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.

The textbook is there so that the model has something reasonably correct to work with and doesn't make up too much wrong stuff to teach.

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.

> I want them to be basing this off of the experience of going to the most effective private tutors.

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.