The development of number line estimation in children at risk of mathematics learning difficulties: A longitudinal study.

Children with mathematics learning difficulties (MLD) show poorer performance on the number line task, but how performance on this task relates to other mathematical skills is unclear. This study examined the association between performance on the number line task and mathematical skills during the first 2 years of school for children at risk of MLD. Children (N = 100; Mage = 83.63 months) were assessed on four occasions on the number line task and other mathematical skills (math fluency, numerical operations, and mathematical reasoning). Estimation patterns were analyzed based on the representational shift and proportional judgment accounts separately. More consistent longitudinal trends and stronger evidence for differences in mathematical skills based on estimation patterns were found within the representational shift account. Latent growth curve models showed accuracy on the number line task as a predictor of growth in some mathematical skills assessed. We discuss impacts of methodological limitations on the study of estimation patterns.

Developmental dyscalculia is not associated with atypical brain activation: A univariate fMRI study of arithmetic, magnitude processing, and visuospatial working memory.

Functional neuroimaging serves as a tool to better understand the cerebral correlates of atypical behaviors, such as learning difficulties. While significant advances have been made in characterizing the neural correlates of reading difficulties (developmental dyslexia), comparatively little is known about the neurobiological correlates of mathematical learning difficulties, such as developmental dyscalculia (DD). Furthermore, the available neuroimaging studies of DD are characterized by small sample sizes and variable inclusion criteria, which make it problematic to compare across studies. In addition, studies to date have focused on identifying single deficits in neuronal processing among children with DD (e.g., mental arithmetic), rather than probing differences in brain function across different processing domains that are known to be affected in children with DD. Here, we seek to address the limitations of prior investigations. Specifically, we used functional magnetic resonance imaging (fMRI) to probe brain differences between children with and without persistent DD; 68 children (8-10 years old, 30 with DD) participated in an fMRI study designed to investigate group differences in the functional neuroanatomy associated with commonly reported behavioral deficits in children with DD: basic number processing, mental arithmetic and visuo-spatial working memory (VSWM). Behavioral data revealed that children with DD were less accurate than their typically achieving (TA) peers for the basic number processing and arithmetic tasks. No behavioral differences were found for the tasks measuring VSWM. A pre-registered, whole-brain, voxelwise univariate analysis of the fMRI data from the entire sample of children (DD and TA) revealed areas commonly associated with the three tasks (basic number processing, mental arithmetic, and VSWM). However, the examination of differences in brain activation between children with and without DD revealed no consistent group differences in brain activation. In view of these null results, we ran exploratory, Bayesian analyses on the data to quantify the amount of evidence for no group differences. This analysis provides supporting evidence for no group differences across all three tasks. We present the largest fMRI study comparing children with and without persistent DD to date. We found no group differences in brain activation using univariate, frequentist analyses. Moreover, Bayesian analyses revealed evidence for the null hypothesis of no group differences. These findings contradict previous literature and reveal the need to investigate the neural basis of DD using multivariate and network-based approaches to brain imaging.

Heterogeneity in children at risk of math learning difficulties.

This study recruited 428 Singaporean children at risk of math learning difficulties (MLD; Mage  = 83.9 months, SDage  = 4.35 months; 41% female). Using a factor mixture model that considered both quantitative and qualitative differences in math ability, two qualitatively different groups were identified: one with generalized difficulties across different math skills and the other with more focal difficulties in arithmetic fluency. Reading, working memory capacity, and numeracy (number line estimation skills and numerical discrimination) uniquely explained group membership. Children within each group differed in the extent of difficulties they exhibited, with numeracy variables differentially contributing to math ability in each group. Findings speak against a dimensional view of MLD and underscore the conceptual limitations of using basic numeracy performance to profile learning difficulties.

Maternal education and siblings: Agents of cognitive development in kindergarten.

