Even in pure mathematics, a good rule is to give examples (if simple) right after the definitions. Examples always help. Here's a post by the Fields medallist

Even in pure mathematics, a good rule is to give examples (if simple) right after the definitions. Examples always help. Here's a post by the Fields medallist Tim Gowers: https://gowers.wordpress.com/2007/10/19/my-favourite-pedagogical-principle-examples-first/ https://gowers.wordpress.com/2007/10/19/my-favourite-pedagog...