The link between math anxiety and performance does not depend on working memory: A network analysis study.

Math anxiety (MA) and working memory (WM) influence math performance. Yet the interplay between them is not fully understood. Inconsistent results possibly stem from the multicomponent structure of math performance and WM. Using network analysis approach, we investigated the drivers of the MA, WM and math performance edges, and the contribution of each node to the network. First, 116 women completed a battery of tests and questionnaires. Second, we explored the generalizability of our model by applying it to a new data-set (Skagerlund et al., 2019; conceptual replication). The results revealed: (1) the links between MA and WM depend on specific task properties, specifically, WM tasks that require manipulation of numbers; (2) WM and MA are independently linked to math performance; and (3) each WM task is associated with different math abilities. The study provides a strong and reliable model showing the direct effects of math anxiety on math performance.

Nonsymbolic-Magnitude Deficit in Adults With Developmental Dyscalculia: Evidence of Impaired Size Discrimination but Intact Size Constancy.

Although researchers have debated whether a core deficit of nonsymbolic representation of magnitude underlies developmental dyscalculia (DD), research has mostly focused on numerosity processing. We probed the possibility of a general magnitude deficit in individuals with DD and asked whether sensitivity to size varied in contexts of depth ordering and size constancy. We measured full psychometric functions in size-discrimination tasks in 12 participants with DD and 13 control participants. Results showed that although people with DD exhibited veridical perceived magnitude, their sensitivity to size was clearly impaired. In contrast, when objects were embedded in depth cues allowing size-constancy computations, participants with DD demonstrated typical sensitivity to size. These results demonstrate a deficit in the perceptual resolutions of magnitude in DD. At the same time, the finding of an intact size constancy suggests that when magnitude perception is facilitated by implicit mandatory computations of size constancy, this deficit is no longer evident.

Math anxiety affects females' vocational interests.

Vocational interest in science, technology, engineering, and math (STEM) fields in middle school can predict life outcomes, including enrollment in STEM courses and pursuing STEM careers. Numerical performance, as well as emotional factors such as math anxiety (MA), may influence vocational interests. The constructs of both vocational interests and MA are sensitive to gender differences. Accordingly, this study explored whether the relations among MA, numerical performance, and math vocational interests among middle-school students vary by gender. A sample of 127 ninth-grade students (68 females) performed a computation task and completed MA and trait anxiety (TA) questionnaires. A math vocational interest questionnaire was composed and assessed with an additional sample of 89 ninth-grade students. For females, MA, but not TA or numerical performance, predicted math vocational interest. Those with low MA levels tended to be interested in careers with higher math proficiency such as STEM careers. For males, high numerical performance and low TA, but not MA, related to interest in careers with high math proficiency. Bayes factors indicated that the data strongly supported the theory. The findings support the assumption that high MA levels affect the career plans of female students, whereas low numerical performance can account for both MA levels and future career plans of male students. It is essential to investigate how career aspirations are shaped in young students to promote the choice of STEM careers, especially among underrepresented populations such as females.

Frequency-based Dissociation of Symbolic and Nonsymbolic Numerical Processing during Numerical Comparison.

Recent evidence suggests that during numerical calculation, symbolic and nonsymbolic processing are functionally distinct operations. Nevertheless, both roughly recruit the same brain areas (spatially overlapping networks in the parietal cortex) and happen at the same time (roughly 250 msec poststimulus onset). We tested the hypothesis that symbolic and nonsymbolic processing are segregated by means of functionally relevant networks in different frequency ranges: high gamma (above 50 Hz) for symbolic processing and lower beta (12-17 Hz) for nonsymbolic processing. EEG signals were quantified as participants compared either symbolic numbers or nonsymbolic quantities. Larger EEG gamma-band power was observed for more difficult symbolic comparisons (ratio of 0.8 between the two numbers) than for easier comparisons (ratio of 0.2) over frontocentral regions. Similarly, beta-band power was larger for more difficult nonsymbolic comparisons than for easier ones over parietal areas. These results confirm the existence of a functional dissociation in EEG oscillatory dynamics during numerical processing that is compatible with the notion of distinct linguistic processing of symbolic numbers and approximation of nonsymbolic numerical information.

