Math anxiety (MA) has been suggested to decrease the math performance of students. However, it remains unclear what factors moderate this relationship. The purpose of this study was to analyze the link between MA and math performance. Studies that explored the relationship between MA and math performance, conducted from 2000 to 2019 (84 samples, N = 8680), were identified and statistically integrated with a meta-analysis method. The results indicated a robust negative correlation between MA and math performance. Furthermore, regarding the (...) analysis of moderator variables, this negative link was stronger in the studies that involved Asian students, whereas it was the weakest in the studies that involved European students. Moreover, this negative link was stronger in the studies within a senior high school group, whereas it was the weakest in the studies within an elementary group. Finally, this negative link was strongest among studies that used a custom test and studies that assessed problem-solving skills. Potential explanations and implications for research and practice are discussed. (shrink)

ABSTRACTAdults use a variety of strategies to reason about fraction magnitudes, and this variability is adaptive. In two studies, we examined the relationships between mathematics anxiety, working memory, strategy variability and performance on two fraction tasks: fraction magnitude comparison and estimation. Adults with higher mathematics anxiety had lower accuracy on the comparison task and greater percentage absolute error on the estimation task. Unexpectedly, mathematics anxiety was not related to variable strategy use. However, variable strategy use was linked to more accurate (...) magnitude comparisons, especially among adults with lower working memory performance or those who use mathematics less frequently, as well as lower PAE on the estimation task. These findings shed light on the role of strategy variability in fraction problem solving and demonstrate a link between mathematics anxiety and fraction magnitude reasoning, a key predictor of general mathematics achievement. (shrink)

Many studies have indicated that mathematics anxiety, and other negative attitudes and emotions toward mathematics, are pervasive and are associated with lower mathematical performance. Some previous research has suggested that working memory is related to both mathematics anxiety and mathematics. Moreover, both gender and chosen course of study appeared likely to influence students’ attitudes to mathematics. In the present study, 40 university undergraduates completed a battery of assessments investigating working memory, attitude to mathematics, test anxiety. and mental and written arithmetic. (...) Attitudes to mathematics were significantly associated with the other variables: working memory, test anxiety, and both measures of mathematical performance. The other variables were not strongly associated with one another. There were no gender differences in mathematical performance, but females exhibited more negative attitudes to mathematics and higher test anxiety than males. After controlling for test anxiety, there ceased to be significant gender differences in attitudes to mathematics. Science students had more positive attitudes to mathematics than humanities students, but the groups did not differ in test anxiety, Science students were better at written but not mental arithmetic. They were also better at working memory, but this was not a significant covariate when the groups were compared on mathematical performance and attitudes to mathematics The results are discussed, with particular focus on implications for future research on influences on mathematics anxiety. (shrink)

It is well-documented that mathematics achievement is an important predictor of many positive life outcomes like college graduation, career opportunities, salary, and even citizenship. As such, it is important for researchers and educators to help students succeed in mathematics. Although there are undoubtedly many factors that contribute to students' success in mathematics, much of the research and intervention development has focused on variations in instructional techniques. Indeed, even a cursory glance at many educational journals and granting agencies reveals that there (...) is a large amount of time, energy, and resources being spent on determining the best way to convey information through direct, declarative instruction. The proposed project is motivated by recent calls to expand the focus of research in mathematics education beyond direct, declarative instruction. The overarching goal of the presented experiment is to evaluate the efficacy of a novel mathematics intervention designed using principles taken from the literature on non-declarative learning. The intervention combines errorless learning and structured cue fading to help second grade students improve their understanding of symbolic magnitude. Results indicate that students who learned about symbolic magnitude using the novel intervention did better than students who were provided with extensive declarative support. These findings offer preliminary evidence in favor of using learning combination of errorless learning and cue fading techniques in the mathematics classroom. (shrink)

In this study, we tested a possible mechanism of the association between math anxiety and math achievement: the mediating role of math-specific grit. In Study 1, a sample of 10th grade students completed a battery of personality and attitude questionnaires, and math achievement was indexed by curriculum-based examination scores. Mediation analyses indicated that math-specific grit, but not domain-general grit, mediated the relationship between math anxiety and math achievement. In Study 2, we replicated and extended the above findings with another sample (...) of 11th grade students. Mediation analyses indicated that math-specific grit and math-specific procrastination played sequential mediating roles in the relationship between math anxiety and math achievement. That is, individuals with higher math anxiety were less gritty in math learning, possibly further leading them to be more procrastinated in performing math work, which may finally result in worse math achievement. In summary, the current study provides the first evidence that math-specific grit may mediate the relationship between math anxiety and math achievement. Furthermore, it also demonstrated the value of math-specific grit over domain-general grit in predicting math success, which invites a broader investigation on subject-specific grit. (shrink)

