Mathematics anxiety and number processing: The link between executive functions, cardinality, and ordinality.

One important factor that hampers children's learning of mathematics is math anxiety (MA). Still, the mechanisms by which MA affects performance remain debated. The current study investigated the relationship between MA, basic number processing abilities (i.e., cardinality and ordinality processing), and executive functions in school children enrolled in grades 4-7 (N = 127). Children were divided into a high math anxiety group (N = 29) and a low math anxiety group (N = 31) based on the lowest quartile and the highest quartile. Using a series of analyses of variances, we find that highly math-anxious students do not perform worse on cardinality processing tasks (i.e., digit comparison and non-symbolic number sense), but that they perform worse on numerical and non-numerical ordinality processing tasks. We demonstrate that children with high MA show poorer performance on a specific aspect of executive functions-shifting ability. Our models indicate that shifting ability is tied to performance on both the numerical and non-numerical ordinality processing tasks. A central factor seems to be the involvement of executive processes during ordinality judgements, and executive functions may constitute the driving force behind these delays in numerical competence in math-anxious children.

Not realizing that you don't know: Fraction state anxiety is reduced by natural number bias.

BACKGROUND: Research has shown that mathematics anxiety negatively correlates with primary school mathematics performance, including fraction knowledge. However, recently no significant correlation was found between fraction arithmetic performance and state anxiety measured after the fraction task. One possible explanation is the natural number bias (NNB), a tendency to apply natural number reasoning in fraction tasks, even when this is inappropriate. Students with the NNB may not realize they are answering incorrectly. AIMS: The aim is to examine whether a misconception, namely the NNB, can influence students' fraction state anxiety. SAMPLE: The participants were 119 fifth- and sixth-grade students categorized as belonging to an NNB group (n = 60) or a No-NNB group (n = 59), according to their NNB-related answering profile on a fraction arithmetic task. METHODS: Group differences were examined for state anxiety and performance on a fraction and a whole number arithmetic task and self-reported trait mathematics anxiety. RESULTS: The NNB group reported lower fraction state anxiety than the No-NNB group, but there was no significant difference in trait mathematics anxiety. Furthermore, the NNB group reported lower fraction state anxiety than whole number state anxiety, while the opposite was true for the No-NNB group. CONCLUSION: The present study suggests that students' perceptions of their own performance influence their state anxiety responses, and students with a NNB may not be aware of their misconception and poor performance. Not taking into account qualitative differences in low performance, such as misconceptions, may lead to misinterpretations in state anxiety-performance relations.

Longitudinal associations between parental mathematics anxiety and attitudes and young children's mathematics attainment.

The associations between parental mathematics anxiety and attitudes and children's mathematics attainment in early primary school were explored. Initially, parents of preschool children (Mage = 3;11 [years;months]) completed a questionnaire indexing parental mathematics anxiety and attitudes and the frequency of preschool home number experiences. The children completed mathematics assessments in their first year (n = 231, Mage = 5;2) and second year (n = 119, Mage = 6;3) of schooling and a mathematics anxiety questionnaire in their third year of schooling (n = 119, Mage = 6;7). A questionnaire indexing the frequency of primary school home number experiences was completed by 119 of the parents in their children's second year of schooling (Mage = 6;0). All indices of parental mathematics anxiety and attitudes predicted children's mathematics attainment in their first school year. These associations were independent of parental mathematics attainment and were not mediated by the frequency of preschool home number experiences. Furthermore, the positive association between preschool home number experiences and children's mathematics attainment was not weaker in the context of high parental mathematics anxiety or negative parental mathematics attitudes. One index of parental mathematics attitudes predicted children's mathematics attainment in their second school year, but this association was not significant when prior attainment was controlled. There was a stronger association between maternal mathematics anxiety and girls' attainment versus boys' attainment. Parental mathematics anxiety did not predict children's mathematics anxiety. The findings suggest that children whose parents have high mathematics anxiety or negative mathematics attitudes are more likely to have lower mathematics attainment in their first year of school. However, the mechanism underpinning this association is not yet established.

