The use of fingers in addition: A longitudinal study in children from preschool to kindergarten

IF 1.8 3区 心理学 Q3 PSYCHOLOGY, DEVELOPMENTAL Cognitive Development Pub Date : 2024-02-13 DOI:10.1016/j.cogdev.2024.101431
Marie Krenger, Catherine Thevenot
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Abstract

Previous research has established that finger counting in arithmetic positively correlates with accuracy in 5 ½ to 8-year-old children. Whether this relation also exists in younger children was unknown until the present study in which 172 children aged 4 ½ years (M = 56 months) were followed over one year across 3 sessions spaced 6 months apart. Initially, we observed 31 children who calculated on their fingers to solve addition problems, they were 43 at session 2 and 66 at session 3. Even though a minority of children used their fingers at each session, establishing their developmental pathways in the use of finger counting revealed that more than a half of them had used their fingers at least in one of the three sessions (87 children out of 172). Using this strategy proved highly advantageous because, at each session, finger users were more accurate than non-finger users, which reproduces the observations made in older children. Moreover, when children did not use their fingers, they were always more accurate if they had used their fingers in a previous session than if they had not. Children were also more likely to present accuracy improvement between two sessions when finger counting was observed for the first time or was repeatedly observed across sessions than when it had never been observed or was not observed in the prior session. Finally, children who never used their fingers across the three sessions corresponded to children with the lowest performance in addition and the lowest intellectual capacities. These results show that finger counting not only improves addition performance but also maximizes young children’s chances to develop good addition skills.

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手指在加法中的应用:儿童从学前班到幼儿园的纵向研究
以往的研究表明,在 5 ½ 至 8 岁的儿童中,算术中的手指计数与准确性呈正相关。在本研究中,我们对 172 名 4 岁半的儿童(中=56 个月)进行了为期一年的跟踪调查,共进行了 3 次调查,每次间隔 6 个月。最初,我们观察到有 31 名儿童用手指计算来解决加法问题,其中第 2 次为 43 名,第 3 次为 66 名。尽管每次都有少数儿童使用手指计算,但在确定他们使用手指计算的发展路径时,我们发现半数以上的儿童(172 名儿童中的 87 名)至少在三个阶段中的一个阶段使用过手指计算。事实证明,使用这种策略非常有利,因为在每次训练中,使用手指的儿童都比不使用手指的儿童更准确,这再现了在年龄较大的儿童身上观察到的情况。此外,当儿童不使用手指时,如果他们在之前的训练中使用过手指,那么他们的准确率总是高于未使用手指的儿童。此外,与从未使用过手指或在上一次训练中没有使用过手指的儿童相比,在第一次观察到手指计数或在各次训练中反复观察到手指计数时,儿童在两次训练之间的准确率更有可能得到提高。最后,在三次训练中从未使用过手指的儿童,其加法成绩和智力水平都是最低的。这些结果表明,数手指不仅能提高加法成绩,还能最大限度地增加幼儿发展良好加法技能的机会。
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来源期刊
CiteScore
3.20
自引率
5.60%
发文量
114
期刊介绍: Cognitive Development contains the very best empirical and theoretical work on the development of perception, memory, language, concepts, thinking, problem solving, metacognition, and social cognition. Criteria for acceptance of articles will be: significance of the work to issues of current interest, substance of the argument, and clarity of expression. For purposes of publication in Cognitive Development, moral and social development will be considered part of cognitive development when they are related to the development of knowledge or thought processes.
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