This study presents the evaluation of a computer-based learning program for children with developmental dyscalculia and focuses on factors affecting individual responsiveness. The adaptive training program Calcularis 2.0 has been developed according to current neuro-cognitive theory of numerical cognition. It aims to automatize number representations, supports the formation and access to the mental number line and trains arithmetic operations as well as arithmetic fact knowledge in expanding number ranges. Sixty-seven children with developmental dyscalculia from second to fifth grade (mean age (...) 8.96 years) were randomly assigned to one of two groups (Calcularis group, waiting control group). Training duration comprised a minimum of 42 training sessions à 20 minutes within a maximum period of 13 weeks. Compared to the waiting control group, children of the Calcularis group demonstrated a higher benefit in arithmetic operations and number line estimation. These improvements were shown to be stable after a 3-months post training interval. In addition, this study examines which predictors accounted for training improvements. Results indicate that this self-directed training was especially beneficial for children with low math anxiety scores and without an additional reading and/or spelling disorder. In conclusion, Calcularis 2.0 supports children with developmental dyscalculia to improve their arithmetical abilities and their mental number line representation. However, it is relevant to further adapt the setting to the individual circumstances. (shrink)

(2009). How automatic is “automatic vigilance”? The role of working memory in attentional interference of negative information. Cognition & Emotion: Vol. 23, No. 6, pp. 1106-1117.

Every university student has his or her nemesis. Biology and social science students anticipate with great apprehension their required statistics course, while many philosophy students live in fear of formal logic. Math anxiety is the common thread uniting all of them. This article argues that since formal logic is an algebra requiring similar kinds of symbol-manipulation skills needed to succeed in a basic mathematics course, then if logic students have math anxiety, this can impede their progress. Further, it argues that (...) math anxiety is primarily caused by and exacerbated by poor instruction. Formal logic instructors who employ effective instructional techniques for reducing it can help their students overcome math anxiety to foster learning. Methods of instruction leading to anxiety reduction and evidence supporting their efficacy are discussed, including co-operative learning, the mastery goal approach, and self-paced learning. None of these methods holds back more advanced students. (shrink)

I have a painfully vivid memory of performing the Venezuelan choreographer Vincente Nebrada’s ballet Pentimento.After graduating from high school at age 15 and before entering college, I spent a number of years working as a professional ballet dancer with North Carolina Dance Theatre , among other companies. I was a new member of North Carolina Dance Theatre, and although the company had presented the piece on a number of occasions, this was the first time the director was watching from the (...) audience rather than the wings. In the middle of a pas de deux, I choked big time and blanked out on the choreography; try as I may, I could not remember a single step. My partner, who had been with the company for years, knew what was going on and manipulated my limbs until something clicked and I was able to find the choreography again. Following the performance, when we gathered onstage for notes, the director was so appalled that the only comme .. (shrink)

Behavioural spillovers refer to the influence that a given intervention targeting behaviour 1 exerts on a subsequent, non-targeted, behaviour 2, which may or may not be in the same domain (health, finance etc.) as one another. So, a nudge to exercise more, for example, could lead people to eat more or less, or possibly even to give more or less to charity depending on the nature of the spillover. But what if spillovers also operate backwards; that is, if the expectation (...) of behaviour 1 influences behaviour 0 that precedes it? For example, a person may form an intention to exercise prompted by a policy intervention but overeat at present as a result. We define such a possibility as a "spillunder". In the proposed article, we critically review the few papers that we have identified through a narrative literature review which have demonstrated spillunder effects to date, and we propose a conceptual framework. Based on evidence about the human mind and behaviour from psychology and economics, we argue that spillunder effects may be more common than the limited empirical findings suggest. We propose six representative mechanisms through which the prospect of behaviour 1 may impact behaviour 0: executive functions, moral licensing and moral cleansing, emotion regulation, energization, construal level, and savouring and dread. We further discuss the policy and practical implications of spillunder effects and examine methodological issues that need to be considered when empirically testing these effects. As with our earlier paper on spillovers, we aim to motivate other behavioural scientists to research behavioural spillunders more systematically and extensively, and to prompt decision makers to consider these effects when designing behavioural interventions. (shrink)