In this study (n = 1000, Mage at K1entry  = 53.4 months, SD = 3.4; 53% females), we investigated the contributions of the family socioeconomic status (SES; maternal education and an income-related measure) and number and age of siblings to the development of children's math, reading, and working memory (WM) updating skills over the kindergarten years. Results from a multivariate multilevel growth curve model showed that children from more disadvantaged SES backgrounds already had a multifaceted developmental lag at kindergarten entry. Maternal education was the aspect of SES that more clearly affected the child's cognitive development; the mother's education predicted children's math, reading, and WM-updating skills at kindergarten entry as well as the rate of development of reading skills over the kindergarten years. Independently of SES status, children with more siblings also showed poorer reading and math skills than those in one-child families at kindergarten entry. We also found that both older and younger siblings affected, negatively, children's reading skills before they attended kindergarten-which suggests that the development of reading skills is more responsive to environmental factors during the first years than other aspects of the child development. The findings underscore the independent role of siblings upon entry to kindergarten, and the enduring role of maternal education even after children are exposed to formal schooling.

Socioeconomic status, home mathematics environment and math achievement in kindergarten: A mediation analysis.

Growing evidence suggests that parents' practices contribute to their children's cognitive development and that such practices may reflect SES disparities. This study investigated longitudinal interrelations between home mathematics environment (HME), children's math achievement, and two facets of SES (mother's educational attainment and household income-subsidy status) during the first year in kindergarten (n = 500 children; Mage at T1 = 57.3 months, SD = 3.8). Results revealed that these facets of SES operated through different mechanisms in kindergarten-the association between mothers' education and math growth at the end of K1 is fully mediated by HME and children's baseline math knowledge. Furthermore, only home math activities that explicitly supported the understanding of addition and subtraction contributed to children's math growth independently of SES background. The pattern of longitudinal associations suggests that the provision of home math activities may reflect children's mathematical abilities rather than SES disparities.

Developmental changes in executive functioning.

Although early studies of executive functioning in children supported Miyake et al.'s (2000) three-factor model, more recent findings supported a variety of undifferentiated or two-factor structures. Using a cohort-sequential design, this study examined whether there were age-related differences in the structure of executive functioning among 6- to 15-year-olds (N = 688). Children were tested annually on tasks designed to measure updating and working memory, inhibition, and switch efficiency. There was substantial task-based variation in developmental patterns on the various tasks. Confirmatory factor analyses and tests for longitudinal factorial invariance showed that data from the 5- to 13-year-olds conformed to a two-factor structure. For the 15-year-olds, a well-separated three-factor structure was found.

Screening for executive function difficulties: An evaluation of the Behavior Rating Inventory of Executive Function-2nd Edition Screener, Teacher Report (BRIEF2-TS).

Executive functions (EFs) correlate positively with many developmental outcomes, and ecologically valid measures of EFs may be more predictive of some outcomes than performance-based measures. Accordingly, there is a need to evaluate short EF rating scales, such as the Behavior Rating Inventory of Executive Function-2nd Edition Screener, Teacher Report (BRIEF2-TS). Data from 1,322 kindergarten children in Singapore (50% girls; 61.3% Chinese, 10.6% Malay, 16.3% Indian, 4.0% other ethnicity, and 7.8% did not report their ethnicity), followed for 3 years, were used to examine the multilevel factor structure, gender and longitudinal invariance, reliability, and concurrent and predictive validity of BRIEF2-TS scores. Results indicated a two-factor within-level structure (11 items; cognitive and emotional-behavioral regulation) that was at least partially invariant across gender and time. Concurrent validity with direct EF measures and ratings of self-regulation, and predictive validity for socioemotional and academic skills were good. Overall, BRIEF2-TS scores showed evidence for good validity and reliability. Future research should consider correlates of the between-level structure and further consider structure and validity in clinical samples. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

Readability and beyond - Health literacy and numeracy and COVID-19 communications in early childhood education: Are we communicating effectively?

