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珠心算的数字表征机制及珠心算练习对儿童数量加工的影响

The Numerical Presentation of Abacus-based Mental Calculation and Its Training Effects on Magnitude Processing in Children

【作者】 杜锋磊

【导师】 唐孝威;

【作者基本信息】 浙江大学 , 凝聚态物理, 2012, 博士

【摘要】 学习是人类与生俱来的一种能力,是人类全面发展的基础。学习是个体在特别情境下,由于练习或反复体验而产生的行为、能力或倾向上的比较持久的变化及其过程。学习的过程实际上就是对某一个特定程序或操作进行不断练习或者训练的过程。珠心算是指对算盘的练习时间较长后,练习者能够在脑海中虚拟出一个算盘,从而脱离实际的算盘操作,用这个虚拟的算盘来实现对数字的操作的计算方法。珠心算训练可以使人在不借助任何工具的情况下进行快速、准确地计算。与传统的心算相比,珠心算能够处理更加复杂的计算任务,也更加快速、准确。脑功能磁共振成像在空间维度上的研究发现,珠心算专家在大脑中是以“虚拟珠像”的方式来对数字进行表征的。本研究以事件相关电位技术为手段,从时间维度对经过珠心算训练后儿童的数字认知能力进行系统的研究。本研究由三部分组成,第一部分以接受近两年和四年珠心算训练的儿童为研究对象,与接受常规教育的对照组儿童(不接受任何珠算训练)进行比较,通过不同表现形式的数字与5进行比较的实验,考察了珠心算训练对数字加工的符号效应和距离效应的影响。第二部分通过数字的Stroop实验范式考察了经过珠心算训练后儿童对阿拉伯数字和珠像数字的自动加工。第三部分考察了经过近两年珠心算训练后,儿童基本数学能力的变化以及执行功能与数学能力的关系。本研究主要得到以下结论:(1)中国儿童对数字的加工存在符号效应和距离效应;对数量加工的距离效应是普遍的,依赖于数量的表现形式;珠心算的训练并没有使距离效应消失或发生明显改变。(2)经过近两年的珠心算训练后,珠心算组儿童对数字的加工与对照组儿童存在差异,他们可能采取了视觉加工的策略;经过四年的珠心算训练后,儿童建立了珠像与其代表的数值之间的联系,能够对珠像数字进行自动加工。(3)珠心算组与对照组儿童的数学运算能力、逻辑思维与空间-视觉能力、总数学能力都存在显著差异;珠心算组与对照组儿童都存在空间兼容效应;经过近两年的珠心算训练后,儿童对冲突的抑制能力有减弱的趋势;珠心算的训练与儿童的转换能力密切相关。

【Abstract】 Human beings are born with the ability of learning, which is the basis of human development. Learning is a course that individual repeats a practice or experience in a specifically instance, and the course can make the behavior, ability or tendency of the human change for long. Actually, the process of learning is a continuously process of practice or learning toward a given procedure. Abacus-based mental calculation(AMC) is a method of calculation that users can calculate by manipulating a imagery abacus in the brain. The imagery abacus was formed in the brain of AMC trainees after a long period of training. The training can make people calculate rapidly and exactly without the help of any actual tools. Comparing to traditional mental calculations, the tasks that the AMC processed are more complex, rapid and nicety. The functional magnetic image(fMRI) studies, which concerned the spatial dimension have found that the AMC trainees represent numbers by an imagery abacus in the brain. The present study attempts to explore the ability of numerical cognition of children from the temporal dimension after a long term AMC training, by adopting the event-related potentials(ERP) technology.This study was composed of three parts. The first part investigated the notion effect and the influence to the magnitude processing after long term AMC practice. Children that accepted about2and4years’AMC trainings participated in the experiment, and they were asked to compare numbers to5with numbers in different notations. In the second part, we investigated the automatic process to Arabic numbers and abacus numbers of children after AMC trainings by adopting the numerical Stroop paradigm. In the third part,we investigated the changes of the mathematics ability and the relation between executive function and mathematics ability of children after about two years’training of AMC.The main findings of our study were as follows:(1) We found the notation effect and distance effect in the Chinese children when they process magnitudes; the distance effect of the magnitude was universal and notation-dependent; the practice of AMC didn’t make the distance effect disappear or change dramatically.(2) The Chinese children can process Arabic numbers automatically in the second grade; the strategy of number processing of the children changed after about2years’ AMC trainings; children have developed a direct connection between the abacus beads and magnitudes, and they processed the abacus numbers automatically after4years’AMC trainings.(3) The mathematics ability of the AMC group was significantly different from the control; the AMC children and the control both showed the spatial compatibility effect; the ability of inhibition to the conflict attribute was tend to be decreased after about2years’ AMC trainings; the ability of transfer between tasks was related a lot to the AMC trainings for the AMC children.

  • 【网络出版投稿人】 浙江大学
  • 【网络出版年期】2014年 04期
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