A New Model of Creativity in Mathematical Problem Solving

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Conference Proceeding

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Myriad definitions of creativity in mathematics have been promulgated (Mann, 2005). The construct of creativity being comprised of fluency, flexibility, originality, and elaboration (Haylock, 1997; Imai, 2000; Kim, Cho, & Ahn, 2003) is generally agreed upon in the field of mathematics education. The purpose of this paper is to propose an additional component to the construct of creativity in mathematics. The fifth component of creativity is iconoclasm. Iconoclasm entails the penchant of mathematically creative individuals to dissent from commonly accepted principles and solutions. Iconoclasts are known to be nonconformist and may thus be open to uncommon or non-traditional solution paths.