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Objectives: To examine how "stand-your-ground" (SYG) laws affect children's academic performance. Methods: We analyze 2008-2018 nationwide school district-level math and reading/language arts (RLA) test scores for 3rd-8th grade students combined with information on SYG laws by state and year. We implement two estimation approaches-two-way-fixed effects and group-time average treatment effects-and conduct analyses stratified by student race (Black, White) and area income level. Results: We find negative effects of SYG on math achievement among all students using both estimation approaches (-0.0377 standard deviation decline, p < 0.001 and -0.0493, p < 0.001). We find adverse effects of SYG on math among White students (-0.0315, p = 0.001 and -0.0312, p = 0.08) and among students in low-income districts (-0.0616, p < 0.001 and -0.0903, p < 0.001). The precision of estimates for the effect on math scores among Black students varies across approaches (-0.0666, p = 0.05, -0.0444, p = 0.48). We estimate negative effects of SYG on RLA achievement in only a subset of models. Conclusions: Our findings suggest SYG laws adversely affect math performance among 3rd-8th grade students. Policy implications: These findings underscore the importance of additional work to understand and quantify the relationship between the nation's gun policies and children's academic performance.

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The filter design of H ∞ for an interconnecting system (IS) with uncertain discrete time switching is examined. Discrete-time N -linear subsystems with coupling states that have time delays, external disturbances and uncertainty are taken into account. Utilising Lyapunov-Krasovskii functional (LKF) and the Linear-Matrix-Inequality (LMI) approach, an appropriate filter is designed for the considered interconnected system. To remove an outside disruption, H ∞ performances (HP) are implemented. Sufficient criteria are developed to assure the Exponentially Mean-Square Stability (EMSS). Then, using MATLAB-LMI toolbox filter parameters were established. Finally, the efficiency of the designed filter is illustrated with mathematical instances.

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INTRODUCTION: In today's world, which is progressively oriented towards science and technology and facing a growing demand for skilled professionals, it becomes essential to identify the factors that encourage individuals to pursue careers in STEM fields (Science, Technology, Engineering and Mathematics). Previous research has shown that affective-motivational factors, math performance and gender influence STEM occupational and academic choices in adulthood. However, few studies examined how these factors may influence STEM choices as early as middle school. This study aims to assess how math anxiety, math self-efficacy, math performance and gender influence STEM school choices during middle school. METHODS: We longitudinally assessed a group of 109 students (Year 6) over three school years, with measurements taken on three different occasions. RESULTS: Findings indicated that individuals who made an STEM school choice experienced lower math anxiety, higher self-efficacy and math performance and were predominantly male. Furthermore, the results indicated that both math anxiety in Year 7 and self-efficacy in Year 6 made the most substantial unique contributions to the STEM school choice. CONCLUSION: Math anxiety and math self-efficacy seem to be both crucial in influencing middle school students' STEM choices, offering new perspectives for early interventions aimed at promoting more informed school choices.

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Although socioeconomic disadvantage is linked with academic underachievement, many children from low-income backgrounds perform well in school. Which modifiable factors predict this academic resilience? We examine between- and within-person predictors of one important academic metric - mathematics performance - across adolescence in 1715 (796 male, 919 female) youth living in poverty in Ireland, using data from three waves (9, 13, and 17/18 years) of the Growing Up in Ireland study. Using linear mixed models, math performance was worse when adolescents had more socioemotional and behavioural difficulties, more child-parent relationship conflict, parents had lower expectations of the adolescent's educational achievement, and when primary caregivers had less education. Adolescents who had better intellectual self-concept and attended a non-disadvantaged school had greater math performance. This research adds to the growing body of work suggesting academic resilience is dynamic and multisystemic; it provides potential targets at multiple levels to promote such resilience.

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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.

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The detrimental effect of math anxiety on math performance is thought to be mediated by executive functions. Previous studies have primarily focused on trait-math anxiety rather than state-math anxiety and have typically examined a single executive function rather than comprehensively evaluating all of them. Here, we used a structural equation modeling approach to concurrently determine the potential mediating roles of different executive functions (i.e., inhibition, switching, and updating) in the relationships between both state- and trait-math anxiety and math performance. A battery of computer-based tasks and questionnaires were administered to 205 university students. Two relevant results emerged. First, confirmatory factor analysis suggests that math anxiety encompassed both trait and state dimensions and, although they share substantial variance, trait-math anxiety predicted math performance over and above state-math anxiety. Second, working memory updating was the only executive function that mediated the relationship between math anxiety and math performance; neither inhibition nor switching played mediating roles. This calls into question whether some general proposals about the relationship between anxiety and executive functions can be extended specifically to math anxiety. We also raise the possibility that working memory updating or general cognitive difficulties might precede individual differences in math anxiety.

