探讨数学焦虑、工作记忆与教师实践的关系

L. Duncan, K. High
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引用次数: 0

摘要

Betz(1978)提出68%的数学课学生有高度的数学焦虑。这是最不幸的,因为数学焦虑与数学成绩呈负相关是一个公认的事实(Ashcraft & Kirk, 2001;Ashcraft & Moore出版社,2009;Foley等人,2017)。这并不一定意味着数学焦虑是数学成功潜力较低的一个指标。Arnsten(2009)和Diamond等人(2007)表明,适度的焦虑有助于集中注意力和增强工作记忆,这是数学能力的一个主要因素。研究还表明,对于那些工作记忆容量高的人来说,数学焦虑与数学成绩之间的负相关关系更强(Foley et al., 2017)。虽然对工作记忆和情境因素与数学焦虑相关的研究很多,但将工作记忆与数学焦虑相关的课堂经历相结合的研究并不多见。此外,很少有关于数学焦虑的研究包括广泛的数学焦虑水平的参与者。在这项研究中,我们以参加一年微积分课程的学生为样本。我们深入研究了学生是如何经历数学焦虑的,以及他们是如何解释过去的课堂经历的。这项研究对数学焦虑和一般焦虑都进行了测试。访谈是为了检查过去的课堂经历,以及这些经历如何帮助塑造学生对数学焦虑的信念。我们使用Ramirez等人(2018)开发的解释框架来探索课堂体验对数学焦虑发展的影响。在这个框架下,我们希望发现教师如何构建严谨而引人入胜的课堂活动,从而最终给学生留下良好的印象。我们还使用Ashcraft & Kirk(2001)提出的中断账户框架来解释工作记忆影响数学焦虑和数学成绩的作用。面试包括各种工作记忆测试以及书面数学程序。我们希望将我们从这些活动中获得的信息与我们收集的数学焦虑数据和经验相结合,以更深入地了解我们是如何理解数学焦虑的。
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Exploring the relationship between math anxiety, working memory and teacher practices
Betz (1978) proposed that 68% of students in mathematics classes experience high levels of math anxiety. This is most unfortunate as it is a well-established fact that math anxiety is negatively correlated with mathematics performance (Ashcraft & Kirk, 2001; Ashcraft & Moore, 2009; Foley et al., 2017). This does not necessarily imply that math anxiety is an indicator of lower potential to succeed in mathematics. Arnsten (2009) and Diamond et al. (2007) have shown that moderate levels of anxiety can help focus attention and enhance working memory which is known to be a major factor in math competence. It has also been shown that the negative correlation between math anxiety and math performance is stronger for those with high working memory capacity (Foley et al., 2017). Though there has been much research on working memory and situational factors associated with math anxiety, there is not much research which synthesizes the data on working memory with classroom experiences relating to math anxiety. Furthermore, few studies on math anxiety include participants with a broad range of math anxiety levels. In this study, we sample students in a year-long calculus course. We dig deeper into how students experience math anxiety and how they interpret past classroom experiences. The study utilizes tests for both math anxiety and general anxiety. Interviews are conducted in order to examine past classroom experiences and how these experiences helped to shape the students’ belief of math anxiety. We use the interpretation framework developed by Ramirez et al. (2018) to explore the impact of classroom experiences on the development of math anxiety. Under this framework, we hope to discover ways in which the instructor can construct rigorous and engaging classroom activities which would ultimately fashion a favorable impression upon the student. We also use the disruption account framework proposed by Ashcraft & Kirk (2001) to interpret the role in which working memory affects math anxiety and math performance. The interviews include various working memory tests along with written mathematical procedures. We hope to synthesize the information we gain from these activities with the data we collected for math anxiety and experiences in order to gain deeper insight into how we understand math anxiety.
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