Assessing the association between parents' math talk and children's math performance: A preregistered meta-analysis.

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

The benefits of math activities depend on the skills children bring to the table.

Playing board games and other math activities can provide young children with opportunities to develop their math skills. However, it is critical to understand for whom these activities may be most beneficial. In two studies, we examine the extent to which foundational cognitive skills moderate the effects of playing math games on math skills. In Study 1, we look cross-sectionally at the association between parents' frequency of math activities with their 3- to 4-year-old children (N = 124) and children's math achievement, examining the extent to which children's skills moderate this relation. We find that frequent math activities are only associated with better math performance for children with better number knowledge. In Study 2, we test this experimentally by randomly assigning parents and children (N = 76) to play with a number-related board game, an active control board game, or a business-as-usual control group. Controlling for number knowledge, inhibitory control, and vocabulary at pretest, no differences in math skills at posttest were observed between the training groups. However, a significant interaction emerged between training group assignment and number knowledge, such that children with higher pretest number knowledge had higher posttest math scores when assigned to the number board game condition compared to the two control conditions, but no differences among conditions were seen for children with lower number knowledge. Collectively, these findings suggest that math activities may be most beneficial for math skills when children have stronger number knowledge and underscore the need for tailoring activities to children's current skill level. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

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.

Mothers' and fathers' engagement in math activities with their toddler sons and daughters: The moderating role of parental math beliefs.

Parents' beliefs about the importance of math predicts their math engagement with their children. However, most work focuses on mothers' math engagement with preschool- and school-aged children, leaving gaps in knowledge about fathers and the experiences of toddlers. We examined differences in mothers' and fathers' (N = 94) engagement in math- and non-math activities with their two-year-old girls and boys. Parents reported their beliefs about the importance of math and literacy for young children and their frequency of home learning activities. Parents of sons did not differ in their engagement in math activities from parents of daughters. Mothers reported engaging more frequently in math activities with their toddlers than fathers did, but the difference reduced when parents endorsed stronger beliefs about the importance of math for children. Even at very early ages, children experience vastly different opportunities to learn math in the home, with math-related experiences being shaped by both parent gender and parents' beliefs.

Exploring effects of an early math intervention: The importance of parent-child interaction.

We explore whether training parents' math skills or playing number games improves children's mathematical skills. Participants were 162 parent-child dyads; 88.3% were white and children (79 female) were 4 years (M = 46.88 months). Dyads were assigned to a number game, shape game, parent-only approximate number system training, parent-only general trivia, or a no-training control condition and asked to play twice weekly for 8 weeks. Children in the number game condition gained over 15% SD on an assessment of mathematical skill than did those in the no-training control. After 8 additional weeks without training, effects diminished; however, children of parents in the ANS condition underperformed those in the no-treatment control, which was partially explained by changes in the home numeracy environment.

Environmental influences on mathematics performance in early childhood.

Math skills relate to lifelong career, health, and financial outcomes. Individuals' own cognitive abilities predict math performance and there is growing recognition that environmental influences including differences in culture and variability in math engagement also impact math skills. In this Review, we summarize evidence indicating that differences between languages, exposure to math-focused language, socioeconomic status, attitudes and beliefs about math, and engagement with math activities influence young children's math performance. These influences play out at the community and individual level. However, research on the role of these environmental influences for foundational number skills, including understanding of number words, is limited. Future research is needed to understand individual differences in the development of early emerging math skills such as number word skills, examining to what extent different types of environmental input are necessary and how children's cognitive abilities shape the impact of environmental input.

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.

Teasing apart the unique contributions of cognitive and affective predictors of math performance.

Math permeates everyday life, and math skills are linked to general educational attainment, income, career choice, likelihood of full-time employment, and health and financial decision making. Thus, researchers have attempted to understand factors predicting math performance in order to identify ways of supporting math development. Work examining individual differences in math performance typically focuses on either cognitive predictors, including inhibitory control and the approximate number system (ANS; a nonsymbolic numerical comparison system), or affective predictors, like math anxiety. Studies with children suggest that these factors are interrelated, warranting examination of whether and how each uniquely and independently contributes to math performance in adulthood. Here, we examined how inhibitory control, the ANS, and math anxiety predicted college students' math performance (n = 122, mean age = 19.70 years). Using structural equation modeling, we find that although inhibitory control and the ANS were closely related to each other, they did not predict math performance above and beyond the effects of the other while also controlling for math anxiety. Instead, math anxiety was the only unique predictor of math performance. These findings contradict previous results in children and reinforce the need to consider affective factors in our discussions and interventions for supporting math performance in college students.

