Department of Psychological and Brain Sciences, Johns Hopkins University, MD 21218, USA.
Dev Sci. 2011 Nov;14(6):1292-300. doi: 10.1111/j.1467-7687.2011.01080.x. Epub 2011 Aug 2.
Previous research shows a correlation between individual differences in people's school math abilities and the accuracy with which they rapidly and nonverbally approximate how many items are in a scene. This finding is surprising because the Approximate Number System (ANS) underlying numerical estimation is shared with infants and with non-human animals who never acquire formal mathematics. However, it remains unclear whether the link between individual differences in math ability and the ANS depends on formal mathematics instruction. Earlier studies demonstrating this link tested participants only after they had received many years of mathematics education, or assessed participants' ANS acuity using tasks that required additional symbolic or arithmetic processing similar to that required in standardized math tests. To ask whether the ANS and math ability are linked early in life, we measured the ANS acuity of 200 3- to 5-year-old children using a task that did not also require symbol use or arithmetic calculation. We also measured children's math ability and vocabulary size prior to the onset of formal math instruction. We found that children's ANS acuity correlated with their math ability, even when age and verbal skills were controlled for. These findings provide evidence for a relationship between the primitive sense of number and math ability starting early in life.
先前的研究表明,个体在学校数学能力方面的差异与他们快速、非言语地估计场景中物品数量的准确性之间存在相关性。这一发现令人惊讶,因为数字估计所基于的近似数量系统(ANS)与婴儿和从未接受过正式数学教育的非人类动物共享。然而,目前尚不清楚数学能力个体差异与 ANS 之间的联系是否取决于正式的数学教学。先前证明这种联系的研究仅在参与者接受多年数学教育之后才对其进行测试,或者使用需要额外的符号或算术处理的任务来评估参与者的 ANS 敏锐度,这些任务与标准化数学测试中所需的处理类似。为了探究在生命早期 ANS 和数学能力是否存在联系,我们使用一项不需要符号使用或算术计算的任务来测量 200 名 3 至 5 岁儿童的 ANS 敏锐度。我们还在正式的数学教学开始之前测量了儿童的数学能力和词汇量。我们发现,即使控制了年龄和语言技能,儿童的 ANS 敏锐度与他们的数学能力也存在相关性。这些发现为从生命早期开始,原始的数字感与数学能力之间存在关系提供了证据。