Early Mathematical Skills Research Articles

Closing the gap: Efficacy of a tablet intervention to support the development of early mathematical skills in UK primary school children

The efficacy of a hand-held tablet technology intervention with learner-centred interactive software aimed at supporting the development of early maths skills was evaluated in four studies conducted in three UK primary schools. Immediate and sustained gains in mathematics were determined by comparing maths performance before, immediately after, and 5-months after the intervention. The impact of the child's first language, socio-economic status and basic cognitive skills (non-verbal intelligence, memory, processing speed and receptive vocabulary) on learning gains was also explored. In total, 133 pupils aged 4–7 years took part. Class teachers implemented the maths intervention for a specified period of time. Results showed significant immediate and sustained learning gains following the intervention, particularly for children identified as low-achievers. No significant effect of child's first language or socio-economic status was found but children with weaker memory skills demonstrated stronger learning gains. Overall, these findings indicate that tablet technology can provide a form of individualised effective support for early maths development, when software is age appropriate and grounded in a well-designed curriculum. Apps that incorporate repetitive and interactive features might help to reduce cognitive task demands, which could be particularly beneficial to low-achievers and could help to close the gap in early maths attainment from the start of primary school.

Executive Function Skills, Early Mathematics, and Vocabulary in Head Start Preschool Children

ABSTRACTResearch Findings: The contribution of 3 executive function skills (shifting, inhibitory control, and working memory) and their relation to early mathematical skills was investigated with preschoolers attending 6 Head Start centers. Ninety-two children ranging in age from 3 years, 1 month, to 4 years, 11 months, who were native English or Spanish speakers were assessed for these executive function skills as well as their receptive vocabulary skills and early mathematical abilities using the Child Math Assessment (Starkey, Klein, & Wakeley, 2004), which captures an array of skills across 4 domains. Hierarchal regression analyses revealed that inhibitory control and working memory made unique contributions to children’s early mathematical abilities in the domains of numeracy, arithmetic, spatial/geometric reasoning, and patterning/logical relations after we controlled for age, receptive vocabulary, and previous Head Start experience. Furthermore, receptive vocabulary also accounted for significant variance in children’s early mathematical abilities above and beyond executive function skills. No group differences emerged between English-only and dual language learners on the fit of the regression models. Practice or Policy: These findings extend previous research highlighting the interface of executive function skills and mathematical learning in early childhood with further evidence to support this relationship beyond early numeracy and counting using a broad measure of critical early math skills. In addition, the intricate role of language in the development of early mathematical competence is considered. Implications of these findings for scaffolding executive function skills and vocabulary within prekindergarten math curricula are discussed, with particular consideration for children from low socioeconomic backgrounds.

Reading, Mathematics and Fine Motor Skills at 5Years of Age in US Children who were Extremely Premature at Birth.

Objectives The prevalence of extreme prematurity at birth has increased, but little research has examined its impact on developmental outcomes in large representative samples within the United States. This study examined the association of extreme prematurity with kindergarteners' reading skills, mathematics skills and fine motor skills. Methods The early childhood longitudinal study-birth cohort, a representative sample of the US children born in 2001 was analyzed for this study. Early reading and mathematics skills and fine motor skills were compared among 200 extremely premature children (EPC) (gestational age <28 wks or birthweight <1000g), 500 premature children (PC), and 4300 term children (TC) (≥37wks or ≥2500g). Generalized linear regression analyses included sampling weights, children's age, race, sex, and general health status, and parental marital status and education among singleton children. Results At age 5years, EPC were 2.6(95% CI 1.7-3.8) times more likely to fail build a gate and were 3.1(95% CI 1.6-5.8) times more likely to fail all four drawing tasks compared to TC (p values <0.001). Fine motor performance of PC (failed to build a gate, 1.3[95% CI 1.0-1.7]; failed to draw all four shapes, 1.1[95% CI 0.8-1.6]) was not significantly different from TC. Mean early reading scale score (36.8[SE:1.3]) of EPC was 4.0 points lower than TC (p value<0.0001) while mean reading score (39.9[SE:1.4]) of PC was not significantly different from TC (40.8[SE:1.1]). Mean mathematics scale score were significantly lower for both EPC (35.5[SE:1.0], p value<0.001) and PC (39.8[SE:0.8], p value=0.023) compared to TC (41.0[SE:0.6]). Conclusions for Practice Extreme prematurity at birth was associated with cognitive and fine motor delays at age 5years. This suggests that based on a nationally representative sample of infants, the biological risk of extreme prematurity persists after adjusting for other factors related to development.

