Cognitive and Linguistic Bases for Mathematical Development

数学发展的认​​知和语言基础

基本信息

  • 批准号:
    8909566
  • 负责人:
  • 金额:
    $ 24万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Continuing Grant
  • 财政年份:
    1990
  • 资助国家:
    美国
  • 起止时间:
    1990-08-15 至 1993-01-31
  • 项目状态:
    已结题

项目摘要

All mathematical ideas must be expressed in some notation, and the most basic notation of all is the system of number names a language uses. When children learn to count, they must develop basic mathematical concepts at the same time that they figure out the rules of the particular system of number names they are learning. Because languages vary in the way they represent numbers, it is possible to study how linguistic and cultural variation affects the development of mathematical competence. This research will study relations between the linguistic structure of number-naming systems and children's developing mastery of counting and basic arithmetic. The research will produce a model of children's representation of number and how it is affected by the structure of number-naming systems by looking at how children learn to count in Chinese and English. Some experiments will examine the origins of counting in very young children (2.5 years old), to see whether this fundamental mathematical skill varies before the point where the number systems begin to differ. Also included will be a longitudinal study of counting, to describe whether impasses and plateaus in learning to count differ across the two countries. Other experiments will examine how specific features of the number systems affect children's acquisition of particular concepts. For example, Chinese forms ordinal numbers (such as first, second, third, etc.( by using a regular prefix (di') in front of the cardinal number, in contrast to the irregular system of ordinal numbers that English has (first, second, third, fourth, etc.). The research will examine the role this linguistic structure plays in children's learning the conceptual distinction between ordinal and cardinal numbers. Finally, the research will include a study on the development of mental arithmetic in Chinese and American children. Previous research shows that Chinese children outperform their American peers on a variety of mathematical skills. This research should allow the precise description of which aspects of arithmetic skill account for these substantial differences. The poor performance of American children on a wide array of mathematical tasks makes understanding the basis for the advantages Chinese children show a question of obvious practical significance. These questions are of basic scientific interest as well, because an adequate model of the development of mathematical competence must be able to account for the performance of both groups of children. Understanding the cognitive bases for large differences between American and Chinese children is an essential step in figuring out what the implications of these differences are for understanding and promoting cognitive development.
所有的数学概念都必须用某种符号来表达, 最基本的符号是数字名称系统 一种语言使用。 当孩子们学会数数时, 基本的数学概念,同时他们还能弄清楚 特定的数字名称系统的规则, 学习 因为语言表达的方式不同 数字,可以研究语言和文化如何 差异影响数学能力的发展。 本研究将研究语言学与语言学之间的关系, 数字命名系统结构与儿童发展 掌握计数和基本算术。 这项研究将产生一个儿童的模型, 数字的表示以及它如何受到结构的影响 通过观察孩子们是如何学会 用中文和英文计数。 一些实验将检查 幼儿(2.5岁)开始数数, 看看这种基本的数学技能是否在 数字系统开始不同的点。 还包括 将是一个计数的纵向研究,以描述是否 学习数数的僵局和停滞期在这两个国家是不同的。 国家 其他实验将研究特定的特征 数字系统影响儿童获得特定的 理念的 例如,汉语形成序数词(如 第一、第二、第三等。(通过使用常规前缀(di ') 基数的前面,与不规则系统相反 英语中的序数(第一,第二,第三, 第四,等等)。 这项研究将探讨这一作用, 语言结构在儿童概念学习中的作用 序数和基数的区别。 最后 研究将包括一项关于心理发展的研究, 中国和美国儿童的算术能力。 以前的研究 显示,中国儿童在一项 各种数学技能。 这项研究应该允许 精确描述算术技能的哪些方面 这些重大的差异。 美国儿童在一系列广泛的 数学任务使理解的基础, 中国孩子的优点表现出明显的实用性问题 意义 这些问题是基本的科学兴趣 同时,因为一个适当的发展模式, 数学能力必须能够解释 两组孩子的表现。 了解 美国人和英国人之间巨大差异的认知基础 中国儿童是弄清楚什么是最重要的一步。 这些差异的含义是为了理解和 促进认知发展。

项目成果

期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)