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The home math environment has gained considerable attention as a potential cause of variation in children's math performance, and recent research has suggested positive associations between parents' math talk and children's mathematical performance. However, the extent to which associations reflect robust causal effects is difficult to test. In a preregistered meta-analysis, we assess the association between parents' math talk and children's math performance. Our initial search identified 24,291 potential articles. After screening, we identified 22 studies that were included in analyses (k = 280 effect sizes, n = 35,917 participants). A multilevel random effects meta-analysis was employed, finding that parents' math talk is significantly associated with children's math performance (b = 0.10, SE = 0.03, p = .002). We tested whether associations differ as a function of sample characteristics, observation context, observation length, type of math talk and math performance measured, and modeling approaches to math talk variable analysis. In addition, we tested whether associations are robust to the inclusion of strong baseline covariates and found that effects attenuated when children's domain-general and/or prior math abilities are included. We discuss plausible bounds of the effects of parents' math talk on children's mathematical performance to inform power analyses and experimental work on the impact of parents' math language on children's math learning.

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Understanding the magnitudes represented by numerals is a core component of early mathematical development and is often assessed by accuracy in situating numerals and fractions on a number line. Performance on these measures is consistently related to performance in other mathematics domains, but the strength of these relations may be overestimated because general cognitive ability has not been fully controlled in prior studies. The first of two meta-analyses (162 studies, 33,101 participants) confirmed a relation between performance on whole number (r = 0.33) and fractions number (r = 0.41) lines and overall mathematics performance. These relations were generally consistent across content domains (e.g., algebra and computation) and other moderators. The second (71 studies, 14,543 participants) used meta-analytic structural equation modeling to confirm these relations while controlling general cognitive ability (defined by IQ and working memory measures) and, in one analysis, general mathematics competence. The relation between number line performance and general mathematics competence remained significant but reduced (ß = 0.13). Controlling general cognitive ability, whole number line performance consistently predicted competence with fractions but not performance on numeracy or computations measures. The results suggest an understanding of the magnitudes represented by whole numbers might be particularly important for students' fractions learning. RESEARCH HIGHLIGHTS: Two meta-analyses examined the link between the number line and mathematics performance. The first revealed significant relations across domains (e.g., algebra and computation). The second controlled for general cognitive ability and resulted in reduced but still significant relations. The relation between number line and fractions performance was stronger than relations to other domains.

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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.

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It was investigated whether test anxiety (TA), mathematics anxiety (MA), and reading anxiety (RA) can be traced back to some type of general academic anxiety or whether these are separable. A total of 776 fifth graders (Mage = 10.9 years) completed questionnaires on TA, MA, and RA, as well as a mathematics test. Also, mathematics and reading performance results from the National Tracking System were requested. The sample was randomly split into two halves. Confirmatory factor analyses showed that a three-factor model (factors: TA, MA, RA) had superior model fit compared with a one-factor model (factor: "Academic anxiety"), in both halves. The resulting anxiety factors were related to math performance measures using structural equation models. A scarcity of data on reading performance prevented the analysis of links between anxiety and reading performance. Anxiety-math performance relations were stronger for MA than for TA and MA. We concluded that TA, MA, and RA are separable constructs.

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Introduction: Activating people's sense of attachment security can buffer against psychological threats. Here we tested whether security priming can also buffer the adverse effects of stereotype threat among women. Method: Three studies (a pilot study (N = 79 women, 72 men), a laboratory study; N = 474 women, and an online study; N = 827 women) compared security priming to neutral and positive affect priming. Results: The pilot study revealed that women exposed to attachment security primes (e.g., the word "love") had better math performance than women exposed to neutral primes (e.g., "boat"). Men's math performance did not differ across priming conditions. Study 1 revealed that women showed better math performance in the attachment security priming condition than in the neutral or positive (e.g., "luck") priming conditions. The effect was observed among women high on math identification. In Study 2, despite an effect of security priming on the manipulation check [higher State Adult Attachment Measure (SAAM) security score], security did not buffer stereotype threat effects. Discussion: Our findings provide partial support to the idea that security priming (an interpersonal process) can buffer stereotype threat (an intergroup process). Theoretical and practical implications related to attachment security priming and stereotype threat are discussed.

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This study analyzed performance, process, and survey data of eighth graders with learning disabilities (LDs) who took the 2017 National Assessment of Educational Progress (NAEP) digital math test. Compared with students with LDs who did not receive extended time accommodations (ETAs), students with LDs who received and used ETA scored significantly higher on the test, whereas students with LDs who received but did not use ETA scored significantly lower on the test. In addition, students with LDs in the two ETA groups reported a lower level of perceived time pressure and a higher level of math interest and enjoyment than their peers who did not receive ETA. For students with LDs who received ETA, optimal performance was achieved with 50% additional time, while their peers who did not receive ETA typically performed best when utilizing most of their allotted time. The analysis of process data revealed that students with LDs who used ETA performed more actions, had a higher number of revisits, used universal design digital tools more frequently, and performed better on time-consuming items than their peers who did not receive ETA at the same level of math performance.