Innateness of magnitude perception? Skill can be acquired and mastered at all ages.

We agree with Leibovich et al.'s argument that the number sense theory should be re-evaluated. However, we argue that highly efficient skills (i.e., fluent and highly accurate, "automatic," performance) can be acquired and mastered at all ages. Hence, evidence for primacy or fluency in perceiving continuous magnitudes is insufficient for supporting strong conclusions about the innateness of this aptitude.

Does the learning of two symbolic sets of numbers affect the automaticity of number processing in children?

We explored the effects of learning two different symbolic sets of numerals (Arabic and Indian) on the development of automatic number processing. Children in the school we examined learn Indian numerals between first and third grades. In third grade, they switch to a new set of numerals (i.e., Arabic numbers). Participants in this study performed a numerical Stroop-like task in which they assessed the numerical value or physical size of stimuli varying along these two dimensions. Each participant saw either Arabic or Indian numerals. The results of the size congruity effect in the physical task, for both Indian and Arabic numerals, suggest that studying two sets of numerals interferes with the acquisition of an automatic association of a numerical symbol and magnitude. This is true both for the first learned set of numerals (i.e., Indian numerals) and for the second one (i.e., Arabic numerals). Furthermore, we found an absence of the distance effect, which further supports this conclusion. This learning program gave us the unique opportunity to examine the connection between symbolic sets and the mental representation of numbers in a novel fashion.

Emotion regulation skills as a mediator of STEM teachers' stress, well-being, and burnout.

The teaching profession highly stressful, and teachers are often faced with challenging situations. This is particularly the case in STEM (science, technology, engineering, and math) education, which is a uniquely demanding and challenging field. This study examined the role of emotional regulation (ER) skills in STEM teachers' stress, well-being, and burnout. The sample included 165 STEM teachers in middle and high schools who completed standard online questionnaires on ER, stress, well-being, and burnout. They were also asked to comment on three videos depicting authentic mathematical and pedagogical situations. The results indicated that contrary to popular belief, seniority was not linked with levels of stress, difficulties in ER, lower levels of well-being, or higher levels of burnout. A structural equation model and bootstrapping analysis showed teachers' levels of stress predicted their well-being, and this link between stress and well-being was mediated by teachers' level of difficulty in ER. The study highlights the importance of STEM teachers' well-being and suggests the need to reduce stress and burnout by providing tools for teachers to regulate their emotions in the classroom.

Don't stand so close to me: a behavioral and ERP study of preferred interpersonal distance.

The space between people, or interpersonal distance, creates and defines the dynamics of social interactions. Given that invasion of one's interpersonal space may trigger threat and anxiety, a critical question is if high vulnerability to social anxiety (SA) is associated with avoidance and attentional biases when anticipating invasion to one's interpersonal space. Therefore, the current study sought to examine the behavioral mechanisms, time course and neural correlates underlying the threat of interpersonal distance invasion with a focus on different SA levels, using both a behavioral and an ERP experiment. Preferred interpersonal distance was assessed using a paradigm that involves responding to different virtual protagonists (friend or stranger) approaching the participant by indicating where one would like the protagonist to stop. In addition, participants' level of social anxiety was measured. The behavioral experiment indicated that levels of SA predicted one's preferred interpersonal distance such that higher SA individuals preferred further distance from a stranger. At the neural level, across groups, early (N1) but not late (LPP) differences were found between stranger and friend conditions. Importantly, SA individuals were characterized by attenuated early ERP responses, suggesting less attentional resources allocated to social stimuli. The results suggest that high SA individuals feel discomfort earlier than others in social engagement, which may lead them to stand further away, thus creating less communicative social interactions.

Processing ordinality and quantity: ERP evidence of separate mechanisms.

