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…

Incorporating visual representations, rather than strictly relying on symbolic representations, is a research-based strategy for supporting fraction learning. However, students must also make transitions between visual and symbolic fraction representations to apply the conceptual understanding they gained from visual representations to symbolic…

This study investigates the effects of a synchronous online intervention that explicitly taught equivalent fractions using virtual manipulatives to fifth-grade students with learning disabilities. Employing a multiple probe across participants single-case design, this study provided 15 fraction lessons via video conferencing programs to three…

Augmented Reality (AR) revolutionizes educational approaches by providing an immersive experience that superimposes virtual 3D elements onto the physical environment. This integration of virtual and real worlds addresses the challenge of understanding abstract concepts by enabling three-dimensional visualization and interaction. This study aims to…

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…

Digital instructional tools, such as virtual manipulatives, have been widely adopted as an enhanced approach to inquiry-based learning. However, the optimal ratio of mobile devices to students in instructional settings remain controversial. This research introduced a counterbalanced quasi-experiment to compare the learning performance and…

Limited knowledge is currently available regarding the efficacy of mathematics education in online distance learning and the strategies that can be implemented to enhance its effectiveness. The purpose of this study is to investigate the changes in rural students' spatial skills when engaging in activities that necessitate the use of isometric…

Purpose: This paper aims to show how collective embodiment with physical objects (i.e. props) support young children's learning through the construction of liminal blends that merge physical, virtual and conceptual resources in a mixed-reality (MR) environment. Design/methodology/approach: Building on Science through Technology Enhanced Play…

Physical and virtual labs have unique capabilities that can influence how students learn from them. The purpose of this study was to examine the effect of physical and virtual manipulatives on students' learning of heat and temperature and to examine the influence of various combinations of physical and virtual manipulatives. A total of 205…

The purpose of this study is to examine the effect of using concrete and virtual manipulatives relevant fractions subject to 3rd grade students' understanding of fractions and motivation towards mathematics lessons. The study group consists of 61 students studying in three different classes at the 3rd grade level of a private primary school in…

Since one of the main goals of teaching geometry is to provide students with the opportunity to develop spatial reasoning, it is important to find the most suitable support for learning 3D geometry in elementary school. This paper compares Information and Communication Technology (ICT) and physical manipulatives support, with the aim to answer if…

There is a large volume of published studies describing the positive role of Augmented Reality (AR) in educational settings. However, there is a paucity of empirical work that explores its role in supporting primary school pupil's motivation and creativity. Moreover, numerous studies have confirmed that pupils have difficulties in learning…

Fraction knowledge has been found to predict later mathematical performance, but many students have difficulty with fractions. Virtual manipulatives (VM) and concrete manipulatives (CM) are effective approaches to teaching fractions, but previous research has not been able to reach a consensus on which manipulatives are the most effective. This…

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…

This paper reports on a case study of two elementary school students with mathematical learning disabilities (MLD) (ages 10 and 11) using augmented reality (AR), digital and physical modelling in mathematics class. MLD students worked on modelling geometric shapes (cubes, cuboids, squared pyramids, and octahedrons) and forms (polygons) by…