This question comes from the perspective of an undergraduate math major who feels that much (although not all) of the mathematical discipline is a liberal art, rather than a science, and should be presented as such. I regularly interact with bright, creative peers, whom I think could make terrific mathematicians with training, but who immediately dismiss the study of math. This is often due to poor experiences with math courses in primary and secondary school, or "I'm just more of a humanities person." My interest is more in the latter response: I too am "more of a humanities person"! I would much rather spend a semester doing nothing but literature study than nothing but biology; mathematics is for me and many in my department (and, I'm sure, many people on this forum and math.SE and mathoverflow) artistic, creative, and self-cultivating in the way humanities studies are.
How, then, can we present the mathematical discipline, in its "true form", to students who may otherwise cast it aside as "hard," "cold," and "calculating"? Certainly, there are students who just won't like math, and that's perfectly fine. However, I worry often that there are many students who would flourish while studying math but are not shown the breadth of study that the field encompasses. Perhaps I'm just rambling now, but this does interest me. Thoughts?