Effects of Individualized Education Programs on Cognitive Outcomes for Children with Disabilities in Head Start Programs

ABSTRACTThis study investigated the impact of Head Start, disability status, and receipt of an Individualized Education Program (IEP) on early language, literacy, and mathematics skills for low-income children with language, cognitive, emotional/behavioral, sensory, and physical disabilities. Secondary analysis of data was performed on a sample of children with disabilities (N = 570) drawn from the Head Start Impact Study, a nationally representative study of approximately 5,000 children randomly assigned to Head Start or non–Head Start programs. Results of ordinary least squares regression analyses indicated that Head Start participation enhanced outcomes for children with multiple disabilities; language, literacy, and mathematics skills at age 5–6 years were higher for these children compared to non–Head Start attendees. Head Start children with disabilities were more likely to have an IEP, though IEP receipt was associated with lower language, literacy, and mathematics scores among all children. There is a need to ensure that Head Start, and programs similar to Head Start, are more widely available to provide comprehensive, quality early childhood programming to children with cumulative risk factors (low income, multiple disabilities). Future research should clarify why IEP receipt was associated with poorer cognitive outcomes.

Fine Motor Skills Predict Maths Ability Better than They Predict Reading Ability in the Early Primary School Years.

Fine motor skills have long been recognized as an important foundation for development in other domains. However, more precise insights into the role of fine motor skills, and their relationships to other skills in mediating early educational achievements, are needed to support the development of optimal educational interventions. We explored concurrent relationships between two components of fine motor skills, Fine Motor Precision and Fine Motor Integration, and early reading and maths development in two studies with primary school children of low-to-mid socio-economic status in the UK. Two key findings were revealed. First, despite being in the first 2 years of primary school education, significantly better performance was found in reading compared to maths across both studies. This may reflect the protective effects of recent national-level interventions to promote early literacy skills in young children in the UK that have not been similarly promoted for maths. Second, fine motor skills were a better predictor of early maths ability than they were of early reading ability. Hierarchical multiple regression revealed that fine motor skills did not significantly predict reading ability when verbal short-term memory was taken into account. In contrast, Fine Motor Integration remained a significant predictor of maths ability, even after the influence of non-verbal IQ had been accounted for. These results suggest that fine motor skills should have a pivotal role in educational interventions designed to support the development of early mathematical skills.

Using an Assessment of Early Mathematical Knowledge and Skills to Inform Policy and Practice: Examples from the Early Grade Mathematics Assessment

This paper describes the development and intended uses of the Early Grades Mathematics Assessment (EGMA), which measures essential early mathematical knowledge and skills that are foundational to more sophisticated mathematical abilities, predictive of later achievement, and teachable. Administering the EGMA can provide policy makers, practitioners, and researchers with information about whether existing educational policies, curricular reforms or programs, and instructional interventions are supporting students in reaching important goals in mathematics. We highlight the utility of the EGMA results in three abbreviated illustrations of implementation studies in low-income countries. Recommendations for policy makers, practitioners, and researchers are provided.

Understanding the Program Effectiveness of Early Mathematics Interventions for Prekindergarten and Kindergarten Environments: A Meta-Analytic Review

ABSTRACTResearch Findings: The early childhood years are critical in developing early mathematics skills, but the opportunities one has to learn mathematics tend to be limited, preventing the development of significant mathematics learning. By conducting a meta-analysis of 29 experimental and quasi-experimental studies that have been published since 2000, this study extends beyond prior evaluations of early mathematics programs for prekindergarten and kindergarten environments by quantifying program effectiveness in terms of effect sizes and examining 6 aspects of these programs. We found an overall moderate to large effect size. There was a tendency for programs to produce larger effects when they (a) targeted a single content strand, (b) presented content 120 to 150 min per week, (c) designed programs for the prekindergarten environment, (d) presented content individually to children, and (e) used researcher-made mathematics assessments. Practice or Policy: Early mathematics programs can be designed to be both developmentally appropriate and highly effective. The goal of this meta-analysis was to reveal these programs to early development and education professionals so that they understand some of the factors that might explain why some produced stronger effects than others.