Actions may speak louder than words: Comparing methods of assessing children's spontaneous focusing on number.

Young children vary widely in the extent to which they attend to numerical information in their everyday environments without explicit prompting. This tendency to spontaneously focus on numerosity has been linked to children's math skills in past work. However, various measures have been used to quantify children's spontaneous focusing on numerosity (SFON) in previous studies, some of which rely on children's behavioral responses and others of which rely on verbal responses. Furthermore, these measures are not consistently related to one another or to children's math skills. In this study, we compared children's SFON as demonstrated through their behaviors and verbal responses during a set of imitation tasks in a sample of 107 3- and 4-year-olds. We found that children behaviorally demonstrate SFON (e.g., stamping the same number of spikes on a dinosaur as an experimenter) more frequently than they discuss number during the same tasks, but the two indices of SFON were significantly associated when accounting for variability in children's overall speech. Furthermore, we found that children's SFON through their actions was significantly predicted by prior math skills, whereas SFON through speech was not. These findings indicate that SFON may be a multifaceted construct, although more work is needed to extend these findings to other common SFON tasks.

A rational explanation for links between the ANS and math.

The proposal by Clarke and Beck offers a new explanation for the association between the approximate number system (ANS) and math. Previous explanations have largely relied on developmental arguments, an underspecified notion of the ANS as an "error detection mechanism," or affective factors. The proposal that the ANS represents rational numbers suggests that it may directly support a broader range of math skills.

Measuring Emerging Number Knowledge in Toddlers.

Recent evidence suggests that infants and toddlers may recognize counting as numerically relevant long before they are able to count or understand the cardinal meaning of number words. The Give-N task, which asks children to produce sets of objects in different quantities, is commonly used to test children's cardinal number knowledge and understanding of exact number words but does not capture children's preliminary understanding of number words and is difficult to administer remotely. Here, we asked whether toddlers correctly map number words to the referred quantities in a two-alternative forced choice Point-to-X task (e.g., "Which has three?"). Two- to three-year-old toddlers (N = 100) completed a Give-N task and a Point-to-X task through in-person testing or online via videoconferencing software. Across number-word trials in Point-to-X, toddlers pointed to the correct image more often than predicted by chance, indicating that they had some understanding of the prompted number word that allowed them to rule out incorrect responses, despite limited understanding of exact cardinal values. No differences in Point-to-X performance were seen for children tested in-person versus remotely. Children with better understanding of exact number words as indicated on the Give-N task also answered more trials correctly in Point-to-X. Critically, in-depth analyses of Point-to-X performance for children who were identified as 1- or 2-knowers on Give-N showed that 1-knowers do not show a preliminary understanding of numbers above their knower-level, whereas 2-knowers do. As researchers move to administering assessments remotely, the Point-to-X task promises to be an easy-to-administer alternative to Give-N for measuring children's emerging number knowledge and capturing nuances in children's number-word knowledge that Give-N may miss.

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.

When Not Choosing Leads to Not Liking: Choice-Induced Preference in Infancy.

The question of how people's preferences are shaped by their choices has generated decades of research. In a classic example, work on cognitive dissonance has found that observers who must choose between two equally attractive options subsequently avoid the unchosen option, suggesting that not choosing the item led them to like it less. However, almost all of the research on such choice-induced preference focuses on adults, leaving open the question of how much experience is necessary for its emergence. Here, we examined the developmental roots of this phenomenon in preverbal infants (N = 189). In a series of seven experiments using a free-choice paradigm, we found that infants experienced choice-induced preference change similar to adults'. Infants' choice patterns reflected genuine preference change and not attraction to novelty or inherent attitudes toward the options. Hence, choice shapes preferences-even without extensive experience making decisions and without a well-developed self-concept.

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.