The rather unconvincing noises of pretended interest which an adult has to make when brought a small dull object for admiration by a child.
(Taken from "The Meaning of Liff", but now in common usage.)
Example 1. "My wife accused me of nazeing when she related the events of her workday."
Example 2. "When I explained to Jack the deep implications of my doctoral thesis analyzing the use of hyphens in 17th century English literature, he just kept nazeing me."