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This paper examined what structural relationship metacognition and flow, which are identified as major variables that positively influence creative problem solving ability, had with mathematics creative problem solving ability. For this purpose, the Mathematics Creative Problem Solving Ability Test ...

This paper examined what structural relationship metacognition and flow, which are identified as major variables that positively influence creative problem solving ability, had with mathematics creative problem solving ability. For this purpose, the Mathematics Creative Problem Solving Ability Test (MCPSAT) was given go 196 general second-year middle school students, and their cognitive and affective states were measured with metacognition and flow tests. The three variables' relationships were examined through a correlation analysis and, through structural equation modeling, the mediating effect of flow was tested in the structural relationships between the three variables and in the relationship between metacognition and mathematics creative problem solving ability. The results of the research show that metacognition did not directly influence mathematics creative solving ability, but exerted influence through the mediating variable of flow. A more detailed examination shows that while metacognition did not influence fluency and originality from among the measured variables for mathematics creative problem solving ability, it did directly influence flexibility. In particular, metacognition's indirect influence through the mediating variable of flow was shown to be much stronger than its direct influence on flexibility. This research showed that the students' high metacognition ability increased flow degree in the problem solving process, and problem solving in this state of flow increased their mathematics creative problem solving ability.

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