OBJECTIVE: Analyse the linguistic and numerical complexity of COVID-19-related health information communicated from Australian national and state governments and health agencies to national and local early childhood education (ECE) settings. METHODS: Publicly available health information (n = 630) was collected from Australian national and state governments and health agencies, and ECE agencies and service providers. A purposive sample of documents (n = 33) from 2020 to 2021 was analysed inductively and deductively combining readability, health numeracy and linguistic analyses and focusing on the most frequent actionable health advice topics. RESULTS: COVID-19 health advice most frequently related to hygiene, distancing and exclusion. Readability scores in 79% (n = 23) of documents were above the recommended grade 6 reading level for the public. Advice was delivered using direct linguistic strategies (n = 288), indirect strategies (n = 73), and frequent mitigating hedges (n = 142). Most numerical concepts were relatively simple, but lacked elaborative features (e.g., analogies) and/or required subjective interpretation. CONCLUSION: COVID-19 health advice available to the ECE sector included linguistic and numerical information open to mis/interpretation making it difficult to understand and implement. PRACTICE IMPLICATIONS: Combining readability scores with measures of linguistic and numerical complexity offers a more holistic approach to assessing accessibility of health advice and improving health literacy among its recipients.

Adult aging, processing style, and the perception of biological motion.

UNLABELLED: BACKGROUND/STUDY CONTEXT: Social perception may be influenced by the extent to which individuals focus on global, rather than local, detail-based, processing of information about others. Here the authors investigated whether global processing biases relate to successful detection of actions and emotions from point-light biological motion (BM) stimuli. Also explored is whether age differences in BM perception and global-local processing biases are related. METHODS: One hundred and twenty-seven participants (aged 18 to 86) completed tasks assessing BM perception and global-local processing. RESULTS: Successful decoding of actions and emotions from BM stimuli was correlated with global processing bias. Older adults performed more poorly on BM decoding and had a local processing bias. However, age differences in global-local processing could not fully explain differences in decoding actions or emotions from point-light displays. CONCLUSION: Therefore, although there was an association between age, perceptual processing bias, and detection of BM, other factors must be important in explaining age-related change in social perception.

The cognitive underpinnings of emerging mathematical skills: executive functioning, patterns, numeracy, and arithmetic.

BACKGROUND: Exposure to mathematical pattern tasks is often deemed important for developing children's algebraic thinking skills. Yet, there is a dearth of evidence on the cognitive underpinnings of pattern tasks and how early competencies on these tasks are related to later development. AIMS: We examined the domain-specific and domain-general determinants of performances on pattern tasks by using (a) a standardized test of numerical and arithmetic proficiency and (b) measures of executive functioning, respectively. SAMPLE: Participants were 163 6-year-olds enrolled in primary schools that typically serve families from low to middle socioeconomic backgrounds. METHOD: Children were administered a battery of executive functioning (inhibitory, switching, updating), numerical and arithmetic proficiency (the Numerical Operations task from the Wechsler Individual Achievement Test-II), and three types of pattern tasks. RESULTS: Contrary to findings from the adult literature, we found all the executive functioning measures coalesced into two factors: updating and an inhibition/switch factor. Only the updating factor predicted performances on the pattern tasks. Although performance on the pattern tasks were correlated with numerical and arithmetic proficiency, findings from structural equation modelling showed that there were no direct or independent relationships between them. CONCLUSIONS: The findings suggest that the bivariate relationships between pattern, numeracy, and arithmetic tasks are likely due to their shared demands on updating resources. Unlike older children, these findings suggest that for 6-year-olds, better numerical and arithmetic proficiency, without accompanying advantages in updating capacities, will no more likely lead to better performance on the pattern tasks.

Non-symbolic Ratio Reasoning in Kindergarteners: Underlying Unidimensional Heuristics and Relations With Math Abilities.

Although it is thought that young children focus on the magnitude of the target dimension across ratio sets during binary comparison of ratios, it is unknown whether this is the default approach to ratio reasoning, or if such approach varies across representation formats (discrete entities and continuous amounts) that naturally afford different opportunities to process the dimensions in each ratio set. In the current study, 132 kindergarteners (Mage = 68 months, SD = 3.5, range = 62-75 months) performed binary comparisons of ratios with discrete and continuous representations. Results from a linear mixed model revealed that children followed an additive strategy to ratio reasoning-i.e., they focused on the magnitude of the target dimension across ratio sets as well as on the absolute magnitude of the ratio set. This approach did not vary substantially across representation formats. Results also showed an association between ratio reasoning and children's math problem-solving abilities; children with better math abilities performed better on ratio reasoning tasks and processed additional dimensions across ratio sets. Findings are discussed in terms of the processes that underlie ratio reasoning and add to the extant debate on whether true ratio reasoning is observed in young children.

