I feel like this is thinking too small. I don’t want a better textbook. I want them to be basing this off of the experience of going to the most effective private tutors.
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Good goal, but they've got to start somewhere.
Delivering an education experience even 80% as effective as the best private tutors would be a huge achievement.
For tutoring, I think the approach in https://www.nature.com/articles/s41598-025-97652-6 is promising. (Prompts are included in the supplementary material on the last page: https://static-content.springer.com/esm/art%3A10.1038%2Fs415... ) They start with an existing collection of worked exercises, give the chatbot access to the full solution and then let students interact with it to get a walkthrough or just check their own solution, depending on how much help the student thinks they need.