The neurophysiological relationship between number anxiety and the EEG gamma-band

ABSTRACT

The development of math anxiety is thought to originate at a young age, as a form of number anxiety, but has not been investigated extensively. Research has shown greater levels of EEG gamma-band activity are experienced during threat perception and attentional bias. This has been identified in high math anxious individuals when confronted with math-based tasks, but has not yet been explored for number anxiety specifically. Single-digit numbers and letters were presented to 15 high and 15 low math anxious participants, who were required to observe the stimuli. High math anxious participants displayed significantly greater levels of gamma activity during number observation compared to letter observation. Findings suggest high math anxious individuals may have a threat-related response to observation of simple numerical stimuli. Further behavioural investigations are needed, but high math anxious individuals may display avoidance towards number and math due to a threat response associated with increased gamma activity.     

Feature integration is not the whole story of the sequence effects of symbolic cueing

ABSTRACT

Sequential modulations in symbolic cueing tasks have been attributed to complete versus partial repetition/alternation of stimulus features between consecutive trials. This feature-integration hypothesis is questioned by recent findings and further investigated in the present study. In the first two experiments, when the cueing axes switched between trials, only complete alternation of cue directions and target locations existed. Nevertheless, significant sequence effects were still found in this condition, which did not support the feature-integration hypothesis. Furthermore, although sequence effects were still significant when stimulus identities were manipulated in Experiment 3, it was abolished when different cue categories (gaze and arrow) were presented as cues in Experiment 4. The findings suggest that the integration of stimulus features is not the only source of the sequential effect and some higher level cognitive mechanisms, possibly as described in the task-file or task organization hypotheses, are involved in the sequential modulations of symbolic cueing.     

Children acquire the later‐greater principle after the cardinal principle

Many have proposed that the acquisition of the cardinal principle (CP) is a result of the discovery of the numerical significance of the order of the number words in the count list. However, this need not be the case. Indeed, the CP does not state anything about the numerical significance of the order of the number words. It only states that the last word of a correct count denotes the numerosity of the counted set. Here, we test whether the acquisition of the CP involves the discovery of the later‐greater principle – that is, that the order of the number words corresponds to the relative size of the numerosities they denote. Specifically, we tested knowledge of verbal numerical comparisons (e.g., Is ‘ten’ more than ‘six’?) in children who had recently learned the CP. We find that these children can compare number words between ‘six’ and ‘ten’ only if they have mapped them onto non‐verbal representations of numerosity. We suggest that this means that the acquisition of the CP does not involve the discovery of the correspondence between the order of the number words and the relative size of the numerosities they denote.     

现代世界观中的意识及其哲学难题从《太玄》看量子计算数制问题的两难境遇

数制体系是描述计算过程的基础工具,传统的二进制体系在经典计算机发展中起着至关重要的作用,这是毫无疑问的。但面对新型的量子计算,如何建立与之相适应的数制体制,却成为一个疑难问题。本文主要从中国古代以《太玄》为代表的"三性"思想出发,对量子计算建立数制的两难境遇进行了分析,结果指出,量子计算在本质上与经典计算不同的根本差别是量子纠缠性,其刻画的不仅仅是物质不可分别的波粒二象本性,也同样刻画了逻辑不可描述的真假同显本性。这样一来,要建立量子计算数制描述体系,就必然落入这样一种两难境遇:要么借用经典数制体系来模拟量子计算过程的描述,但不可能真正把握量子纠缠性的本性;要么就根本找不到可以描述这种具有"和合性"特点的数制体系。     

Children's expectations about training the approximate number system

Humans possess a developmentally precocious and evolutionarily ancient approximate number system (ANS) whose sensitivity correlates with uniquely human symbolic arithmetic skills. Recent studies suggest that ANS training improves symbolic arithmetic, but such studies may engender performance expectations in their participants that in turn produce the improvement. Here, we assessed 6‐ to 8‐year‐old children's expectations about the effects of numerical and non‐numerical magnitude training, as well as states of satiety and restfulness, in the context of a study linking children's ANS practice to their improved symbolic arithmetic. We found that children did not expect gains in symbolic arithmetic after exercising the ANS, although they did expect gains in ANS acuity after training on any magnitude task. Moreover, children expected gains in symbolic arithmetic after a good night's sleep and their favourite breakfast. Thus, children's improved symbolic arithmetic after ANS training cannot be explained by their expectations about that training.     

Is there really a link between exact‐number knowledge and approximate number system acuity in young children?

Although everyone perceives approximate numerosities, some people make more accurate estimates than others. The accuracy of this estimation is called approximate number system (ANS) acuity. Recently, several studies have reported that individual differences in young children's ANS acuity are correlated with their knowledge of exact numbers such as the word ‘six’ (Mussolin et al., 2012, Trends Neurosci. Educ., 1, 21; Shusterman et al., 2011, Connecting early number word knowledge and approximate number system acuity; Wagner & Johnson, 2011, Cognition, 119, 10; see also Abreu‐Mendoza et al., 2013, Front. Psychol., 4, 1). This study argues that this correlation should not be trusted. It seems to be an artefact of the procedure used to assess ANS acuity in children. The correlation arises because (1) some experimental designs inadvertently allow children to answer correctly based on the size (rather than the number) of dots in the display and/or (2) young children with little exact‐number knowledge may not understand the phrase ‘more dots’ to mean numerically more. When the task is modified to make sure that children respond on the basis of numerosity, the correlation between ANS acuity and exact‐number knowledge in normally developing children disappears.     

Exploration of anomalous perceptual experiences in migraine between attacks using the Cardiff Anomalous Perceptions Scale

Distortions in sensory experiences that precede a migraine attack have been extensively documented, the most well-known being the visual aura. Distortions in the experience of other senses are also reported as part of an aura, albeit less frequently, together with changes in the perception or ownership of the body or body parts. There are many examples of differences in aspects of visual perception between migraine and control groups, between attacks, but not as much on unusual experiences involving other senses, the sense of the body or the experience of the environment. Seventy-seven migraine (33 with aura) and 74 control participants took part. Anomalous perceptions were experienced by both migraine and control groups, but more with migraine experienced them and rated them as more distressing, intrusive and frequent. Associations with reports of visual triggers of migraine and visual discomfort are presented. This study is the first to show relationships between these factors.     

The relationship between mental rotation and arithmetic: do number line estimation,working memory,or place-value concept matter?

Mental rotation is positively related to arithmetic ability; however, the mechanism underlying this relationship remains unclear. The possible roles of working memory, place-value concept, and number line estimation in the correlation between mental rotation and whole-number computation were investigated. One hundred and fifty-five first-grade students were tested to determine their mental rotation ability, arithmetic ability, and non-verbal intelligence. One year later, their working memory, place-value concept, number line estimation, and overall arithmetic ability were assessed. After controlling for age, gender, and prior arithmetic ability, we found that mental rotation uniquely predicted arithmetic ability after one year. Further mediation analyses demonstrated that number line estimation significantly mediated the relationship between mental rotation and arithmetic ability. In contrast, neither working memory nor place-value concept significantly mediated the relationship between mental rotation and arithmetic ability. This study highlights that mental number line estimation is the most important element explaining the influence of a dynamic spatial skill, that is, mental rotation, on arithmetic ability among young Chinese children.