Early literacy and early numeracy: the value of including early literacy skills in the prediction of numeracy development

The roles of mathematical language and emergent literacy skills in the longitudinal prediction of specific early numeracy skills

Mathematical language (i.e., content-specific language used in mathematics) and emergent literacy skills predict children's broad numeracy development. However, little work has examined whether these domains predict development of individual numeracy skills (e.g., cardinality, number order). Thus, the aim of the current study was to examine longitudinal relations among mathematical language, emergent literacy skills, and specific early numeracy skills. Participants included 114 preschool children aged 3.12 to 5.26 years (M = 4.17 years, SD = 0.59). Specifically, this study examined whether mathematical language and three emergent literacy skills (print knowledge, phonological awareness, and general vocabulary) in the fall of preschool predicted 12 individual early numeracy skills in the spring, controlling for age, sex, rapid automatized naming, parent education, and autoregressors. Results indicated that mathematical language predicted development of most of the early numeracy skills (e.g., set comparison, numeral comparison, numeral identification), but findings for emergent literacy skills were not robust. Among the three emergent literacy skills, only print knowledge was a significant predictor of development in some specific numeracy skills, including verbal counting, number order, and story problems. Results highlight the important role of mathematical language in children's numeracy development and provide the foundation for future work in designing interventions to improve early numeracy skills.

Parental stress and working situation during the COVID-19 shutdown - Effects on children's skill development

OBJECTIVE

This study examines whether parental emotional distress during the first pandemic-related school shutdown in 2020 in Germany affected the development of primary school students' mathematical skills and investigates changes in parents' working conditions as triggers of cascading stress processes.

BACKGROUND

The Family Stress Model (FSM) explains the mechanisms that mediate between families' structural conditions and children's developmental outcomes. Foundational works for this approach focus on historic events that instigate rapid structural changes which, in turn, undermine families' economic situation. The economic losses trigger stress processes. Research on the COVID-19 pandemic reports heightened levels of parental stress and negative impacts on children's cognitive and socioemotional development. This study examines the role of parental emotional distress during the COVID-19 shutdown on children's cognitive development. Expanding on the classical FSM, we hypothesize that changes in parents' working situation, rather than economic changes, may have triggered family stress processes during the shutdown, as federal support largely cushioned economic cutbacks in Germany.

METHOD

For the German National Educational Panel Study (NEPS), interviews were conducted with parents, and primary school students in Starting Cohort 1 were tested after the first shutdown in 2020. The database provides rich information from survey waves prior to the COVID-19 pandemic, allowing a longitudinal analysis of a sample of 1512 primary school students with ordinary least squares regression.

RESULTS

Parents' emotional distress during the pandemic had a robust negative effect on students' mathematical skills, even when controlling for prior parenting stress. Changes in parents' working conditions also had an effect on children's test scores, and the negative effect of working from home on the test scores was mediated by parents' emotional distress.

CONCLUSION

The COVID-19 pandemic was a historic event which, at least in Germany, challenged the mental health of many parents and, in turn, impaired the skill development of primary school students. We introduce the role of changes in working conditions as triggers of such processes.

The inferior fronto-occipital fasciculus correlates with early precursors of mathematics and reading before the start of formal schooling

Diffusion-weighted imaging studies in preschoolers have almost exclusively been done in the field of reading. As a result, virtually nothing is known about white matter tracts associated with individual differences in mathematics at this age. Studying the preschoolers' brain is crucial because it allows us to identify individual differences in brain anatomy without influences of formal mathematics and reading instruction. To fill this gap, we investigated for the first time before the start of formal school entry the associations between white matter tracts and precursors of mathematics and reading simultaneously. We also investigated whether these associations were specific to mathematics and to reading, or not. We focused on four bilateral white matter tracts (arcuate fasciculus (direct, anterior), inferior fronto-occipital fasciculus, inferior longitudinal fasciculus), which have been previously correlated with mathematical performance in older children and with reading performance in children of a similar age as the current study. Participants were 56 5-year-old children (Mage = 67 months; SD = 1.8), none of which received formal instruction. Our results showed an association between the bilateral inferior fronto-occipital fasciculus and precursors of mathematics (numerical ordering, numeral knowledge) and reading (phonological awareness, letter knowledge). Follow-up regression analyses revealed that the associations found with the inferior fronto-occipital fasciculus were neither specific to mathematics nor specific to reading. These findings suggest that, already before the start of formal schooling, the inferior fronto-occipital fasciculus might be related to the neural overlap between mathematics and reading. This overlap potentially reflects one of their many shared mechanisms, such as the reliance on phonological codes or the processing of visual symbols, and these mechanisms should be exploited in future studies.

A systematic review of the impact of childhood vision impairment on reading and literacy in education

PURPOSE

This systematic review evaluates current literature on the impact vision impairment has on reading and literacy levels within education.

METHODS

Six databases were searched with inclusion criteria of trials or studies involving children who are blind or vision impaired, and impact on academic or school performance - including reading and literacy. 1262 articles were identified, with 61 papers undergoing full screening. Quality appraisal was performed using Critical Appraisal Skills Program (CASP) and seven articles deemed eligible for inclusion.

RESULTS

Included articles achieved a quality score of over 70 % using the CASP checklists. Direct comparison of articles was not possible due to methodological differences in assessing reading and literacy levels. All seven studies investigated aspects of reading speed, with additional measures of reading performance, such as reading reserve, comprehension, and reading accuracy.

DISCUSSION

Underlying trends highlighted students with a vision impairment do not perform at same level as their normally sighted peers with respect to reading performance - in terms of speed, but not ability. Additionally, early intervention to enhance literacy skills may help improve educational outcomes. Future direction should be aimed at identifying specific obstacles to learning these students face and providing interventions to improve academic outcomes.

