Effects of finger counting on numerical development - the opposing views of neurocognition and mathematics education.

Effects of finger counting on numerical development - the opposing views of neurocognition and mathematics education.
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DOI:
10.3389/fpsyg.2011.00328
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发表时间:
2011
影响因子:
3.8
通讯作者:
Nuerk HC
Nuerk HC
中科院分区:
心理学3区
文献类型:
--
作者:
Moeller K;Martignon L;Wessolowski S;Engel J;Nuerk HC

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儿童通常使用基于手指的表示来学习基本的数字和算术原理。然而,依赖手指表征是有益的还是有害的,是神经认知和数学教育研究人员之间正在进行的辩论的主题。从神经认知的角度来看,手指计数提供了多感官输入,它传达了数字的基数和序数方面。最近的数据表明,具有良好的基于手指的数字表示的儿童显示出更好的算术技能,并且训练手指直觉或“手指感觉”可以提高数学技能。因此,神经认知研究人员得出结论,精心设计的基于手指的数字表征对以后的数字发展有益。然而,数学教育研究建议培养基于心理的数字表征,以引导儿童放弃手指计数。更确切地说,数学教育建议首先使用手指计数,然后是具体的结构化表征,最后是数字的心理表征来执行数字运算。总之,这些结果揭示了神经认知和数学教育研究之间的一个重要的争论,关于数字发展的手指为基础的策略的好处和好处。在本综述中,将讨论这两种证据的基本原理。
Children typically learn basic numerical and arithmetic principles using finger-based representations. However, whether or not reliance on finger-based representations is beneficial or detrimental is the subject of an ongoing debate between researchers in neurocognition and mathematics education. From the neurocognitive perspective, finger counting provides multisensory input, which conveys both cardinal and ordinal aspects of numbers. Recent data indicate that children with good finger-based numerical representations show better arithmetic skills and that training finger gnosis, or “finger sense,” enhances mathematical skills. Therefore neurocognitive researchers conclude that elaborate finger-based numerical representations are beneficial for later numerical development. However, research in mathematics education recommends fostering mentally based numerical representations so as to induce children to abandon finger counting. More precisely, mathematics education recommends first using finger counting, then concrete structured representations and, finally, mental representations of numbers to perform numerical operations. Taken together, these results reveal an important debate between neurocognitive and mathematics education research concerning the benefits and detriments of finger-based strategies for numerical development. In the present review, the rationale of both lines of evidence will be discussed.
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