The relation between subitizable symbolic and non‐symbolic number processing over the kindergarten school year

A long‐standing debate in the field of numerical cognition concerns the degree to which symbolic and non‐symbolic processing are related over the course of development. Of particular interest is the possibility that this link depends on the range of quantities in question. Behavioral and neuroimaging research with adults suggests that symbolic and non‐symbolic quantities may be processed more similarly within, relative to outside of, the subitizing range. However, it remains unclear whether this unique link exists in young children at the outset of formal education. Further, no study has yet taken numerical size into account when investigating the longitudinal influence of these skills. To address these questions, we investigated the relation between symbolic and non‐symbolic processing inside versus outside the subitizing range, both cross‐sectionally and longitudinally, in 540 kindergarteners. Cross‐sectionally, we found a consistently stronger relation between symbolic and non‐symbolic number processing within versus outside the subitizing range at both the beginning and end of kindergarten. We also show evidence for a bidirectional relation over the course of kindergarten between formats within the subitizing range, and a unidirectional relation (symbolic → non‐symbolic) for quantities outside of the subitizing range. These findings extend current theories on symbolic and non‐symbolic magnitude development by suggesting that non‐symbolic processing may in fact play a role in the development of symbolic number abilities, but that this influence may be limited to quantities within the subitizing range.     

The Ideational Foundations of Symbolic Ideology

Theories of symbolic ideology view it as an affective orientation untouched by ideational content. Drawing on Shalom Schwartz's theory of basic human values, we propose that four bedrock values—universalism, openness to change, conservation, and self-enhancement—shape symbolic ideology. We explore whether politically sophisticated and unsophisticated individuals ground symbolic ideological identities in cognitive values to a comparable degree. Using data from two nationally representative U.S. surveys, we find that universalism and conservation predict liberal-conservative attachments for people at all levels of sophistication. By contrast, openness to change and self-enhancement values appear to have little influence on symbolic ideology. The universalism and conservation effects hold controlling for multiple psychological and individual differences variables. These results suggest that ideational predispositions play a substantial role in shaping symbolic ideology.     

Dreaming under fire: the psyche in times of continuous stress

Continuous stress and trauma are manifested in dreams, the study of which can expand our knowledge concerning unconscious reactions to trauma and efforts of coping with continuous traumatic situations. In our research we asked people living under continuous threat of rocket attacks to record their dreams and their associations to them during four consecutive weeks. We collected 609 dreams from 44 women and 18 men (age range 14-62). The dreams submitted were analysed according to the Jungian approach in the light of the information and associations presented by the subjects. Full dream series of dreamers from each group were analysed in an attempt to capture the depth-psychological experience of living and dreaming under fire. The most frequent themes found were: ‘concrete vs. symbolic', ‘togetherness', ‘active ego', ‘fear and anxiety', ‘shadow' and ‘personal issue'. The subjects were divided into three age groups. Differences between the occurrences of themes were examined. On the unconscious level our results showed that the adolescents group seemed to be the most vulnerable to the stress situation (preponderance of concrete dreams), the mature adults group was the least influenced by it (preponderance of symbolic dreams and of the ‘personal issue' theme) and the young adults group made the greatest psychological efforts for coping (preponderance of ‘active ego' theme). We noted few anima figures appearing in the men's dreams, while animus figures appeared in the women's dreams. In another study undertaken immediately after one of the recent wars in Gaza we collected dreams of Israelis living in the south of Israel who were under heavy daily rocket attacks, and dreams of Palestinians living in the West Bank. The most significant difference we found between the groups was a preponderance of symbolic dreams among the Palestinians, as opposed to a preponderance of concrete trauma dreams among the Israeli group living on the Gaza border. In both groups we found archetypal symbols of evil. In conclusion, dreams can help us detect emotional distress, even when subjects seem ‘ok'. Early detection and working with dreams can help prevent the severity of delayed PTSD.     

Using intraverbal training to increase symbolic play in children with autism spectrum disorder

We evaluated the effects of an intraverbal training procedure on the acquisition, maintenance, and generalization of object‐substitution symbolic play in three 6‐year‐old Korean boys with autism spectrum disorder. A multiple probe across four behaviors design was used. All children acquired target symbolic play behavior, and novel responses emerged in training and follow‐up conditions. Generalization of object substitutions to untaught objects occurred in all three children. Free play observations indicated that symbolic play emerged in one child, and functional play increased in all three children.     