We report an event-related potential (ERP) experiment of ordinal processing exploring the relationship between ordinal and numerical information. ERPs were recorded from healthy adults while making ordered/non-ordered judgments on 3 non-symbolic numerical stimuli (arrays of dots). Three main variables were manipulated: (1) Ordinality (ordered vs. non-ordered groups of dots), tapping the quick "gist" estimation of ordinality. (2) Direction (ascending vs. descending order), tapping the symbolic, culturally influenced aspect of ordinality, and (3) Ratio between the group of dots, tapping the processing of the basic numerosity information. Behavioral results showed independent effects for each variable, replicating our previous findings with this paradigm. ERP effects differentiated between three cognitive processes for estimating ordinality, processing numerosity, and direction. This differentiation was found both in terms of timing and topography: Order estimation was associated with early scalp parietal and lateral occipital positivity (80-130ms) originating in the left Middle Temporal Gyrus; numerical ratio was associated with a later scalp medial posterior positivity (130-200ms); and direction was associated with a late and widespread scalp right frontal and scalp right parietotemporal positivity and a corresponding scalp left frontal and scalp left parietotemporal negativity (300-600ms). A theoretical model is suggested, stressing an early and basic ordinal-specific mechanism.

Implicit Processing of Numerical Order: Evidence from a Continuous Interocular Flash Suppression Study.

Processing the ordered relationships between sequential items is a key element in many cognitive abilities that are important for survival. Specifically, order may play a crucial role in numerical processing. Here, we assessed the existence of a cognitive system designed to implicitly evaluate numerical order, by combining continuous flash suppression with a priming method in a numerical enumeration task. In two experiments and diverse statistical analysis, targets that required numerical enumeration were preceded by an invisibly ordered or non-ordered numerical prime sequence. The results of both experiments showed that enumeration for targets that appeared after an ordered prime was significantly faster, while the ratio of the prime sequences produced no significant effect. The findings suggest that numerical order is processed implicitly and affects a basic cognitive ability: enumeration of quantities.

Using Reappraisal to Improve Outcomes for STEM Teachers and Students.

The many stressors associated with teaching can take a toll, resulting in high levels of burnout among teachers and reduced motivation and academic performance among students. This is especially true in the context of science, technology, engineering, and mathematics (STEM) subjects. Despite the efficacy of emotion regulation interventions in pedagogical settings in general and in STEM teaching in particular, there is a lack of suitable interventions. We applied the process model of emotion regulation to STEM teaching and proposed a framework, STEM-Model of EmotioN regulation: Teachers' Opportunities and Responsibilities (STEM-MENTOR), to elucidate how the high demands of STEM teaching and contextual factors (e.g., culture, reforms, teacher-student interactions) may lead to intensified negative emotions and deficits in executive functioning and emotion regulation implementation. Teacher emotions, in turn, shape students' STEM-related achievements and epistemic emotions. Thus, teachers' emotion regulation skills have pervasive effects on teaching outcomes for both teachers and students. We illustrate how at each level of our framework, steps could be taken to improve teachers' emotional trajectory. Our proposed STEM-MENTOR framework has implications for theoretical understanding and may help to shape future interventions that focus on cognitive-emotional processes in STEM education.

Symbolic and non symbolic numerical representation in adults with and without developmental dyscalculia.

BACKGROUND: The question whether Developmental Dyscalculia (DD; a deficit in the ability to process numerical information) is the result of deficiencies in the non symbolic numerical representation system (e.g., a group of dots) or in the symbolic numerical representation system (e.g., Arabic numerals) has been debated in scientific literature. It is accepted that the non symbolic system is divided into two different ranges, the subitizing range (i.e., quantities from 1-4) which is processed automatically and quickly, and the counting range (i.e., quantities larger than 4) which is an attention demanding procedure and is therefore processed serially and slowly. However, so far no study has tested the automaticity of symbolic and non symbolic representation in DD participants separately for the subitizing and the counting ranges. METHODS: DD and control participants undergo a novel version of the Stroop task, i.e., the Enumeration Stroop. They were presented with a random series of between one and nine written digits, and were asked to name either the relevant written digit (in the symbolic task) or the relevant quantity of digits (in the non symbolic task) while ignoring the irrelevant aspect. RESULT: DD participants, unlike the control group, didn't show any congruency effect in the subitizing range of the non symbolic task. CONCLUSION: These findings suggest that DD may be impaired in the ability to process symbolic numerical information or in the ability to automatically associate the two systems (i.e., the symbolic vs. the non symbolic). Additionally DD have deficiencies in the non symbolic counting range.