Variability in the age of schooling contributes to the link between literacy and numeracy in Côte d'Ivoire

Literacy and numeracy are correlated throughout development, however, our understanding of this relation is limited. We explored the predictors of literacy and numeracy covariance (i.e., shared fluency between literacy and numeracy) in children (N = 1167, girls = 563) in rural Côte d'Ivoire, with specific focus on how developmental timing of instruction may relate to covariance. Many Ivorian children experience late enrollment and grade repetition, leading to variation in age-for-grade; participants were between grades 1 to 6, but their ages ranged from 5 to 15 (M = 9.19, SD = 2.07). Phonological awareness, numerical magnitude, ordinality, working memory, and inhibitory control were cognitive predictors of covariance. Age-for-grade was negatively related to covariance suggesting that covariance is related to timing of instruction.

Talk outside the box: Parents' decontextualized language during preschool years relates to child numeracy and literacy skills in middle childhood

Children's literacy and numeracy skills are fundamental for early academic performance and later academic success, mental health, and employment prospects in adulthood. Given that parents play a key role in promoting child development, identifying early parenting behaviors that predict literacy and numeracy skills is a research imperative. Emerging evidence suggests that parental use of decontextualized language (DL)-talk that requires cognitive abstraction and transcends the here and now-predicts children's literacy skills. However, its relation to numeracy remains underexplored. Accordingly, the current study examined how DL during interaction with children in infancy (T1) and preschool years (T2) relates to child literacy and numeracy in middle childhood (T3). Participants were 26 Irish mother-father-child triads (16 female children). At T1 and T2, participants engaged in 5-min interactions that were coded for DL. At T3, child literacy and numeracy were assessed using the Wechsler Intelligence Scale for Children-Fourth Edition and teacher report of child scores on national standardized tests. Controlling for child age and contextualized utterances, child reading in middle childhood was negatively related to maternal and child DL in infancy but was positively related to DL during preschool years, suggesting that the benefits of DL may become apparent later in development. Mothers', fathers', and children's DL during preschool years was also positively linked with child numeracy in middle childhood. Thus, embedding DL in conversation with children may have positive domain-specific and cross-domain effects on children's literacy and numeracy performance. Findings provide incentive for future research to examine relations between DL and children's school performance across a wider range of developmental domains.

How do socioeconomic attainment gaps in early mathematical ability arise?

Socioeconomic attainment gaps in mathematical ability are evident before children begin school, and widen over time. Little is known about why early attainment gaps emerge. Two cross-sectional correlational studies were conducted in 2018-2019 with socioeconomically diverse preschoolers, to explore four factors that might explain why attainment gaps arise: working memory, inhibitory control, verbal ability, and frequency of home mathematical activities (N = 304, 54% female; 84% White, 10% Asian, 1% black African, 1% Kurdish, 4% mixed ethnicity). Inhibitory control and verbal ability emerged as indirect factors in the relation between socioeconomic status and mathematical ability, but neither working memory nor home activities did. We discuss the implications this has for future research to understand, and work towards narrowing attainment gaps.

Early home learning support and home mathematics environment as predictors of children's mathematical skills between age 4 and 6: A longitudinal analysis using video observations and survey data

This large-scale and longitudinal study examines early home support for learning, formal/informal home mathematics activities, and their associations with children's mathematical development between age two and six. Data were collected in Germany between 2012 and 2018, N = 1184 (49% girls, 51% boys), and 15% of children had parents with a migration history. Linguistically and mathematically stimulating, attentive, and responsive parent-child engagement at age two predicted children's mathematical skills at age four and six (small-to-medium effect size). Both formal and informal home mathematical activities at age five predicted children's mathematical skills at age six (small effect size), and were associated with children's prior mathematics attainment. This study also provides indicators where individual differences and social circumstances are relevant to understanding different early mathematics outcomes.

Investigating associations between parent engagement and toddlers' mathematics performance

Early mathematics skills relate to later mathematics achievement and educational attainment, which in turn predict career choice, income, health and financial decision-making. Critically, large differences exist among children in early mathematics performance, with parental mathematics engagement being a key predictor. However, most prior work has examined mothers' mathematics engagement with their preschool- and school-aged children. In this Registered Report, we tested concurrent associations between mothers' and fathers' engagement in mathematics activities with their 2- to 3-year-old toddlers and children's mathematics performance. Mothers and fathers did not differ in their engagement in mathematics activities, and both parents' mathematics engagement related to toddlers' mathematics skills. Fathers' mathematics engagement was associated with toddlers' number and mathematics language skills, but not their spatial skills. Mothers' mathematics engagement was only associated with toddlers' mathematics language skills. Critically, associations may be domain-specific, as parents' literacy engagement did not relate to measures of mathematics performance above their mathematics engagement. Mothers' and fathers' mathematics activities uniquely relate to toddlers' developing mathematics skills, and future work on the nuances of these associations is needed.

Understanding the complexities of mathematical cognition: A multi-level framework

Mathematics skills are associated with future employment, well-being, and quality of life. However, many adults and children fail to learn the mathematics skills they require. To improve this situation, we need to have a better understanding of the processes of learning and performing mathematics. Over the past two decades, there has been a substantial growth in psychological research focusing on mathematics. However, to make further progress, we need to pay greater attention to the nature of, and multiple elements involved in, mathematical cognition. Mathematics is not a single construct; rather, overall mathematics achievement is comprised of proficiency with specific components of mathematics (e.g., number fact knowledge, algebraic thinking), which in turn recruit basic mathematical processes (e.g., magnitude comparison, pattern recognition). General cognitive skills and different learning experiences influence the development of each component of mathematics as well as the links between them. Here, I propose and provide evidence for a framework that structures how these components of mathematics fit together. This framework allows us to make sense of the proliferation of empirical findings concerning influences on mathematical cognition and can guide the questions we ask, identifying where we are missing both research evidence and models of specific mechanisms.

