Links Between the Intuitive Sense of Number and Formal Mathematics Ability.

Links Between the Intuitive Sense of Number and Formal Mathematics Ability.
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DOI:
10.1111/cdep.12019
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发表时间:
2013-06-01
影响因子:
6.4
通讯作者:
Halberda J
Halberda J
中科院分区:
心理学1区
文献类型:
--
作者:
Feigenson L;Libertus ME;Halberda J

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人类和其他动物一样,都有一个以不精确和直觉的方式思考数字的系统。作为这种思维基础的近似数字系统(ANS)在整个生命周期中都存在,完全是非语言的,并支持基本的数值计算,如比较,添加和减去数量。与其他动物不同的是,人类也有一个表示精确数字的系统。这个以语言为媒介的系统在多年的过程中慢慢被掌握,并为我们大部分正式的数学思想提供了基础。越来越多的证据表明,非语言的ANS和文化发明的精确数字系统从根本上联系在一起。在这篇文章中,我们回顾了这种关系的证据,描述了ANS中的群体和个体差异如何与正式的数学能力相关,甚至预测。通过这种方式,我们说明了一个古老的核心知识体系如何可以作为更复杂的数学思想的基础。
Humans share with other animals a system for thinking about numbers in an imprecise and intuitive way. The Approximate Number System (ANS) that underlies this thinking is present throughout the lifespan, is entirely nonverbal, and supports basic numerical computations like comparing, adding, and subtracting quantities. Humans, unlike other animals, also have a system for representing exact numbers. This linguistically mediated system is slowly mastered over the course of many years and provides the basis for most of our formal mathematical thought. A growing body of evidence suggests that the nonverbal ANS and the culturally invented system of exact numbers are fundamentally linked. In this article, we review evidence for this relationship, describing how group and individual differences in the ANS correlate with and even predict formal math ability. In this way, we illustrate how a system of ancient core knowledge may serve as a foundation for more complex mathematical thought.
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