Workplace Bullying in Early Childhood Education Settings: Prevalence and Protective Factors.

Workplace bullying in the early childhood education and care (ECEC) sector is a pervasive and significant issue in Australia and globally. Workplace bullying can negatively impact early childhood professionals' mental health, contributing to staff turnover and attrition. Given the current, and predicted, future shortages of ECEC staff, it is critical that strategies be implemented to support staff well-being and maintain healthy and safe workplaces. The aims of this study were to examine the current prevalence of workplace bullying in the ECEC sector in Australia and to identify protective workplace factors associated with lower prevalence of workplace bullying. Using a convergent parallel mixed methods design, findings are drawn from qualitative and quantitative survey questions within a large study on ECEC educators' well-being conducted in Australia. Participants were 591 early childhood professionals working in ECEC a variety of ECEC settings. Findings indicated that 24.6% of respondents reported experiencing workplace bullying and that most bullying was perpetrated by co-workers. Some workplace factors were related to lower rates of bullying, including positive teamwork, better supervisor relations, lower work-related stressors and having greater influence on workplace decisions. Implications of the findings are discussed in relation to informing policy and practices to address workplace bullying in the ECEC sector by identifying aspects of the workplace that serve as protective factors.

L'intimidation au travail dans le secteur de l'éducation et de la garde des jeunes enfants (EAJE) est un problème omniprésent et important en Australie et dans le monde. L'intimidation au travail peut avoir un impact négatif sur la santé mentale des professionnels de la petite enfance, contribuant au roulement et à l'attrition du personnel. Compte tenu des pénuries actuelles et prévues de personnel d'EAJE, il est essentiel que des stratégies soient mises en oeuvre pour soutenir le bien-être du personnel et maintenir des lieux de travail sains et sûrs. Les objectifs de cette étude étaient d'examiner la prévalence actuelle de l'intimidation au travail dans le secteur de l'EAJE en Australie et d'identifier les facteurs de protection sur le lieu de travail associés à une prévalence plus faible de l'intimidation au travail. En utilisant une conception de méthodes mixtes parallèles convergentes, les résultats sont tirés de questions d'enquête qualitatives et quantitatives dans le cadre d'une vaste étude sur le bienêtre des éducateurs de l'EAJE menée en Australie. Les participants étaient 591 professionnels de la petite enfance travaillant dans divers contextes d'EAJE. Les résultats ont indiqué que 24,6 % des répondants ont déclaré avoir été victimes d'intimidation au travail et que la plupart des intimidations étaient perpétrées par des collègues. Certains facteurs liés au lieu de travail étaient liés à des taux plus faibles d'intimidation, notamment un travail d'équipe positif, de meilleures relations avec les superviseurs, des facteurs de stress liés au travail moins élevés et une plus grande influence sur les décisions en milieu de travail. Les implications des résultats sont discutées par rapport à la politique et aux pratiques d'information pour lutter contre l'intimidation au travail dans le secteur de l'EAJE en identifiant les aspects du lieu de travail qui servent de facteurs de protection.

Order processing of number symbols is influenced by direction, but not format.

This study probed the cognitive mechanisms that underlie order processing for number symbols, specifically the extent to which the direction and format in which number symbols are presented influence the processing of numerical order, as well as the extent to which the relationship between numerical order processing and mathematical achievement is specific to Arabic numerals or generalisable to other notational formats. Seventy adults who were bilingual in English and Chinese completed a Numerical Ordinality Task, using number sequences of various directional conditions (i.e., ascending, descending, mixed) and notational formats (i.e., Arabic numerals, English number words, and Chinese number words). Order processing was found to occur for ascending and descending number sequences (i.e., ordered but not non-ordered trials), with the overall pattern of data supporting the theoretical perspective that the strength and closeness of associations between items in the number sequence could underlie numerical order processing. However, order processing was found to be independent of the notational format in which the numerical stimuli were presented, suggesting that the psychological representations and processes associated with numerical order are abstract across different formats of number symbols. In addition, a relationship between the processing speed for numerical order judgements and mathematical achievement was observed for Arabic numerals and Chinese number words, and to a weaker extent, English number words. Together, our findings have started to uncover the cognitive mechanisms that could underlie order processing for different formats of number symbols, and raise new questions about the generalisability of these findings to other notational formats.