The Role of Working Memory in Early Literacy and Numeracy Skills in Kindergarten and First Grade

The working memory system supports learning processes such as acquiring new information and the development of new skills. Working memory has been found to be related to both early literacy and early numeracy in kindergarten and to linguistic and mathematical academic skills at older ages, but the contribution of each of the memory components at these ages is not yet clear. The purpose of this study is to examine the unique connections among the various systems of WM, early literacy, and early numeracy using various assessment tests of simple WM and complex WM, as well as a variety of tasks in math and language skills administered to the same 250 children in kindergarten and 150 children in first grade. Consistent with the predictions, significant relations among all components of memory and mathematics and language knowledge at both ages were found, although these connections were differential for the different types of tasks and memory systems. The connection of complex WM was stronger in its contribution and more significant in first grade in both mathematics and language domains. Complex WM resources were more important in early literacy at kindergarten age, while simple WM seems to be important in early numeracy. The theoretical and educational implications of these results are discussed accordingly.

Early rapid naming longitudinally predicts shared variance in reading and arithmetic fluency

A number of cognitive factors have been suggested to underlie development in reading and arithmetic skills. Although the two domains are strongly linked, only a few studies have investigated the processes that are shared between them during the early school years. Rapid automatized naming (RAN) has been identified as a strong predictor of a common fluency factor in reading and arithmetic. In the current study with 232 Norwegian children, we examined how RAN in preschool and Grade 1 relates to the shared and nonshared variance in arithmetic fluency and reading fluency in Grade 3. Furthermore, we examined whether related processing skills (phoneme awareness, working memory, speed of processing, and symbol knowledge) can account for the relationship between RAN and shared fluency-or if they predict variance that is unique to each domain. Our results show that RAN in both preschool and Grade 1 is a strong predictor of shared variance between reading fluency and arithmetic fluency measured several years later, whereas other predictors mainly relate to the nonshared parts of variance in the fluency outcomes. That is, control variables with the theoretical potential to explain some of RAN's relation to the overlap between reading and arithmetic fluency do not in fact account for this relationship. Our findings provide a starting point for future investigations of the mechanisms of rapid naming.

The relationship between phonological processing and arithmetic in children with learning disabilities

Phonological processing skills have not only been shown to be important for reading skills, but also for arithmetic skills. Specifically, previous research in typically developing children has suggested that phonological processing skills may be more closely related to arithmetic problems that are solved through fact retrieval (e.g., remembering the solution from memory) than procedural computation (e.g., counting). However, the relationship between phonological processing and arithmetic in children with learning disabilities (LDs) has not been investigated. Yet, understanding these relationships in children with LDs is especially important because it can help elucidate the cognitive underpinnings of math difficulties, explain why reading and math disabilities frequently co-occur, and provide information on which cognitive skills to target for interventions. In 63 children with LDs, we examined the relationship between different phonological processing skills (phonemic awareness, phonological memory, and rapid serial naming) and arithmetic. We distinguished between arithmetic problems that tend to be solved with fact retrieval versus procedural computation to determine whether phonological processing skills are differentially related to these two arithmetic processes. We found that phonemic awareness, but not phonological memory or rapid serial naming, was related to arithmetic fact retrieval. We also found no association between any phonological processing skills and procedural computation. These results converge with prior research in typically developing children and suggest that phonemic awareness is also related to arithmetic fact retrieval in children with LD. These results raise the possibility that phonemic awareness training might improve both reading and arithmetic fact retrieval skills. RESEARCH HIGHLIGHTS: Relationships between phonological processing and various arithmetic skills were investigated in children with learning disabilities (LDs) for the first time. We found phonemic awareness was related to arithmetic involving fact retrieval, but not to arithmetic involving procedural computation in LDs. The results suggest that phonemic awareness is not only important to skilled reading, but also to some aspects of arithmetic. These results raise the question of whether intervention in phonemic awareness might improve arithmetic fact retrieval skills.

The role of executive function in shaping the longitudinal stability of math achievement during early elementary grades

There is substantial rank-order stability in children's mathematical skills throughout development. Research has shown that children who enter school with relatively low math skills are unlikely to catch up to peers who begin kindergarten with more developed math skills. Emerging evidence suggests that children's executive function skills might play an important role in shaping the rate and stability of mathematical skill development during early development. Therefore in the present study, we used data from the Early Childhood Longitudinal Study-Kindergarten Cohort 2010-11-a prospective sample of over 18,000 children in the United States-to examine executive function as an antecedent to characteristics of growth in math skills and to test whether executive function moderates the longitudinal stability of math achievement from kindergarten through second grade. Latent growth curve models reveal that executive function is related to not only the level of math skills at school entry but also to the rate of growth in early elementary years. Moreover, we found that executive function moderated the stability of math achievement from kindergarten to second grade, suggesting that early executive function skills can serve as a compensatory mechanism for children who enter school with lower levels of mathematical skills. These findings might have important implications for narrowing gaps in math achievement during early elementary school.

Exploring the relationships between visuospatial working memory, math, letter-sound knowledge, motor competence, and gender in first grade children: A correlational study

Introduction

Development of crucial skills accelerates at the start of formal schooling, although, more knowledge is needed about the relationships between such skills. The current study explored the relationships between visuospatial working memory, letter-sound knowledge, math competence and motor competence, as well as potential effects of gender.

Materials and methods

The sample consisted of 85 (42 girls) 6 to 7 years old first grade children, and was measured with a test battery consisting of tests designed for each skill domain.

Results

Results demonstrated weak to moderate statistically significant correlations between visuospatial working memory, letter-sound knowledge, math competence, with no statistically significant gender differences. Two motor tasks measuring manual dexterity, placing bricks and building bricks, showed a weak statistically significant correlation.

Discussion

We argue that the findings demonstrate the relationships between these skills are low to moderate in first grade. Furthermore, we argue that these skills ought to be trained deliberately. The potential role of visuospatial working memory in procurement of novel skills in early childhood ought to be explored further in future studies.