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Math learning programs were expected to revolutionize students' learning, but their effects so far have mostly been disappointing. Following the debate about why to continue research on math learning programs, we aimed to reformulate this question into how to continue this research. Investigations to date have neither considered a sufficiently wide set of outcome variables nor differentiated between performance measures (e.g., measuring addition and subtraction performance separately) and affective-motivational variables. Moreover, as students can only benefit from a program if they use it, researchers need to take practice behavior into account. Thus, we investigated whether the adaptive arithmetic learning program Math Garden fostered students' addition and subtraction performance, their math self-concept, and a reduction of their math anxiety. We also investigated how practice behavior (practiced tasks/weeks) affected these outcomes. We used a randomized pretest-posttest control group design with 376 fifth-grade students in Germany. Students in the experimental condition practiced with Math Garden for 20.7 weeks and had an increase in math self-concept. The more subtraction tasks the students practiced, the more they improved their subtraction performance. We found no effects on math anxiety. The results are discussed in terms of providing a starting point for new directions in future research.

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For autistic students receiving special education services, little is known about their relative strengths, weaknesses, and enjoyment across different math content areas; their overall math interest and persistence are also not well-studied. Using the 2017 eighth-grade National Assessment of Education Progress data, this study finds, relative to general education peers with the same math proficiency level, autistic students scored higher and exhibited faster speed in solving visuospatial problems (e.g. identifying figures), but scored lower on math word problems with complex language or social context. Autistic students reported a higher level of enjoyment in solving math problems related to finding areas of shapes or figures but a lower level of persistence than their non-autistic, general education peers. Our work points out the need to help autistic students overcome their weaknesses in word problems and develop their mathematical persistence.

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The aim of the study was to demonstrate a relationship between the math anxiety (MA) of parents and teachers and the MA of children and the effects on the children's performance in arithmetic. 286 children aged between 7 and 10 years and their parents and mathematics teachers participated in the study. The instruments used were: Math Anxiety Questionnaire; School Performance Test - Arithmetic subtest; Mathematical Anxiety Scale; and Raven's Colored Progressive Matrices. The results showed that advanced age of the teacher was a predictor of high levels of MA, which influenced the children's performance in arithmetic. Low parental education was associated with high MA, however, there were no correlations between parents' and children's MA. A significant difference was found between the MA mean scores for girls and boys, with the girls presenting higher levels of MA. (AU)

O objetivo do estudo foi evidenciar a relação entre a ansiedade matemática (AM) dos pais e dos professores com a AM das crianças e o desempenho destas em aritmética. Participaram do estudo 286 crianças com idade entre 7 e 10 anos e seus respectivos pais e professores de matemática. Os instrumentos utilizados foram: Questionário de Ansiedade Matemática, Teste de Desempenho Escolar - Subteste de Aritmética, Escala de Ansiedade Matemática e Matrizes Progressivas Coloridas de Raven. Os resultados mostraram que a idade avançada dos professores é um fator preditor para altos níveis de AM, o que influencia no desempenho das crianças em aritmética. A baixa escolaridade dos pais está associada a alta AM, porém não foram encontradas correlações significativas entre AM de pais e crianças. Também foi encontrada uma diferença significativa entre as médias de AM para o sexo feminino e masculino, evidenciando que meninas possuem maiores níveis de AM. (AU)

El objetivo del estudio fue resaltar la relación entre la ansiedad matemática (AM) de padres y docentes con la AM de los niños y su desempeño en aritmética y de los niños. Participaron en el estudio 286 niños entre 7 y 10 años y sus respectivos padres y profesores de matemáticas. Los instrumentos utilizados fueron: Cuestionario de AM; Prueba de Rendimiento Escolar: Subprueba aritmética; Escala de AM; Matrices Progresivas Escala Coloreada de Raven. Los resultados mostraron que la edad avanzada de los docentes es un factor predictivo para altos niveles de AM, lo que influye en el rendimiento de los niños en aritmética. La baja educación de los padres se asocia con un alto AM, pero no se encontraron correlaciones significativas entre AM de padres e hijos. Asimismo, se encontró una diferencia significativa entre las medias de AM de niñas y niños, lo que demuestra que las niñas tienen niveles más altos de AM. (AU)

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The positive impact of short-term exposure to nature during a green recess in a school day is documented in the literature. In this study we investigated cognitive, academic, and affective effects of a single contact with nature during a regular school lesson in the greenness, compared to an usual classroom lesson, on young students in second and third grades (N = 65). In a within-subjects design, for the cognitive effects we examined children's (a) selective and sustained attention and (b) math calculation performance in common school tasks. For affective effects we considered (c) their positive and negative mood and (d) the perception of environmental restorativeness. Findings revealed that after a single lesson taught in the green school garden, children had greater selective attention and math calculation performance in two tasks than after a similar lesson in the classroom environment. Moreover, children with higher self-reported emotional difficulties showed greater selective attention and reported a statistically significant increase in positive affect and a tendency to a significant decrease in negative affect after the lesson in the greenness than in the classroom. Students also perceived the green space as more restorative than the classroom environment. Results are discussed against theories on the benefits of exposure to natural environments, highlighting the theoretical and practical significance of the study.

