Contributions of preschool behavioral self-regulation and social skills to growth in different domains of early math knowledge.

The current study explored the relative contribution of individual differences in children's behavioral self-regulation and social skills (often referred to as learning-related skills) in the fall of preschool to children's rate of growth in different domains of early math knowledge through the spring of kindergarten. Participants were 684 children (Mage = 57.6 months, SD = 3.8, at Time 1 [fall of preschool]; 48% female; 43% Black, 32% White, 13% Latine, 11% multiracial, and 1% Asian). All children were from families with low incomes and lived in the midwestern United States. The math domains of informal numeracy, formal numeracy, and math language were assessed at four time points: fall and spring of preschool and fall and spring of kindergarten. Contrary to expectations, we did not find that either learning-related skill positively predicted rate of growth in math knowledge or observe differential relations by math domain. Rather, the relative contribution of behavioral self-regulation and social skills in the fall of preschool to rate of growth in math knowledge followed similar patterns across all math domains: an early advantage for children with higher initial social skills that stayed consistent over time (i.e., a nonsignificant slope effect) and an early advantage for children with higher initial behavioral self-regulation that diminished over time (i.e., a negative slope effect).

Predicting individual differences in preschoolers' numeracy and geometry knowledge: The role of understanding abstract relations between objects and quantities.

Preschoolers' mathematics knowledge develops early and varies substantially. The current study focused on two ontogenetically early emerging cognitive skills that may be important predictors of later math skills (i.e., geometry and numeracy): children's understanding of abstract relations between objects and quantities as evidenced by their patterning skills and the approximate number system (ANS). Children's patterning skills, the ANS, numeracy, geometry, nonverbal intelligence (IQ), and executive functioning (EF) skills were assessed at age 4 years, and their numeracy and geometry knowledge was assessed again a year later at age 5 (N = 113). Above and beyond children's initial knowledge in numeracy and geometry, as well as IQ and EF, patterning skills and the ANS at age 4 uniquely predicted children's geometry knowledge at age 5, but only age 4 patterning uniquely predicted age 5 numeracy. Thus, although patterning and the ANS are related, they differentially explain variation in later geometry and numeracy knowledge. Results are discussed in terms of implications for early mathematics theory and research.

ABENEARIO: A system for learning early maths with ABN.

ABN (Abierto Basado en Números-Open Calculation Based on Numbers) is a method for teaching basic arithmetic operations in primary education that has become popular in recent years and that is based on the decomposition of numbers through manipulative materials that encourage mental calculation. Currently there is limited number of tools that can be used to support the ABN method and so this article presents the design and development of two tools that facilitate learning with this method, a physical device, ABENEARIO-P, and a virtual device (web application), ABENEARIO-V, that complements the physical device. In addition, a study of the use of these tools was carried out with 80 learners (ages 7 and 9) and 9 teachers with a focus on ABENEARIO-V. The results of this study showed a positive evaluation of the tool by both learners and teachers, an adequate time to complete the mathematical operations assigned to learners and an improvement in performance as the tool was used. As a conclusion, it is important to provide adequate tools that can support teachers and learners in the practice with the ABN method as in the case of ABENEARIO-P and ABENEARIO-V. Limitations refer mainly to the context of the study, which was conducted at a time of severe social distance restrictions during the COVID-19 pandemic on touching physical devices or being able to gather a larger number of learners in the classroom.

Predicting mathematics achievement from subdomains of early number competence: Differences by grade and achievement level.

This study investigated the relative importance of three subdomains of early number competence (number, number relations, and number operations) in predicting later mathematics achievement in cross-sequential samples of pre-kindergarten (pre-K), kindergarten, and first-grade children (n = 150 at each grade). Ordinary least-squares (OLS) regression analyses showed that each subdomain predicted mathematics achievement at each grade level, controlling for the other two subdomains as well as background variables. All the subdomains explained a significant amount of variance in later mathematics achievement. Unconditional quantile regression analyses examined relations between number competencies and mathematics achievement at quantiles representing low (0.2), intermediate (0.5) and high (0.8) achievement. The subdomain of number operations was highly related to mathematics achievement for high achievers. For low achievers, future mathematics achievement was most highly related to number and number relations abilities in the pre-K sample and to number relations abilities in the kindergarten and first-grade samples. Findings highlight the unique importance of all three subdomains of early number competence for later mathematics achievement, but they show that some of the relations are contingent on achievement level.

