Individual differences in children's mathematical competence are related to the intentional but not automatic processing of Arabic numerals

In recent years, there has been an increasing focus on the role played by basic numerical magnitude processing in the typical and atypical development of mathematical skills. In this context, tasks measuring both the intentional and automatic processing of numerical magnitude have been employed to characterize how children’s representation and processing of numerical magnitude changes over developmental time. To date, however, there has been little effort to differentiate between different measures of ‘number sense’. The aim of the present study was to examine the relationship between automatic and intentional measures of magnitude processing as well as their relationships to individual differences in children’s mathematical achievement. A group of 119 children in 1st and 2nd grade were tested on the physical size congruity paradigm (automatic processing) as well as the number comparison paradigm to measure the ratio effect (intentional processing). The results reveal that measures of intentional and automatic processing are uncorrelated with one another, suggesting that these tasks tap into different levels of numerical magnitude processing in children. Furthermore, while children’s performance on the number comparison paradigm was found to correlate with their mathematical achievement scores, no such correlations could be obtained for any of the measures typically derived from the physical size congruity task. These findings therefore suggest that different tasks measuring ‘number sense’ tap into different levels of numerical magnitude representation that may be unrelated to one another and have differential predictive power for individual differences in mathematical achievement.     

The mental representation of causal conditional reasoning: mental models or causal models

In this paper, two experiments are reported investigating the nature of the cognitive representations underlying causal conditional reasoning performance. The predictions of causal and logical interpretations of the conditional diverge sharply when inferences involving pairs of conditionals—such as if P₁then Q and if P₂then Q—are considered. From a causal perspective, the causal direction of these conditionals is critical: are the P_icauses of Q; or symptoms caused byQ. The rich variety of inference patterns can naturally be modelled by Bayesian networks. A pair of causal conditionals where Q is an effect corresponds to a “collider” structure where the two causes (P_i) converge on a common effect. In contrast, a pair of causal conditionals where Q is a cause corresponds to a network where two effects (P_i) diverge from a common cause. Very different predictions are made by fully explicit or initial mental models interpretations. These predictions were tested in two experiments, each of which yielded data most consistent with causal model theory, rather than with mental models.     

Specificity of episodic and semantic aspects of autobiographical memory in relation to symptoms of posttraumatic stress disorder (PTSD)

Two studies examined the relationship between the ability to access specific autobiographical material in memory and presence/symptoms of posttraumatic stress. In Study 1, a sample of refugees with a diagnosis of posttraumatic stress disorder (PTSD) completed the Autobiographical Memory Test (AMT) in which they had to generate specific episodic autobiographical memories in response to emotion-related cue words. Results showed that reduced specificity of memories on the AMT was associated with an increased frequency of trauma-related flashbacks but with reduced use of effortful avoidance to deal with trauma-related intrusions in the day-to-day. Study 2 examined retrieval of semantic autobiographical information from previous lifetime periods in groups of cancer survivors with posttraumatic stress and healthy controls. The cancer survivors were able to generate fewer specific semantic details about the personal past compared to the controls. The more symptomatic survivors showed the greatest memory impairment. The data from both studies are discussed in terms of compromised access to specific autobiographical material in distressed trauma survivors reflecting a process of affect regulation.     

Genetic Counseling in Southern Iran: Consanguinity and Reason for Referral

Population based genetic counseling that promotes public health goals is an appropriate health care service. The genetic counseling center in Shiraz, southern Iran serves most of the clients in the region. During a 4-year period, 2,686 couples presented for genetic counseling. Data files revealed that 85% had consanguineous relationships (1.5% double first cousin, 74% first cousin, 8% second cousin, 1.5% beyond second cousin). Most prevalent reasons for referral were premarital counseling (80%), with 89% consanguinity, followed by preconception (12%), postnatal (7%), and prenatal counseling (1%). The most common abnormalities in probands or relatives were intellectual and developmental disabilities, hearing loss/impairment, and neuromuscular dystrophies. Family history of medical problem(s) and/or consanguinity was the main indication for referral in nearly every family. Premarital consanguinity poses unique challenges and opportunities. There is considerable opportunity for genetic counseling and education for couples in this population. The tradition of consanguinity, which is likely to persist in Iran, requires multidisciplinary agreement regarding the appropriate process of genetic counseling. Effective genetic counseling in Iran hinges on inclusion of data from genetic counseling services in national genomic and epidemiologic research programs.     

Domain-specific and domain-general changes in children's development of number comparison

The numerical distance effect (inverse relationship between numerical distance and reaction time in relative number comparison tasks) has frequently been used to characterize the mental representation of number. The size of the distance effect decreases over developmental time. However, it is unclear whether this reduction simply reflects developmental changes in domain-general speed of processing and whether it is specific to numerical compared with non-numerical magnitude. To examine these open questions, we conducted a cross-sectional study with 6-, 7-, and 8-year-old children as well as adult college students. Participants performed comparisons on Arabic numerals, arrays of squares, squares of varying luminance and bars of varying height. To control for general age-related changes in reaction time, a measure of speed of processing was used as a covariate in the analysis. A significant developmental decrease in the distance effect was found across numerical and non-numerical comparison tasks over and above general changes in processing speed. However, this change was not found to differ as a function of format. These data suggest that developmental changes in the distance effect are reflective of changes in a domain-general comparison process, rather than domain-specific developmental changes in number representations. However, analysis of overall reaction times revealed significantly greater developmental changes for numerical relative to non-numerical comparison tasks. These findings highlight the importance of taking multiple measures into account when characterizing developmental changes in numerical magnitude processing. Implications for theories of numerical cognition and its development are discussed.     

