Disentangling the individual and contextual effects of math anxiety: A global perspective.

Math anxiety is a common affective disorder in students that is characterized by intrusive thoughts that disrupt critical cognitive resources required for math problem-solving. Consistent associations between math anxiety and math achievement have been observed across countries and age groups, placing math anxiety among other important correlates of math achievement, such as socioeconomic status and magnitude representation ability. However, studies examining math anxiety's relation to achievement have largely focused on the effect of students' own math anxiety (individual effect), while little is known regarding the effect of math anxiety in students' educational context (contextual effect). Using three international studies of achievement (n = 1,175,515), we estimated both the individual and contextual effects of math anxiety across the globe. Results suggest that while there are consistent individual effects in virtually all countries examined, the contextual effects are varied, with only approximately half of the countries exhibiting a contextual effect. Additionally, we reveal that teacher confidence in teaching math is associated with a reduction of the individual effect, and country's level of uncertainty avoidance is related to a lessening of the contextual effect. Finally, we uncovered multiple predictors of math anxiety; notably, student perception of teacher competence was negative related with math anxiety, and parental homework involvement was positively related with math anxiety. Taken together, these results suggest that there are significant between-country differences in how math anxiety may be related with math achievement and suggest that education and cultural contexts as important considerations in understanding math anxiety's effects on achievement.

Impacts of number lines and circle visual displays on caregivers' fraction understanding.

Playful fraction picture books, together with math instructional content called "back matter," may promote fraction learning, which is crucial because fractions are difficult and often disliked content. However, open questions remain regarding how different types of back matter may affect caregivers' ability to use fraction picture books as a teaching tool. The current study offers a novel investigation into how back matter affects caregivers' (N = 160) fraction understanding (i.e., equivalence and arithmetic) and subjective beliefs about math using a pretest/posttest design. We contrasted existing back matter text with research-informed back matter text crossed with either circle area or number line visual displays. Caregivers' performance improved from pretest to posttest in the Researcher-Generated + Circles condition (fraction equivalence) and in the Existing + Circles, Researcher-Generated + Circles, and Researcher-Generated + Number Lines conditions (fraction arithmetic). In addition, caregivers were aware of their learning; they predicted improvements in their fraction arithmetic performance over time. These findings suggest that brief interventions, such as back matter in children's picture books, may improve adults' fraction understanding.

The interplay between ego-resiliency, math anxiety and working memory in math achievement.

Previous research has suggested that math anxiety may contribute to poor math performance by interfering with working memory. However, only a limited number of studies investigated the mediating role of working memory in the math anxiety-math performance link in school-aged children. Unlike math anxiety, ego-resiliency is a personality resource that promotes the management of challenges and has been positively associated with math performance and negatively with anxiety. Nevertheless, there is still limited understanding regarding the specific role of ego-resiliency in math learning and how it relates to math anxiety. This study aimed to investigate conjunctly the interplay between primary school children's ego-resiliency, math anxiety, working memory, and performance on two different math tasks (i.e., arithmetic task and word problem-solving task), after controlling for general anxiety and age. The study involved 185 Italian children from grades 3 to 5. Serial multi-mediational analyses revealed that: (1) ego-resiliency has a positive indirect effect on math achievement through two paths - math anxiety, and math anxiety and working memory; (2) the study replicated previous findings showing that working memory partially mediated the relationship between math anxiety and math performance; (3) similar patterns of results were found for both math skills. The study identifies ego-resiliency as a possible protective factor in the development of math anxiety and suggests that ego-resiliency could be worth considering when designing interventions aimed at reducing negative emotions towards mathematics.

The relationship between numerical magnitude processing and math anxiety, and their joint effect on adult math performance, varied by indicators of numerical tasks.