Time spent playing predicts early reading and math skills through associations with self-regulation.

Children's play time has declined in recent decades, which could negatively impact early self-regulation-a vital component of school readiness. To date, studies have not fully explored how the time spent playing relates to children's self-regulatory skills, and in turn, their early reading and math competencies. Using data from time diaries and direct assessments of self-regulation, prereading, and math skills, this study examined how minutes spent playing at home predict these skills in a sample of 128 children followed from age four to five. Additionally, it considered whether self-regulation explained links between play time and prereading and math. Results showed that the time spent playing positively related to children's self-regulation. Moreover, through its association with self-regulation, play time had indirect effects on prereading and math skills measured one year later. Results suggest that fostering opportunities for play time during the preschool years may help to boost school readiness skills.

Latina Mothers' Cultural Experiences, Beliefs, and Attitudes May Influence Children's Math Learning.

Drawing from a qualitative approach and through individual pláticas (processes of co-constructing knowledge through dialogue) as a linguistic and cultural framework, this work explored informal contextual factors valued by Spanish-speaking Latina mothers of children, three to five years of age and enrolled in a nonprofit California preschool. Results revealed that Latina mothers have cultural forms of knowledge which impact their children's educational experiences and engage in direct and indirect numeracy environments. While personal math experiences and home practices differed, Latina mothers experience and navigate their children's learning based on sociocultural aspects, influencing how they support their children's math learning. This study drew from sociocultural learning theories that value learning embedded within meaningful learning experiences. Patterns of family learning have several implications for educational practice, especially for Latine families whose parent participation is typically not as visible as White American English-speaking parents.

What's in a question? Parents' question use in dyadic interactions and the relation to preschool-aged children's math abilities.

The cognitive complexity of adults' questions, particularly during shared book reading, supports children's developing language skills. Questions can be described as having low cognitive demand (CD; e.g., labeling, matching) or high-CD (e.g., comparing, predicting). Little is known about the relation between different types of parental questioning and children's math abilities. The current study examined the quantity of low- and high-CD and domain-specific math questions that parents posed to their 4-year-old children in three structured activities and how the frequency of those questions relates to children's concurrent math and language skills. Parent-child dyads (n = 121) were observed interacting with a picture book, grocery store toys, and a puzzle for about 5 min each, and children completed math and spatial assessments. Although the frequency with which parents asked questions did not relate to children's outcomes, parents' use of high-CD questions was associated with children's spatial skills, standardized math scores, and vocabulary skills after controlling for parental utterances, child utterances, child age, and family socioeconomic status. However, domain-specific math questions were not related to any child outcomes above and beyond parents' total questions. This study suggests that domain-general questions that vary in CD (low and high) are differentially related to children's math and language abilities, which can inform the ways in which parents engage in early learning opportunities with their children.

Preschoolers' broad mathematics experiences with parents during play.

The current study broadens our understanding of preschoolers' early math experiences with parents, recognizing that math knowledge and experiences are inclusive of numeracy as well as non-numeracy domains. Parents and preschoolers (N = 45) were observed exploring three domains of early mathematics knowledge (i.e., number, space, and pattern) during play in three activities (playing cards, building with blocks, and stringing beads, all with activity suggestions). Children were administered a broad math and numeracy measure and individual measures of spatial and patterning skills concurrently and 7 months later. Dyads explored math broadly across most activities but emphasized number more than space or patterning. In addition, there was more overall math exploration during card and bead play than during block play, with the greatest parent support during card play. Parent support was not linked to children's skills, although children's exploration of space and patterns related moderately to their concurrent spatial and pattern skills. Overall, parents and young children explored a variety of early math domains in guided play contexts, with an emphasis on numeracy. Future work should aim to increase the breadth and rigor of individual concepts that parents and preschoolers explore during play.

Understanding sources of individual variability in parents' number talk with young children.

Several studies suggest that parents' use of number words while talking with their children is positively related to children's understanding of certain mathematical concepts. In this study, we extended these findings and further examined several parent characteristics that could be related to individual differences in their number talk, including their subjective ratings of their math skills, preference for using math, beliefs about the importance of their children's math skills, and numerical approximation abilities, an early number skill present in children and adults. A sample of 44 5- and 6-year-old children and their parents completed a variety of laboratory-based tasks, including a 10-min free play session to assess number talk, a standardized math assessment for children, a nonsymbolic numerical comparison task for parents, and several questionnaires for parents. Parents' overall number talk was not related to children's performance on the math assessment; however, parents' use of numbers larger than 10 was positively and significantly related to children's math abilities even when controlling for parents' overall talk. Parents' large number talk was also associated with their numerical approximation abilities and subjective math ability, suggesting that math-specific characteristics of parents themselves can explain some of the individual variability in parents' use of number words, especially those larger than 10.

