• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利:CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法,用中文像聊天一样搜索,搜遍4000万医学文献。AI智能推荐,让科研检索更轻松。

立即免费搜索

文件翻译

保留排版,准确专业,支持PDF/Word/PPT等文件格式,支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述,25分钟生成高质量综述,智能提取关键信息,辅助科研写作。

立即免费体验

数学中的U型发展:7岁儿童在等价问题上的表现优于9岁儿童。

U-shaped development in math: 7-year-olds outperform 9-year-olds on equivalence problems.

作者信息

McNeil Nicole M

机构信息

Department of Psychology, University of Notre Dame, Notre Dame, IN 46556, USA.

出版信息

Dev Psychol. 2007 May;43(3):687-95. doi: 10.1037/0012-1649.43.3.687.

DOI:10.1037/0012-1649.43.3.687
PMID:17484580
Abstract

What is the nature of the association between age (7-11 years) and performance on mathematical equivalence problems (e.g., 7+4+5+7+_)? Many prevailing theories suggest that there should be a positive association. However, change-resistance accounts (e.g., N. M. McNeil & M. W. Alibali, 2005b) predict a U-shaped association. The purpose of the present research was to test these differing predictions. Results from two studies supported a change-resistance account. In the first study (N=87), performance on equivalence problems declined between the ages of 7 and 9 and improved between the ages of 9 and 11. The decrements in performance between the ages of 7 and 9 were then replicated in a second study (N=35). Results suggest that the association between age and performance on equivalence problems is U-shaped.

摘要

7至11岁的年龄与数学等价问题(例如,7+4+5+7+_)的表现之间的关联本质是什么?许多主流理论认为应该存在正相关。然而,抗变化理论(例如,N.M.麦克尼尔和M.W.阿利巴利,2005b)预测存在U型关联。本研究的目的是检验这些不同的预测。两项研究的结果支持了抗变化理论。在第一项研究(N=87)中,等价问题的表现在7岁至9岁之间下降,在9岁至11岁之间提高。7岁至9岁之间表现的下降随后在第二项研究(N=35)中得到了重复。结果表明,年龄与等价问题表现之间的关联是U型的。

相似文献

1
U-shaped development in math: 7-year-olds outperform 9-year-olds on equivalence problems.数学中的U型发展:7岁儿童在等价问题上的表现优于9岁儿童。
Dev Psychol. 2007 May;43(3):687-95. doi: 10.1037/0012-1649.43.3.687.
2
Limitations to teaching children 2 + 2 = 4: typical arithmetic problems can hinder learning of mathematical equivalence.教孩子2+2=4存在的局限性:典型的算术问题可能会阻碍对数学等价性的学习。
Child Dev. 2008 Sep-Oct;79(5):1524-37. doi: 10.1111/j.1467-8624.2008.01203.x.
3
Working memory and literacy as predictors of performance on algebraic word problems.工作记忆和读写能力作为代数应用题表现的预测指标。
J Exp Child Psychol. 2004 Oct;89(2):140-58. doi: 10.1016/j.jecp.2004.07.001.
4
Kindergartners' understanding of additive commutativity within the context of word problems.幼儿园儿童在应用题情境中对加法交换律的理解。
J Exp Child Psychol. 2001 May;79(1):23-36. doi: 10.1006/jecp.2000.2580.
5
Developing access to number magnitude: a study of the SNARC effect in 7- to 9-year-olds.发展对数的大小的认知:一项关于7至9岁儿童空间数字反应联合效应的研究。
J Exp Child Psychol. 2008 Oct;101(2):99-113. doi: 10.1016/j.jecp.2008.05.001. Epub 2008 Jul 3.
6
Number-word sequence skill and arithmetic performance.数字-单词序列技能与算术表现。
Scand J Psychol. 2005 Apr;46(2):157-67. doi: 10.1111/j.1467-9450.2005.00445.x.
7
Math in actions: actor mode reveals the true arithmetic abilities of French-speaking 2-year-olds in a magic task.
J Exp Child Psychol. 2009 Jul;103(3):376-85. doi: 10.1016/j.jecp.2009.02.002. Epub 2009 Mar 16.
8
Individual differences in trajectories of arithmetical development in typically achieving 5- to 7-year-olds.5至7岁发育正常儿童算术能力发展轨迹的个体差异。
J Exp Child Psychol. 2009 Aug;103(4):455-68. doi: 10.1016/j.jecp.2009.01.011. Epub 2009 Mar 17.
9
Improving postswitch performance in the dimensional change card-sorting task: the importance of the switch and of pretraining by redescribing the test cards.提高维度变化卡片分类任务中的切换后表现:通过重新描述测试卡片进行切换及预训练的重要性。
J Exp Child Psychol. 2007 Dec;98(4):243-51. doi: 10.1016/j.jecp.2007.05.004. Epub 2007 Jun 27.
10
Benefits of practicing 4 = 2 + 2: nontraditional problem formats facilitate children's understanding of mathematical equivalence.练习 4=2+2 的好处:非传统问题格式有助于儿童理解数学等价。
Child Dev. 2011 Sep-Oct;82(5):1620-33. doi: 10.1111/j.1467-8624.2011.01622.x. Epub 2011 Jul 27.

