The “Mathematical Ideas” course as an innovation project for critical mathematical citizens

Mathematics has traditionally been blamed for being one of the preponderant factors that explains students’ dropout in universities. This assessment may seem rather violent; however, it is not so far from reality. We miss aspects related to empathy with new generations of students and a closer use of mathematics in the incorporation of new discourses. Therefore, in this communication, we discuss some aspects related to our understanding of mathematics for "non-mathematicians" in the university. Specifically, we reinterpret the idea of mathematically training critical citizens and propose the innovative design of a university mathematics subject taught at the School of Human Sciences at a Colombian university.