Prediction from early childhood vocabulary to academic achievement at the end of compulsory schooling in Denmark

Prediction from early development to later achievement has the potential to improve clinical and educational service delivery as well as to inform developmental theory. In this longitudinal study, we asked how well can educational achievement measured in the final year (Grade 9, age 15) of compulsory education—both overall and for outcomes in the lowest 20%—be predicted from information available in the first 3 years of life, particularly early expressive vocabulary? Measures for 2,767 children (1,345 males, 1,422 females) aged 16 to 30 months on early expressive vocabulary, along with family socioeconomic status (parental education, occupation, and household income), other demographic information (gender, birth order, parental age, social benefits, etc.), timing and nature of early child care, and early home literacy experience, were used to predict performance on Danish Upper Secondary School Leaving Exam (USSLE) in Danish, English, Math, and Science. A cross-validated combination of Lasso (Least absolute shrinkage and selection operator) and ordinary least squares regression was the primary analysis for continuous outcomes and cross-validated Lasso and logistic regression for categorical outcomes. With respect to continuous outcome measures, the patterns of prediction varied with specific domain; R2 ranged from 9.4% to 21.4%. With respect to low USSLE performance, area under the curve statistics ranged from 64.1% to 72.2%. In all domains, early childhood expressive vocabulary made a significant unique contribution to the outcome when measured over the full range. The prediction was also significant for vocabulary to low Danish and English scores although not for Math and Science. Although the predictions were not strong enough for clinical diagnosis on their own, they demonstrate that low early vocabulary is an important and measurable risk condition that can direct early intervention and thus contribute to later educational attainment.

The relation of school achievement with self-esteem and bullying in Chilean children

Self-esteem and bullying and academic achievement measures are related in Western countries. However, evidence from other culture spaces is extremely sparse. To fill this gap, here, we analyze a wide range of relevant measures from 8,381 8- to 12-year-old Latin American children enrolled in the Early Childhood Longitudinal Survey in Chile. We considered the relationship of math achievement, receptive vocabulary, Grade Point Average (GPA), self-esteem and bullying. We found positive relationships between most achievement measures, and a negative relationship between self-esteem and bullying. Unlike the international literature, we found a stronger relationship between self-esteem and GPA, and a weaker relationship between bullying and GPA. Findings suggest that children’s learning and their experiences at school are connected. Results provide useful information for stakeholders.

Parental math input is not uniformly beneficial for young children: The moderating role of inhibitory control

Recent work has stressed the importance of considering child-level propensities and environmental opportunities when studying early math achievement; however, few studies investigate the interaction between these factors. This study examined whether children's inhibitory control moderates the association between parental math input and children's math performance. Parental math input via number talk and parent-reported frequencies of math activities were measured in 123 children (M age = 3.9 years) and one of their parents. High levels of parent number talk were associated with higher math achievement among children with higher inhibitory control. This association was not seen in children with lower inhibitory control, for children's vocabulary as the outcome measure, or for parents' overall talk or parent-reported math activities as the opportunity measures. Thus, children may differentially benefit from parental math input depending on their cognitive abilities and this association is specific to parental number talk and children's math abilities.

Combining Numerical Relational and Fundamental Motor Skills to Improve Preschoolers' Early Numeracy: A Pilot Intervention Study

The aim of this pilot study was to examine the immediate and long-term effects of an intervention program that aims to improve preschoolers' (N = 36, M = 4.49 years, SD = 0.35) early numeracy skills by combining the learning of numerical relational skills via story reading with fundamental motor skill practice. The intervention program was piloted with two study designs: a within-subject repeated-measures design with 18 children (study I), and a quasi-experimental study design with 18 children (study II). Children's early numeracy, symbolic magnitude processing, and fundamental motor skills were measured. Results demonstrated that children's early numeracy and especially numerical relational skills improved during the intervention, and the intervention had larger effects on children's early numeracy and numerical relational skills compared to the control period (study I) and control group (study II). Furthermore, the results from the delayed post-test demonstrated that the effects were maintained for 4.5-8 weeks after the intervention. These findings provide preliminary evidence that it is possible to support children's early numeracy skills with combined learning of numerical relational skills via story reading and fundamental motor skills despite the socioeconomic or language background, and narrow the gap between low- and average-performing children.

Early Numeracy and Literacy Skills Among Monolingual and Bilingual Kindergarten Children

Early numeracy and literacy skills are all the knowledge that children acquire spontaneously and independently before entering school and beginning formal learning. This knowledge is essential and forms the basis for the acquisition of reading and arithmetic in school. A bilingual child is a child who is fluent in two languages, as opposed to a monolingual child who is exposed to only one language. Bilingualism has been found to affect verbal and mathematical abilities in children, but only a few studies have focused on the early numeracy and literacy skills of preschoolers. This study examined the connection between early numeracy and literacy skills and among monolingual children as compared to bilingual children in preschool. Three hundred and two children aged 5–6years old were recruited from 74 kindergartens. Participants were divided into two groups: 151 monolingual children who spoke and were exposed to only one language (Hebrew) and 151 bilingual children who spoke and were exposed to two languages (the bilingual children spoke different languages). Monolingual children performed better than the bilingual children in most of the literacy tasks, except for phonological awareness, in which no differences were found between the groups. In addition, in the early numeracy tasks, a difference was found only in the task, which included linguistic knowledge, number knowledge, and counting tasks, in which the monolingual children performed better. Furthermore, stronger correlations were found between the early numeracy and literacy skills among the monolingual group compared to the bilingual group. The study findings stress the importance of strengthening linguistic abilities, such as vocabulary expansion in kindergarten among populations in which more than one language is spoken. Supporting these abilities can reduce the gap between bilingual children and their monolingual classmates before entering school.