Sex Differences and Similarities in Relations Between Mathematics Achievement, Attitudes, and Anxiety: A Seventh-to-Ninth Grade Longitudinal Study.

There are consistent correlations between mathematics achievement, attitudes, and anxiety, but the longitudinal relations among these constructs are not well understood nor are sex differences in these relations. To address this gap, mathematics achievement, attitudes, and anxiety were longitudinally assessed for 342 (169 boys) adolescents from 7th to 9th grade, inclusive, and Latent Growth Curve Models were used to assess the relations among these traits and developmental change in them. Spatial abilities (7th, 8th grade) and trait anxiety (8th, 9th grade) were also assessed and used for control for sex differences in these traits. Overall, boys had stronger spatial abilities and more positive mathematics attitudes and were less anxious than girls, but there were no sex differences in mathematics achievement. Across grades, mathematics achievement improved, attitudes became less positive, and anxiety increased for both boys and girls. Higher than average cross-grade growth in mathematics achievement mitigated boys' developmental declines in mathematics attitudes and increases in anxiety. Girls with strong spatial abilities had lower mathematics anxiety, but girls overall maintained higher mathematics anxiety and less positive mathematics attitudes relative to boys, even when they showed strong cross-grade gains in mathematics achievement. The study demonstrated that longitudinal gains in mathematics are associated with cross-grade changes in attitudes and anxiety but with several different developmental patterns for boys and girls.

Emotions and mathematics: anxiety profiles and their influence on arithmetic performance in university students.

Mathematics anxiety (MA), general and test anxieties affect mathematics performance. However, little is known about how different anxiety profiles (i.e. individual configurations of anxiety forms) influence the relationship between MA and mathematics performance in university students. To the best of our knowledge, studies that have categorized participants based on their anxiety profiles and investigated how such groups differ in mathematics performance and other individual characteristics have all been conducted only with children and adolescents. Using latent profile analysis, we identified five different anxiety profiles in UK university students (N = 328) based on their MA, test anxiety (TA) and trait general anxiety levels (GA). Beyond extreme profiles (high or low levels in all forms of anxiety), we found groups characterized by more specific anxiety forms (MA profile, TA profile and high anxiety with low MA learning profile). These profiles were differentially related to arithmetic performance (but not the performance in a non-mathematics task), and individual factors (e.g. self-concept and self-efficacy). Results can inform the design of interventions tailored to individuals' unique anxiety profiles and highlight the necessity to further study the underpinning mechanisms that drive the MA developmental trajectory from childhood to adulthood.

Relationships of mathematics achievement with self-determined motivation and mathematics anxiety among senior two students in Northern Rwanda.

The most important factors affecting students' mathematics achievement are affective-motivational factors. Grounded on self-determination theory, expectancy-value theory, and control-value theory, we examined the relationship between self-determined motivation (i.e., intrinsic motivation and career motivation) and mathematics anxiety (cognitive and affective components) with mathematics achievement. The authors examined the proposed relations using cross-sectional data of senior two (grade eight) students in Northern Rwanda. Exploratory and confirmatory factor analyses of the subscales adapted from the Science Motivation Questionnaire (SMQ and SMQ-II) confirmed a two-factor structure for mathematics anxiety and a two-factor structure for self-determined motivation. The adapted subscales showed good internal consistency, convergent validity, and discriminant validity. Furthermore, the findings suggest that the adapted subscales can be used to assess intrinsic motivation, career motivation, and mathematics anxiety among Rwandan students in senior two. Based on the findings, mathematics anxiety is a two-dimensional construct comprising both cognitive and affective components, and these components differ in their relationship with mathematics achievement. Cognitive mathematics anxiety was negatively related to mathematics achievement more than affective mathematics anxiety; intrinsic motivation and career motivation were positively related to mathematics achievement. These findings suggest that teachers should promote more self-determined motivation among senior two students to improve their mathematics achievement. Additional longitudinal research is needed to determine whether the observed differential relationship patterns between mathematics anxiety components and mathematics achievement persist over time.

