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儿童和成人在纸笔数字线估计中的左数字偏差。

Left digit bias in children's and adults' paper-and-pencil number line estimation.

作者信息

Barth Hilary, Rutkowski Bethany, Vaidya Leah, Kim Erin, Bourassa Cameron, Fabian Annie, Eisen Sierra, Zax Alexandra, Williams Katherine, Patalano Andrea L

机构信息

Department of Psychology, Wesleyan University, 207 High Street, Middletown, CT, 06459, USA.

出版信息

Mem Cognit. 2025 Apr 9. doi: 10.3758/s13421-025-01707-y.


DOI:10.3758/s13421-025-01707-y
PMID:40208516
Abstract

Number line estimation tasks are frequently used to learn about numerical thinking, learning, and development. These tasks are often interpreted as though estimates are determined by overall magnitudes of target numerals, rather than specific instantiating digits. Yet estimates are strongly biased by leftmost digits. For example, numbers like "698" are placed too far to the left of numbers like "701" on a 0-1,000 line. This "left digit effect" or "left digit bias" has been investigated little in children, and only on electronic tasks. Here, we ask whether left digit bias appears in paper-and-pencil estimates, and whether it differs for paper-based versus computer-based tasks. In Study 1, 5- to 8-year-old children completed a 0-100 number line task on paper. In Study 2, 7- to 11-year-olds completed a 0-1,000 paper task. In Study 3, adults completed tasks on paper in both ranges. Large left digit effects were observed for children aged 8 years or older and adults, but we did not find evidence for left digit bias in younger children. Study 4 compared paper and computer tasks for adults and children aged 9-12 years. Strong left digit bias was observed in all conditions, with a larger effect for the paper-based task in children. Large left digit effects in number line estimation emerge regardless of task format, with a developmental trajectory broadly consistent with other studies. For children in the age range that reliably exhibits left digit bias (but not adults), paper-and-pencil number line estimation tasks elicit even greater bias than computer-based tasks.

摘要

数轴估计任务经常被用于研究数字思维、学习和发展。这些任务通常被解释为估计值是由目标数字的整体大小决定的,而不是由具体的实例数字决定的。然而,估计值受到最左边数字的强烈影响。例如,在0到1000的数轴上,像“698”这样的数字被放置在比“701”这样的数字更靠左的位置。这种“左数字效应”或“左数字偏差”在儿童中很少被研究,而且只在电子任务中进行过研究。在这里,我们要问左数字偏差是否出现在纸笔估计中,以及它在纸质任务和基于计算机的任务中是否有所不同。在研究1中,5至8岁的儿童在纸上完成了0到100的数轴任务。在研究2中,7至11岁的儿童完成了0到1000的纸质任务。在研究3中,成年人在两个范围内都完成了纸质任务。在8岁及以上的儿童和成年人中观察到了较大的左数字效应,但我们没有发现年幼儿童存在左数字偏差的证据。研究4比较了9至12岁的成年人及儿童的纸质任务和计算机任务。在所有条件下都观察到了强烈的左数字偏差,儿童在纸质任务中的效应更大。无论任务形式如何,数轴估计中都会出现较大的左数字效应,其发展轨迹与其他研究大致一致。对于可靠地表现出左数字偏差的年龄范围内的儿童(但不是成年人),纸笔数轴估计任务比基于计算机的任务引发的偏差更大。

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本文引用的文献

[1]
Modeling the left digit effect in adult number line estimation.

Cognition. 2023-1

[2]
Parallel and serial processes in number-to-quantity conversion.

Cognition. 2020-11

[3]
Behavioral Heuristics in Coronary-Artery Bypass Graft Surgery.

N Engl J Med. 2020-2-20

[4]
Number line unidimensionality is a critical feature for promoting fraction magnitude concepts.

J Exp Child Psychol. 2019-7-30

[5]
Spontaneous partitioning and proportion estimation in children's numerical judgments.

J Exp Child Psychol. 2019-5-17

[6]
Benchmark-based strategy use in atypical number lines.

Can J Exp Psychol. 2018-12

[7]
Associations of Number Line Estimation With Mathematical Competence: A Meta-analysis.

Child Dev. 2018-4-10

[8]
Transfer of Problem Solving Skills from Touchscreen to 3D Model by 3- to 6-Year-Olds.

Front Psychol. 2017-9-20

[9]
Equivalence Tests: A Practical Primer for Tests, Correlations, and Meta-Analyses.

Soc Psychol Personal Sci. 2017-5

[10]
Evaluating the Effect of Labeled Benchmarks on Children's Number Line Estimation Performance and Strategy Use.

Front Psychol. 2017-6-30

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