Reading and Mathematics Bound Together: Creating a Home Environment for Preschool Learning

&lt;p&gt;The combination of mathematics and reading in family reading time can positively impact children’s ability to make sense of representations in both mathematics and reading. Four families volunteered to participate in this field based inquiry to learn how to integrate mathematics and reading in parent-supported activities. Four parents and their preschool aged children together attended training sessions to learn and practice how to create a home environment supportive of both reading and mathematics. Each parent completed questionnaires about implementation of the four training sessions with their child. Parent responses were overwhelmingly positive regarding the suggested behaviors for creating a pro-reading/mathematics home environment. Parents reported that the reading and mathematics home instruction activities gave children learning opportunities from combining early mathematics skills and reading skills and they also learned new vocabulary. Home learning activities also helped children learn effortful control skills when reading and talking about mathematics storybooks. There was also rapport building through family conversations that were attributed to parents’ use of instructional activities.&lt;/p&gt;

Child Self-Regulation, Parental Secure Base Scripts, and At-Risk Kindergartners’ Academic Achievement

ABSTRACTResearch Findings: Early reading and mathematics skills predict later academic success, and child self-regulation and secure parent–child relationships are both predictors of early academic skills. Self-regulatory and family relationship factors have rarely been studied together as predictors of early academic success in populations of young children at risk for academic difficulties. This study examined child self-regulation and parents’ representations of parent–child relationships as predictors of young children’s academic achievement. Participants were 106 kindergartners attending charter schools that served impoverished neighborhoods in a large city. In a path analysis, child self-regulation and parental secure base script scores each uniquely predicted kindergartners’ academic achievement at the end of the school year when several key covariates were accounted for. Practice or Policy: Children’s self-regulation skills should be assessed at school entry to help identify the children at greatest risk for academic difficulties. The findings also provide further support for programs that promote healthy parent–child relationships and self-regulation prior to school entry.

Neonatal MRI is associated with future cognition and academic achievement in preterm children.

School-age children born preterm are particularly at risk for low mathematical achievement, associated with reduced working memory and number skills. Early identification of preterm children at risk for future impairments using brain markers might assist in referral for early intervention. This study aimed to examine the use of neonatal magnetic resonance imaging measures derived from automated methods (Jacobian maps from deformation-based morphometry; fractional anisotropy maps from diffusion tensor images) to predict skills important for mathematical achievement (working memory, early mathematical skills) at 5 and 7 years in a cohort of preterm children using both univariable (general linear model) and multivariable models (support vector regression). Participants were preterm children born <30 weeks' gestational age and healthy control children born ≥37 weeks' gestational age at the Royal Women's Hospital in Melbourne, Australia between July 2001 and December 2003 and recruited into a prospective longitudinal cohort study. At term-equivalent age ( ±2 weeks) 224 preterm and 46 control infants were recruited for magnetic resonance imaging. Working memory and early mathematics skills were assessed at 5 years (n = 195 preterm; n = 40 controls) and 7 years (n = 197 preterm; n = 43 controls). In the preterm group, results identified localized regions around the insula and putamen in the neonatal Jacobian map that were positively associated with early mathematics at 5 and 7 years (both P < 0.05), even after covarying for important perinatal clinical factors using general linear model but not support vector regression. The neonatal Jacobian map showed the same trend for association with working memory at 7 years (models ranging from P = 0.07 to P = 0.05). Neonatal fractional anisotropy was positively associated with working memory and early mathematics at 5 years (both P < 0.001) even after covarying for clinical factors using support vector regression but not general linear model. These significant relationships were not observed in the control group. In summary, we identified, in the preterm brain, regions around the insula and putamen using neonatal deformation-based morphometry, and brain microstructural organization using neonatal diffusion tensor imaging, associated with skills important for childhood mathematical achievement. Results contribute to the growing evidence for the clinical utility of neonatal magnetic resonance imaging for early identification of preterm infants at risk for childhood cognitive and academic impairment.

Mathematical skills and motor life skills in toddlers: do differences in mathematical skills reflect differences in motor skills?

This study examines possible relations between early mathematical skills and motor life skills in 450 toddlers aged two years and nine months. The study employs baseline data from the longitudinal Stavanger Project – The Learning Child. The children's mathematical skills and motor life skills were assessed by structured observation in the natural environments of kindergartens; authentic assessment. Two staff members independently observed each child during play and daily life activities over a period of three months. Consistent with recent studies of older children, the results revealed a significant relation between motor skills and mathematical skills. Children with weak, middle and strong motor life skills also exhibited low, medium or high levels of skills in mathematics. The differences between the groups yielded a moderate to large effect size (Cohen's d). The groups differ also for each of the six sections in the observation instrument (Counting and series of numbers, Enumeration, Shape and space, Pattern and order, Mathematical language, and Logical reasoning).

Remedial early numeracy education: can children identified as having a language deficiency benefit?

