Understanding of base-10 concept and its application: a cross-cultural comparison between Japan and Singapore

Understanding of base-10 concept and its application: a cross-cultural comparison between Japan and Singapore
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对十进制概念的理解及其应用:日本与新加坡的跨文化比较

DOI:
10.1080/09669760.2020.1848525
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发表时间:
2020
影响因子:
1.9
通讯作者:
& Mizuno,K.
& Mizuno,K.
中科院分区:
--
文献类型:
--
作者:
Ong,M.Y.L.;Ho,K.L.C.;Kawata,M.;Takahashi,M.;& Mizuno,K.

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越来越清楚的是,早期使用分解加法与后来的数学成就有关。本研究探讨了幼儿如何执行基数10分解策略来解决复杂的算术(例如两位数加法)。24个加法问题,在两种模式(WA:书面算术,OA:口算)的总和小于100管理的22名日本和22名新加坡6岁的儿童。我们的研究结果表明,他们能够解决复杂的加法。例如,日本的数学家倾向于在整个模态中使用基数10分解来解决复杂的算术,而新加坡的数学家则分别使用标准算法和基本计数来解决复杂的WA和OA问题。我们推测,日本人可能有一个更清晰的理解基地10的概念,并能够更容易地使用这些知识比新加坡人。幼儿园的数学经验和数字命名系统被认为是造成这种跨文化差异的两个关键因素。本研究也为未来幼儿对基数10概念的理解及其应用的研究提供了新的方向。
It has become increasingly clear that the early use of decomposition for addition is associated with later mathematical achievement. This study examined how younger children execute a base-10 decomposition strategy to solve complex arithmetic (e.g. two-digit addition). 24 addition problems in two modalities (WA: Written Arithmetic; OA: Oral Arithmetic) with sums less than 100 were administered to 22 Japanese and 22 Singaporean 6-year-old kindergarteners. Our findings reveal that they were able to solve complex addition. For instance, Japanese kindergarteners tended to solve complex arithmetic using base-10 decomposition across the modality, whereas Singaporean kindergarteners used standard algorithms and basic counting to solve complex WA and OA problems, respectively. We speculate that Japanese kindergarteners might have a clearer understanding of the base-10 concept and were able to use this knowledge more readily than Singaporean kindergarteners. Mathematical experiences in kindergarten and number-naming systems have been put forward as two of the crucial contributors for such cross-cultural differences. This study also provides new directions for future research on the understanding of the base-10 concept and its application among young children.
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