Department of Psychology and Human Development, UCL Institute of Education, 20 Bedford Way, Bloomsbury, London, UK.
Department of Psychology and Human Development, UCL Institute of Education, 20 Bedford Way, Bloomsbury, London, UK.
Res Dev Disabil. 2020 Nov;106:103746. doi: 10.1016/j.ridd.2020.103746. Epub 2020 Aug 20.
Mathematical difficulties in individuals with Williams Syndrome (WS) and in individuals with Down Syndrome (DS) are well-established. Perceptual subitizing and conceptual subitizing are domain-specific precursors of mathematical achievement in typically developing (TD) population. This study employed, for the first time, eye-tracking methodology to investigate subitizing abilities in WS and DS.
Twenty-five participants with WS and 24 participants with DS were compared to a younger group of TD children (n = 25) matched for mental age. Participants were asked to enumerate one to six dots arranged either in a dice or a random pattern.
Accuracy rates and analyses of reaction time showed no significant differences between the clinical groups (WS and DS) and the control group, suggesting that all participants used the same processes to perform the enumeration task in the different experimental conditions. Analyses of the eye movements showed that both individuals with WS and individuals with DS were using inefficient scanning strategies when counting. Moreover, analyses of the eye movements showed significantly shorter fixation duration in participants with DS compared to the control group in all the experimental conditions.
The current study provides evidence that individuals with WS and individuals with DS perform both perceptual subitizing and conceptual subitizing. Moreover, our results suggest a fixation instability in DS group that does not affect their performance when subitizing but might explain their low accuracy rates when counting. Findings are discussed in relation to previous studies and the impact for intervention programmes to improve counting and symbolic mathematical abilities in these populations.
个体患有威廉姆斯综合征(WS)和唐氏综合征(DS)时会出现数学困难,这已得到充分证实。在典型发育(TD)人群中,知觉数感和概念数感是数学成就的特定领域的前兆。本研究首次采用眼动追踪方法研究 WS 和 DS 中的数感能力。
将 25 名 WS 患者和 24 名 DS 患者与年龄匹配的年轻 TD 儿童组(n = 25)进行比较。要求参与者数出排列在骰子或随机模式中的 1 到 6 个点。
准确性和反应时间分析表明,临床组(WS 和 DS)与对照组之间没有显著差异,这表明所有参与者在不同的实验条件下都使用相同的过程来执行计数任务。眼动分析表明,WS 和 DS 患者在计数时都使用了低效的扫描策略。此外,眼动分析表明,在所有实验条件下,DS 组的注视持续时间明显短于对照组。
本研究提供了证据表明 WS 和 DS 患者都进行了知觉数感和概念数感。此外,我们的结果表明 DS 组存在注视不稳定,但这不会影响他们在数感时的表现,但可能解释了他们在计数时的低准确率。研究结果与以往研究相关,并对改善这些人群的计数和符号数学能力的干预计划产生影响。