According to the hypothesis of Maloney et al. (Cognition 114(2):293-297, 2010. https://doi.org/10.1016/j.cognition.2009.09.013), math anxiety is related to deficits in numerical magnitude processing, which in turn compromises the development of advanced math skills. Because previous studies on this topic are contradictory, which may be due to methodological differences in the measurement of numerical magnitude processing, we tested Maloney et al.'s hypothesis using different tasks and their indicators: numerical magnitude processing (symbolic and non-symbolic comparison tasks: accuracy, reaction time, numerical ratio, distance and size effects, and Weber fraction; number line estimation task: estimation error), math anxiety (combined scores of learning, testing, math problem solving, and general math anxiety), and math performance. The results of our study conducted on 119 young adults mostly support the hypothesis proposed by Maloney et al. that deficiency in symbolic magnitude processing is related to math anxiety, but the relationship between non-symbolic processes and math anxiety was opposite to the assumptions. Moreover, the results indicate that estimation processes (but not comparison processes) and math anxiety are related to math performance in adults. Finally, high math anxiety moderated the relationship between reaction time in the symbolic comparison task, reaction time in the non-symbolic comparison task, numerical ratio effect in the symbolic comparison task, and math performance. Because the results of the joint effect of numerical magnitude processing and math anxiety on math performance were inconsistent, this part of the hypothesis is called into question.

Math anxiety and the shifting function: An event-related potential study of arithmetic task switching.

Why is math anxiety usually related to less efficient math processing? According to attentional control theory, anxiety leads to reduced attentional control, which often entails a greater investment of resources (e.g., more time or effort) to carry out a cognitive task. The executive functions mainly affected by anxiety are inhibition and shifting. Previous studies suggest that math anxiety may impair the inhibitory function. In the present study, the relationship between math anxiety and shifting efficiency when switching between two-digit additions and subtractions was examined. Twenty highly math-anxious and 20 low math-anxious individuals participated in an event-related potential (ERP) transition-cueing experiment. Math anxiety was expected to delay the shifting process, leading to a larger switch cost in response time and no centroparietal cue-locked switch-specific positivity registered in the electroencephalogram during the cue-target interval. Highly math-anxious individuals showed a larger switch cost than their low math-anxious peers. Asymmetrical switch effects between operations in response time were found in both groups, which might be due to larger sequential difficulty effects after subtractions than after additions. The cue-locked switch-specific positivity was present only in the low math-anxious group. The present results suggest that highly math-anxious individuals take longer to shift task sets. Additionally, the highly math-anxious group showed a more positive frontal P2 after the cue that announced a switch to subtraction, probably indicating stronger attentional capture by this cue, because the most threatening condition is anticipated. Taken together, these data suggest that math anxiety also impairs attentional control when switching between arithmetic tasks.

What does gender has to do with math? Complex questions require complex answers.

Whether mathematics is a gendered domain or not is a long-lasting issue bringing along major social and educational implications. The females' underrepresentation in science, technology, engineering, and mathematics (STEM) has been considered one of the key signs of the math gender gap, although the current view largely attributes the origin of this phenomenon to sociocultural factors. Indeed, recent approaches to math gender differences reached the universal conclusion that nature and nurture exert reciprocal effects on each other, establishing the need for approaching the study of the math gender issue only once its intrinsic complexity has been accepted. Building upon a flourishing literature, this review provides an updated synthesis of the evidence for math gender equality at the start, and for math gender inequality on the go, challenging the role of biological factors. In particular, by combining recent findings from different research areas, the paper discusses the persistence of the "math male myth" and the associated "female are not good at math myth," drawing attention to the complex interplay of social and cultural forces that support such stereotypes. The suggestion is made that longevity of these myths results from the additive effects of two independent cognitive biases associated with gender stereotypes and with math stereotypes, respectively. Scholars' responsibility in amplifying these myths by pursuing some catching lines of research is also discussed.

Does my daughter like math? Relations between parent and child math attitudes and beliefs.

