A comprehensive study on the embodiment in understanding of number

数字理解体现的综合研究

• 批准号: 16530427
• 负责人: SUGIMURA Shinichiro
• 金额: $ 1.98万
• 依托单位: Hiroshima University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2004
• 资助国家: 日本
• 起止时间: 2004 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-16530427/
• 关键词: Calculation; Counting; Mathematical ability; Representation of number; Embodied cognition; Cognitive development; Informal mathematics; Mathematics education; 数の理解; 計算能力

Recently, acquisition of basic count ability has become increasingly valued, but, in many cases, the process is not sufficiently clarified. This study was intended to explore the process of mastering informal mathematics from the viewpoints of embodied cognition, focusing on the use of fingers during calculation.(1) The performances would be enhanced when accompanying body movements were observed at least in some tasks and various body movements were observed depending on their age at these tasks.(2) Calculation ability relates to representation of number, but don't relate to counting activity for first grade. For second grade, any relationship was not found.(3) When they were elementary school students, the ratio of the students who were good at calculations and arithmetic in the group of the students who did not use fingers is higher than the ratio in the groups of the students who used fingers. Additionally, among the groups of the students who used fingers, the ratio of those who were good at calculations and arithmetic becomes lower as they used fingers longer.(4) 70 percent of parents answered that they wanted their children refrain from using fingers while calculating before they get second graders. The reasons were that they would prefer calculating on mind and they were supposed to learn multiplication in the second grade.Those findings were discussed from the viewpoints of cognitive development and mathematics education.

最近，基本计数能力的获得越来越受到重视，但在许多情况下，该过程还不够明确。本研究旨在从具身认知的角度探讨掌握非形式数学的过程，重点关注计算过程中手指的使用。（1）至少在某些任务和各种身体中观察到伴随的身体运动时，表现会得到提高根据他们执行这些任务的年龄来观察动作。(2) 计算能力与数字的表示有关，但与一年级的计数活动无关。对于二年级，没有发现任何关系。(3)小学生时，不使用手指的学生组中擅长计算和算术的学生的比例高于不使用手指的学生组中的比例。使用手指的学生组。另外，在使用手指的学生群体中，手指越长，擅长计算和算术的学生比例就越低。（4）70%的家长回答，希望孩子在计算时不要使用手指在他们招收二年级学生之前。原因是他们更喜欢心算，并且他们应该在二年级学习乘法。从认知发展和数学教育的角度对这些发现进行了讨论。

项目成果

Relationship of the use of fingers in doing calculations with the self-concept in arithmetic/mathematics : A reexamination on junior and vocational college students

算术/数学中手指计算的使用与自我概念的关系——对专科生和高职生的重新审视

• 发表时间: 2006
• 期刊: Bulletin of the Graduate School of Education, Part. III (Education and Human Science), Hiroshima University 55
• 作者: Shinichiro Sugimura;Masataka Koyama
• 通讯作者: Masataka Koyama

指を利用して計算する子どもに対する教師の指導

老师指导孩子用手指计算

• 发表时间: 2006
• 期刊: 秋田大学教育文化学部教育実践研究紀要 28
• 作者: 山名裕子;杉村伸一郎
• 通讯作者: 杉村伸一郎

Instruction to children who use of fingers during calculations : The results obtained from teachers' interview and an exploratory questionnaire

对使用手指进行计算的儿童的指导：从教师访谈和探索性问卷中获得的结果

• 发表时间: 2006
• 期刊: Bulletin of the Center for Educational Research and Practice, Faculty of Education and Human Studies, Akita University 28
• 作者: Yuko Yamana;Shinichiro Sugimura
• 通讯作者: Shinichiro Sugimura

Young children's use of fingers in doing addition

幼儿用手指做加法

• 发表时间: 2005
• 期刊: The Annual Research on early childhood 27
• 作者: Shinichiro Sugimura;Yuko Yamana
• 通讯作者: Yuko Yamana

計算時における指の利用と算数・数学能力との関連

计算时手指的使用与算术/数学能力之间的关系

• 发表时间: 2006
• 期刊: 幼年教育研究年報 28
• 作者: 杉村伸一郎;山名裕子
• 通讯作者: 山名裕子