Moving attention along the mental number line in preschool age: Study of the operational momentum in 3‐ to 5‐year‐old children's non‐symbolic arithmetic

People tend to underestimate subtraction and overestimate addition outcomes and to associate subtraction with the left side and addition with the right side. These two phenomena are collectively labeled 'operational momentum' (OM) and thought to have their origins in the same mechanism of 'moving attention along the mental number line'. OM in arithmetic has never been tested in children at the preschool age, which is critical for numerical development. In this study, 3–5 years old were tested with non‐symbolic addition and subtraction tasks. Their level of understanding of counting principles (CP) was assessed using the give‐a‐number task. When the second operand's cardinality was 5 or 6 (Experiment 1), the child's reaction time was shorter in addition/subtraction tasks after cuing attention appropriately to the right/left. Adding/subtracting one element (Experiment 2) revealed a more complex developmental pattern. Before acquiring CP, the children showed generalized overestimation bias. Underestimation in addition and overestimation in subtraction emerged only after mastering CP. No clear spatial‐directional OM pattern was found, however, the response time to rightward/leftward cues in addition/subtraction again depended on stage of mastering CP. Although the results support the hypothesis about engagement of spatial attention in early numerical processing, they point to at least partial independence of the spatial‐directional and magnitude OM. This undermines the canonical version of the number line‐based hypothesis. Mapping numerical magnitudes to space may be a complex process that undergoes reorganization during the period of acquisition of symbolic representations of numbers. Some hypotheses concerning the role of spatial‐numerical associations in numerical development are proposed.     

Explorations of silence in the religious rituals of Buddhists and Quakers

This paper is a participant-observation-based study of one Quaker and three Buddhist groups. Using a sociological framework, it explores silence as actively practiced in religious ritual. It demonstrates the usefulness of employing multiple continuums to analyze practices, including a speech–silence continuum, a body movement–body stillness continuum, and a thinking–not thinking continuum. Even when silence is seen as active, it may be construed as functioning to turn people inward and away from each other. Instead, this paper demonstrates how silence for these groups is not necessarily socially isolating. For instance, participants not only learned, practiced, and reflected on silence together, but drew connections between the practice of silence and changes in everyday social interactions, including bringing compassion into these. Some persons referred to realizing a sense of interconnectedness in the silence akin to a Meadian fusion.     

Effects of Reward Structures on Academic Performance and Group Processes in a Classroom Setting

Researchers have suggested that cooperative, intergroup competitive, and individualistic reward structures result in different patterns of academic performance and group processes. In this study, we investigated these relationships in an undergraduate business school setting. A reward structure was manipulated across four separate classes, and outcomes were measured using self-reports of group effectiveness, academic performance as graded by instructors, and peer evaluations from group members. The results indicated that group effectiveness was rated significantly higher under the cooperative and no-reward conditions compared to the intergroup competitive reward condition. Peer evaluations in the intergroup competitive condition were significantly lower then those under the other three conditions.     

Trauma and the symbolic function of the mind

The relationship between trauma and the symbolic function of the mind is discussed in three parts. First, a short outline is given of the long‐lasting split within the field of trauma: it consists in a dichotomy between the symbolic and anti‐symbolic reading of the traumatic experience – as I have called it in a previous paper. In the second part, it is maintained that the work of Ferenczi represents an attempt at overcoming this split. In the third and last part, the notion of symbolic adaptation is introduced. The process of adaptation has to ensure the survival of the individual along lines capable to foster the hope that the lost equilibrium between the individual and his environment will one day be restored. This function is performed by symbols: by linking together the lost satisfaction and the hoped‐for wish‐fulfillment, by creating bridges between past and future, symbols enable us to adjust to the new environment without renouncing hope. Symbols are mediators between the pleasure principle and the reality principle. When a person is struck by trauma it is precisely this unifying function which is broken. A typical consequence of this situation is described by Ferenczi as a rupture between feeling and intelligence.     

清华简《程寤》主旨试探

《程寤》中太姒所梦的内涵引起许多学者的关注,从而展开了很多有价值的探索。本文结合学术界的现有成果,辅以个人的认识,对此梦的含义做了进一步的论述,认为梓与太子发密切相关,代表周;松、柏、械、柞指周的贤臣。太子发在梦中的作用十分重要,此梦的象征意义乃是太子发将会率周的贤臣占领商都,推翻商朝。