数据更新时间:{{ journalArticles.updateTime }}

{{ item.title }}
{{ item.translation_title }}
  • DOI:
    {{ item.doi }}
  • 发表时间:
    {{ item.publish_year }}
  • 期刊:
  • 影响因子:
    {{ item.factor }}
  • 作者:
    {{ item.authors }}
  • 通讯作者:
    {{ item.author }}

数据更新时间:{{ journalArticles.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ monograph.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ sciAawards.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ conferencePapers.updateTime }}

{{ item.title }}
  • 作者:
    {{ item.author }}

数据更新时间:{{ patent.updateTime }}

Kevin Miller其他文献

Frailty and Outcomes after Bispecific T-Cell Engager Therapy for Patients with Relapsed/Refractory Multiple Myeloma
  • DOI:
    10.1182/blood-2024-201824
  • 发表时间:
    2024-11-05
  • 期刊:
  • 影响因子:
  • 作者:
    Benjamin O Adegbite;Carlyn Rose Tan;Tala Shekarkhand;Ross S Firestone;Eric M Jurgens;Kevin Miller;Alexander M. Lesokhin;Gunjan L. Shah;Neha Korde;Sridevi Rajeeve;David J. Chung;Heather J. Landau;Michael Scordo;Hani Hassoun;Kylee H Maclachlan;Urvi A. Shah;Malin Hultcrantz;Issam S. Hamadeh;Sergio Giralt;Sham Mailankody
  • 通讯作者:
    Sham Mailankody
What Role Might There Be for Continuous Glucose Monitoring in the Assessment of Diabetes Risk?
连续血糖监测在糖尿病风险评估中可能发挥什么作用?
Reliance on orthographyand phonology in reading of Chinese: A developmental study
  • DOI:
    DOI:10.1111/1467-9817.12111
  • 发表时间:
    2018
  • 期刊:
  • 影响因子:
  • 作者:
    Wei Zhou;Hua Shu;Kevin Miller;Ming Yan
  • 通讯作者:
    Ming Yan
Graph-Based Active Learning for Surface Water and Sediment Detection in Multispectral Images
基于图的主动学习,用于多光谱图像中的地表水和沉积物检测
Effect of Thromboxane Synthetase lnhibition on Platelet Function and Morphology During Ovine Pregnancy-Induced Hypertension
血栓素合成酶抑制对绵羊妊娠高血压期间血小板功能和形态的影响
  • DOI:
    10.1055/s-0038-1646973
  • 发表时间:
    1988
  • 期刊:
  • 影响因子:
    6.7
  • 作者:
    Kevin Miller;James Keith
  • 通讯作者:
    James Keith

Kevin Miller的其他文献

{{ item.title }}
{{ item.translation_title }}
  • DOI:
    {{ item.doi }}
  • 发表时间:
    {{ item.publish_year }}
  • 期刊:
  • 影响因子:
    {{ item.factor }}
  • 作者:
    {{ item.authors }}
  • 通讯作者:
    {{ item.author }}

{{ truncateString('Kevin Miller', 18)}}的其他基金

MRI: Acquisition of a Gel Permeation Chromatography System with Dynamic Light Scattering Capabilities to Advance Research and Instructional Activities at Murray State University
MRI:采购具有动态光散射功能的凝胶渗透色谱系统,以推进默里州立大学的研究和教学活动
  • 批准号:
    2215040
  • 财政年份:
    2022
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant
RUI: CAS: Collaborative Research: Synthesis, Conductivity and Morphology of Cellulose-Based Ionic Materials
RUI:CAS:合作研究:纤维素基离子材料的合成、电导率和形貌
  • 批准号:
    2104375
  • 财政年份:
    2021
  • 资助金额:
    $ 24万
  • 项目类别:
    Continuing Grant
MRI: Acquisition of a Rheometer to Enhance Interdisciplinary Undergraduate Research and Education at Murray State University
MRI:购买流变仪以加强默里州立大学的跨学科本科生研究和教育
  • 批准号:
    1828251
  • 财政年份:
    2018
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant
RUI: Thiol-ene/yne Poly(ionic liquid) Networks for Separation and Electroactive Technologies
RUI:用于分离和电活性技术的硫醇-烯/炔聚(离子液体)网络
  • 批准号:
    1708632
  • 财政年份:
    2017
  • 资助金额:
    $ 24万
  • 项目类别:
    Continuing Grant
MRI: Acquisition of a Dynamic Mechanical Analyzer
MRI:获取动态机械分析仪
  • 批准号:
    1427778
  • 财政年份:
    2014
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant
NSF East Asia and Pacific Summer Institute for FY 2012 in Australia
NSF 东亚及太平洋地区 2012 财年澳大利亚夏季学院
  • 批准号:
    1209316
  • 财政年份:
    2012
  • 资助金额:
    $ 24万
  • 项目类别:
    Fellowship Award
Representing and Learning from Classroom Processes
代表课堂过程并从中学习
  • 批准号:
    0089293
  • 财政年份:
    2000
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant
Language, Symbol Structure, and Cognitive Development
语言、符号结构和认知发展
  • 批准号:
    0079973
  • 财政年份:
    2000
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant
Cognitive Foundations of Mathematical Skill
数学技能的认知基础
  • 批准号:
    8510546
  • 财政年份:
    1985
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant

