For people who want to learn or teach mathematics on the basis of reason …
Student User Manual
This is not intended to tell the student/reader how to run
life, in particular, this is not intended to explain how to learn
mathematics. That is something that will be the object of another page. The goal of this "manual" is only to help the
student/reader how best to use this text and the Review DISCUSSIONS that go with the text by
explaining under what assumptions the author wrote them.
While, to a degree, it is the other side of the instructor manual, it
is not just that.
SOON TO BE CONTINUED
is amazingly compressible: you may struggle a long time, step by step,
to work through some process or idea from several approaches. But once
you really understand it and have the mental perspective to see it as a
whole, there is often a tremendous mental compression. You can file it
away, recall it quickly and completely when you need it, and use it as
just one step in some other mental process. The insight that goes with
this compression is one of the real joys of mathematics."
(Thurston, W. P. (1990). Mathematical Education, Notices of the
American Mathematical Society, 37 7, 844-850)