Growing attention has been paid to the possibility of supporting early numeracy in at-risk kindergartners. Furthermore, it is assumed that language proficiency is an important prerequisite in early maths skills. To examine whether remedial early numeracy education in kindergarten, which has been proven to be effective in general, is also beneficial for children with a language deficiency. Based on intensive selection, four different conditions were included: two groups received remedial education, one consisting of children being language proficient (N = 86) and one of children with a language deficiency (N = 26), and two groups followed the regular curriculum, one consisting of children being language proficient (N = 51) and one of children with a language deficiency (N = 24). Remedial education was for 1.5 school years (90 sessions, 30 min per session, twice per week), following the programme 'The Road to Mathematics'. During this period, the children receiving remedial education did not attend the regular maths lessons in the classroom, which were offered for at least 1 h per week. Effects were assessed for early numeracy and mathematical skills (operationalized as basic calculation fluency) in kindergarten and first grade. Three analyses of covariance (ANCOVAs) revealed that, when accounting for achievement at pre-test, children with a language deficiency who received remedial numeracy education performed better on early numeracy skills in kindergarten and first grade than kindergartners with a language deficiency that followed the regular curriculum. Furthermore, they were able to catch up with their language proficient peers in early numeracy. However, children with a language deficiency who received remedial numeracy education did not differ from children who followed the regular curriculum on mathematical skills, suggesting that benefits for numeracy did not generalize to more advanced skills of addition and subtraction. Since, in general, it can be concluded that early numeracy education is indeed effective for kindergartners with a language deficiency, this study finds evidence that intensive support is desirable for children with delayed or impaired language development.

Examining factor structures on the Test of Early Mathematics Ability — 3: A longitudinal approach

Assessment of early mathematics skills in young children is important both psychometrically and practically. The TEMA-3 (Ginsburg & Baroody, 2003) yields a total score (Math Ability Score) and provides useful information on children's overall mathematics performance, but not about performance in specific skill areas that are targeted by state early learning guidelines and by the National Council of Teachers of Mathematics (NCTM) and Common Core State Standards for Mathematics as important content for Understanding Number in early childhood. This study examined the factor structure of the TEMA-3 to examine whether items reflect the conceptual categories in the TEMA-3 Examiner's Manual (Ginsburg & Baroody, 2003) or a priori categories reflecting Understanding Number. Longitudinal data from 389 children (182 males), mean age 54.46months at first assessment, were obtained in fall and spring of pre-kindergarten, spring of kindergarten, and spring of 1st grade. Changes in factor structure are examined across measurement points. The a priori factor structure was found by confirmatory factor analysis to better fit the data. The numbers of factors identified increased across time. Subscale scores reflecting children's knowledge of specific mathematics concepts related to number concepts could enable teachers and parents to select activities to strengthen children's mathematical knowledge in those skill areas.

The comorbidity of learning difficulties and ADHD symptoms in primary-school-age children

Children having difficulties in acquiring early literacy and mathematical skills often show an increased rate of inattention, hyperactivity, and impulsivity. This study provides data on the comorbidity rates of specific learning difficulties and ADHD symptoms. We analyzed the data of 273 children with learning difficulties despite an at least average IQ, 57 children with low IQ, and 270 children without learning difficulties and average IQ (comparison group). We assessed children’s IQ and school achievement using standardized achievement tests. ADHD symptoms were assessed via parents’ ratings. Our results showed that only 5 % of both the control group and the group with solely mathematical difficulties fulfilled the criteria of an ADHD subtype according to the DSM-IV based on parents’ ratings. In contrast, this was the case in even 20 % of the children with difficulties in reading/writing and of those with low IQ. Compared to girls, boys in the control group had a 150% higher risk for matching the criteria of one of the ADHD subtypes in parents’ ratings, whereas boys with learning difficulties and those with low IQ had an even 200% to 600% higher risk for it. The relationship between learning difficulties and ADHD symptoms can be found predominantly in the inattentive type. Possible reasons for the results are discussed.

Development of early mathematical skills with a tablet intervention: a randomized control trial in Malawi.

Evaluation of educational interventions is necessary prior to wide-scale rollout. Yet very few rigorous studies have been conducted on the effectiveness of tablet-based interventions, especially in the early years and in developing countries. This study reports a randomized control trial to evaluate the effectiveness of a tablet intervention for supporting the development of early mathematical skills in primary school children in Malawi. A total sample of 318 children, spanning Standards 1–3, attending a medium-sized urban primary school, were randomized to one of three groups: maths tablet intervention, non-maths tablet control, and standard face-to-face practice. Children were pre-tested using tablets at the start of the school year on two tests of mathematical knowledge and a range of basic skills related to scholastic progression. Class teachers then delivered the intervention over an 8-weeks period, for the equivalent of 30-min per day. Technical support was provided from the local Voluntary Service Overseas (VSO). Children were then post-tested on the same assessments as given at pre-test. A final sample of 283 children, from Standards 1–3, present at both pre- and post-test, was analyzed to investigate the effectiveness of the maths tablet intervention. Significant effects of the maths tablet intervention over and above standard face-to-face practice or using tablets without the maths software were found in Standards 2 and 3. In Standard 3 the greater learning gains shown by the maths tablet intervention group compared to both of the control groups on the tablet-based assessments transferred to paper and pencil format, illustrating generalization of knowledge gained. Thus, tablet technology can effectively support early years mathematical skills in developing countries if the software is carefully designed to engage the child in the learning process and the content is grounded in a solid well-constructed curriculum appropriate for the child’s developmental stage.