Profiles of competence development in mathematics and reading in early secondary education

This article examines the development of reading and mathematical competence in early secondary education and aims at identifying distinct profiles of competence development. Since reading and mathematical competences are highly correlated both cross-sectionally and longitudinally, we expected to find a generalized profile of competence development with students developing parallel in reading and mathematical competences. Moreover, previous research confirmed individuals’ specific focus on one of the two domains, for example, in their interest, self-concept, or motivation. Also, differences in competence levels between both domains were found in cross-sectional studies. Therefore, we hypothesized that additional to the generalized profile, there are specialized profiles of competence development with students developing distinctively faster in one of the two domains. To identify both types of profiles, latent growth mixture modeling was used on a sample of 5,301 students entering secondary education from the German National Educational Panel Study. To demonstrate the robustness of the results, these analyses were repeated using different model specifications and subgroups with higher homogeneity (with students belonging to the highest track, i.e., “Gymnasium”). The results indicate only small to non-existent specialized profiles of competence development in all conditions. This finding of roughly parallel development of reading and mathematical competences throughout early secondary education indicates that potential specializations are less important at this point in students’ educational careers.

Inferencing Skill and Attentional Control Account for the Connection Between Reading Comprehension and Mathematics

We examined the relations of inference, vocabulary, decoding, short-term memory, and attentional control to reading comprehension and mathematics performance for first-grade students in the US (N = 83). The students were composed of 75% Hispanics, 15% Whites, and 6% Asian Americans. Students' performance on mathematics and reading comprehension were very strongly related (r = 0.88). Results from path analysis showed that inference (0.27 ≤ s ≤ 0.38) was independently and positively related to both reading comprehension and mathematics performance after accounting for short-term memory, attentional control, decoding, and vocabulary. Decoding was independently related to reading comprehension, but not mathematics, whereas vocabulary was independently related to mathematics, but not to reading comprehension. Attentional control was directly related to mathematics, and indirectly related to reading comprehension and mathematics via inference, vocabulary, and decoding, with a substantial total effect on reading comprehension and mathematics (0.56 respectively). Short-term memory was not directly nor indirectly related to reading comprehension and mathematics. Overall these results show that language and cognitive skills are shared resources of reading comprehension and mathematics, and highlight the roles of attentional control and inference skill in reading comprehension and mathematics.

The relation between home numeracy practices and a variety of math skills in elementary school children

A growing number of studies suggest that the frequency of numeracy experiences that parents provide at home may relate to children's mathematical development. However, the relation between home numeracy practices and children's numerical skills is complex and might depend upon both the type and difficulty of activities, as well as the type of math skills. Studies have also argued that this relation may be driven by factors that are not systematically controlled for in the literature, including socio-economic status (SES), parental math skills and children's IQ. Finally, as most prior studies have focused on preschoolers, it remains unclear to what extent there remains a relation between the home numeracy environment and math skills when children are in elementary school. In the present study, we tested an extensive range of math skills in 66 8-year-olds, including non-symbolic quantity processing, symbolic number understanding, transcoding, counting, and mental arithmetic. We also asked parents to complete a questionnaire about their SES, academic expectations, academic attitudes, and the numeracy practices that they provide at home. Finally, we measured their arithmetic fluency as a proxy for parental math skills. Over and above differences in socio-economic status, parental arithmetic fluency, child's IQ, and time spent with the child, we found a positive relation between the frequency of formal numeracy practices that were at or above grade level and two separate measures of mental arithmetic. We further found that the frequency of these advanced formal numeracy practices was related to parents' academic expectations. Therefore, our study shows that home numeracy experiences predict arithmetic skills in elementary school children, but only when those activities are formal and sufficiently challenging for children.

Longitudinal effects of family and school context on the development on emergent literacy skills in preschoolers

The negative influence of economic and socio-cultural disadvantages on students’ literacy performance has been widely documented. However, the ability of schooling to counterbalance the predictive effect exerted by inequality in the family context has been less investigated. This study aims to longitudinally investigate the relative weight of the child’s family context, i.e., parents’ occupation and education levels; home literacy; and the school context, in terms of didactical intervention, on emergent literacy skills. A total of 193 children in the last year of preschool participated in the longitudinal research. Each child was administered socio-economic measures (parental education [PE] and home literacy [HL] levels) and, at the beginning and end of the school year, tasks to assess his or her emergent literacy skills (phonological awareness and textual and notational skills). General linear model analyses were carried out. The results of the initial assessment showed that PE level was a powerful predictor of performance that was associated with significantly lower performance in children from disadvantaged backgrounds in all the tested skills. After a year of schooling, all participants benefitted from the teaching received, with significantly increased performance in phonological awareness, notational skills and textual competence. In addition, by comparing the scores of the three groups at the end of the school year, we verified that teaching exerted varying degrees of influence depending on the student group and tested ability.

Cross-domain associations between mathematical and narrative abilities in preschool-aged children

Both mathematical and narrative abilities are considered critical dimensions of children's kindergarten readiness skills and are emphasized in developmental standards and readiness assessments during the prekindergarten period. Yet, despite considerable opportunities available to educators to leverage potential cross-domain associations in their instruction, little is known about how component math skills are associated with narrative skills. The current study extends prior theoretical and empirical work on cross-domain associations by examining the extent to which component math skills, constituting a kindergarten readiness assessment battery, are associated with narrative comprehension skills in children aged 4-6 years. Two geographically distinct samples of children enrolled in a summer kindergarten readiness program in the United States (N = 108) were used to explore how early numeracy skills (e.g., counting, cardinality), math language, and patterning skills individually and together contributed to variance in narrative comprehension skills. Zero-order correlations indicated that math and narrative skills were significantly and moderately correlated, with cardinality and math language skills showing the strongest associations, followed by patterning and counting skills. Furthermore, results from a multiple regression analysis indicated that cardinality and math language each explained a significant and substantial proportion of variance in narrative comprehension skills when controlling for the other math skills. Implications for theoretical models of cross-domain development of children's cognitive skills are discussed.

