Preschool students' mastery of early numeracy skills is important, so they enter kindergarten with the necessary prerequisite skills, which are predictive of achievement in later elementary grades. The purpose of this study was to examine the effects of a concrete-representational-abstract (CRA) instructional package on the foundational early…

Background: Early numeracy interventions including basic arithmetic are crucial for young students at risk for early mathematics difficulties (MDs), yet few studies have evaluated numeracy interventions in second grade with a randomized controlled design. Aim: This pre- and post-test randomized controlled study evaluated the effects of an…

The purpose of this study was to examine the effects of utilizing explicit instruction, point-of-view video modeling, and augmented reality technology to teach mathematics to students with disabilities. A multiple probe single-case research design was used. Three students with Learning Disabilities (LD) who were receiving special education…

Well-designed math apps can foster children's numeracy development. Although parents are interested in using math apps for their children, the quantity and variability in quality of apps can make app selection challenging. As such, it is important to know how parents evaluate numeracy content in math apps for their children. This study…

Teaching children with autism spectrum disorder (ASD) academic skills supports their future opportunities. For example, early number sense skills are predictive of future mathematical success for all children including children with ASD. Yet, research on foundational early childhood mathematics skills of children with ASD is limited. This study…

The shift from additive to multiplicative thinking is challenging for students. A professional learning program was developed that focused on an identified area of need by teachers, namely multiplicative thinking. Program content focused on concepts underpinning multiplicative thinking, pedagogical approaches, challenging tasks, and application to…

Research on teaching mathematics to children with autism spectrum disorder using parents as mediators is limited. The purpose of the present study was to carry out an initial evaluation of an adapted numeracy programme with three children with autism spectrum disorder from Arabic families in the UK by training and supporting their parents to…

A concerning number of students enter kindergarten facing an intractable variation of mathematics difficulties (MD). This study investigated the impact of an explicit, core kindergarten mathematics program on the mathematical outcomes of kindergartners who demonstrated risk for severe MD at kindergarten entry and examined whether these students…

A concerning number of students enter kindergarten facing an intractable variation of mathematics difficulties (MD). This study investigated the impact of an explicit, core kindergarten mathematics program on the mathematical outcomes of kindergartners who demonstrated severe MD at kindergarten entry and examined whether these students improved…

A quasi-experimental design in six kindergarten classrooms (n = 123 students) was used to study the effects of the KinderTEK iPad-based math program on the math achievement of students in general education classrooms. Student math outcomes in three treatment ("early start") classrooms were compared to math outcomes for students in three…

The "cardinality principle" (CP) is a conceptual basis of counting collections meaningfully and provides a foundation for understanding other key aspects of numeracy, such as the successor principle or counting-on to determine sums. Unfortunately, little research has focused on how best to teach the CP. One suggestion is that modeling…

Research Findings: This study evaluated the effects of an early mathematics intervention designed to engage preschool children, their teachers, and their families in an interactive mathematics game. Previous research shows that playing this specific type of linear board game results in increased numerical skills and understanding in young children…

Very little qualitative research has been carried out about the experiences of educators who deliver mathematics evidence-based teaching programmes to autistic students. Using a semi-structured format, we interviewed ten educators who had been delivering the Teaching Early Numeracy to Children with Developmental Disabilities (TEN-DD) programme for…

This paper reports on the longitudinal results over 12 months of 342 Grade 1 children from 57 schools in Sydney, Australia, who participated in the "Extending Mathematical Understanding" (EMU) Intervention Program. Their vulnerability in four whole number domains is described, and the extent to which this changed after 12 months. Overall…

Research Findings: Low-socioeconomic status (SES) (intervention group, n = 31; control group, n = 32) and middle/high-SES (reference group, n = 33) 5-year-old Chinese kindergartners were screened through SES and IQ test. Their number sense was examined over five time points. The pretest was conducted at the beginning of the fall semester, followed…