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首页> 外文期刊>The quarterly journal of experimental psychology: QJEP >The fractions SNARC revisited: Processing fractions on a consistent mental number line
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The fractions SNARC revisited: Processing fractions on a consistent mental number line

机译：分数SNARC重新判断：在一致的精神号码线上处理分数

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The ability to understand fractions is key to establishing a solid foundation in mathematics, yet children and adults struggle to comprehend them. Previous studies have suggested that these struggles emerge because people fail to process fraction magnitude holistically on the mental number line (MNL), focusing instead on fraction components. Subsequent studies have produced evidence for default holistic processing but examined only magnitude processing, not spatial representations. We explored the spatial representations of fractions on the MNL in a series of three experiments. Experiment 1 replicated Bonato et al.; 30 naive undergraduates compared unit fractions (1/1-1/9) to 1/5, resulting in a reverse SNARC (Spatial-Numerical Association of Response Codes) effect. Experiment 2 countered potential strategic biases induced by the limited set of fractions used by Bonato et al. by expanding the stimulus set to include all irreducible, single-digit proper fractions and asked participants to compare them against 1/2. We observed a classic SNARC effect, completely reversing the pattern from Experiment 1. Together, Experiments 1 and 2 demonstrate that stimulus properties dramatically impact spatial representations of fractions. In Experiment 3, we demonstrated within-subjects reliability of the SNARC effect across both a fractions and whole number comparison task. Our results suggest that adults can indeed process fraction magnitudes holistically, and that their spatial representations occur on a consistent MNL for both whole numbers and fractions.
机译：理解分数的能力是在数学中建立坚实的基础的关键，但儿童和成年人都在努力理解它们。以前的研究表明，这些斗争出现，因为人们未能在精神号码线（MNL）上能够整体处理分数幅度，而是聚焦在分数上。随后的研究已经产生了默认整体处理的证据，但仅检查了幅度处理，而不是空间表示。我们在一系列三个实验中探讨了MNL上的分数的空间表示。实验1复制Bonato等人; 30天真的本科生比较单位分数（1 / 1-1 / 9）至1/5，导致反向SNARC（响应代码的空间 - 数值关联）效应。 Bonato等人使用的有限组分诱导的反对潜在的战略偏见。通过扩展刺激集合，包括所有不可可动化，单位正确的分数，并要求参与者将它们与1/2进行比较。我们观察了经典的SnARC效应，完全逆转实验1.在实验1.一起，实验1和2表明刺激特性显着影响级分的空间表示。在实验3中，我们在分数和整个数字比较任务中展示了SNARC效应的受试者可靠性。我们的结果表明，成年人可以全面地处理分数幅度，并且它们的空间表示发生在一致的MNL上，用于整个数字和分数。

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