Visual illusions provide a means of investigating the rules and principles through which approximate number representations are formed. Here, we investigated the developmental trajectory of an important numerical illusion--"the connectedness illusion," wherein connecting pairs of items with thin lines reduces perceived number without…

Humans count to indefinitely large numbers by recycling words from a finite list, and combining them using rules--for example, combining sixty with unit labels to generate sixty-one, sixty-two, and so on. Past experimental research has focused on children learning base-10 systems, and has reported that this rule learning process is highly…

When children first learn to count, what do they understand about the structure of the count system? The present study investigated English-speaking children's ability to generalize the rules that structure their count list to novel contexts. A total of N = 86 children (3;0-6;11) completed a battery of tasks aimed at measuring their understanding…

Executive functions (EF) are crucial to regulating learning and are predictors of emerging mathematics. However, interventions that leverage EF to improve mathematics remain poorly understood. 193 four-year-olds (mean age = 3 years; 11 months pre-intervention; 111 female, 69% White) were assessed 5 months apart, with 103 children randomised to an…

This study, involving 120 children (M[subscript age] = 4.25; SD = 0.83; 53% Female, 49% White, 23% multiracial, 16% Black, 9% Asian American, and 3% Latine) and their parents, examined parent talk constructs and their relation to children's early academic skills in 2021. Parents' talk was best represented as a three-factor structure (general,…

The aim of this study was to develop an instrument for assessing sixth-grade students' number sense skills in fractions and decimals. This study was conducted on 452 sixth graders (10-11 years old) from the western region of Turkey. The construct validity of the number sense test (NST) was examined via exploratory factor analysis (EFA) and…

Mastery of the cardinality principle (CP) is foundational for children's mathematical development. Children's age and subitizing and counting skills contribute to their CP acquisition. This study aimed to investigate the effectiveness of different types of instruction for supporting 3-4-year-olds' CP development and its interplay with child…

Recently, there have been calls to build a more inclusive knowledge base of the home numeracy environment (HNE) by diversifying the populations in our descriptive research. Given that Latine children are the fastest-growing population in the U.S. it is of the utmost importance to include Latine families and children in these efforts. The present…

When children are aged around 2 years, many of the early foundations of mathematical skills are developing. Understanding this is important to shed light on theories of mathematical development. Nevertheless, little research has investigated 2-year-olds' early mathematical abilities, with most research focussing on either infants (aged 0-1 years)…

The same and different routine offers an opportunity to build a strong foundation for future grades while also deepening the experiences of prekindergarten and transitional kindergarten students. Students have opportunities to make sense, share ideas, and engage in the ideas of others. We conjecture this type of experience supports students and…

Findings from previous work show that caregivers' math anxiety moderates the positive association between caregiver-child math activities and child math outcomes. Most of this research, however, has focused on elementary school children, primarily White populations, and used mainstream measures. The present study examined the associations between…

Substantial research has explored the connection between children's spontaneous focusing on numerosity (SFON) and their current and later mathematical achievement. However, the findings have been inconsistent, and no comprehensive investigation has yet been conducted. This meta-analysis examines the relation between SFON and mathematics…

The current meta-analysis investigates the longitudinal association between prior and subsequent mathematics performance, involving mathematics measured at three time points, and to identify potential factors that could moderate this association, including age, time lag, and types of mathematics. Our analysis included 105 studies, comprising 111…

Children rely on their Approximate Number System to intuitively perceive number. Such adaptations often exhibit sensitivity to real-world statistics. This study investigates a potential manifestation of the ANS's sensitivity to real-world statistics: a negative power-law distribution of objects in natural scenes should be reflected in children's…

Despite the clear and obvious need for adults to be proficient in numeracy, international studies suggest that many continue to struggle in this area. In Ireland, one of the main challenges continues to be the availability of effective adult numeracy education. This is a diverse sector, and little is known about the varied provision of adult…