The influences of mindfulness on high-stakes mathematics test achievement of middle school students.

Research has shown that mindfulness can reduce students' negative emotions associated with high-stakes tests and thereby improve test performance. This study explored the association between mindfulness-based intervention (MBI) and high-risk math test scores of middle school students, which is noticeably slim in the domain of mathematics education, through a mediating process involving math-specific test anxiety and math self-efficacy. Using data from a sample of 45 students, age 12-13, we found empirical support for a significant positive correlation between mindfulness and middle school students' math achievement. Participants listened to a mindfulness audio every other week before a mathematics test. Weekly mathematics test scores, student group discussion data, and in-depth interview data were analyzed to explore how mindfulness affected students' mathematics test performance, which showed a statistically significant improvement after mindfulness compared to mathematics achievement without the intervention. Our results indicate that mindfulness can relieve mathematics anxiety symptoms, including physiological manifestations, test-unrelated thinking and worries, and problem-solving obstacles caused by mathematics anxiety. Also, mindfulness, especially its non-judgmental attitude, positively affects students' mathematical self-efficacy. The current research provides evidence of the mindfulness intervention's efficacy for improving middle school mathematics test performance but also identifies the complexities of implementing it with large numbers of students.

How growth mindset influences mathematics achievements: A study of Chinese middle school students.

Introduction: It has been suggested that students with growth mindsets are more likely to achieve better mathematics learning results than their counterparts with fixed mindsets. However, inconsistent and some even contradictory results have been reported in recent studies which examined the associations between growth mindset and mathematics achievements, suggesting the complexity regarding the effects of growth mindset on academic achievements. Methods: This study aims to examine students' growth mindsets, failure attributions, intrinsic motivation, mathematics self-efficacy, mathematics anxiety and mathematics achievements in one model to capture the sophisticated functioning processes of growth mindset. A total number of 266 middle school students in China participated in this study. Students' mindset and related variables (i.e.,motivations to learn mathematics, attributions of failure in mathematics, mathematics anxiety, mathematics self-efficacy) were measured at year 7, the first year of junior middle school in China. These students' mathematics learning outcomes were tracked from year 7 to year 9, the end of junior middle school. Structural equation modeling (SEM) was used to investigate the relations among students' growth mindsets, failure attributions, intrinsic motivation, mathematics self-efficacy, mathematics anxiety and mathematics achievements. Results: The results show that: (1) growth mindset doesn't directly predict mathematics achievements; (2) growth mindset indirectly influences mathematics achievements through intrinsic motivation; (3) failure attributions and mathematics self-efficacy sequentially mediate the association between growth mindset mathematics achievements; (4) failure attributions and mathematics anxiety sequentially mediate the relationship between growth mindset mathematics achievements. Discussion: The results of this study contribute a better understanding about how growth mindsets make impacts on middle school students' mathematics achievements. These findings have important implications for mathematics education in that we could not simply cultivate students' growth mindset in schools with expectations of higher mathematics learning outcomes. Instead, along with the growth mindset intervention, it is fundamental to make interventions on students' intrinsic motivation, failure attribution, mathematics self-efficacy, and mathematics anxiety in mathematics teaching and learning.

Mathematics difficulties are related to mathematics anxiety in children with epilepsy: An online study.

