心理发展与教育 ›› 2015, Vol. 31 ›› Issue (2): 149-156.doi: 10.16187/j.cnki.issn1001-4918.2015.02.03

• 认知与社会性发展 • 上一篇    下一篇

儿童数字线表征的发展——心理长度的影响

张帆, 赖颖慧, 陈英和   

  1. 北京师范大学发展心理研究所, 北京 100875
  • 出版日期:2015-03-15 发布日期:2015-03-15
  • 通讯作者: 陈英和,E-mail:chenyinghe@bnu.edu.cn E-mail:chenyinghe@bnu.edu.cn
  • 基金资助:
    国家自然科学基金项目(31271106);2014年度国家社科基金重大项目(14ZDB160).

Development of Children's Number Line Estimation: the Influence of Mental Distance

ZHANG Fan, LAI Yinghui, CHEN Yinghe   

  1. Institute of Developmental Psychology, Beijing Normal University, Beijing 100875, China
  • Online:2015-03-15 Published:2015-03-15

摘要: 探讨儿童在数字线估计任务中心理长度的发展及其对数量表征模式的影响.选取7~9岁儿童共109名进行数字线估计任务测试,设置了10cm和20cm两种长度条件,要求儿童完成根据位置判断数字任务(position to number,PN任务).结果表明儿童在数字线PN任务中存在心理长度,且7岁儿童心理长度的范围超过10,随着儿童年龄的增长,他们的心理长度范围不断缩小;心理长度范围影响儿童的表征模式,随着心理长度范围的缩小,儿童的数字线表征出现从指数模式到线性模式的变化趋势;与表征模式的发展趋势一致,儿童估计的精确性随年龄增长逐渐提高.

关键词: 数字线估计, 心理长度, 数量表征, 儿童

Abstract: A total of 109 7-to 9-year-old children were selected to take the number line estimation task. The aim was to test how their mental distance, numerical representations, and accuracy of estimation developed with age. The results showed the following: Mental distance did exist among 7- to 9-year-old children, and the range of mental distance might exceed 10 for 7-year-old children and gradually disappeared between 7- to 9-year-old; Influenced by mental distance, children's number line representational models changed from exponential to linear; In accordance with the change of representational models, the accuracy of estimation improved with development.

Key words: number line estimation, metal distance, numerical representation, children

中图分类号: 

  • B844
Barth, H. C., & Paladino, A. M. (2011). The development of numerical estimation: evidence against a representational shift. Developmental Science, 14(1), 125-135.
Berteletti, I., Lucangeli, D., Piazza, M., Dehaene, S., & Zorzi, M. (2010). Numerical estimation in preschoolers. Developmental Psychology, 46(2), 545-551.
Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 41(6), 189-201.
Brysbaert, M. (2005). Number recognition in different formats. In: Campbell, J.I.D., Handbook of mathematical cognition (pp. 23-42). New York, NY: Psychology Press.
Cohen, D. J., & Blanc-Goldhammer, D. (2011). Numerical bias in bounded and unbounded number line tasks. Psychonomic Bulletin & Review , 18(2), 331-338.
Dehaene, S. (1997). The number sense: How the mind creates mathematics. New York: Oxford University Press, 53-76.
Ebersbach, M., Luwel, K., Frick, A., Onghena, P., & Verschaffel, L. (2008). The relationship between the shape of the mental number line and familiarity with numbers in 5-to 9-year old children: Evidence for a segmented linear model. Journal of Experimental Child Psychology, 99(1), 1-17.
Link, T., Huber, S., Nuerk, H., & Moeller, K. (2014). Unbounding the mental number line-new evidence on children's spatial representation of numbers. Frontiers in Psychology, 4, 1-12.
Moeller, K., Pixner, S., Kaufmann, L., & Nuerk, H. (2009). Children's early mental number line: Logarithmic or decomposed linear? Journal of Experimental Child Psychology, 103(4), 503-515.
Opfer, J. E., & Siegler, R. S. (2007). Representational change and children's numerical estimation. Cognitive Psychology, 55(3), 169-195.
Opfer, J. E., Siegler, R. S., & Young, C. J. (2011). The powers of noise-fitting: reply to Barth and Paladino. Developmental Science, 14(5), 1194-1204.
Schneider, M., Heine, A., Thaler, V., Torbeyns, J., De Smedt, B., & Verschaffel, L., et al. (2008). A validation of eye movements as a measure of elementary school children's developing number sense. Cognitive Development, 23(3), 409-422.
Siegler, R. S., & Booth, J. L. (2004). Development of numerical estimation in young children. Child Development, 75(2), 428-444.
Siegler, R. S., & Mu, Y. (2008). Chinese children excel on novel mathematics problems even before elementary school. Psychological Science, 19(8), 759-763.
Siegler, R. S., & Opfer, J. E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14(3), 237-250.
Slusser, E. B., Santiago, R. T., & Barth, H. C. (2013). Developmental change in numerical estimation. Journal of Experimental Psychology-General, 142(1), 193-208.
van Viersen, S., Slot, E. M., Kroesbergen, E. H., Van'T Noordende, J. E., & Leseman, P. P. M. (2013). The added value of eye-tracking in diagnosing dyscalculia: a case study. Frontiers in Psychology, 4(679), 1-13.
Xu, X., Chen, C., Pan, M., & Li, N. (2013). Development of numerical estimation in Chinese preschool children. Journal of Experimental Child Psychology, 116(2), 351-366.
韩瑽瑽, 张静, 黄大庆, 陈英和. (2010). 2-4年级数学困难与普通儿童数量估计能力的比较. 中国特殊教育, (4), 47-51.
卢淳, 郭红力, 司继伟, 孙燕. (2014). 不同数字线下儿童与成人分数估计的表征模式. 心理发展与教育, 30(5), 449-456.
莫雷, 周广东, 温红博. (2010). 儿童数字估计的心理长度. 心理学报, 42(5), 569-580.
潘茂明. (2011). 6~7岁儿童数字估计能力发展的追踪研究. 首都师范大学硕士学位论文.
周广东, 莫雷, 温红博. (2009). 儿童数字估计的表征模式与发展. 心理发展与教育, 25(4), 21-29.
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