各种数列估算:系统回顾、模型和数据

IF 5.7 1区 心理学 Q1 PSYCHOLOGY, DEVELOPMENTAL
{"title":"各种数列估算:系统回顾、模型和数据","authors":"","doi":"10.1016/j.dr.2024.101161","DOIUrl":null,"url":null,"abstract":"<div><div>The psychophysical function that best fits human data from number-line estimation is the subject of a lively, on-going debate with important theoretical and practical implications. We comprehensively reviewed articles which tested competing psychophysical functions and found systematic variablility in task design. To test whether one function could account for data across diverse tasks, we examined 158 children’s and adults’ estimates using two 2 × 2 designs, crossing symbol (symbolic, non-symbolic) and boundedness (bounded, unbounded) on free number-line tasks (Experiment 1) and crossing the same factors on anchored tasks (Experiment 2). This yielded eight varieties of number-line estimation: four old varieties for testing replicability and four new varieties for testing generalizability. Across the eight varieties, 88.84 % of participants provided estimates better fit by a mixed log-linear model than competing models, with weights of the logarithmic component (<em>λ</em>) decreasing with age in each task. Unlike parameters of competing models, <em>λ</em> on any given task significantly predicted <em>λ</em> on the other 7 tasks, as well as predicting arithmetic skills. Results suggest that representations of numerical magnitude play the largest part in number-line estimation, and the “logarithmic-to-linear shift” provides the most accurate and generalizable description of how number-line estimation develops. (196 words)</div></div>","PeriodicalId":48214,"journal":{"name":"Developmental Review","volume":null,"pages":null},"PeriodicalIF":5.7000,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Varieties of Number-Line Estimation: Systematic Review, Models, and Data\",\"authors\":\"\",\"doi\":\"10.1016/j.dr.2024.101161\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The psychophysical function that best fits human data from number-line estimation is the subject of a lively, on-going debate with important theoretical and practical implications. We comprehensively reviewed articles which tested competing psychophysical functions and found systematic variablility in task design. To test whether one function could account for data across diverse tasks, we examined 158 children’s and adults’ estimates using two 2 × 2 designs, crossing symbol (symbolic, non-symbolic) and boundedness (bounded, unbounded) on free number-line tasks (Experiment 1) and crossing the same factors on anchored tasks (Experiment 2). This yielded eight varieties of number-line estimation: four old varieties for testing replicability and four new varieties for testing generalizability. Across the eight varieties, 88.84 % of participants provided estimates better fit by a mixed log-linear model than competing models, with weights of the logarithmic component (<em>λ</em>) decreasing with age in each task. Unlike parameters of competing models, <em>λ</em> on any given task significantly predicted <em>λ</em> on the other 7 tasks, as well as predicting arithmetic skills. Results suggest that representations of numerical magnitude play the largest part in number-line estimation, and the “logarithmic-to-linear shift” provides the most accurate and generalizable description of how number-line estimation develops. (196 words)</div></div>\",\"PeriodicalId\":48214,\"journal\":{\"name\":\"Developmental Review\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":5.7000,\"publicationDate\":\"2024-10-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Developmental Review\",\"FirstCategoryId\":\"102\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0273229724000455\",\"RegionNum\":1,\"RegionCategory\":\"心理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PSYCHOLOGY, DEVELOPMENTAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Developmental Review","FirstCategoryId":"102","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0273229724000455","RegionNum":1,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PSYCHOLOGY, DEVELOPMENTAL","Score":null,"Total":0}
引用次数: 0

摘要

最适合人类数列估算数据的心理物理函数是一场持续激烈争论的主题,具有重要的理论和实践意义。我们全面回顾了测试相互竞争的心理物理函数的文章,发现任务设计存在系统性差异。为了检验一种函数是否能解释不同任务中的数据,我们采用两个 2 × 2 设计,在自由数列任务(实验 1)中交叉符号(符号、非符号)和有界性(有界、无界),在锚定任务(实验 2)中交叉相同因素,对 158 名儿童和成人的估计值进行了检验。由此产生了八种数列估算方法:四种用于测试可复制性的旧方法和四种用于测试可推广性的新方法。在这 8 个品种中,88.84% 的参与者所提供的估计值在混合对数线性模型中的拟合效果优于竞争模型,在每个任务中,对数部分(λ)的权重随着年龄的增长而减小。与竞争模型的参数不同,任何特定任务中的λ都能显著预测其他 7 项任务中的λ,同时还能预测算术技能。结果表明,数字大小的表征在数列估算中起着最大的作用,而 "对数到线性的转变 "对数列估算的发展过程提供了最准确和可推广的描述。(196字)
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Varieties of Number-Line Estimation: Systematic Review, Models, and Data
The psychophysical function that best fits human data from number-line estimation is the subject of a lively, on-going debate with important theoretical and practical implications. We comprehensively reviewed articles which tested competing psychophysical functions and found systematic variablility in task design. To test whether one function could account for data across diverse tasks, we examined 158 children’s and adults’ estimates using two 2 × 2 designs, crossing symbol (symbolic, non-symbolic) and boundedness (bounded, unbounded) on free number-line tasks (Experiment 1) and crossing the same factors on anchored tasks (Experiment 2). This yielded eight varieties of number-line estimation: four old varieties for testing replicability and four new varieties for testing generalizability. Across the eight varieties, 88.84 % of participants provided estimates better fit by a mixed log-linear model than competing models, with weights of the logarithmic component (λ) decreasing with age in each task. Unlike parameters of competing models, λ on any given task significantly predicted λ on the other 7 tasks, as well as predicting arithmetic skills. Results suggest that representations of numerical magnitude play the largest part in number-line estimation, and the “logarithmic-to-linear shift” provides the most accurate and generalizable description of how number-line estimation develops. (196 words)
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Developmental Review
Developmental Review PSYCHOLOGY, DEVELOPMENTAL-
CiteScore
11.00
自引率
3.00%
发文量
27
审稿时长
51 days
期刊介绍: Presenting research that bears on important conceptual issues in developmental psychology, Developmental Review: Perspectives in Behavior and Cognition provides child and developmental, child clinical, and educational psychologists with authoritative articles that reflect current thinking and cover significant scientific developments. The journal emphasizes human developmental processes and gives particular attention to issues relevant to child developmental psychology. The research concerns issues with important implications for the fields of pediatrics, psychiatry, and education, and increases the understanding of socialization processes.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信