Virtual manipulatives are increasingly being used to support students with autism spectrum disorder and intellectual and developmental disability (ASD/IDD), in mathematics. However, to date, virtual manipulatives have not been examined or classified as an evidence-based practice for students with ASD/IDD, despite classifications of virtual…

Researchers established virtual manipulatives as an evidence-based practice for students with intellectual and developmental disabilities (IDD). However, much of the existing research for this population targets middle school students with IDD. This study examined a virtual number line paired with teacher modeling and the system of least prompts…

Mathematics education for students with and at-risk for a disability is important and high-quality, research-supported practices should be used for online teaching--whether intentional or as a result of a global pandemic. This single-case design multiple probe replicated across participants study explored the online delivery of an intervention…

Algebra is considered by many to be a gateway to higher-level mathematics and eventual economic success yet students with and without disabilities often struggle to develop algebra skills. This study builds on the limited understanding of how virtual manipulatives support students with disabilities in the area of algebra by investigating their use…

Manipulatives are an effective mathematical tool to support students with disabilities in the area of mathematics. Yet, there remain inconsistencies in terms of which type -- concrete or virtual -- is more effective for students with disabilities working on algebra related content and which type is preferred by students. The researchers used an…

The virtual-representational-abstract (VRA) instructional sequence presents as a viable mathematics intervention for students with disabilities, including students with autism spectrum disorder (ASD). Yet, to date, all research has been conducted face-to-face with students. However, virtual manipulatives provide an opportunity for educators to…

Manipulative-based instructional sequences--including both concrete and virtual manipulative instructional sequences--are evidence-based or research-based mathematical interventions for students with disabilities. However, as options for manipulative-based instructional sequences increase, educators need support in deciding the best approach. In…

A large number of students with and without disabilities--including students at-risk--are currently learning online through synchronous and/or asynchronous instruction. As such, it is important for educators to be equipped with evidence-based practices--or at the minimum research-based practices--that can be adapted or modified to teach students…

Research exists on mathematical interventions to support elementary students experiencing mathematical difficulties, yet little examines the provision of such interventions within an online learning environment. This study explored the online delivery of the virtual-representational-abstract (VRA) instructional sequence, taught via explicit…

Manipulatives offer students with disabilities access and support in classrooms. However, it is important for educators to be aware that concrete manipulatives are not the only option. Teachers serving students identified with a disability in the middle grades may consider selecting virtual manipulatives as supplement, complement, or in lieu of…

Little-to-no research examines the provision of targeted mathematical interventions to students struggling with mathematics in a virtual environment. And yet, the global pandemic of 2020--extending into 2021--found schools in such a scenario. This article reports two studies in which researchers explored the intervention package of explicit…

Basic mathematic skills at the early age are foundational for later learning. Many students with autism spectrum disorder (ASD) struggle in academic learning without sufficient support. Research in the area of concrete manipulatives--tangible representations of abstract concepts--has been found effective. In addition, promising research has…

Although often considered a more advanced area of mathematics, principles of algebra are taught throughout different mathematical concepts, and algebra is often considered gateway mathematical knowledge for more advanced mathematical concepts. For this reason, attention is needed toward making algebraic instruction more accessible to all types of…

Mathematics instruction for students with intellectual disabilities and autism is important. However, it is imperative for researchers and practitioners to focus on the maintenance of mathematical concepts and not just acquisition for these students. Through a single-case multiple probe across participants study, researchers explored an…

Mathematics education is an important but underexplored area of research for secondary students with mild intellectual disability. In this multiple probe across behaviors replicated across two participants study, the researchers explored the effectiveness of the virtual-representational-abstract (VRA) instructional sequence to support two…