Impediments to mathematical creativity: Fixation and flexibility in proof validation

Mathematical techniques in proof writing can be narrowed down to specific styles. Simply put, proofs direct or indirect- the latter using Law of Excluded Middle from logic as well axiom Choice, prove existence mathematical objects. However, thinking skills involved indirect are prone errors, especially novice writers such prospective teachers. Creativity mathematics entails use both and approaches determine validity a statement. In this article, I shed some light on relationship, by reporting findings study how students comprehend validate proofs. Furthermore, constructs fixation flexibility creativity research examine student