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This paper reports on the design of a prototype VRLE (Virtual Reality Learning Environment) named VRMath. VRMath is an online application that utilises VR (Virtual Reality) technology combined with the power of a Logo-like programming language and hypermedia and the Internet to facilitate the learning of 3-Dimensional (3D) geometry concepts and processes.(More)
This paper reports on five primary school students' explorations of 3D rotation in a virtual reality learning environment (VRLE) named VRMath. When asked to investigate if you would face the same direction when you turn right 45 degrees first then roll up 45 degrees, or when you roll up 45 degrees first then turn right 45 degrees, the students found that(More)
Because of the complexity of 3D geometry (e.g., 3D transformations) and the constraints in our real environments (e.g., body movement and manipulation of objects), most young children have difficulty in learning 3D geometry concepts and processes. Therefore, in order to address this issue, a prototype virtual reality learning environment (VRLE) named VRMath(More)
This paper proposes and examines a semiotic framework to inform the use of technology in mathematics education. Semiotics asserts that all cognition is irreducibly triadic, of the nature of a sign, fallible, and thoroughly immersed in a continuing process of interpretation (Halton, 1992). Mathematical meaning-making or meaningful knowledge construction is a(More)
A consensus has emerged within the mathematics education community about the limitations of traditional approaches for teaching and learning 3D geometry. Therefore, it has been suggested that new approaches based on the use of computers need to be adopted. One such new approach that has been proposed utilises Virtual Reality Learning Environment (VRLE).(More)
With the advancement of new technologies, this author has in 2010 started to engineer an online learning environment for investigating the nature and development of spatial abilities, and the teaching and learning of geometry. This paper documents how this new digital learning environment can afford the opportunity to integrate the learning about 3D shapes(More)
There are many powerful ideas in the use of computer graphics to aid learning and teaching in mathematics. One such powerful idea is the trend toward the utilisation of learning environments with real-time 3D visualisation and accessibility to the Internet that enable students to express their own ideas, engage in multiple knowledge representations and(More)
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