引用本文的文献

1
Children's confidence on mathematical equivalence and fraction problems.儿童对数学等价和分数问题的信心。
J Exp Child Psychol. 2024 Oct;246:106003. doi: 10.1016/j.jecp.2024.106003. Epub 2024 Jul 22.
2
Relations between patterning skill and differing aspects of early mathematics knowledge.模式化技能与早期数学知识不同方面之间的关系。
Cogn Dev. 2017 Oct;44:1-11. doi: 10.1016/j.cogdev.2017.07.003. Epub 2017 Aug 5.
3
Children's confidence using incorrect strategies on mathematical equivalence problems.儿童在数学等价问题上使用错误策略的信心。
Cogn Dev. 2022 Apr-Jun;62. doi: 10.1016/j.cogdev.2022.101167. Epub 2022 Feb 26.
4
The Relationship Between Confidence and Conformity in a Non-routine Counting Task With Young Children: Dedicated to the Memory of Purificación Rodríguez.幼儿非常规计数任务中自信心与从众行为的关系:谨以此文纪念普里菲卡ción·罗德里格斯。
Front Psychol. 2021 May 31;12:593509. doi: 10.3389/fpsyg.2021.593509. eCollection 2021.
5
Mathematical thinking in children with developmental language disorder: The roles of pattern skills and verbal working memory.发育性语言障碍儿童的数学思维:模式技能和言语工作记忆的作用。
J Commun Disord. 2019 Jan-Feb;77:17-30. doi: 10.1016/j.jcomdis.2018.11.001. Epub 2018 Nov 15.
6
Noticing relevant problem features: activating prior knowledge affects problem solving by guiding encoding.注意相关问题特征:激活先前知识通过指导编码影响问题解决。
Front Psychol. 2013 Nov 26;4:884. doi: 10.3389/fpsyg.2013.00884. eCollection 2013.
7
An eye for relations: eye-tracking indicates long-term negative effects of operational thinking on understanding of math equivalence.关注关系:眼动追踪表明,操作思维对理解数学等价关系具有长期的负面影响。
Mem Cognit. 2013 Oct;41(7):1079-95. doi: 10.3758/s13421-013-0315-8.
8
Contributions of domain-general cognitive resources and different forms of arithmetic development to pre-algebraic knowledge.领域一般性认知资源和不同形式的算术发展对代数前知识的贡献。
Dev Psychol. 2012 Sep;48(5):1315-26. doi: 10.1037/a0027475. Epub 2012 Mar 12.
9
Knowledge of mathematical equivalence in children with specific language impairment: insights from gesture and speech.特定语言障碍儿童的数学等价知识:来自手势和言语的见解。
Lang Speech Hear Serv Sch. 2011 Jan;42(1):18-30. doi: 10.1044/0161-1461(2010/09-0070). Epub 2010 Aug 2.
10
What is the shape of developmental change?发育变化的形态是什么?
Psychol Rev. 2008 Jul;115(3):527-43. doi: 10.1037/0033-295X.115.3.527.