Math anxiety and deficient executive control: does reappraisal modulate this link?

The literature suggests an interplay between executive control functions and emotion regulation processes, with each playing a key role in math anxiety. We examined the relation between the use of two different emotion regulation strategies (reappraisal and suppression) and the ability to reduce emotional interference in high-conflict situations (i.e., executive control of attention) in cases of math anxiety. A sample of 107 adults completed emotion regulation tendencies and math anxiety questionnaires and performed a flanker task following the priming of a math-related or negative word. The findings revealed: (1) highly math-anxious individuals had difficulty controlling emotional distractions induced by math information, even as simple as math-related words, in high-conflict conditions; and (2) the tendency to use reappraisal in everyday situations was associated with math-anxious individuals' ability to avoid heightened emotional reactions when encountering math-related (i.e., threatening) information. These findings point to the efficacy of reappraisal-focused intervention and suggest an innovative mechanism through which reappraisal reduces emotional reactions and improves performance among math-anxious individuals, indicating a new way to approach interventions for math anxiety.

Mathematical and Negative Information Are Similarly Processed: Pupil Dilation as an Indicator.

BACKGROUND: Emotional perception of math-related information can affect an individual's attitude and professional choices, especially in the area of science, technology, engineering, and math (STEM) professions. METHOD: The study compared the processing of math-related words, words with negative emotional valence, and words with neutral valence, using the physiological measure of pupil dilation on a random sample of 30 adults. Pupil responses were examined during a lexical decision task (LDT). We sought to show that exposure to math-related stimuli would cause arousal of the sympathetic system leading to an increase in pupil dilation, similar to that caused by exposure to negative stimuli. Results: pupillary responses were sensitive to words with emotional valence; exposure to math-related words led to increased pupil dilation compared to neutral words; exposure to words with negative valence led to increased pupil dilation compared to neutral words; exposure to math-related words and words with negative valence led to similar pupil dilation. The study concludes math-related textual stimuli lead to increased pupil dilation, similar to negative affective valence textual stimuli. CONCLUSION: These findings create new possibilities for studying the cognitive and emotional effort required to process math-related information using pupillary response, with implications for researchers, educators, and leaders in the field.

The numerical distance effect is task dependent.

Number comparison tasks produce a distance effect e.g., Moyer & Landauer (Nature 215: 1519-1520, 1967). It has been suggested that this effect supports the existence of semantic mental representations of numbers. In a matching task, a distance effect also appears, which suggests that the effect has an automatic semantic component. Recently, Cohen (Psychonomic Bulletin & Review 16: 332-336, 2009) suggested that in both automatic and intentional tasks, the distance effect might reflect not a semantic number representation, but a physical similarity between digits. The present article (1) compares the distance effect in the automatic matching task with that in the intentional number comparison task and suggests that, in the latter, the distance effect does include an additional semantic component; and (2) indicates that the distance effect in the standard automatic matching task is questionable and that its appearance in previous matching tasks was based on the specific analysis and design that were applied.

Numbers (but not words) make math anxious individuals sweat: Physiological evidence.

The study aimed to determine the specificity of math anxiety by measuring physiological arousal to the presentation of numerical and non-numerical stimuli. It also investigated whether math and trait anxieties share similar behavioral and physiological manifestations. Fifty-two female university students performed an experimental task including simple or complex arithmetical equations and math-related or neutral words. Participants' electrodermal activity (skin conductance response) was monitored during the task. Math and trait anxieties were measured using common explicit questionnaires. Results showed math anxiety levels were significantly related to physiological arousal during the performance of complex numerical tasks. Importantly, math anxiety significantly mediated the links between trait anxiety and physiological arousal in complex numerical tasks. The findings support previous work finding relations between math and trait anxieties, but also show math anxiety is a unique phenomenon with specific behavioral and physiological manifestations, especially during the processing of complex numerical information.

