Four- to six-year-olds’ ratio reasoning-from 2D to 3D quantities

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Yingying Yang, Wei He
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引用次数: 1

Abstract

Abstract Recent research has suggested that young children may have primitive knowledge of ratio and proportions. However, it is unclear how precisely young children represent ratio magnitudes and how well they apply their ratio knowledge across different contexts. The current study examined 4- to 6-year-olds’ reasoning of ratio magnitudes. In the baseline task, children judged ratio relations between 2 D lengths. In the 3 D depth task, children judged ratio relations of two pictorial depths. In the 3 D cube task, children judged ratio relations of the volumes of two pictorially presented cubes. Linear regression models of estimated ratios on expected ratios were significant across all three tasks for all children groups. Children demonstrated a remarkable ability in understanding and expressing ratio magnitudes. However, relative to the baseline condition, the 3 D depth and cube tasks were associated with smaller explained variance and, hence, more noise. Children, particularly 4-year-olds, were unable to distinguish ratios of slightly different magnitudes in the 3 D cube task. Our study reveals both the potential and the limits of young children’s ratio reasoning abilities.
4 - 6岁儿童的比例推理——从2D到3D的数量
最近的研究表明,幼儿可能具有原始的比率和比例知识。然而,目前尚不清楚幼儿如何准确地表示比率大小,以及他们如何在不同的环境中应用比率知识。目前的研究考察了4到6岁儿童对比例大小的推理能力。在基线任务中,孩子们判断二维长度之间的比例关系。在三维深度任务中,儿童判断两个图形深度的比例关系。在三维立方体任务中,儿童判断两个图形呈现的立方体体积的比例关系。估计比率对期望比率的线性回归模型在所有儿童组的所有三个任务中都是显著的。孩子们在理解和表达比例方面表现出了显著的能力。然而,相对于基线条件,3d深度和立方体任务与较小的解释方差相关,因此,更多的噪声。在3d立方体任务中,孩子们,尤其是4岁的孩子,无法区分大小稍有不同的比例。我们的研究揭示了幼儿比例推理能力的潜力和局限性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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