her his tablet to play on just in case she got bored. Half way through, she handed it back to him. He thought she was REALLY bored. She got a pencil and paper and then proceeded to take notes on the lecture. She was interested in what was being shared even though she didn't understand anything.