As early as age six, girls report higher math anxiety than boys, and children of both genders begin to endorse the stereotype that males are better at math than females. However, very few studies have examined the emergence of math attitudes in childhood, or the role parents may play in their transmission. The present study is the first to investigate the concordance of multiple implicit and explicit math attitudes and beliefs between 6- and 10-year-old children and their parents. Data from implicit association tasks (IATs) reveal that both parents and their children have implicit associations between math and difficulty, but only parents significantly associated math with males. Notably, males (fathers and sons) were more likely than females (mothers and daughters) to identify as someone who likes math (instead of reading), suggesting gender differences in academic preferences emerge early and remain consistent throughout adulthood. Critically, we provide the first evidence that both mothers' and fathers' attitudes about math relate to a range of math attitudes and beliefs held by their children, particularly their daughters. Results suggest that girls may be especially sensitive to parental math attitudes and beliefs. Together, data indicate that children entering formal school already show some negative math attitudes and beliefs and that parents' math attitudes may have a disproportionate impact on young girls.

The relationship between math anxiety and math performance: The moderating role of visuospatial working memory.

According to the processing efficiency theory (PET), math anxiety would interfere with working memory resources, negatively affecting mathematical abilities. To date, few studies have explored how the interaction between math anxiety and working memory would affect different types of math tasks, especially in primary school children. Therefore, the purpose of this study was to explore whether the interplay between math anxiety and working memory would influence performance in numerical operations (i.e., math fluency task) and mathematical reasoning (i.e., math reasoning task) in a group of primary school children (N = 202). Results showed that visuospatial working memory appeared to moderate the relationship between math anxiety and math performance when the math fluency task was considered, indicating that participants with higher levels of working memory were more negatively affected by math anxiety. No interaction effect was found for the math reasoning task in which students' scores were explained only by visuospatial working memory. The findings suggest that math anxiety and visuospatial working memory interact to influence performance in the math fluency task and that this effect may vary depending on the strategies used to complete the task. On the other hand, results on the math reasoning task showed that visuospatial working memory continues to have a positive effect on the math performance independently of math anxiety. The implications in the educational setting are discussed, pointing to the importance of monitoring and intervention studies on affective factors.

Peer network in math anxiety: A longitudinal social network approach.

Regardless of age, math anxiety (i.e., adverse affective reactions in situations involving math) is associated with lower math achievement. Previous studies have investigated the role of adult figures (e.g., parents, teachers) in the development of children's math anxiety. However, given the importance of peer relationships during adolescence, we examined friendship selection and social influence on children's math anxiety using longitudinal peer network analyses. Throughout the academic semester, we found that children became more similar to their peers in math anxiety levels but did not form new peer networks based on their levels of math anxiety. These findings highlight the importance of peers' emotional reactions to math, which could influence future academic achievement and career aspirations considerably.

Symbolic number ordering strategies and math anxiety.

Math anxiety results in a drop in performance on various math-related tasks, including the symbolic number ordering task in which participants decide whether a triplet of digits is presented in order (e.g. 3-5-7) or not (e.g. 3-7-5). We investigated whether the strategy repertoire and reaction times during a symbolic ordering task were affected by math anxiety. In study 1, participants performed an untimed symbolic number ordering task and indicated the strategy they used on a trial-by-trial basis. The use of the memory retrieval strategy, based on the immediate recognition of the triplet, decreased with high math anxiety, but disappeared when controlling for general anxiety. In the study 2, participants completed a timed version of the number order task. High math-anxious participants used the decomposition strategy (e.g. 5 is larger than 3 and 7 is larger than 5 to decide whether 3-5-7 is in the correct order) more often, and were slower in responding when both memory- and other decomposition strategies were used. Altogether, both studies demonstrate that high-math anxious participants are not only slower to decide whether a number triplet is in the correct order, but also rely more on procedural strategies.

The Relationship Between Math Anxiety and Math Achievement: Differentiating the Role of Learning Math Anxiety and Math Evaluation Anxiety.