Mathematics interventions for children and adolescents with Down syndrome: a research synthesis.

Many children and adolescents with Down syndrome fail to achieve proficiency in mathematics. Researchers have suggested that tailoring interventions based on the behavioural phenotype may enhance efficacy. The research questions that guided this review were (1) what types of mathematics interventions have been empirically evaluated with children and adolescents with Down syndrome?; (2) do the studies demonstrate sufficient methodological rigor?; (3) is there evidence of efficacy for the evaluated mathematics interventions?; and (4) to what extent have researchers considered aspects of the behavioural phenotype in selecting, designing and/or implementing mathematics interventions for children and adolescents with Down syndrome? Nine studies published between 1989 and 2012 were identified for inclusion. Interventions predominantly focused on early mathematics skills and reported positive outcomes. However, no study met criteria for methodological rigor. Further, no authors explicitly considered the behavioural phenotype. Additional research using rigorous experimental designs is needed to evaluate the efficacy of mathematics interventions for children and adolescents with Down syndrome. Suggestions for considering the behavioural phenotype in future research are provided.

Effect of Perceptual Functions Level on the Development of Pre-mathematical Concepts in Czech Pre-school Children

The aspects affecting the academic success of students in mathematics include the level of informal mathematical knowledge and communication skills. Therefore this study analyses the influence of the level of perceptual (visual and auditory) functions on the development of pre-mathematical concepts in 71 Czech pre-school children. The survey was carried out using a standardised foreign test of early mathematical skills and a test of reading and writing risks. The results confirmed the tightness of the relationship between the two variables, which can be described as “medium” addiction.

Race/Ethnicity and Early Mathematics Skills: Relations Between Home, Classroom, and Mathematics Achievement

ABSTRACTThis study used Early Childhood Longitudinal Study–Kindergarten Cohort data to examine influences of the home and classroom learning environments on kindergarten mathematics achievement of Black, Latino, and White children. Regardless of race/ethnicity, children who started kindergarten proficient in mathematics earned spring scores about 7–8 points higher. There was significant variability in the home and classroom learning environments of Black, Latino, and White children and associations with these children's mathematics scores. Nevertheless, reading at home was a significant predictor for spring mathematics scores for all groups. If children started kindergarten proficient in mathematics, the Latino-White mathematics gap, after controlling for home and classroom factors and other covariates, was no longer significant. However, the Black–White mathematics gap remained significant. If children did not start kindergarten proficient in mathematics, both the Latino–White and Black–White mathematics gaps remained significant.

Home Numeracy Environments of Preschoolers: Examining Relations Among Mathematical Activities, Parent Mathematical Beliefs, and Early Mathematical Skills

Research Findings: Early mathematical skills and knowledge are strongly related to long-term achievement, and yet the knowledge base regarding the mechanisms through which young children develop these skills and knowledge is limited. Although research has examined the relation of the home numeracy environment and children's early mathematics performance, results have been equivocal. The purpose of this study was 2-fold: (a) to describe parent-reported home mathematical activities and beliefs about mathematics and (b) to examine the relation between these constructs and preschool-age children's general school readiness skills as well as specific numeracy-related skills. Practice or Policy: Descriptive results suggest that parents engage in a range of mathematical activities in the home with varying frequency. Furthermore, results indicate relations between parent-reported mathematical activities and beliefs, but no statistically significant relations with preschool children's early mathematics performance were demonstrated.

Teaching Preschoolers to Count: Effective Strategies for Achieving Early Mathematics Milestones

Attention to early childhood mathematics instructional strategies has sharpened due to the relatively poor mathematics performance of U.S. students in comparison to students from other countries and research evidence that early mathematics skills impact later achievement. Early Childhood counting skills form the foundation for subsequent mathematics learning. In this article, we discuss the milestones of counting development and examine preschool classroom mathematics observations through the lenses of two CLASS Dimensions, Concept Development and Instructional Learning Formats. Recommendations for effective instructional strategies around counting and suggestions for incorporating mathematics instruction into storybook reading are provided.