The results of some high-stakes aptitude tests in Austria have revealed sex differences. We suggest that such discrepancies are mediated not principally by differences in aptitudes, skills, and knowledge but gender differences in test takers’ perceptions of the test situation. Furthermore, previous research has indicated that candidates’ evaluations of the fairness of the testing tool are of great importance from an institutional point of view because such perceptions are known to influence an organization’s attractiveness. In this study, we aimed to (...) investigate how women and men perceive and evaluate certain aspects of a high-stakes test situation by using the results and evaluations of an actual medical school aptitude test (753 applicants; 59% women). Test takers voluntarily evaluated the test situation and rated specific aspects of it (e.g., the fairness of the selection tool) and provided information regarding their test anxiety immediately after they completed the 4-hour test. Data analyses indicated small, albeit significant sex differences in participants’ perceptions of the test. Men described the test situation as slightly giving more opportunity to socialize and possessing more opportunity to deceive than women did. Furthermore, the perception of the test situation did not directly predict the test results, but it served as a moderator for the indirect effect of test anxiety on test results. By contrast, there were significant direct effects but no indirect effects of situation perception on evaluations of the fairness of the selection tool: The more the test situation was perceived as a high-pressure situation, the lower the fairness ratings of the testing tool. Results were discussed with reference to gender roles and test fairness. (shrink)

This study aimed to investigate whether the ordinal judgments of high math-anxious and low math-anxious individuals differ. Two groups of 20 participants with extreme scores on the Shortened Mathematics Anxiety Rating Scale had to decide whether a triplet of numbers was presented in ascending order. Triplets could contain one-digit or two-digit numbers and be formed by consecutive numbers, numbers with a constant distance of two or three or numbers with variable distances between them. All these triplets were also presented unordered: (...) sequence order in these trials could be broken at the second or third number. A reverse distance effect of equal size was found in both anxiety groups. However, HMA participants made more judgment errors than their LMA peers when they judged one-digit counting ordered triplets. This effect was related to worse performance of HMA individuals on a symmetry span test and might be related to group differences on working memory. Importantly, HMAs were less accurate than LMA participants at rejecting unordered D2 sequences. This result is interpreted in terms of worse cognitive flexibility in HMA individuals. (shrink)

ABSTRACTPrevious research has outlined high anxiety in connection with gamma modulation, identifying that gamma-band activity correlates with processing of threat perception, attention...

ABSTRACTCurrent theoretical approaches suggest that mathematical anxiety manifests itself as a weakness in quantity manipulations. This study is the first to examine automatic versus intentional processing of numerical information using the numerical Stroop paradigm in participants with high MA. To manipulate anxiety levels, we combined the numerical Stroop task with an affective priming paradigm. We took a group of college students with high MA and compared their performance to a group of participants with low MA. Under low anxiety conditions, participants (...) with high MA showed relatively intact number processing abilities. However, under high anxiety conditions, participants with high MA showed higher processing of the non-numerical irrelevant information, which aligns with the theoretical view regarding deficits in selective attention in anxiety and an abnormal numerical distance effect. These results demonstrate that abnormal, basic numerical process... (shrink)

It is well established that math anxiety has a negative relationship with math performance. A few theories have provided explanations for this relationship. One of them, the Attentional Control Theory, suggests that anxiety can negatively impact the attentional control system and increase one's attention to threat-related stimuli. Within the ACT framework, the math anxiety —working memory relationship is argued to be critical for math performance. The present meta-analyses provides insights into the mechanisms of the MA—MP relation and the mediating role (...) of WM. Through database searches with pre-determined search strings, 1,346 unique articles were identified. After excluding non-relevant studies, data from 57 studies and 150 effect sizes were used for investigating the MA—MP correlation using a random-effects model. This resulted in a mean correlation of r = −0.168. The database search of WM as a mediator for the MA—MP relation revealed 15 effects sizes leading to a descriptive rather than a generalizable statistic, with a mean indirect effect size of −0.092. Overall, the results confirm the ACT theory, WM does play a significant role in the MA—MP relationship. (shrink)