Home activities and cognitive skills in relation to early literacy and numeracy: testing a multifactorial model in preschoolers

The aim of the present study was to test environmental and cognitive variables as possible cross-domain predictors of early literacy and numeracy skills. One hundred forty-eight preschool children (mean age = 64.36 months ± 3.33) were enrolled in the study. The battery included a home literacy and home numeracy questionnaire, measures and phonological and visuo-spatial working memory, tasks tapping response inhibition, and predictors of literacy (vocabulary, phonological awareness, letter knowledge) and numeracy (magnitude comparison, number knowledge) skills. The structural equation model indicated that verbal working memory and, to a lesser extent, inhibition represented cross-domain predictors, whereas home numeracy activities and visuo-spatial working memory explained additional variance only for early numeracy skills. Implications for parents and educators are discussed.

Using Assessment to Improve the Accuracy of Teachers' Perceptions of Students' Academic Competence

Teachers' perceptions of their students' academic skills can affect students' achievement and may be influenced by unrelated student characteristics such as socioeconomic status (SES). In this ad hoc randomized controlled trial, teachers (n = 28) were randomly assigned to receive training on using assessment to guide literacy instruction, Assessment-to-Instruction (A2i), or on Math PALS (control). Teachers rated students' (n = 446) academic competence. A2i teachers' ratings did not vary by SES, and their ratings correlated more strongly with students' literacy and mathematics assessment scores compared with those of the control teachers. Control teachers generally underestimated lower SES students' academic competence; underestimation was greater at more affluent schools. Teachers' ratings of students' academic competence predicted reading and mathematics outcomes. Thoughtful use of assessments to guide instruction appeared to improve the precision of teachers' ratings of students' academic competence, improve student outcomes, and reduce potential teacher biases about children from higher-poverty families.

How do phonological awareness, rapid automatized naming, and vocabulary contribute to early numeracy and print knowledge of Filipino children?

The current study investigated the contributions of phonological awareness, rapid automatized naming (RAN), and vocabulary to early numeracy and print knowledge developmental trajectories. A total of 128 young Filipino children were tracked three times at mean ages of 4.5, 5.0, and 5.5 years. The initial level (the intercept) and the growth rate (the slope) of early numeracy and print knowledge were estimated. Results showed that phonological awareness, vocabulary, and age significantly predicted the initial level of early numeracy. RAN and vocabulary explained significant variance in the growth rate of early numeracy. Phonological awareness, RAN, and vocabulary accounted for unique variance in the initial level of print knowledge. Results highlight the differential roles of phonological awareness, RAN, and vocabulary knowledge in the development of early numeracy and print knowledge among Filipino children.

Comorbidity Between Math and Reading Problems: Is Phonological Processing a Mutual Factor?

There is a relationship between reading and math skills, as well as comorbidity between reading and math disorders. A mutual foundation for this comorbidity could be that the quality of phonological representations is important for both early reading and arithmetic. In this study, we examine this hypothesis in a sample traced longitudinally from preschool to first grade (N = 259). The results show that phonological awareness does not explain development in arithmetic, but that there is an indirect effect between phoneme awareness in preschool and arithmetic in first grade via phoneme awareness in first grade. This effect is, however, weak and restricted to verbal arithmetic and not arithmetic fluency. This finding is only partly in line with other studies, and a reason could be that this study more strongly controls for confounders and previous skills than other studies.

The Impacts of COVID-19 on Early Childhood Education: Capturing the Unique Challenges Associated with Remote Teaching and Learning in K-2

Due to the COVID-19 pandemic, schools across North America closed to in person learning in March 2020. Since then, it has becoming increasingly clear that physical distancing will need to be prolonged in the 2020/2021 school year and possibly resumed in the future. In response, education ministries shifted teaching and learning online. Research is urgently needed to mitigate the effects of COVID-19 on teaching and learning, particularly in the foundational early primary years. This research directly responds to this concern by examining the unique challenges associated with remote teaching and learning in early primary contexts. Given that learning in kindergarten and early primary grades is largely play- and inquiry- based, there is a particular need to investigate the impacts of this move for teachers, parents, and children in K-2. As such, the purpose of this research is twofold: (1) to capture the unique challenges and unanticipated successes associated with remote teaching and learning, and (2) to utilize findings to provide recommendations for remote learning as well as strategies for supporting in-person learning in the COVID-19 era (and post COVID-19 era). Data collection included 45-min semi-structured interviews with K-2 teachers (n = 25) and parents (n =11). All participants were from Ontario Canada. Data were collected from April-June 2020. The sample size was chosen to ensure saturation while uncovering a variety of perspectives. Data were analyzed in NVivo using an emergent thematic approach (Patton, 2016). The emergent thematic approach to analysis revealed five themes: equity considerations, synchronous versus asynchronous teaching and learning, social and emotional effects on students, academic impacts, and effects on parents/families.

Infants' and Toddlers' Language, Math and Socio-Emotional Development: Evidence for Reciprocal Relations and Differential Gender and Age Effects

Toddlerhood is characterized by rapid development in several domains, such as language, socio-emotional behavior and emerging math skills all of which are important precursors of school readiness. However, little is known about how these skills develop over time and how they may be interrelated. The current study investigates young children’s development at two time points, with about 7 months in between, assessing their language, socio-emotional and math language and numeracy skills with teacher ratings. The sample includes 577 children from 18 until 36 months of age of 86 childcare classrooms. The results of the autoregressive path analyses showed moderate to strong stability of language, socio-emotional and math language and numeracy skills, although the magnitude of associations was smaller for the latter. The cross-lagged path analyses highlighted the importance of language and socio-emotional skills for development in the other domains. Differential relations were found for the autoregressive and cross-lagged paths depending on gender and age. Language skills appeared a stronger predictor of boys’ socio-emotional and math language and numeracy skill development compared to girls. Girls’ socio-emotional skills predicted growth in math. For boys, socio-emotional and math language and numeracy skills appeared to be unrelated. Language skills showed stronger relations with the development of math language and numeracy skills for younger children as compared to older children. Also, for older children math language and numeracy skills negatively predicted growth in their socio-emotional skills. The findings provide more insights in how language, math language and numeracy skills and socio-emotional skills co-develop in the early years and as such have important implications for interventions aimed to support children’s development.