Using confirmatory factor analysis to understand executive control in preschool children: sources of variation in emergent mathematic achievement.

Latent variable modeling methods have demonstrated utility for understanding the structure of executive control (EC) across development. These methods are utilized to better characterize the relation between EC and mathematics achievement in the preschool period, and to understand contributing sources of individual variation. Using the sample and battery of laboratory tasks described in Wiebe, Espy and Charak (2008), latent EC was related strongly to emergent mathematics achievement in preschool, and was robust after controlling for crystallized intellectual skills. The relation between crystallized skills and emergent mathematics differed between girls and boys, although the predictive association between EC and mathematics did not. Two dimensions of the child 's social environment contributed to mathematics achievement: social network support through its relation to EC and environmental stressors through its relation with crystallized skills. These findings underscore the need to examine the dimensions, mechanisms, and individual pathways that influence the development of early competence in basic cognitive processes that underpin early academic achievement.

Numerical Estimation in Deaf and Hearing Adults.

Deaf students often lag behind hearing peers in numerical and mathematical abilities. Studies of hearing children with mathematical difficulties highlight the importance of estimation skills as the foundation for formal mathematical abilities, but research with adults is limited. Deaf and hearing college students were assessed on the Number-to-Position task as a measure of estimation, and completed standardised assessments of arithmetical and mathematical reasoning. Deaf students performed significantly more poorly on all measures, including making less accurate number-line estimates. For deaf students, there was also a strong relationship showing that those more accurate in making number-line estimates achieved higher scores on the math achievement tests. No such relationship was apparent for hearing students. Further insights into the estimation abilities of deaf individuals should be made, including tasks that require symbolic and non-symbolic estimation and which address the quality of estimation strategies being used.

Cross- and Within-Domain Associations of Early Reading and Mathematical Skills: Changes Across the Preschool Years.

Existing research has mainly examined the role of cognitive correlates of early reading and mathematics from a stationary perspective that does not consider how these skills unfold and interact over time. This approach constraints the interpretation of cross-domain associations and the specificity of domain-specific covariates. In this study, we disentangle the role of these predictors and investigate cross-domain associations between reading, math, and two related domain-specific predictors (phonological awareness and fluency with number sets) over the kindergarten years (n=512, Mage=54months, SDage=3.5, 52% females). Results reveal that the overlap between reading and math skills changes over development. Reciprocal associations between reading and math abilities are observed at earlier stages; then, reading abilities become the lead force. Findings also show that phonological awareness and fluency with number sets are domain-specific predictors that do not contribute to cross-domain gains in academic skills. Indeed, there is a trend for domain-specific skills to be more strongly related to achievement at the beginning of formal education than at the beginning of kindergarten, which suggests an increasing differentiation of domains over the kindergarten years. Such findings have implications for the timing and nature of interventions that aim to support children's reading and mathematical development.

Validation of the Child Behavior Rating Scale (CBRS) using multilevel factor analysis.

Behavioral regulation supports children to control their cognitive and emotional skills and participate fully in classroom learning and interactions. Teacher ratings are frequently used to collect data but are highly susceptible to the teacher's response bias, meaning much child level variance is attributable to the teacher level. Multilevel modeling techniques are commonly used to assess the psychometric properties of measures at different levels by disaggregating within- and between-teacher variation in student behaviors. In this study, we attempt to identify the factor structure at each level using teacher ratings on the Child Behavior Rating Scale (CBRS). The sample of 1,375 preschool children (49.2% males) was drawn from a longitudinal study in Singapore. The teacher ratings of these children were collected at three time points (average age at Time 1 was 58.5 months, Time 2 was 69.8 months, and Time 3 was 80.9 months). Using multilevel exploratory and confirmatory factor analyses, a three-factor model at the within level and a two-factor model at the between level best fit the data. At the within level, the three factors were identified as basic interpersonal skills, advanced interpersonal skills, and learning-related social skills. The three factors showed good internal consistency and differential correlates. The two factors at the between level may be related to teacher and classroom characteristics. This study provides empirical support for (a) differential factor structures of CBRS at the within and between levels; and (b) two distinct interpersonal skills. Future studies should aim at exploring the sources of between level variability. (PsycInfo Database Record (c) 2021 APA, all rights reserved).