BACKGROUND: Math anxiety (MA) is considered one of the variables that cause poor performance in contexts where mathematical competence is required. SUBJECTS AND METHODS: The survey involved 28 Italian students in the first year of secondary school (corresponding to grade nine of English-speaking schools and of the Italian INVALSI evaluation system). The students, examined at the beginning of the school year, scored below the threshold of sufficiency in the calculation skills assessment test. This data analysis takes into consideration the development of their math performance; the hypothesis is that the level of MA may differentiate students who are able or not able to achieve the competencies expected by the course of study. RESULTS: Students who transitioned from an inadequate score to a sufficient one over the school year, exhibited significantly lower levels of MA compared to students who did not score sufficient on the math test at the end of the year. However, the significant difference primarily pertained to the "learning math" subscale, while the "math evaluation" subscale showed no significant differences between the two groups. CONCLUSIONS: Our results suggest the possibility of using the assessment of MA levels to identify the presence and type of emotional difficulties associated with the study of mathematics. Specifically, in individuals with difficulties in learning mathematics, the presence of a dissociation between the two AMAS subscales could suggest different approaches to educational intervention.

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.

Parents' math anxiety and mathematics performance of pre-kindergarten children.

Prior research demonstrates that individuals' math anxiety may be negatively related to their mathematics performance. However, little research has examined how caregivers' math anxiety is associated with children's mathematics performance prior to kindergarten. The purpose of this study was to investigate the relation between parents' math anxiety and the change in children's mathematics performance during the preschool year. Participants were 310 preschool-age children (155 female; 4.12-5.78 years of age, M = 5.20 years, SD = 0.29). Structural equation modeling results demonstrated that parents' math anxiety was significantly negatively related to change in children's mathematics performance during the pre-kindergarten year when controlling for fall mathematics performance and demographics. Moreover, multigroup path analyses revealed that this association did not differ for male versus female children.

Elementary school teachers' math anxiety and students' math learning: A large-scale replication.

A solid foundation in math is important for children's long-term academic success. Many factors influence children's math learning-including the math content students are taught in school, the quality of their instruction, and the math attitudes of students' teachers. Using a large and diverse sample of first-grade students (n = 551), we conducted a large-scale replication of a previous study (Proceedings of the National Academy of Sciences of the USA, 2010, 1860; n = 117), which found that girls in classes with highly math anxious teachers learned less math during the school year, as compared to girls whose math teachers were less anxious about math. With a larger sample, we found a negative relation between teachers' math anxiety and students' math achievement for both girls and boys, even after accounting for teachers' math ability and children's beginning of year math knowledge, replicating and extending those previous results. Our findings strengthen the support for the hypothesis that teachers' math anxiety is one factor that undermines children's math learning and could push students off-track during their initial exposure to math in early elementary school.

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.

When beliefs matter most: Examining children's math achievement in the context of parental math anxiety.

A growing body of research suggests that parents' beliefs about and attitudes toward math predict their young children's math skills. However, limited research has examined these factors in conjunction with one another or explored potential mechanisms underlying these associations. In a sample of 114 preschool-aged children and their parents, we examined how parents' beliefs about math and math anxiety together relate to children's math achievement and how parents' practices to support math might explain these associations. We used a range of measures of parental math input, including survey measures of the home numeracy environment as well as observations of number talk. Parents with stronger beliefs about the importance of math tended to have children with more advanced math skills, and parents with math anxiety tended to exacerbate the effects of these beliefs such that children whose math-anxious parents held strong beliefs about math's importance performed best. Furthermore, we found some evidence that parents' math practices may relate to this interaction or to children's math skills, but no single measure of math input mediated the effect of the interaction between parental math anxiety and parental math beliefs on children's math outcomes. Thus, parents' math anxiety differentially relates to children's math performance depending on parents' beliefs about math, but future research is needed to uncover the specific mechanisms through which these processes operate.

Math anxiety and executive function: Neural influences of task switching on arithmetic processing.

