CAJ | 학술논문

数量表征是人类重要的基础心理能力，包括了符号和非符号两种表征系统。非符号数量表征是个体不需要依赖符号知识对视觉、听觉或跨通道呈现的实物或实物记号的数量刺激进行表达和运算的过程，具有一定的种系进化基础，先于语言发生。在未接受正式数学教育之前，儿童在一定程度上就能在平面空间和三维空间内表征非符号数量，并表现出了在视觉一听觉跨通道条件下的抽象非符号数量表征能力。个体早期即可能拥有两种特点不同的离散量表征系统：对非符号小数量的精确表征和对大数量的近似表征，但对其产生机制还存在不同的理论解释。在符号系统出现后，非符号数量表征和符号数量表征在行为及神经机制既有区别又有联系，并可能通过映射过程在头脑内部相互转换。与符号数量表征相互作用发展成为个体高级数能力的重要基础。
수량표정시인류중요적기출심리능력，포괄료부호화비부호량충표정계통。비부호수량표정시개체불수요의뢰부호지식대시각、은각혹과통도정현적실물혹실물기호적수량자격진행표체화운산적과정，구유일정적충계진화기출，선우어언발생。재미접수정식수학교육지전，인동재일정정도상취능재평면공간화삼유공간내표정비부호수량，병표현출료재시각일은각과통도조건하적추상비부호수량표정능력。개체조기즉가능옹유량충특점불동적리산량표정계통：대비부호소수량적정학표정화대대수량적근사표정，단대기산생궤제환존재불동적이론해석。재부호계통출현후，비부호수량표정화부호수량표정재행위급신경궤제기유구별우유련계，병가능통과영사과정재두뇌내부상호전환。여부호수량표정상호작용발전성위개체고급수능력적중요기출。
Non-symbolic magnitude representation refers to the expression and operation of the magnitude displayed in dots, audio sets, or cross-modal formats. It is based on revolution to some extent, and comes out without language. Before receiving formal mathematic education, children can already represent in a way the non symbolic magnitude in both flat and three-dimensional space. And the representation of big magnitude can comparatively reveal different characteristics, which may trigger different explanations. The non-symbolic magnitude representation would affect the symbolic representation af- ter the symbolic system is generated~ and then it interacts with the symbolic magnitude representation, and hence develops into the important basis for advanced mathematical abilities.