Non-symbolic numerosities do not automatically activate spatial-numerical associations: Evidence from the SNARC effect.

The SNARC (spatial-numerical association of response codes) effect is the finding that people are generally faster to respond to smaller numbers with left-sided responses and larger numbers with right-sided responses. The SNARC effect has been widely reported for responses to symbolic representations of number such as digits. However, there is mixed evidence as to whether it occurs for non-symbolic representations of number, particularly when magnitude is irrelevant to the task. Mitchell et al. reported a SNARC effect when participants were asked to make orientation decisions to arrays of one-to-nine triangles (pointing upwards vs. pointing downwards) and concluded that SNARC effects occur for non-symbolic, non-canonical representations of number. They additionally reported that this effect was stronger in the subitising range. However, here we report four experiments that do not replicate either of these findings. Participants made upwards/inverted decisions to one-to-nine triangles where total surface area was either controlled across numerosities (Experiments 1, 2, and 4) or increased congruently with numerosity (Experiment 3). There was no evidence of a SNARC effect either across the full range or within the subset of the subitising range. The results of Experiment 4 (in which we presented the original stimuli of Mitchell et al.) suggested that visual properties of non-symbolic displays can prompt SNARC-like effects driven by visual cues rather than numerosity. Taken in the context of other recent findings, we argue that non-symbolic representations of number do not offer a direct and automatic route to numerical-spatial associations.

Automaticity of access to numerical magnitude and its spatial associations: The role of task and number representation.

Generally, people respond faster to small numbers with left-sided responses and large numbers with right-sided responses, a pattern known as the SNARC (spatial numerical association of response codes) effect. The SNARC effect is interpreted as evidence for amodal automatic access of magnitude and its spatial associations, because it occurs in settings where number is task-irrelevant and for different number formats. We report five studies designed to establish the degree to which activation of magnitude and its spatial associations is truly automatic and amodal. Based on the notion of autonomous automaticity, we hypothesized that the mere presence of a number form (to which participants made a color decision) would be sufficient to elicit the SNARC effect. However, we found no evidence of a SNARC effect for simple color decisions to Arabic digits (Experiment 1). There was a SNARC effect for color decision to digits when participants recognized the stimulus as a digit before responding (Experiment 2), participants viewed the digit for sufficient time before color onset (Experiments 3 and 5), or there was temporal uncertainty regarding color onset (Experiment 3). There was no SNARC effect for color decision to arrays of circles (Experiment 4), regardless of viewing time or temporal uncertainty. Overall, our results suggest that, while access to magnitude and its spatial associations is not automatic in an "all-or-none" sense, it is certainly at the strong end of automaticity, and that this automatic activation is modality dependent. Our findings are most supportive of conceptual coding accounts of the SNARC effect. (PsycINFO Database Record (c) 2019 APA, all rights reserved).

The role of control functions in mentalizing: dual-task studies of theory of mind and executive function.

Conflicting evidence has arisen from correlational studies regarding the role of executive control functions in Theory of Mind. The current study used dual-task manipulations of executive functions (inhibition, updating and switching) to investigate the role of these control functions in mental state and non-mental state tasks. The 'Eyes' pictorial test of Theory of Mind showed specific dual-task costs when concurrently performed with an inhibitory secondary task. In contrast, interference effects on a verbal 'Stories' task were general, occurring on both mental state and non-mental state tasks, and across all types of executive function. These findings from healthy functioning adults should help to guide decisions about appropriate methods of assessing ToM in clinical populations, and interpreting deficits in performance in such tasks in the context of more general cognitive dysfunction.