Young children interpret number gestures differently than nonsymbolic sets

Researchers have long been interested in the origins of humans’ understanding of symbolic number, focusing primarily on how children learn the meanings of number words (e.g., “one”, “two”, etc.). However, recent evidence indicates that children learn the meanings of number gestures before learning number words. In the present set of experiments, we ask whether children's early knowledge of number gestures resembles their knowledge of nonsymbolic number. In four experiments, we show that preschool children (n = 139 in total; age M = 4.14 years, SD = 0.71, range = 2.75–6.20) do not view number gestures in the same the way that they view nonsymbolic representations of quantity (i.e., arrays of shapes), which opens the door for the possibility that young children view number gestures as symbolic, as adults and older children do. A video abstract of this article can be viewed at https://youtu.be/WtVziFN1yuI

Highlights

• Children were more accurate when enumerating briefly-presented number gestures than arrays of shapes, with a shallower decline in accuracy as quantities increased.
• We replicated this finding with arrays of shapes that were organized into neat, dice-like configurations (compared to the random configurations used in Experiment 1).
• The advantage in enumerating briefly-presented number gestures was evident before children had learned the cardinal principle.
• When gestures were digitally altered to pit handshape configuration against number of fingers extended, children overwhelmingly based their responses on handshape configuration.

     

Infants’ sense of approximate numerosity: Heritability and link to other concurrent traits

The ability to perceive approximate numerosity is present in many animal species, and emerges early in human infants. Later in life, it is moderately heritable and associated with mathematical abilities, but the etiology of the Approximate Number System (ANS) and its degree of independence from other cognitive abilities in infancy is unknown. Here, we assessed the phenotypic specificity as well as the influence of genetic and environmental factors on the ANS in a sample of 5-month-old twins (N = 514). We found a small-to-moderate but statistically significant effect of genetic factors on ANS acuity (heritability = 0.18, 95% CI: 0.02, 0.33), but only when differences in numerosity were relatively large (1:4 ratio). Non-verbal ability assessed with the Mullen Scales of Early Learning (MSEL) was found to be heritable (0.47; 95% CI: 0.34, 0.57) and the phenotypic association between ANS acuity and non-verbal ability performance was close to zero. Similarly, we found no association between ANS acuity and general attention during the task. An unexpected weak but statistically significant negative association between ANS acuity and scores on the receptive language scale of the MSEL was found. These results suggest that early ANS function may be largely independent from other aspects of non-verbal development. Further, variability in ANS in infancy seems to, to some extent, reflect genotypic differences in the population.

Highlights

• Assessing 514 infant twins with eye tracking, we found that infants' sense of approximate numerosity is heritable and not positively associated with concurrent attentional, cognitive or motor abilities.
• These results have implications for our understanding of development of mathematical ability and the link between cognitive abilities early in postnatal life.

     

Number sense at 12 months predicts 4-year-olds’ maths skills

Preverbal infants spontaneously represent the number of objects in collections. Is this ‘sense of number’ (also referred to as Approximate Number System, ANS) part of the cognitive foundations of mathematical skills? Multiple studies reported a correlation between the ANS and mathematical achievement in children. However, some have suggested that such correlation might be mediated by general-purpose inhibitory skills. We addressed the question using a longitudinal approach: we tested the ANS of 60 12 months old infants and, when they were 4 years old (final N = 40), their symbolic math achievement as well as general intelligence and inhibitory skills. Results showed that the ANS at 12 months is a specific predictor of later maths skills independent from general intelligence or inhibitory skills. The correlation between ANS and maths persists when both abilities are measured at four years. These results confirm that the ANS has an early, specific and longstanding relation with mathematical abilities in childhood.

Research Highlights

• In the literature there is a lively debate about the correlation between the ANS and maths skills.
• We longitudinally tested a sample of 60 preverbal infants at 12 months and rested them at 4 years (final sample of 40 infants).
• The ANS tested at 12 months predicted later symbolic mathematical skills at 4 years, even when controlling for inhibition, general intelligence and perceptual skills.
• The ANS tested at 4 years remained linked with symbolic maths skills, confirming this early and longstanding relation in childhood.

