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Problem-Solving Before Instruction (PS-I): A Protocol for Assessment and Intervention in Students with Different Abilities
Published on: September 11, 2021
Preservice Mathematics Teachers' Problem-Solving Self-Efficacy, Critical Thinking Disposition, and Mathematical
Murat Genç1, Mustafa Akıncı1, İlhan Karataş1
1Department of Mathematics and Science Education, Zonguldak Bülent Ecevit University, Zonguldak 67300, Turkey.
Abstract:
Developing flexible thinking, generating alternative solution strategies, and producing original ideas are increasingly emphasized in mathematics education. This study examines the relationships among preservice elementary mathematics teachers' problem-solving self-efficacy, critical thinking disposition, and mathematical creativity self-efficacy. Drawing on a theoretically informed framework, it specifically investigates whether critical thinking disposition statistically mediates the association between problem-solving self-efficacy and mathematical creativity self-efficacy. Data were collected from 554 preservice elementary mathematics teachers. Analyses included descriptive statistics, Pearson correlations, and bootstrap-based observed-variable path analysis to obtain robust estimates of direct and indirect associations. Findings indicated that positive problem-solving self-efficacy was strongly associated with critical thinking disposition, which was, in turn, positively associated with mathematical creativity self-efficacy. Critical thinking disposition also statistically mediated the association between problem-solving self-efficacy and mathematical creativity self-efficacy. A reverse-direction model showed comparably good overall fit, indicating that the observed data were also compatible with an alternative directional ordering. These findings suggest that problem-solving self-efficacy and critical thinking disposition represent complementary cognitive-affective constructs that are empirically associated with perceptions of mathematical creativity. Given the cross-sectional design, the findings should not be interpreted as evidence of causal direction. The results instead provide empirical support for a theoretically motivated model of the associations among problem-solving self-efficacy, critical thinking disposition, and mathematical creativity self-efficacy.
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