相似海外基金

A Cross-Linguistic Study on Speech Fluency in L1 Japanese and L2 English
日语一级和英语二级的言语流利度跨语言研究
  • 批准号:
    24K04169
  • 财政年份:
    2024
  • 资助金额:
    $ 24万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
Use and Concept in Neural Machine Translation and Cross-Linguistic Divergence
神经机器翻译和跨语言分歧中的使用和概念
  • 批准号:
    23K21872
  • 财政年份:
    2024
  • 资助金额:
    $ 24万
  • 项目类别:
    Grant-in-Aid for Scientific Research (B)
Doctoral Dissertation Research: Place, Persona, and Linguistic Style among College Student Border Commuters
博士论文研究:大学生边境通勤者的地点、角色和语言风格
  • 批准号:
    2336567
  • 财政年份:
    2024
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant
CAREER: Investigating linguistic and cognitive abstractions for solving word problems in minds and machines
职业:研究语言和认知抽象以解决大脑和机器中的文字问题
  • 批准号:
    2339729
  • 财政年份:
    2024
  • 资助金额:
    $ 24万
  • 项目类别:
    Continuing Grant
Applying an equity and diversity lens to understand the care experiences and healthcare outcomes of low income and linguistic minority groups in Ontario retirement homes: A mixed methods study
应用公平和多样性的视角来了解安大略省养老院中低收入和语言少数群体的护理体验和医疗保健结果:一项混合方法研究
  • 批准号:
    484613
  • 财政年份:
    2023
  • 资助金额:
    $ 24万
  • 项目类别:
    Fellowship Programs
Linguistic discrimination and migrant youth in regional Australia
澳大利亚乡村地区的语言歧视和移民青年
  • 批准号:
    DE230101209
  • 财政年份:
    2023
  • 资助金额:
    $ 24万
  • 项目类别:
    Discovery Early Career Researcher Award
The linguistic and bibliographic Study of Old Korean Books in Japan
日本古朝鲜书籍的语言学和书目研究
  • 批准号:
    23K00052
  • 财政年份:
    2023
  • 资助金额:
    $ 24万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
Modelling bottom-up and top-down linguistic knowledge across different contexts of bilingual development
在双语发展的不同背景下对自下而上和自上而下的语言知识进行建模
  • 批准号:
    ES/X008266/1
  • 财政年份:
    2023
  • 资助金额:
    $ 24万
  • 项目类别:
    Research Grant
Characteristics of media use and linguistic trajectories during early childhood
幼儿期媒体使用特征和语言轨迹
  • 批准号:
    2235083
  • 财政年份:
    2023
  • 资助金额:
    $ 24万
  • 项目类别:
    Standard Grant
Building an Error-Annotated Corpus of Learner Indonesian and Developing an Automated Writing Support for Japanese Students Using Deep Linguistic Indonesian Parsers
建立一个错误注释的印尼语学习者语料库,并使用深度语言印尼语解析器为日本学生开发自动写作支持
  • 批准号:
    23K12235
  • 财政年份:
    2023
  • 资助金额:
    $ 24万
  • 项目类别:
    Grant-in-Aid for Early-Career Scientists
{{ showInfoDetail.title }}

作者:{{ showInfoDetail.author }}

知道了