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)…

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…

Early academic skills and behavioral characteristics in students are predictive of later school achievement, but academics and behavior are commonly compartmentalized in research and practice. This study investigated to what extent first-grade early numeracy (EN), literacy, and behavior ratings predicted fourth-grade mathematics achievement. In…

Preverbal infants spontaneously represent the number of objects in collections. Is this 'sense of number' (also referred to as Approximate Number System, ANS) part of the cognitive foundations of mathematical skills? Multiple studies reported a correlation between the ANS and mathematical achievement in children. However, some have suggested that…

Developing students' reading and numeracy skills remain key goals of contemporary schooling. In Australia, the National Assessment Program -- Literacy and Numeracy (NAPLAN) tests have assessed these skills since 2008. Previous research found a significant gender gap in favour of females for the NAPLAN writing test, yet no study has examined…

The present study examined patterns of number-related utterances and actions directed to 9-month-old infants by their parents. An ethnically and economically diverse sample of 86 families participated in structured play sessions conducted separately with the mothers and fathers of each infant. Data were coded for eight math talk categories, and…

Repeating patterning proficiency predicts students' later mathematical proficiency. A comparative multi-case design enabled the present study to compare patterning success and strategy use for repeating patterns of 75 Norwegian 6-year-old grade 1 students. We provided the students with duplicate, extend, transfer, and unit isolation activities in…

Adults with low numeracy skills often start adult foundational education services or work with individual tutors. Using U.S. PIAAC 2012/2014/2017 data, this paper examines the characteristics, educational backgrounds, and numeracy proficiency of adult learners in adult foundational education, along with use of numeracy skills at home and how…

In two studies, we investigated whether using three-dimensional (3D) manipulatives during assessment aided performance on a variety of preschool mathematics tasks compared to pictorial representations. On measures of children's understanding of counting and cardinality (n = 103), there was no difference in performance between manipulatives and…

Understanding numerical magnitude is critical to the development of mathematics proficiency. Math interventions targeting magnitude knowledge have been shown to improve outcomes for students with math learning difficulties across grade levels. However, while recent studies have found that growth in magnitude knowledge mediates fractions…

Understanding numerical magnitude is critical to the development of mathematics proficiency, and math interventions targeting magnitude knowledge have been shown to improve outcomes for students with math learning difficulties across grade levels. While recent studies have found that growth in magnitude knowledge mediates fractions intervention…

In educational settings, reflective thinking is often overlooked, with an excessive emphasis on final answers, resulting in students needing more ability to evaluate and reconstruct their problem-solving processes. The ability for reflective thinking is required by students in solving problems, including numerical problems. This study uses a…

Competence with rational numbers is essential for mathematics proficiency in secondary mathematics. However, many students struggle with rational number concepts, and students with mathematics difficulties struggle even more. The purpose of this study was to examine the effects of an intervention that incorporated the use of explicit instruction…

The problem addressed in this study was approximately 50% of adult learners enrolled in adult basic education (ABE) classes do not have an educational learning gain in mathematics and numeracy from ABE coursework (National Reporting System, 2022) and were often not promoted to the next level (Smith, 2022). The purpose of this quantitative ex post…

There is an increased demand for useful measures that capture students' math learning during intervention. Similarly, there is an awareness of the importance of researchers observing guidelines for study quality in publishing intervention results, including information related to outcome measures. We investigated the characteristics of outcome…