AIM: Children with epilepsy have an increased risk of difficulties with mathematics. Research into the mathematics difficulties of children with epilepsy, however, is limited. This study sought to determine whether the mathematics difficulties of children with epilepsy are related to mathematics anxiety over and above other previously identified factors (reading difficulties, generalized anxiety, and working memory). METHOD: Seventy-nine parents of children with epilepsy and 72 parents of typically developing children completed online questionnaires on their child's mathematics and reading difficulties (CLDQ; Colorado Learning Difficulties Questionnaire), mathematics anxiety (mAMAS; Modified Abbreviated Math Anxiety Scale), general anxiety (SCAS; Spence Child Anxiety Scale), and working memory (BRIEF-2; Brief Rating Inventory of Executive Function-2nd Edition). Questionnaires also collected demographic information and epilepsy variables. RESULTS: Children with epilepsy had higher scores on the CLDQ mathematics subscale (CLDQm) and the mAMAS compared to typically developing children. Younger age of epilepsy onset, higher seizure frequency, and a greater number of anti-seizure medications accounted for 20.4% of the variance on the CLDQm. The CLDQ reading subscale (CLDQr) justified an additional 14% of the variance on the CLDQm. Finally, the mAMAS explained 20.2% of the variance on the CLDQm, after controlling for epilepsy variables and CLDQr. In contrast, the BRIEF-2 and SCAS did not account for a significant amount of variance on the CLDQm. SIGNIFICANCE: Mathematics anxiety is the most significant contributor to mathematics difficulties experienced by children with epilepsy. Difficulties with reading and epilepsy factors also have significant, albeit smaller contributions to mathematics difficulties in this clinical population. Given the multiplicity of factors contributing to mathematics difficulties, a comprehensive, multidisciplinary treatment is needed.

Arithmetic operations without symbols are unimpaired in adults with math anxiety.

This study characterises a previously unstudied facet of a major causal model of math anxiety. The model posits that impaired "basic number abilities" can lead to math anxiety, but what constitutes a basic number ability remains underdefined. Previous work has raised the idea that our perceptual ability to represent quantities approximately without using symbols constitutes one of the basic number abilities. Indeed, several recent studies tested how participants with math anxiety estimate and compare non-symbolic quantities. However, little is known about how participants with math anxiety perform arithmetic operations (addition and subtraction) on non-symbolic quantities. This is an important question because poor arithmetic performance on symbolic numbers is one of the primary signatures of high math anxiety. To test the question, we recruited 92 participants and asked them to complete a math anxiety survey, two measures of working memory, a timed symbolic arithmetic test, and a non-symbolic "approximate arithmetic" task. We hypothesised that if impaired ability to perform operations was a potential causal factor to math anxiety, we should see relationships between math anxiety and both symbolic and approximate arithmetic. However, if math anxiety relates to precise or symbolic representation, only a relationship between math anxiety and symbolic arithmetic should appear. Our results show no relationship between math anxiety and the ability to perform operations with approximate quantities, suggesting that difficulties performing perceptually based arithmetic operations do not constitute a basic number ability linked to math anxiety.

The home numeracy environment and children's math skills: The moderating role of parents' math anxiety.

Evidence suggests that parents' math anxiety moderates the association between parents' help in mathematics homework and first graders' mathematics skills. Understanding whether similar associations are evident in younger children, in regard to the home numeracy environment (HNE) is essential, given that early math skills are strong predictors of later academic outcomes, and children's skills prior to kindergarten are fostered principally by their parents. Thus, the purpose of this study was to examine the association and interaction between the HNE and parents' math anxiety related to preschool children's numeracy performance. Participants were 121 parent-child dyads. Results from hierarchical multiple regression models demonstrated that parents' math anxiety and the HNE, included as separate predictors of children's math skills, were not statistically significant. However, the interaction between HNE and parents' math anxiety was statistically significant, such that the positive association between HNE and children's numeracy skills emerged when parents felt less anxious about math. These findings highlight the importance of accounting for parents' math anxiety when exploring the home influences on children's numeracy skills.

Does mathematics anxiety moderate the effect of problem difficulty on cognitive effort?

A negative relationship between mathematics anxiety (MA) and mathematics performance is well documented. One suggested explanation for this relationship is that MA interferes with the cognitive processes needed when solving mathematics problems. A demand for using more cognitive effort (e.g., when performing harder mathematics problems), can be traced as an increase in pupil dilation during the performance. However, we lack knowledge of how MA affects this relationship between the problem difficulty and cognitive effort. This study investigated, for the first time, if MA moderates the effect of arithmetic (i.e., multiplication) problem difficulty on cognitive effort. Thirty-four university students from Norway completed multiplication tasks, including three difficulty levels of problems, while their cognitive effort was also measured by means of pupil dilation using an eye tracker. Further, the participants reported their MA using a questionnaire, and arithmetic competence, general intelligence, and working memory were measured with paper-pencil tasks. A linear mixed model analysis showed that the difficulty level of the multiplication problems affected the cognitive effort so that the pupil dilated more with harder multiplication problems. However, we did not find a moderating effect of MA on cognitive effort, when controlling for arithmetic competence, general intelligence, and working memory. This suggests that MA does not contribute to cognitive effort when solving multiplication problems.

