Abstract
This study examined the relationship between two types of mathematical flexibility - potential flexibility, which indicates individuals' knowledge of multiple strategies and strategy efficiency, and practical flexibility, which refers to individuals' flexible performances when solving math problems. Both types of flexibility were assessed in the domain of linear equation solving. Furthermore, two types of beliefs - self-efficacy and use of flexible cognition (UFC) - were investigated as potential moderators between potential and practical flexibility. 121 8th grade students from China took part in this study. Results indicate that potential flexibility positively predicted practical flexibility. Additionally, self-efficacy and UFC might moderate the relationship between these two types of flexibility, suggesting that potential flexibility may lead to different degrees of practical flexibility depending on different levels of beliefs. Implications of these findings for research on mathematical flexibility and for educational practice are discussed.