Learn Your Way: Reimagining Textbooks with Generative AI

"a list can be used for a recipe"

"a set can be used to list all the unique ingredients you need to buy for a week's meals"

"a map can be used for a cookbook"

"a priority queue can be used to manage orders in a busy restaurant kitchen"

"a food-pairing graph can show which ingredients taste good together"

Maybe I'm over-estimating the taste of 7th graders, but I feel like I would get sick of this really quickly.

I do think there is pedagogical value in showing where these concepts can be used practically and the advantage of LLMs is that you can transform the examples to what you're actually interested in. For example the Red Blob Games series on A* pathfinding are really good at showing how Dijkstra and graph traversal algorithms work, for a use-case (video games) that is appealing to a lot of nerdy people.

Your suggestion is interesting but I am not convinced that a student would be helped by aligning the examples with their interests. I could see a student asking how trig relates to computer games and the example the LLM generates becoming much more involved.

I see no problem with the examples being boring. The people that developed these techniques had such fundamental problems to solve and the wonder to me is the human mind that came up with these methods.

All this to say, maybe we lack appreciation for the fundamental sciences that underpin every aspect of our modern lives.

The trouble is a lot of those practical examples fall into the, "why would I care category". I had a high school physics teacher who described his university antics, one of which included a funny story of a bunch of his friends climbing on top of each other to measure the height of a flag pole. I guess the profs got tired of dealing with students scaling flag poles because I was measuring the height of mountains on the moon at the same university a couple of years later. The thing is nobody really cares about the height of a flag pole, while only a few would care about the height of the mountains on the moon.

The reality is the interesting applications are much more involved. They either require a depth of thought of process or a depth of knowledge that isn't appropriate for a textbook question. Take that trigonometry in games example. The math to do it was in my middle school curriculum, but it becomes obvious that computer graphics is more than trigonometry the moment you try to frame it as an example. I had linear algebra in high school. That will take you pretty far with the mathematics, but it will also be clear that a knowledge of computer programming is involved. Even knowing how to program isn't going to take you all of the way because few are interested in rendering verticies and edges ...

And that is just the obvious progression of knowledge in a simple application. Physics itself involves buckets full of trigonometry in extremely non-obvious ways, non-geometric ways.