Small and large number processing in infants and toddlers with Williams syndrome

Previous studies have suggested that typically developing 6‐month‐old infants are able to discriminate between small and large numerosities. However, discrimination between small numerosities in young infants is only possible when variables continuous with number (e.g. area or circumference) are confounded. In contrast, large number discrimination is successful even when variables continuous with number are systematically controlled for. These findings suggest the existence of different systems underlying small and large number processing in infancy. How do these develop in atypical syndromes? Williams syndrome (WS) is a rare neurocognitive developmental disorder in which numerical cognition has been found to be impaired in older children and adults. Do impairments of number processing have their origins in infancy? Here this question is investigated by testing the small and large number discrimination abilities of infants and toddlers with WS. While infants with WS were able to discriminate between 2 and 3 elements when total area was confounded with numerosity, the same infants did not discriminate between 8 and 16 elements, when number was not confounded with continuous variables. These findings suggest that a system for tracking the features of small numbers of object (object‐file representation) may be functional in WS, while large number discrimination is impaired from an early age onwards. Finally, we argue that individual differences in large number processing in infancy are more likely than small number processing to be predictive of later development of numerical cognition.     

The Endorsement of Minority Rights: The Role of Group Position, National Context, and Ideological Beliefs

The present research was conducted in the Netherlands and used an experimental design to examine the endorsement of minority rights among Turkish and Kurdish participants in two framed, national contexts: the Netherlands and Turkey. In the Dutch context, each group is a minority, whereas in the Turkish context the Kurds are an oppressed national minority and the Turks are the national majority. The results showed that the Turks were less in favor of minority rights in the Turkish context than in the Dutch context, whereas the Kurds were more in favor of minority rights in the Turkish than in the Dutch context. In addition, the endorsement of minority rights was related to beliefs about majority rule, state unity, and ingroup identification, as well as to cultural diversity and perceived pervasive discrimination. The associations with the former three measures differed between the two groups and the two national contexts, whereas the latter two measures had main effects on the endorsement of minority rights.     

Philosophy of Science in Iran

First steps are taken in the following toward the study of present‐day philosophy of science in Iran, by choosing various examples in the hope of showing that philosophy of science in Iran has emerged predominantly as an apologetic and ideological discourse. I start by pointing out the complexities of method in such a study. I then criticise two writing samples by two well‐known Iranian scholars, which exemplify the first Iranian reaction to logical positivism. The study continues with a survey of the mistakes in the Persian translation of T. S. Kuhn’s The Structure of Scientific Revolutions, a study of the status of research in philosophy of science in Iran, and a critique of attempts by Iranian scholars at indigenising philosophy of science through the reconciliation of modern science with Islamic faith.     

The role of a mentoring group for family therapy trainees and therapists of color

This article discusses the development, process, and impact of a mentoring group for family therapists of color. A within-group process for trainees of color in a predominantly White institution can provide a valuable resource for support, validation, empowerment, and collective action. The article examines how such mentoring promotes the effectiveness of therapists of color, as well as the practices and goals of social justice and diversity within training institutions and the field in general. Reflections and recommendations for implementing such a group are offered, as well as a personal narrative of a group member's experience of finding her voice in the group.     

Microinjections of the dopamine D2 receptor antagonist sulpiride into the medial prefrontal cortex attenuate glucocorticoid-induced impairment of long-term memory retrieval in rats

We recently reported that blockade of dopamine (DA) D2 receptors attenuated deficits in long-term memory retrieval induced by a systemic injection of corticosterone, but the anatomical sites of such interaction were not known. In this study, we investigated whether the DA D2 receptors located in the medial prefrontal cortex (mPFC) may play a role in the impairing effects of glucocorticoids on the memory retrieval process. Young adult male rats were trained in a one trial inhibitory avoidance task (0.5 mA, 3s footshock). On the retention test given 48 h after training, the latency to re-enter the dark compartment and the time spent in light compartment of the apparatus were recorded. Systemically administered corticosterone (1mg/kg) given to rats 30 min before retention testing impaired their memory retrieval. Bilateral microinjections of the DA D2 receptor antagonist sulpiride (10 or 100 ng/0.5 microl per side) into the mPFC 30 min before corticosterone administration attenuated the glucocorticoid-induced impairment of memory retrieval. Furthermore, applied doses of sulpiride alone were ineffective in modulating memory retrieval. These findings indicate that D2 receptors located in the mPFC play an important role in mediating the impairing effects of glucocorticoids on memory retrieval.