Building activities can be used any time in the school year in mathematics classes to promote problem solving, perseverance, and to develop students' spatial thinking. Spatial visualization skills are the "ability to mentally manipulate, rotate, twist, or invert a pictorially presented stimulus object." The authors were guided by the…

An alternating treatments design was used to analyze the effects of concrete and virtual manipulatives on the duration and number of correctly solved linear equations by three middle school students with cognitive disabilities. Participants physically manipulated algebra tiles to solve an equation during the concrete manipulative condition. During…

The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is…

Technology is transforming children's lived experience with spatial play. In particular, parents may interact with children differently depending on whether they play together with tangible or digital materials. The present research examined whether the medium for play (tangible or digital) affected kindergarten-aged children's language experience…

Providing high-quality services to students with disabilities in rural settings can be challenging, as rural schools often lack resources both in and out of the classroom. One potential option to provide high-quality mathematics instruction to students with disabilities in rural areas is using virtual manipulatives and online instruction. In this…

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…

When thinking about digital equity, often what comes to mind are issues of access to digital technologies. Although that is a divide that must be conquered, once students have access to digital technologies, the next step is to ensure that they wield these technologies in such ways that they help to address the existing inequities in mathematics…

This case study aims to describe the learning characteristics of a child and evaluate his preferences for using physical manipulatives (PM) and virtual manipulatives (VM) to solve fraction problems. The participant in this study was a fourth-grade child. The child was given similar problems to solve using PM and VM. Data sources were observations…

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…

Proportional reasoning and knowledge of fractions are critical skills for completing algebra successfully, yet many students with mathematics learning disabilities (MLD) enter algebra classes without adequate prior knowledge of these skills. This study used a single-subject/case research, combined multiple-baseline and alternating-treatment design…

Research indicates that mathematics anxiety is among the factors that contribute to poor performance in mathematics. Learners have a risk of developing severe mathematical difficulties that might impede their socio-emotional development and future mathematics careers; therefore, an understanding of instructional strategies to reduce mathematics…

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…

This exploratory study attempts to determine problem solving steps in block based programming environments. The study was carried out throughout one term within Code.org. Participants were 15 6th grade secondary school students enrolled in an IT course at a public secondary school. Observations, screenshots and interviews were analyzed together to…

Limited research exists to target algebra instruction for students with intellectual and developmental disabilities (IDD). In this study, researchers compared the use of concrete -- with scaffolds added by researchers -- and virtual algebra tiles -- with inherent scaffolds -- to support the acquisition, fluency, and generalization of linear…

In collaborative learning, the intuition "the more device, the merrier" is somehow widely acknowledged, but little research has investigated the relationship between device-student ratio and the learning outcome. This study aims to investigate not only the main effect of different device-student ratio, also to identify the moderators in…