Xu Xiaoyu, Dieckmann Jack A
School of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, China.
Graduate School of Education, Stanford University, Stanford, CA, United States.
Front Psychol. 2025 Jun 5;16:1598817. doi: 10.3389/fpsyg.2025.1598817. eCollection 2025.
Mathematical Mindset (MM), Growth Mindset (GM), and Self-Efficacy (SE) are critical psychological constructs that shape students' mathematical achievement by influencing cognitive flexibility, problem-solving strategies, and motivational persistence. This study, based on data derived from Xu et al., extends prior research by examining the distinct contributions of MM, GM, and SE in response to an intervention among university students. To better understand how neuroplasticity, MM, and GM manifest in this study, thematic analysis was applied to qualitative interview data, providing deeper insights into the cognitive and behavioral changes induced by the intervention. Using a mixed-methods approach, we analyze quantitative data through correlation heatmaps, contour plots, and scatter visualizations, alongside qualitative data, to provide a comprehensive understanding of how these constructs interact. Findings reveal that MM and SE exhibit a synergistic relationship, where higher levels of both correspond to increased academic performance, cognitive adaptability, and engagement in mathematics. GM, while indirectly influencing achievement, primarily enhances perseverance and learning from mistakes, contributing to the reinforcement of MM and SE. Future research should refine the measurement of MM and GM across different learning environments, investigate the transferability of GM across domains, and explore the role of brain activity in optimizing intervention effectiveness.
数学思维模式(MM)、成长型思维模式(GM)和自我效能感(SE)是关键的心理结构,它们通过影响认知灵活性、问题解决策略和动机持久性来塑造学生的数学成绩。本研究基于徐等人的数据,通过考察MM、GM和SE在大学生干预中的不同贡献,扩展了先前的研究。为了更好地理解神经可塑性、MM和GM在本研究中的表现,对定性访谈数据进行了主题分析,从而更深入地了解干预引起的认知和行为变化。我们采用混合方法,通过相关热图、等高线图和散点可视化分析定量数据,并结合定性数据,以全面了解这些结构是如何相互作用的。研究结果表明,MM和SE呈现出协同关系,两者水平越高,学术表现、认知适应性和数学参与度就越高。GM虽然间接影响成绩,但主要增强毅力和从错误中学习的能力,有助于强化MM和SE。未来的研究应完善不同学习环境下MM和GM的测量方法,研究GM在不同领域的可转移性,并探索大脑活动在优化干预效果中的作用。