TITLE: Learning through guided discovery
QUESTION [25 upvotes]: I have been working through Kenneth P. Bogart's "Combinatorics Through Guided Discovery". You can download it from this page: http://www.math.dartmouth.edu/news-resources/electronic/kpbogart/
I've found that it is a great way to learn and makes me think about the concepts as if I were discovering them. I think that a lot of people will find benefit in working through such a book.
I've looked for books in the same spirit as this one: learning through guided discovery, but my searches haven't been fruitful.
Does anyone know of any such books?

REPLY [3 votes]: Vakil's Rising Sea as a first introduction to modern algebraic geometry!
There is also quite a psychological element in his writing. Often he gives really long hints to his exercises. If one compares such hints with classical texts, then one often finds that he does not give fewer details than classical texts! Indeed, often these hints were actual proofs of theorems in a previous version of his notes which he turned to hints of an exercise.
The psychological effect is the following. While e.g. Hartshorne write "We have x, and thus y", Vakil writes "Convince yourself of x. Show that this implies y.", so in the first instance I would get frustrated as to why I can't understand a seemingly simple proof but reading Vakil I would be proud to have solved another exercise and the step would better stick to my memories.