Ideas are elusive and ethereal, and may need “priming” from time to time. For example I get mechanic ideas by playing other games of differing types, and I get thematic ideas by reading books or watching movies. Sometimes I get ideas out of thin air, but it takes other mediums like storytelling or coversations to render it into proto-game form (the spark of a game).
Different people may get their game "muse" in different places, where do you recieve ideas for games from?
As a math teacher, the games that I design are to help my students to learn basic math concepts. Therefore, my games are education-based.