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Visual immersive mathematics in 3D web

Published: 11 December 2011 Publication History

Abstract

Existing methods for cyber learning mathematics and geometry are restricted to a limited class of geometric objects, most of which are predefined in the system. Besides, no existing methods emphasize the geometric meaning of mathematic functions. Our research aims at improving learners' three-dimensional spatial abilities by providing an intuitive and efficient environment for learning mathematics and geometry, specifically, the geometric meaning of mathematic functions. We propose a new 3D web learning environment that does not restrict to a list of predefined primitive geometric objects, allows the learner to interactively create objects by defining their properties using analytical functions, and immerses the learner into the environment. The object properties, including geometry, visual appearance and physical properties, are created in their own coordinate domains and then assembled together to define a virtual shape. The shape definition is eventually a function scripts that can be rendered on any suitable graphics system. We have implemented our software using the function-based extension of the Virtual Reality Modeling Language (VRML) and Extensible 3D (X3D).

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Cited By

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  • (2024)Functional Curves and Surfaces: Algebraic Geometry Inspired Visuals in HydraProceedings of the 12th ACM SIGPLAN International Workshop on Functional Art, Music, Modelling, and Design10.1145/3677996.3678292(24-29)Online publication date: 2-Sep-2024
  • (2017)Teaching spatial geometry in a virtual world: Using minecraft in mathematics in grade 5/62017 IEEE Global Engineering Education Conference (EDUCON)10.1109/EDUCON.2017.7943032(1411-1418)Online publication date: Apr-2017
  • (2012)Interactive Visualization of Mathematics in 3D WebProceedings of the 2012 International Conference on Cyberworlds10.1109/CW.2012.24(122-129)Online publication date: 25-Sep-2012

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cover image ACM Conferences
VRCAI '11: Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
December 2011
617 pages
ISBN:9781450310604
DOI:10.1145/2087756
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 11 December 2011

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Author Tags

  1. 3D web
  2. shape modeling
  3. shared virtual reality

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View all
  • (2024)Functional Curves and Surfaces: Algebraic Geometry Inspired Visuals in HydraProceedings of the 12th ACM SIGPLAN International Workshop on Functional Art, Music, Modelling, and Design10.1145/3677996.3678292(24-29)Online publication date: 2-Sep-2024
  • (2017)Teaching spatial geometry in a virtual world: Using minecraft in mathematics in grade 5/62017 IEEE Global Engineering Education Conference (EDUCON)10.1109/EDUCON.2017.7943032(1411-1418)Online publication date: Apr-2017
  • (2012)Interactive Visualization of Mathematics in 3D WebProceedings of the 2012 International Conference on Cyberworlds10.1109/CW.2012.24(122-129)Online publication date: 25-Sep-2012
  • (2012)Guiding Intuitive Learning in Serious GamesProceedings of the 2012 Sixth International Conference on Complex, Intelligent, and Software Intensive Systems (CISIS)10.1109/CISIS.2012.205(911-916)Online publication date: 4-Jul-2012

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