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本文引用的文献

1
From classroom environment to mathematics achievement: The mediating role of self-perceived ability and subject interest.从课堂环境到数学成绩:自我认知能力和学科兴趣的中介作用。
Learn Individ Differ. 2016 Aug;50:260-269. doi: 10.1016/j.lindif.2016.07.009.
2
Changing the precision of preschoolers' approximate number system representations changes their symbolic math performance.改变学龄前儿童近似数字系统表征的精度会改变他们的符号数学表现。
J Exp Child Psychol. 2016 Jul;147:82-99. doi: 10.1016/j.jecp.2016.03.002. Epub 2016 Apr 8.
3
Spatial Ability Explains the Male Advantage in Approximate Arithmetic.空间能力解释了男性在近似算术方面的优势。
Front Psychol. 2016 Mar 7;7:306. doi: 10.3389/fpsyg.2016.00306. eCollection 2016.
4
The Chicken or the Egg? The Direction of the Relationship Between Mathematics Anxiety and Mathematics Performance.先有鸡还是先有蛋?数学焦虑与数学成绩之间关系的方向
Front Psychol. 2016 Jan 7;6:1987. doi: 10.3389/fpsyg.2015.01987. eCollection 2015.
5
Associations of non-symbolic and symbolic numerical magnitude processing with mathematical competence: a meta-analysis.非符号与符号数字大小加工与数学能力的关联:一项元分析
Dev Sci. 2017 May;20(3). doi: 10.1111/desc.12372. Epub 2016 Jan 14.
6
Dot comparison stimuli are not all alike: the effect of different visual controls on ANS measurement.点比较刺激并非完全相同:不同视觉控制对自主神经系统测量的影响。
Acta Psychol (Amst). 2015 Oct;161:177-84. doi: 10.1016/j.actpsy.2015.09.007. Epub 2015 Sep 25.
7
An integration of competing accounts on children's number line estimation.关于儿童数字线估计的相互竞争观点的整合。
Front Psychol. 2015 Jul 1;6:884. doi: 10.3389/fpsyg.2015.00884. eCollection 2015.
8
Inhibitory control may not explain the link between approximation and math abilities in kindergarteners from middle class families.抑制控制可能无法解释来自中产阶级家庭的幼儿园儿童的近似能力与数学能力之间的联系。
Front Psychol. 2015 May 22;6:685. doi: 10.3389/fpsyg.2015.00685. eCollection 2015.
9
Relations of different types of numerical magnitude representations to each other and to mathematics achievement.不同类型的数字量级表征之间的关系以及它们与数学成绩的关系。
J Exp Child Psychol. 2014 Jul;123:53-72. doi: 10.1016/j.jecp.2014.01.013. Epub 2014 Mar 31.
10
Who is afraid of math? Two sources of genetic variance for mathematical anxiety.谁害怕数学?数学焦虑的两个遗传变异来源。
J Child Psychol Psychiatry. 2014 Sep;55(9):1056-64. doi: 10.1111/jcpp.12224. Epub 2014 Mar 10.

数感与数学:何时、何地以及如何教授?

Number sense and mathematics: Which, when and how?

机构信息

Department of Psychology, Tomsk State University.

Department of Psychology, The Ohio State University.

出版信息

Dev Psychol. 2017 Oct;53(10):1924-1939. doi: 10.1037/dev0000331. Epub 2017 Jul 31.

DOI:10.1037/dev0000331
PMID:28758784
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5611774/
Abstract

Individual differences in number sense correlate with mathematical ability and performance, although the presence and strength of this relationship differs across studies. Inconsistencies in the literature may stem from heterogeneity of number sense and mathematical ability constructs. Sample characteristics may also play a role as changes in the relationship between number sense and mathematics may differ across development and cultural contexts. In this study, 4,984 16-year-old students were assessed on estimation ability, one aspect of number sense. Estimation was measured using 2 different tasks: number line and dot-comparison. Using cognitive and achievement data previously collected from these students at ages 7, 9, 10, 12, and 14, the study explored for which of the measures and when in development these links are observed, and how strong these links are and how much these links are moderated by other cognitive abilities. The 2 number sense measures correlated modestly with each other (r = .22), but moderately with mathematics at age 16. Both measures were also associated with earlier mathematics; but this association was uneven across development and was moderated by other cognitive abilities. (PsycINFO Database Record

摘要

个体在数字感方面的差异与数学能力和表现相关,尽管这种关系在不同的研究中存在且强度不同。文献中的不一致可能源于数字感和数学能力结构的异质性。样本特征也可能起作用,因为数字感和数学之间的关系变化可能因发展和文化背景而异。在这项研究中,对 4984 名 16 岁的学生进行了估计能力(数字感的一个方面)的评估。使用 2 种不同的任务来衡量估计能力:数字线和点比较。利用之前从这些学生在 7 岁、9 岁、10 岁、12 岁和 14 岁时收集的认知和成就数据,研究探讨了这些关联在哪些测量中以及在发展的哪个阶段观察到,以及这些关联的强度以及这些关联在多大程度上受到其他认知能力的调节。这两种数字感测量彼此之间中度相关(r =.22),但与 16 岁时的数学中度相关。这两种测量都与早期的数学有关;但这种关联在发展过程中并不均衡,并且受到其他认知能力的调节。