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https://ncase.me Nicky Case has a knack for explaining complex systems in simple ways through games
I think about the network theory one almost every day, can't recommend it highly enough: https://ncase.me/crowds/
I've learned a lot from coding board/puzzle games into playable programs/solvers: Boggle, Scrabble, Kakuro, etc.
Factorio is a fantastic game for learning systems engineering, and thinking in abstractions. It’s a crafting game similar to Minecraft, and a building game like roller coaster tycoon (but factories instead of theme parks). It’s also very very fun! This game challenges the player to create more and more complex automated systems. If you liked Technic Mods for Minecraft, you’ll love Factorio. https://factorio.com/
Not a game but a book about a game, but learning the game helps you learn probability, permutations and combinations.
[full disclosure] I developed this. We collaborated with London Sinfonietta Orchestra to get the pedagogy right.
We aimed to make a game that is both engaging and addictive, whilst also teaching real musical skill (in contrast to say Guitar Hero :o). The pedagogy and game mechanics did clash into each other during development, we did a lot of user testing to find a balance. Raph Koster's Theory of Fun for Game Design was invaluable, as were lectures and posts by Daniel Cook.
It's a hard game, especially for people with no musical background, but nonetheless we had strong engagement.
Players who topped the leaderboard after a few months were invited to perform at a live event. They were pretty good, but then I didn't see them perform before they played the game.
Steve Reich’s Clapping Music aims to teach people how to perform a piece of contemporary music from the ground up: http://clappingmusicapp.com/ [full disclosure] I developed this. We collaborated with London Sinfonietta Orchestra to get the pedagogy right. We aimed to make a game that is both engaging and addictive, whilst also teaching real musical skill (in contrast to say Guitar Hero :o). The pedagogy and game mec…
https://ncase.me Nicky Case has a knack for explaining complex systems in simple ways through games
And if you are into geopolitics, history, wargaming, classical, etc, 0AD ... https://play0ad.com