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儿童对小数基数和零的理解的差异发展

Differential Development of Children's Understanding of the Cardinality of Small Numbers and Zero.

作者信息

Pixner Silvia, Dresen Verena, Moeller Korbinian

机构信息

Institute of Psychology, UMIT - Private University for Health Sciences, Medical Informatics and Technology, Hall in Tirol, Austria.

Leibniz-Institut für Wissensmedien, Tübingen, Germany.

出版信息

Front Psychol. 2018 Sep 25;9:1636. doi: 10.3389/fpsyg.2018.01636. eCollection 2018.

Abstract

Counting and the understanding of cardinality are important steps in children's numerical development. Recent studies have indicated that language and visuospatial abilities play an important role in the development of children's cardinal knowledge of small numbers. However, predictors for the knowledge about were usually not considered in these studies. Therefore, the present study investigated whether the acquisition of cardinality knowledge on small numbers and the concept of share cross-domain and domain-specific numerical predictors. Particular interest was paid to the question whether visuospatial abilities - in addition to language abilities - were associated with children's understanding of small numbers and . Accordingly, we assessed kindergarteners aged 4 to 5 years in terms of their understanding of small numbers and as well as their visuospatial, general language, counting, Arabic number identification abilities, and their finger number knowledge. We observed significant zero-order correlations of vocabulary, number identification, finger knowledge, and counting abilities with children's knowledge about as well as understanding of the cardinality of small numbers. Subsequent regression analyses substantiated the influences of counting abilities on knowledge about and the influences of both counting abilities and finger knowledge on children's understanding of the cardinality of small numbers. No significant influences of cross-domain predictors were observed. In sum, these results indicate that domain-specific numerical precursor skills seem to be more important for children's development of an understanding of the cardinality of small numbers as well as of the concept of than the more proximal cross-domain abilities such as language and visuospatial abilities.

摘要

数数以及对基数的理解是儿童数字发展中的重要步骤。最近的研究表明,语言和视觉空间能力在儿童对小数的基数知识发展中起着重要作用。然而,这些研究通常没有考虑对[此处原文缺失具体内容]知识的预测因素。因此,本研究调查了小数基数知识的习得与[此处原文缺失具体内容]概念是否共享跨领域和特定领域的数字预测因素。特别关注的问题是,除了语言能力之外,视觉空间能力是否与儿童对小数和[此处原文缺失具体内容]的理解相关。相应地,我们评估了4至5岁的幼儿园儿童对小数和[此处原文缺失具体内容]的理解,以及他们的视觉空间、一般语言、数数、阿拉伯数字识别能力和手指数字知识。我们观察到词汇、数字识别、手指知识和数数能力与儿童对[此处原文缺失具体内容]的知识以及对小数基数的理解之间存在显著的零阶相关性。随后的回归分析证实了数数能力对[此处原文缺失具体内容]知识的影响,以及数数能力和手指知识对儿童对小数基数理解的影响。未观察到跨领域预测因素的显著影响。总之,这些结果表明,特定领域的数字前体技能似乎比语言和视觉空间能力等更接近的跨领域能力对儿童理解小数基数以及[此处原文缺失具体内容]概念的发展更为重要。

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本文引用的文献

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Representing Something Out of Nothing: The Dawning of Zero.无中生有:零的曙光。
Trends Cogn Sci. 2016 Nov;20(11):830-842. doi: 10.1016/j.tics.2016.08.008. Epub 2016 Sep 22.
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Thinking about quantity: the intertwined development of spatial and numerical cognition.思考数量:空间与数字认知的交织发展
Wiley Interdiscip Rev Cogn Sci. 2015 Nov-Dec;6(6):491-505. doi: 10.1002/wcs.1369. Epub 2015 Sep 29.
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Gesture as a window onto children's number knowledge.手势:洞察儿童数字知识的窗口
Cognition. 2015 Nov;144:14-28. doi: 10.1016/j.cognition.2015.07.008. Epub 2015 Jul 23.
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Development of Spatial-Numerical Associations.空间-数字关联的发展
Curr Dir Psychol Sci. 2014 Dec;23(6):439-445. doi: 10.1177/0963721414549751.
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Considering digits in a current model of numerical development.在当前数字发展模型中考虑数字。
Front Hum Neurosci. 2015 Jan 13;8:1062. doi: 10.3389/fnhum.2014.01062. eCollection 2014.
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Charting the role of the number line in mathematical development.描绘数线在数学发展中的作用。
Front Psychol. 2013 Sep 18;4:641. doi: 10.3389/fpsyg.2013.00641. eCollection 2013.
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Nothing to it: precursors to a zero concept in preschoolers.小菜一碟:学前儿童零概念的前身。
Behav Processes. 2013 Feb;93:91-7. doi: 10.1016/j.beproc.2012.11.001. Epub 2012 Dec 5.

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