Note: This question is ment to extend the scope of some related questions of mine. I would appreciate very much any suggestion to improve the way the question is posed.
I would like to ask what is -- according to your experience as students beforehand and educators then -- a sensible approach to develop undergraduate students' mathematical intuition (*) (that is visual thinking, etc.).
As the question is very broad, collections of references to research papers in the field of mathematical education and to fitting textbooks are very welcome ad accepted as helpful answers (at least by me).
(*) in general, but in particular as regards the following fields:
- Mathematical/theoretical physics/ dynamical systems;
- Linear Algebra;
- Abstract Algebra;
- Number Theory;