Registered Nurses' experiences of reading and using research for work and education: a qualitative research study.

BACKGROUND: Considerable resources have been expended, both in universities and health workplaces to improve nurses' abilities to interact with research and research literature to enable their engagement with evidence-based practice. Despite these efforts, a considerable number of nurses experience difficulty with research literature and are reluctant to use it in practice. AIMS: This study aimed to explore the experiences and perceptions of Registered Nurses when they have been required to read and understand research literature for work or education. DESIGN: A qualitative descriptive study using online and in-person focus groups. METHODS: Focus groups (online and in-person) were conducted between June and November 2020. Forty participants were included. We used focus group recordings and field notes to collect data. Transcribed records of these focus groups were coded on the basis of similarity of meaning and then subjected to thematic analysis. RESULTS: Three distinct themes were identified from the data: 'coming into learning about research', fitting research into the reality of nursing life', and 'working towards using research.' Participants described their early experiences in learning about research, experiences both positive and negative in integrating research into practice, and their personal strategies for reading and using research, particularly in the context of significant anxiety about understanding the content of methods and results sections of quantitative research articles. CONCLUSION: This study goes beyond the barriers and facilitators dichotomy that has been the majority of the conversation about nurses' evidence-based practice engagement previously, and explores the issues underlying aversion to research literature. Many nurses struggle with the language, numbers, and/or statistics used in research and this requires educational interventions suited to the problem and the population.

Mathematics anxiety in deaf, hard of hearing, and hearing college students.

While mathematics anxiety (MA) has been widely researched in recent decades, this study addresses significant gaps: namely, research that explores the relationship between MA and self-reported mathematics experiences; samples adults with a range of MA levels; and controls for general anxiety. Additionally, the study sampled deaf and hard of hearing (DHH) students, whose diverse life and educational experiences often differ from hearing students'. We investigated whether DHH students' experiences with mathematics (i.e., parental behaviors, school environment, and mathematics feelings) and demographic variables (i.e., hearing status, age, and gender) predict their MA, and whether these relationships differ from those in hearing students. Self-report questionnaires were completed by 296 DHH and hearing college students. Linear regression analyses controlling for general anxiety led to the following inference: DHH students who reported more positive attitudes toward mathematics and school environments demonstrated higher MA. Also, the relationships between mathematics feelings, parental behaviors, and MA differed between DHH and hearing students. Logistic regression analyses showed no contribution of MA to students' likelihood of pursuing STEM degrees in either DHH or between DHH and hearing groups. Overall, this work breaks new ground in the study of MA in DHH students and challenges standard views of the relationships between MA and individual experiences.

Mathematics-gender stereotype endorsement influences mathematics anxiety, self-concept, and performance differently in men and women.

Mathematics anxiety (MA) is negatively associated with mathematics performance. Although some aspects, such as mathematics self-concept (M self-concept), seem to modulate this association, the underlying mechanism is still unclear. In addition, the false gender stereotype that women are worse than men in mathematics can have a detrimental effect on women. The role that the endorsement of this stereotype (mathematics-gender stereotype (MGS) endorsement) can play may differ between men and women. In this study, we investigated how MA and mathematics self-concept relate to arithmetic performance when considering one's MGS endorsement and gender in a large sample (n = 923) of university students. Using a structural equation modeling approach, we found that MA and mathematics self-concept mediated the effect of MGS endorsement in both men and women. For women, MGS endorsement increased their MA level, while in men, it had the opposite effect (albeit weak). Specifically, in men, MGS endorsement influenced the level of the numerical components of MA, but, unlike women, it also positively influenced their mathematics self-concept. Moreover, men and women perceived the questions included in the considered instruments differently, implying that the scores obtained in these questionnaires may not be directly comparable between genders, which has even broader theoretical and methodological implications for MA research.

