I think more creativity should be encouraged as if the student wasn't just learning material but how to be a generative mathematician of interesting new ideas a

I think more creativity should be encouraged as if the student wasn't just learning material but how to be a generative mathematician of interesting new ideas and proofs. The Moore Method is a well known pedagogical method of teaching math courses. A text for humanities students on higher-math (it is on the lower-higher fringe I suppose) that emphasizes this perspective but is not as spartan is Mathematics A Creative Art by Julia Wells Bower. See "The Moore Method", The Journal of Inquiry-Based Learning in Mathematics (JIBLM) has course notes http://www.jiblm.org/ http://www.jiblm.org/ Authors I have enjoyed are Spivak & Knuth but that is more about elegance and pedagogical style.