Math anxiety (MA) is associated with negative thoughts and emotions when encountering mathematics, often resulting in under-performance on math tasks. One hypothesized mechanism by which MA affects performance is through anxiety-related increases in working memory (WM) load, diverting resources away from mathematical computations. We examined whether this effect is specific to WM or whether the impact of MA extends to an overall depletion of executive function (EF) resources. In this fMRI experiment, we manipulated two separate factors known to impact EF demands-task-switching (TS) and increased WM load-in order to evaluate how MA relates to behavioral performance and neural activity related to mathematical calculations. Relative to a difficult non-math task (analogies), we observed MA-related deficits in math performance and reduced neural activity in a network of regions in the brain associated with arithmetic processing. In response to TS demands, higher levels of math anxiety were associated with a pattern of avoidance and disengagement. When switching from the control task, high math anxiety (HMA) was associated with disengagement from math trials, speeding through these trials, and exhibiting reduced neural activity in regions associated with arithmetic processing. The effects of math anxiety and WM were most pronounced at the lowest levels of WM load. Overall, the results of this study indicate that the effects of MA are broader than previously demonstrated and provide further insight into how EF deficits in MA might impact recruitment of neural resources that are important for successful math computations.

Math anxiety and math achievement: The effects of emotional and math strategy training.

Math anxiety (MA) is a specific feeling of tension generated by the manipulation of numerical stimuli in daily life and academic situations (Richardson & Suinn, 1972). This condition has significant repercussions on the individual's life at personal, social, and economic level. Literature on the topic of MA alleviation, however, is still scarce. This study aims at contributing to this field by addressing MA prevention in school-age children. We have developed two different training methods administered to two groups of fourth graders: (a) MA training focusing on identifying and copying with MA-related feelings (N = 76); and (b) Math strategy training focusing on supplementary exercises to enhance calculation strategies (N = 76). We also carried out a Control training involving a range of activities, such as reading comic strips, describing characters in the story, and combining text and images to obtain an original narrative text (N = 72). We evaluated the differential effects of these training methods on MA, general anxiety, and math achievement before and after the training. Results indicate that MA training contributes to a decrease in MA level, although it does not appear to affect math achievement; Math strategy training, on the other hand, results in far transfer on a reduction of MA level as well as near transfer on the improvement of math achievement. Data are discussed in terms of specific mechanisms underlying each type of training method, and with specific focus on the evaluation of educational and developmental opportunities linked to MA prevention and improvement of math abilities in school-age children.

Etiological Distinction Across Dimensions of Math Anxiety.

Analyses have suggested math anxiety is a multidimensional construct. However, previous behavioral genetic work examining math anxiety was unidimensional. Thus, the purpose of the present study was to examine different approaches for specifying behavioral genetic models of math anxiety as a multidimensional construct. Three models were compared: a unidimensional model, a three dimension multidimensional model, and a bi-factor model, which partitioned variance into one common factor shared across three dimensions of math anxiety and examined residual variance in each dimension. The best fitting model was a bi-factor AE model, which suggested moderate heritability of general math anxiety and that each dimension of math anxiety had unique etiological influences not accounted for by shared variance with the general math anxiety factor. Thus, while there was evidence of shared etiology, there was also evidence of some etiological distinction across dimensions of math anxiety. The results demonstrate the importance of taking into account the dimensionality of the scale when interpreting similarity across twins.

Do implicitly measured math-anxiety associations play a role in math behavior?

The current study examined the role of implicitly measured associations (henceforth referred to as associations) between math and anxiety in adolescents' math anxiety. Previous research has shown that associations predicted behavior independent of explicit measures. In this study, it was investigated whether math-anxiety associations would be related to math anxiety and whether they predicted math behavior as well as state math anxiety independent of explicitly measured math anxiety. In addition, the domain specificity of math-anxiety associations for predicting math behavior was investigated. Adolescents' anxiety associations and self-reported anxiety were assessed for three domains: math anxiety, foreign language (English) anxiety, and trait anxiety. A sample of 189 secondary school students performed three single-target implicit association tests, performed a math problem solving task, and filled out questionnaires. Overall, adolescents showed stronger math-anxiety associations in comparison with math-calmness associations. In contrast to our hypotheses, math-anxiety associations were not related and did not uniquely or specifically predict math behavior and state math anxiety. Explicit anxiety measures demonstrated specificity in predicting math and English grades as well as state math anxiety. The innovative aspects of this study are the investigation of implicitly measured math-anxiety associations and the relation to math anxiety and math behavior. Further research is needed to develop tasks that are better able to capture the most relevant math-threat associations and to investigate which math behavior might be most strongly influenced by these associations.