     

No intrinsic number bias: Evaluating the role of perceptual discriminability in magnitude categorization

Accumulating evidence suggests that there is a spontaneous preference for numerical, compared to non-numerical (e.g., cumulative surface area), information. However, given a paucity of research on the perception of non-numerical magnitudes, it is unclear whether this preference reflects a specific bias towards number, or a general bias towards the more perceptually discriminable dimension (i.e., number). Here, we found that when the number and area of visual dot displays were matched in mathematical ratio, number was more perceptually discriminable than area in both adults and children. Moreover, both adults and children preferentially categorized these ratio-matched stimuli based on number, consistent with previous work. However, when number and area were matched in perceptual discriminability, a different pattern of results emerged. In particular, children preferentially categorized stimuli based on area, suggesting that children's previously observed number bias may be due to a mismatch in the perceptual discriminability of number and area, not an intrinsic salience of number. Interestingly, adults continued to categorize the displays on the basis of number. Altogether, these findings suggest a dominant role for area during childhood, refuting the claim that number is inherently and uniquely salient. Yet they also reveal an increased salience of number that emerges over development. Potential explanations for this developmental shift are discussed.

Research Highlights

• Previous work found that children and adults spontaneously categorized dot array stimuli by number, over other magnitudes (e.g., area), suggesting number is uniquely salient.
• However, here we found that when number and area were matched by ratio, as in prior work, number was significantly more perceptually discriminable than area.
• When number and area were made equally discriminable (‘perceptually-matched’), children, contra adults, spontaneously categorized stimuli by area over number (and other non-numerical magnitudes).
• These findings suggest that area may be uniquely salient early in childhood, with the previously-observed number bias not emerging until later in development.

     

客体和空间工作记忆中三维图形的特征加工时程

采用单探测变化觉察范式，对三维图形的特征在客体和空间工作记忆中的加工时程进行了探讨。实验一的材料是由不同颜色和形状组成的规则立体图形。实验二的材料是由不同颜色和图案组成的六棱柱。实验结果显示：（1）客体和空间工作记忆绩效均随识记项目数的增加而显著下降；（2）随着刺激呈现时间的延长，客体工作记忆绩效显著提高，空间工作记忆绩效无明显增加；且在三种呈现时间条件下，空间工作记忆绩效均高于客体工作记忆；（3）三维图形中颜色特征的检测绩效优于形状、图案和特征捆绑。这些结果表明，视觉工作记忆中三维图形的特征加工存在显著的时程效应，空间位置加工最早完成，其次是颜色加工，然后是形状与颜色-形状的捆绑，最后是图案与颜色-图案的捆绑。     

Affective development and etiological implication in body image disorders and anorexia: reflections on bdd manifestations and refusal of food in a psychodynamic view

The literature demonstrates that relational experiences during childhood have a strong impact on the trajectories of psychological growth. This article focuses on the major developmental phases for identity formation, psychological growth, mentalization skills, and ability to share affective states. It presents a careful analysis of some key factors that influence the representation of body image and the relationship with food, from a perspective that integrates relational psychodynamic models. In particular, it looks at the ways in which individuals and caregivers actively co-create the symptomatic process of intrapsychic reality in which body disease and refusal of food are performed.     

关于古代术数中内算与外算易位问题的探讨

在古代,传统术数(也称数术)中的内算与外算是一个整体。在两千多年的历史时期中,从教育史、从业者的身份认同与知识结构,以及史籍对二者的记载和二者在数术整体功能中的权重等方面来看,"外算"是以"内算"的婢女身份出现的。从《四库全书》起,这一观念发生改变,而在阮元等人所编《畴人传》中,内算与外算之关系发生了易位。通过对晚明前清中西术数、中西文化会通的考察而发现,这一易位有其必然性。但是从人类文化的未来发展来看,二者关系及各自前景值得深入思考。