Neighborhood Economic Disadvantage and Children's Cognitive and Social-Emotional Development: Exploring Head Start Classroom Quality as a Mediating Mechanism.

Past research has shown robust relationships between neighborhood socioeconomic disadvantage and children's school achievement and social-emotional outcomes, yet the mechanisms for explaining these relationships are poorly understood. The present study uses data from 1,904 Head Start participants enrolled in the Head Start Impact Study to examine the role that classroom structural and relational quality play in explaining the association between neighborhood poverty and children's developmental gains over the preschool year. Results suggest that neighborhood poverty is directly related to lower levels of classroom quality, and lower gains in early literacy and math scores. Indirect relationships were also found between neighborhood poverty and children's social-emotional outcomes (i.e., approaches to learning and behavior problems) via differences in the physical resources and negative student-teacher relationships within classrooms. These findings highlight the need for policy initiatives to consider community characteristics as potential predictors of disparities in classroom quality and children's cognitive and social-emotional development in Head Start.

Developing and validating a measure of parental knowledge about early math development.

Parents' knowledge about the math skills that most preschool-aged children can develop might be an important component of the Home Math Environment (HME) as it might shape their math beliefs and efforts to support their preschoolers' math development. This study aimed to systematically develop measures of parents' knowledge about two critical early math topics, numeracy, and patterning, across five studies conducted with a total of 616 U.S. parents of 3- to 5-year-olds (66% mothers, 54% sons, 73% White, 60% college-educated). Parents were recruited via CloudResearch or a university database. Study 1 focused on item generation to revise a previous measure to capture a wider set of children's early math skills and analysis of the psychometric properties of the measure after it was completed by 161 parents via a survey. Study 2 included an analysis of a new sample of parents (n = 21) who responded to the measures twice across two weeks to explore test-retest reliability. The measures were iteratively revised, administered to new samples, and analyzed in Studies 3 (n = 45), 4 (n = 46), and 5 (n = 344). The measures demonstrated adequate internal consistency and validity (construct, convergent, and discriminant) in Study 5 such as being positively related to parents' numeracy and patterning beliefs about their children. Overall, the newly developed measures satisfy standards for the development of an adequate measure and can be used to better understand what parents know about early math development and how this relates to the HME that they facilitate.

Self-regulation in toddlers and the emergence of pre-academic disparities.

A growing body of research has examined how children's self-regulation during early and middle childhood mediates SES disparities in academic achievement. Evidence suggests that these self-regulation skills begin developing even earlier, during the toddler years, but more work is needed examining how different measures of self-regulation relate to key constructs such as socioeconomic status (SES) and toddlers' pre-academic skills. In this online study, we examine multiple approaches to measuring self-regulation using confirmatory factor analyses and assess the extent to which self-regulatory skills help explain SES differences in early math and language skills among a sample of 158 two- and three-year-old children. Self-regulation was assessed through a battery of parent- and examiner-ratings. Children's counting, cardinality, and vocabulary skills were measured online through direct assessments and parent surveys. Two self-regulation factors emerged representing parent-reported and observational measures, and only observational measures of self-regulation mediated associations between SES and children's math and language skills. Parent-reported self-regulation was not uniquely related to SES or children's pre-academic skills, underscoring the need for careful consideration of how self-regulation is measured among toddlers when examining its associations with pre-academic skills.

Examining Relations Between Parental Feedback Types and Preschool-Aged Children's Academic Skills.

