전문수학자의 수학에 대한 신념

Abstract

This research took an interpretive approach to investigate professional mathematicians' conception of mathematics, particularly focusing on their beliefs about the nature of mathematics as a discipline, and the relation between the discipline and themselves as knowers. The analysis shows that the professional mathematicians consider mathematics as human practice. For mathematicians, mathematics as a product is considered as a crystalization of practice that emerges in the dialogical relation between the discipline and its practitioners. This dialogical nature of mathematics suggests that professional mathematicians consider mathematics not as isolated fixed knowledge but as something they are playfully engaged with. The results of this research extend our understanding of what mathematics is and provide an alternative perspective on mathematics to make the learning of mathematics more accessible by dismantling the myth of the rationalist pure objectivity in mathematics.