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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 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 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)
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)
This paper introduces an online 3D modeling environment named VRMath2 and discusses its applications. VRMath2 utilises a Logo programming language with a set of extended 3D primitives, to create 3D contents (in HTML5 format) in most modern web browsers. The 3D contents are rendered by X3DOM and VRMath2 can then export and publish the 3D contents in X3D(More)
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