The Multifactorial Nature of Early Numeracy and Its Stability

Early numeracy is a robust predictor of later mathematical abilities. So far, early numeracy has typically been presented as a unitary or two-factorial construct. Nevertheless, there is recent evidence suggesting that it may also be reflected by more basic numerical competences. However, the structure and stability of such a multifactorial model of early numeracy over time has not been investigated yet. In the present study, we used data from a large, longitudinal sample (N = 1292) in the United States with assessments of math ability in prekindergarten and kindergarten to evaluate both the factorial structure of early numeracy and its stability over time. Confirmatory factor analysis identified four distinct basic numerical competences making up early numeracy in prekindergarten: patterning/geometry, number sense, arithmetic, and data analysis/statistics. Stability as tested by means of measurement invariance indicated configural invariance of these four factors from prekindergarten to kindergarten. This reflected that early numeracy in kindergarten was made up by the same four basic numerical competences as in prekindergarten and thus seemed rather stable over the course of preschool. These findings may not only have implications for research on numerical cognition but particularly for diagnostic processes or the development of interventions in educational practice.

Predictors of Children's Early Numeracy: Environmental Variables, Intergenerational Pathways, and Children's Cognitive, Linguistic, and Non-symbolic Number Skills

Early numeracy skills in preschool years have been found to be related to a variety of different factors, including Approximate Number System (ANS) skills, children's cognitive and linguistic skills, and environmental variables such as home numeracy activities. The present study aimed to analyze the differential role of environmental variables, intergenerational patterns, children's cognitive and linguistic skills, and their ANS in supporting early math skills. The sample included 64 children in their last year of kindergarten and one parent of each child. Children were administered a battery of cognitive and linguistic tasks, and a non-symbolic comparison task as a measure of ANS. Parents were administered similar tasks assessing cognitive skills, math skills, and ANS skills (estimation and non-symbolic comparison), together with a questionnaire on home numeracy. Results showed that home numeracy predicted children's early math skills better than a number of parent and child variables. Considering children's skills, their ability in the non-symbolic magnitude comparison task was the strongest predictor of early math skills. Results reinforce the importance of the role of home numeracy activities and children's ANS skills above that of parents' math skills.

Longitudinally adaptive assessment and instruction increase numerical skills of preschool children

Social inequality in mathematical skill is apparent at kindergarten entry and persists during elementary school. To level the playing field, we trained teachers to assess children's numerical and spatial skills every 10 wk. Each assessment provided teachers with information about a child's growth trajectory on each skill, information designed to help them evaluate their students' progress, reflect on past instruction, and strategize for the next phase of instruction. A key constraint is that teachers have limited time to assess individual students. To maximize the information provided by an assessment, we adapted the difficulty of each assessment based on each child's age and accumulated evidence about the child's skills. Children in classrooms of 24 trained teachers scored 0.29 SD higher on numerical skills at posttest than children in 25 randomly assigned control classrooms (P = 0.005). We observed no effect on spatial skills. The intervention also positively influenced children's verbal comprehension skills (0.28 SD higher at posttest, P < 0.001), but did not affect their print-literacy skills. We consider the potential contribution of this approach, in combination with similar regimes of assessment and instruction in elementary schools, to the reduction of social inequality in numerical skill and discuss possible explanations for the absence of an effect on spatial skills.

Language difficulties are a shared risk factor for both reading disorder and mathematics disorder

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Disorders of language (DLD), reading (RD) and mathematics (MD) are highly comorbid.

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RD and MD is associated with familial dyslexia and preschool language difficulties.

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The comorbidity between RD and MD arises because of shared risk factors.

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Children with RD should be assessed for MD and vice versa.

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Interventions for MD should take account of likely language problems.

Disorders of reading and mathematics co-occur at greater than chance rates, but they are often studied separately. This article reports the reading and arithmetic outcomes at 9 years of age from a longitudinal study of 224 children at high risk for dyslexia. Using a cutoff at the 10th centile, groups of children with reading disorder (RD), mathematics disorder (MD), and comorbid reading disorder and math disorder (RD&MD) were identified. The risk of these disorders was elevated in children selected in preschool with language difficulties or at family risk for dyslexia. There was a high degree of comorbidity between RD and MD, and many cases—particularly in the comorbid group—also reached the diagnostic threshold for developmental language disorder (DLD). On measures of language, phoneme awareness, rapid automatized naming (RAN) digits, and rated inattention, there was a stepwise pattern: RD > MD > RD&MD. Poor language was associated with each disorder and appears to be a cognitive risk factor for RD, MD, and RD&MD. These findings suggest that there are shared genetic risk factors operating for both RD and MD.

What you say, and how you say it: Preschoolers' growth in vocabulary and communication skills differentially predict kindergarten academic achievement and self-regulation

The idea that language skills support school readiness, predicting later self-regulation and academic success, is widely accepted. Although vocabulary is often emphasized in the developmental literature, the ability to use language appropriately in the classroom, or social communication skills, may also be critical. This paper examined longitudinal contributions of children's vocabulary and social communication skills, from preschool to kindergarten, to kindergarten academic achievement (reading and math) and self-regulation (executive functions and learning behaviors). Participants were 164 children (14% Latinx, 30% Black, 56% White; 57% girls) enrolled in Head Start programs. Results revealed that initial levels and growth in vocabulary and communication skills predicted better academic achievement. Social communication skills uniquely predicted self-regulation, after accounting for vocabulary. We discuss potential mechanisms for these links and recommend that strategies to build social communication skills be incorporated in preschool interventions promoting school readiness.