Prior research has shown associations between parent and teacher feedback and school-aged children's academic outcomes. Specifically, studies have demonstrated that positive feedback (i.e., praise and/or affirmation) is beneficial for children's academic outcomes, while corrective feedback exhibits more mixed associations with children's academic outcomes. Little is known about the relations between parental feedback and younger children's academic skills. The present study examines the frequency of positive and corrective types of feedback provided by parents of 4-year-old children during semi-structured interactions, as well as how these feedback types relate to children's concurrent math and language skills and their change in math skills over a one-year period. Parent-child dyads (n=91) were observed interacting with a picture book, grocery store set, and magnet board puzzle for 5 to 10 minutes each, after which they completed math and language assessments. Parental affirmation was positively and corrective feedback was negatively associated with children's concurrent math outcomes, but only corrective feedback was uniquely negatively associated with children's math outcomes when controlling for affirmations. Parental praise was individually and uniquely positively associated with children's expressive vocabulary and change in math outcomes from age 4 to age 5. This study suggests that the relations between parental feedback and young children's academic outcomes depend on the type of feedback and the outcome of interest (i.e., math vs language), which can inform how parents may want to provide feedback to facilitate learning.

Parents' numeracy beliefs and their early numeracy support: A synthesis of the literature.

Parents' academic beliefs influence the academic support they provide to their children. In this chapter, we review the published literature on empirical studies conducted with parents of preschoolers and propose a conceptual model for how different parental numeracy beliefs uniquely and differentially influence parents' early numeracy support and vary with their demographic characteristics. Parents' numeracy beliefs about their children were more consistently related to their numeracy support than their other numeracy beliefs but were inconsistently related to demographic characteristics. Parents' numeracy beliefs about themselves were significantly related to their socioeconomic status and the extent to which their numeracy support focused on advanced early numeracy skills, but were not significantly related to how often they provided numeracy support. We also discuss parents' beliefs regarding where and how children should learn numeracy. Overall, evidence to date highlights the role of parents' beliefs about their children as well as their socioeconomic status. We discuss several future directions.

Exploring EFs and Math Abilities in Highly Deprived Contexts.

Executive functions (EFs)' development is critically affected by childhood adversity exposure. Although recent studies underlined the deleterious effects of early life stresses on working memory (WM) and inhibitory control, they were scarcely investigated in war context especially in relation with learning abilities. In order to fill this gap, we designed a research with the aim to evaluate EFs together with early math skills. In particular, we conducted a study involving 150 children divided into three groups: 48 Yazidis (M age = 71 months, SD = 6.59), 47 Syrian refugees (M age = 68.77 months, SD = 7, age), and 55 Italians (M age = 68.65 months, SD = 2.88) attending the third year of kindergarten in Italy or inserted in Psyco-Social-Support activities in Iraq. The children were evaluated with a variety of tasks assessing WM, inhibitory control, counting, digit-quantity mapping, and digit naming skills. The results indicated substantial differences both in EFs and early numerical abilities between the deprived groups and the Italian children. Data are discussed in terms of implications for children both exposed to mainstream school environments and living in socio-economically disadvantaged and deprived contexts.

Visual and Spatial Working Memory Abilities Predict Early Math Skills: A Longitudinal Study.

This study aimed to explore the influence of the visuospatial active working memory subcomponents on early math skills in young children, followed longitudinally along the first 2 years of primary school. We administered tests investigating visual active working memory (jigsaw puzzle), spatial active working memory (backward Corsi), and math tasks to 43 children at the beginning of first grade (T1), at the end of first grade (T2), and at the end of second grade (T3). Math tasks were selected according to the children's age and their levels of formal education: the "Battery for the evaluation of numerical intelligence from 4 to 6 years of age" (BIN 4-6) at T1 to test early numerical competence and the "Test for the evaluation of calculating and problem-solving abilities" (AC-MT 6-11) to test math skills at T2 and T3. Three regression models, in which the predictors were identified through a backward selection based on the use of the Bayesian information criterion (BIC) index, were performed to study the relationship between visual and spatial working memory and math ability at the three points in time. The results show that spatial working memory influences early numerical performance at T1, while early numerical performance is the unique predictor of math performance at T2. At the end of the second grade, the regression model reveals a relationship between math performance and both visual and spatial working memory and the attenuation of the importance of domain-specific predictors. The study depicts the different implications of visual and spatial working memory predictors over the children's development periods and brings additional evidence to the debate on the relationship between visuospatial working memory and math ability in young children.

A randomized controlled trial to examine the effect of two teaching methods on preschool children's language and communication, executive functions, socioemotional comprehension, and early math skills.

