Mathematics, virtual reality, and programming
Andy Yeh · QUT ePrints (Queensland University of Technology) · 2017
In this paper, an online virtual reality learning environment named VRMath2 is introduced. The epistemological underpinnings for the VRMath2 learning environment are presented to support its design of linking mathematics with programming in virtual reality microworlds. The fractal geometry, specifically the Koch snowflake and Siepiński triangle are demonstrated as applications in mathematics in this paper. By using the Logo programming language in VRMath2, many 2D or 3D fractals can be described, created and experimented in virtual reality space. And in doing so, mathematical understandings are developed and/or enhanced. There is great potential in using programming to create mathematical entities, particularly in 3D virtual reality space. VRMath2 is freely available online, and could be further explored as a teaching and learning resource for mathematics. However, more empirical studies about the use of VRMath2 learning environment should be evaluated to validate its theoretical underpinnings and to improve its practical applications in mathematics education.