College of Teacher Education, Hubei University of Education, Wuhan, China.
College of Mathematics and Statistics, Hubei University of Education, Wuhan, China.
PLoS One. 2024 Apr 16;19(4):e0297013. doi: 10.1371/journal.pone.0297013. eCollection 2024.
Skillful utilization of mental arithmetic can significantly improve students' mathematical computation ability. However, it was observed that primary school students often resort to reiterating the process of written arithmetic in their minds during mental arithmetic, which is not conducive to their numerical ability improvement. This paper devises a set of graphic teaching aids for primary school students' mental arithmetic improvement based on mental arithmetic strategies, schema theory, and working memory. To validate the effectiveness of schema teaching in enhancing mental arithmetic ability among primary school students, a controlled experiment was conducted with two groups of third-grade students randomly selected from a primary school in Jingshan City. The results, obtained through descriptive statistical analysis and the multitrait-multimethod approach (MTMM), indicated that the experimental group (n = 52) demonstrated significant improvements in speed, accuracy, and stability in mental addition and subtraction after a 14-day instruction period in schema teaching. This study offers a potent mental arithmetic teaching strategy for elementary mathematics education, which can lead to a comprehensive enhancement of students' mental calculation abilities. It also holds promise for inspiring innovative teaching methodologies in primary and secondary mathematics education in the future.
熟练运用心算可以显著提高学生的数学计算能力。然而,我们观察到小学生在进行心算时,往往会在脑海中重复书面计算的过程,这不利于他们的数能力提高。本文基于心算法则、图式理论和工作记忆,为小学生心算能力的提高设计了一套图形教学辅助工具。为了验证图式教学在提高小学生心算能力方面的有效性,我们在京山市的一所小学随机选取了两组三年级学生进行了对照实验。通过描述性统计分析和多特质-多方法方法(MTMM),结果表明,实验组(n=52)在接受了 14 天的图式教学后,在心算加减方面的速度、准确性和稳定性方面都有显著提高。本研究为基础数学教育提供了一种有力的心算教学策略,可以全面提高学生的心算能力。它也为未来中小学数学教育中激发创新教学方法提供了可能性。