Longitudinal Effects of the Home Learning Environment and Parental Difficulties on Reading and Math Development Across Grades 1-9

This study focuses on parental reading and mathematical difficulties, the home literacy environment, and the home numeracy environment as well as their predictive role in Finnish children’s reading and mathematical development through Grades 1–9. We examined if parental reading and mathematical difficulties directly predict children’s academic performance and/or if they are mediated by the home learning environment. Mothers (n = 1590) and fathers (n = 1507) reported on their reading and mathematical difficulties as well as on the home environment (shared reading, teaching literacy, and numeracy) when their children were in kindergarten. Tests for reading fluency, reading comprehension, and arithmetic fluency were administered to children in Grades 1, 2, 3, 4, 7, and 9. Parental reading difficulties predicted children’s reading fluency, whereas parental mathematical difficulties predicted their reading comprehension and arithmetic fluency. Familial risk was associated with neither formal nor informal home environment factors, whereas maternal education had a significant relationship with both, with higher levels of education among mothers predicting less time spent on teaching activities and more time spent on shared reading. In addition, shared reading was significantly associated with the development of reading comprehension up to Grades 3 and 4, whereas other components of the home learning environment were not associated with any assessed skills. Our study highlights that taken together, familial risk, parental education, and the home learning environment form a complex pattern of associations with children’s mathematical and reading skills.

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

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

Understanding the unique contributions of home numeracy, inhibitory control, the approximate number system, and spontaneous focusing on number for children's math abilities

Math abilities are important predictors of both children's academic achievement and their outcomes in adulthood such as full-time employment and income. Previous work indicates that parenting factors (i.e., parental education, parent math ability, frequency of math activities) relate to children's math performance. Further, research demonstrates that both domain-general (i.e., language skills, inhibitory control) and domain-specific (i.e., approximate number system acuity, tendency to spontaneously focus on number) cognitive predictors are related to math during early childhood. However, work to date has not examined all of these factors together to identify their unique contributions for young children's math abilities. Thus, in the present study we examine whether parent-level and child-level factors uniquely explain children's math abilities. To this end, 112 four-year-old children and one of their parents completed a battery of assessments and questionnaires. Results indicate that children's math performance is uniquely predicted by the frequency of home math activities reported by the parents, as well as children's own inhibitory control, approximate number system acuity, and tendency to spontaneously focus on number. These parent- and child-level factors provide independent targets for future interventions aimed at improving early math performance.

Examining the Factor Structure of the Home Mathematics Environment to Delineate Its Role in Predicting Preschool Numeracy, Mathematical Language, and Spatial Skills

A growing body of evidence suggests that the ways in which parents and preschool children interact in terms of home-based mathematics activities (i.e., the home mathematics environment; HME) is related to children's mathematics development (e.g., primarily numeracy skills and spatial skills); however, this body of evidence is mixed with some research supporting the relation and others finding null effects. Importantly, few studies have explicitly examined the factor structure of the HME and contrasted multiple hypothesized models. To develop more precise models of how the HME supports children's mathematics development, the structure of the HME needs to be examined and linked to mathematics performance. The purpose of this study was to extend prior work by replicating the factor structure of the HME (as one general HME factor and three specific factors of direct numeracy, indirect numeracy, and spatial) and using those factors to predict direct assessments of children's numeracy, mathematical language, and spatial skills. It was hypothesized that the general HME factor would be related to each direct assessment, the direct numeracy factor would be related to both numeracy and mathematical language, and the spatial factor would be related to spatial skills. Using a sample of 129 preschool children (M age = 4.71 years, SD = 0.55; 46.5% female), a series of confirmatory factor analyses were conducted. Results diverged somewhat from prior work as the best fitting model was a bifactor model with a general HME factor and two specific factors (one that combined direct and indirect numeracy activities and another of spatial activities) rather than three specific factors as had previously been found. Further, structural equation modeling analyses suggested that, in contrast to expectations, only the direct + indirect numeracy factor was a significant predictor of direct child assessments when accounting for age, sex, and parental education. These findings provide evidence that a bifactor model is important in understanding the structure of the HME, but only one specific factor is related to children's outcomes. Delineating the structure of the HME, and how specific facets of the HME relate to children's mathematics skills, provides a strong foundation for understanding and enhancing the mechanisms that support mathematics development.

Preschool teachers' language and vocabulary knowledge: Development and predictive associations for a new measure

The present study reports on the development, structure, and associations with practice for a new measure of preschool teachers' knowledge about language and vocabulary development and how to support this development in the classroom. Results from item response theory models with responses from a sample of 248 preschool teachers indicated that four scales measuring pedagogical content knowledge and content knowledge for vocabulary and language, respectively, had adequate psychometric characteristics. Confirmatory factor analyses further supported a four-factor structure, although all scales were correlated. In an overlapping sample of 94 preschool teachers, preliminary investigation of associations between knowledge and teachers' self-reported practices, observed instructional time allocation, and the quality of classroom language environments were mixed. Results indicate promise for the measure yet add to prior research suggesting that connections between knowledge and practice are highly complex and likely interwoven with many other influences on instructional decision-making in early childhood classrooms.

Parents' characteristics, the home environment, and children's numeracy skills: How are they related in low- to middle-income families in the Philippines?

The home numeracy environment is often assumed to play a role in early numeracy development. This study aimed to provide a comprehensive picture of the home numeracy environment of children living in low- to middle-income communities in the Philippines. Moreover, it examined the relations among various parents' characteristics, the home numeracy environment parents created, and their young children's numeracy skills. Data were collected from 290 families through parental questionnaires, numeracy tests for children, and numeracy tests for parents. Results of structural equation modeling showed that parents' education level, calculation fluency, own reported math activities, home numeracy resources and home numeracy activities all had direct associations with children's numeracy skills. Parents' calculation fluency and own math activities also had indirect links with children's numeracy skills through home numeracy resources and home numeracy activities. These findings provide insights into the question of which children are at risk for poor numeracy development and how to support children's early numeracy learning.