BACKGROUND: During the preschool years, children's development of skills like language and communication, executive functions, and socioemotional comprehension undergo dramatic development. Still, our knowledge of how these skills are enhanced is limited. The preschool contexts constitute a well-suited arena for investigating these skills and hold the potential for giving children an equal opportunity preparing for the school years to come. The present study compared two pedagogical methods in the Swedish preschool context as to their effect on language and communication, executive functions, socioemotional comprehension, and early math. The study targeted children in the age span four-to-six-year-old, with an additional focus on these children's backgrounds in terms of socioeconomic status, age, gender, number of languages, time spent at preschool, and preschool start. An additional goal of the study was to add to prior research by aiming at disentangling the relationship between the investigated variables. METHOD: The study constitutes a randomized controlled trial including 18 preschools and 29 preschool units, with a total of 431 children, and 98 teachers. The interventions lasted for 6 weeks, preceded by pre-testing and followed by post-testing of the children. Randomization was conducted on the level of preschool unit, to either of the two interventions or to control. The interventions consisted of a socioemotional and material learning paradigm (SEMLA) and a digitally implemented attention and math training paradigm (DIL). The preschools were further evaluated with ECERS-3. The main analysis was a series of univariate mixed regression models, where the nested structure of individuals, preschool units and preschools were modeled using random variables. RESULTS: The result of the intervention shows that neither of the two intervention paradigms had measurable effects on the targeted skills. However, there were results as to the follow-up questions, such as executive functions predicting all other variables (language and communication, socioemotional comprehension, and math). Background variables were related to each other in patterns congruent with earlier findings, such as socioeconomic status predicting outcome measures across the board. The results are discussed in relation to intervention fidelity, length of intervention, preschool quality, and the impact of background variables on children's developmental trajectories and life prospects.

Coming Together: R&D and Children's Entertainment Company in Designing APPs for Learning Early Math.

Information and Communication Technologies (ICT) have an increasing influence on the way we interact, learn, and live. The increase in teaching and learning methodologies that are mediated by ICT in the field of education and in the domestic settings encourages the design of new effective technological tools, supported by scientific research and development to improve student learning. The challenge psychology is facing in the education field is to promote those technologies and make them available to the education community. Technologies also would produce attractive items for users and realistic commercial issues for businesses. This also allows an effective transfer for scientific work, providing visibility to Research and Development. In this context, the main aim of the article is to describe the process to get an agreement between Babyradio (a children's entertainment company: https://babyradio.es/) and our research team, starting a collaborative work between two groups of people (Babyradio's technical designer and Psychologist-Engineers software designer), in order to create several educative applications (APPs) in the field of early mathematics cognition. The institutional framework of the relationship of the R&D project and a children's entertainment company is described. The article also focuses on experience in Psychology, Technological Innovation, and Entrepreneurship. In considering the efficiency of the agreement, we present different APPs designed for tablets and smartphone devices, adapted to the different operating systems (IOS, Android, Windows). APPs are designed to instill the cognitive fundamentals associated with early math learning for students aged 4 to 7 years. The study developed after this babyradio-university enterprise agreement contributes to the development of mathematics skills in children, aged 4-7 years, so that they can successfully meet the mathematics school requirements; it also contributes to encouraging a more positive attitude toward mathematics. This study also suggests how the education system and software and educational content developers' companies would manage verified instructional APPs, with a more realistic commercial perspective.

Early Executive Function and Mathematics Relations: Correlation Does Not Ensure Concordance.

In this chapter, we address one potentially overlooked component of the relation between executive function (EF) skills and early mathematics, a relation for which there is widespread empirical support. Evidence for this relation has, thus far, been largely correlational. Here we emphasize that because positive correlations do not guarantee concordance among all members of a sample or population, a small but meaningful number of children may either fare well in mathematics despite poor EF skills, or may have strong EF skills despite weak mathematics skills. We propose that attention to different profiles of discordance for EF and mathematics may help identify individualized learning needs for students at risk for mathematics difficulties and disabilities.

Distinct influences of affective and cognitive factors on children's non-verbal and verbal mathematical abilities.

Individual differences in children's math performance have been associated with math anxiety, attention problems, working memory (WM), and reading skills, but the mechanisms by which these factors jointly contribute to children's math achievement are unknown. Here, we use structural equation modeling to characterize the relation between these factors and their influence on non-verbal Numerical Operations (NO) and verbal Math Reasoning (MR) in 330 children (M=8.34years). Our findings indicate that WM plays a central role in both non-verbal NO and verbal MR, whereas math anxiety and reading comprehension have unique and more pronounced influences on MR, compared to NO. Our study elucidates how affective and cognitive factors distinctly influence non-verbal and verbal mathematical problem solving.