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Math anxiety (MA; i.e., feelings of anxiety experienced when being confronted with mathematics) can have negative implications on the mental health and well-being of individuals and is moderately negatively correlated with math achievement. Nevertheless, ambiguity about some aspects related to MA may prevent a fathomed understanding of this systematically observed relationship. The current study set out to bring these aspects together in a comprehensive study. Our first focus of interest was the multi-component structure of MA, whereby we investigated the relationship between state- and trait-MA and math performance (MP) and whether this relation depends on the complexity of a math task. Second, the domain-specificity of MA was considered by examining the contribution of general anxiety (GA) and MA on MP and whether MA also influences the performance in non-math tasks. In this study, 181 secondary school students aged between 16 and 18 years old were randomly presented with four tasks (varying in topic [math/non-math] and complexity [easy/difficult]). The math task was a fraction comparison task and the non-math task was a color comparison task, in which specific indicators were manipulated to develop an easy and difficult version of the tasks. For the first research question, results showed a moderate correlation between state- and trait-MA, which is independent of the complexity of the math task. Regression analyses showed that while state-MA affects MP in the easy math task, it is trait-MA that affects MP in the difficult math task. For the second research question, a high correlation was observed between GA and MA, but regression analyses showed that GA is not related to MP and MA has no predictive value for performance in non-math tasks. Taken together, this study underscores the importance of distinguishing between state and trait-MA in further research and suggests that MA is domain-specific.

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Studies have found math anxiety and achievement to be related from the beginning of formal schooling, but the knowledge regarding the direction of the relationship is vague. The purpose of the present study was to study this relationship. We investigated math anxiety from two points of view: trait and state anxiety. In the first substudy, we investigated the longitudinal relationship between math anxiety and performance from sixth to seventh grade (n = 848) with cross-lagged modeling. In the second substudy, we investigated the situational relationship of anxiety and performance by giving the participants (n = 149) challenging and nonchallenging math tasks adapted to their skill level, and then examining the association between anxiety and the performance. The results suggest that math anxiety has a small longitudinal effect on performance: High anxiety in sixth grade predicted low performance in seventh grade. Anxiety also had a situational association with performance: when anxiety was aroused, the participants performed more poorly compared to their skill level. The results adduce the two-fold effect of anxiety on achievement: math anxiety seems to have both a real-time association with performance and a long-term effect on the development of basic arithmetic skills.

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Previous studies mainly investigated working memory (WM) and math anxiety (MA) leaving almost unexplored other aspects of executive functions (EFs) in middle school period. Filling the gap in the literature, the aims of this study were: (1) to better examine the relationship between MA and math performance, (2) to better examine the relationship between EFs and math performance and (3) to investigate the interplay between EFs and MA on math performances. This study confirmed a significant and negative relationship between MA and math performance, indicates a significant and positive relationship between visuospatial WM and math performance, shifting and math performance and highlight a scarcely investigated indirect influence of MA through the measure of shifting on math performance. Our findings shed further light on the mediating role of EFs between MA and math performance and underline some future perspectives.

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Although the interaction between anxiety and attention is considered crucial for learning and performance in mathematics, few studies have examined these cognitive and affective predictors in a single framework or explored the role of sustained attention in promoting children's arithmetic performance, using traditional linear analyses and latent profile analysis (LPA). In this paper, state anxieties (in a math test and in an attention test situation), general anxiety traits, sustained attention (performance-based test and attention deficit/hyperactivity disorder (ADHD) self-ratings) and math achievement of 403 fourth and fifth graders (55.8% girls) were assessed. A negative correlation between state anxiety prior to the math test and arithmetic achievements was identified, even when controlling for other non-math related state anxieties and general anxiety. Sustained attention was a strong predictor of arithmetic achievement and functioned as a moderator in the anxiety-performance link. LPA identified six distinct profiles that revealed a complex relationship with arithmetic fluency. The weakest achievement was found for a specific math anxiety subgroup. The findings highlight the important role of the interaction of anxiety and sustained attention in children's ability to perform math and enable new conclusions about the specific nature of math anxiety. Implications for future research are discussed.