Math Anxiety Is Related to Math Difficulties and Composed of Emotion Regulation and Anxiety Predisposition: A Network Analysis Study.

Current evidence suggests emotion regulation is an important factor in both math anxiety and math performance, but the interplay between these constructs is unexamined. Given the multicomponent structure of math anxiety, emotion regulation, and math performance, here, we aimed to provide a comprehensive model of the underlying nature of the links between these latent variables. Using the innovative network analysis approach, the study visualized the underlying links between directly observable and measurable variables that might be masked by traditional statistical approaches. One hundred and seventeen adults completed a battery of tests and questionnaires on math anxiety, emotion regulation, and math performance. The results revealed: (1) state math anxiety (the emotional experience in math-related situations), rather than trait math anxiety, was linked to anxiety predisposition, subjective valence of math information, and difficulties in emotion regulation; (2) the link between state math anxiety and math performance partialed out the link between trait math anxiety and performance. The study innovatively demonstrates the need to differentiate between traits and tendencies to the actual emotional experience and emotion regulation used in math anxiety. The results have important implications for the theoretical understanding of math anxiety and future discussions and work in the field.

Females' negative affective valence to math-related words.

Emotional perceptions of math-related information can have profound effects on attitudes about math, which, in turn, may lead to decreased math achievements. A large body of research has documented that females have less positive attitudes and more negative affectivity to math than males. This study examined emotional valence ratings of math-related verbal stimuli among adults and performed a pioneering investigation of gender differences in emotional perceptions. A random sample of 290 adults completed a battery of online affect questionnaires designated to measure the relations of various math-related words to the field of mathematics (i.e., math loading) and compared the emotional valence of these words to words known to have negative and neutral valence. Results revealed that: (1) math-related words were rated as less threatening than words with negative valence, but more threatening than neutral words; (2) math loading ratings were the strongest and most significant predictor of the emotional valence ratings of math-related words; and (3) females rated math-related words and words with negative, but not neutral, valence as more threatening than males. The study concludes that negative affective valence is linked with math-related information, especially among females, and this finding has implications for researchers, parents, and educators.

Developmental dyscalculia: heterogeneity might not mean different mechanisms.

Research indicates that developmental dyscalculia (DD; a mathematical deficiency) involves a single brain area abnormality - in the intraparietal sulcus. This is surprising because, (i) the behavioural deficits are heterogeneous, (ii) multiple problems are most common in most cases (co-morbidity) and (iii) different aspects of intact number processing are represented in different brain areas. Hence, progress in the study of DD might be limited by conceptual issues. This work looks at biological and cognitive findings within DD and delineates frameworks for studying the neurocognitive basis of DD. We offer three alternative frameworks. These proposed frameworks have the potential of facilitating future discussions, work in the field and have implications for studies of similar disorders like dyslexia and attention-deficit/hyperactivity disorder.

Mathematics anxiety in children with developmental dyscalculia.

BACKGROUND: Math anxiety, defined as a negative affective response to mathematics, is known to have deleterious effects on math performance in the general population. However, the assumption that math anxiety is directly related to math performance, has not yet been validated. Thus, our primary objective was to investigate the effects of math anxiety on numerical processing in children with specific deficits in the acquisition of math skills (Developmental Dyscalculia; DD) by using a novel affective priming task as an indirect measure. METHODS: Participants (12 children with DD and 11 typically-developing peers) completed a novel priming task in which an arithmetic equation was preceded by one of four types of priming words (positive, neutral, negative or related to mathematics). Children were required to indicate whether the equation (simple math facts based on addition, subtraction, multiplication or division) was true or false. Typically, people respond to target stimuli more quickly after presentation of an affectively-related prime than after one that is unrelated affectively. RESULT: Participants with DD responded faster to targets that were preceded by both negative primes and math-related primes. A reversed pattern was present in the control group. CONCLUSION: These results reveal a direct link between emotions, arithmetic and low achievement in math. It is also suggested that arithmetic-affective priming might be used as an indirect measure of math anxiety.