Mathematics anxiety-where are we and where shall we go?

In this paper, we discuss several largely undisputed claims about mathematics anxiety (MA) and propose where MA research should focus, including theoretical clarifications on what MA is and what constitutes its opposite pole; discussion of construct validity, specifically relations between self-descriptive, neurophysiological, and cognitive measures; exploration of the discrepancy between state and trait MA and theoretical and practical consequences; discussion of the prevalence of MA and the need for establishing external criteria for estimating prevalence and a proposal for such criteria; exploration of the effects of MA in different groups, such as highly anxious and high math-performing individuals; classroom and policy applications of MA knowledge; the effects of MA outside educational settings; and the consequences of MA on mental health and well-being.

The Role of Opportunity to Learn on Student Mathematics Anxiety, Problem-Solving Performance, and Mathematics Performance.

This study examined the effects of opportunity to learn (OTL) or the content coverage in mathematics on student mathematics anxiety, problem-solving performance, and mathematics performance. The pathways examining the influences of OTL on student problem-solving performance and mathematics performance via mathematics anxiety were also tested. A sample of 1,676 students from Shanghai-China, and a sample of 1,511 students from the United States who participated in the Programme for International Student Assessment (PISA) 2012 were used for the analyses. The results from multilevel models and path models supported our hypotheses that OTL not only showed significant direct effects on student mathematics anxiety, problem-solving performance, and mathematics performance, but also presented indirect effects on student problem-solving performance and mathematics performance via mathematics anxiety in both Shanghai-China and United States, controlling for student gender, grade, and socioeconomic status. The practical implications of the current results were also discussed.

Mediating factors of statistics anxiety in university students: a systematic review and meta-analysis.

Statistics plays a key role in many areas of modern society, including technology, social and behavior studies, economics, and the sciences. Statistics anxiety (SA) has a detrimental impact on academic experiences in university populations, although the mediating factors remain underexplored. We conducted the first systematic review and meta-analysis focused on SA in university students in the context of statistical performance, individual differences in statistical learning, self-perceptions regarding the statistics course and instructor, and sociodemographic factors. Searches were carried out in the PsycINFO, PubMed, Scielo, and Web of Science databases according to our preregistration. Forty studies were selected for systematic review. Seventeen were included in a series of six meta-analyses concerning academic achievement, attitudes, self-perception, procrastination, and gender. The findings reveal learning strategies, procrastination, self-efficacy, and self-awareness as predictors of SA. However, the impact of sociodemographic data in these moderators is still uncharted. We conclude with a critical appraisal of the selected studies and present future directions for research in SA.

Developmental relations between mathematics anxiety, symbolic numerical magnitude processing and arithmetic skills from first to second grade.

We investigated the levels of and changes in mathematics anxiety (MA), symbolic numerical magnitude processing (SNMP) and arithmetic skills, and how those changes are linked to each other. Children's (n = 264) MA, SNMP and arithmetic skills were measured in Grade 1, and again in Grade 2, also including a mathematics performance test. All three constructs correlated significantly within each time point, and the rank-order stability over time was high, particularly in SNMP and arithmetic skills. By means of latent change score modelling, we found overall increases in SNMP and arithmetic skills over time, but not in MA. Most interestingly, changes in arithmetic skills and MA were correlated (i.e. steeper increase in arithmetic skills was linked with less steep increase in MA), as were changes in SNMP and arithmetic skills (i.e. improvement in SNMP was associated with improvement in arithmetic skills). Only the initial level of arithmetic skills and change in it predicted mathematics performance. The only gender difference, in favour of boys, was found in SNMP skills. The differential effects associated with MA (developmentally only linked with arithmetic skills) and gender (predicting only changes in SNMP) call for further longitudinal research on the different domains of mathematical skills.