Abstract
Construct3D is a three dimensional geometric construction tool based on the collaborative augmented reality system ‘Studierstube’. Our setup uses a stereoscopic head mounted display (HMD) and the Personal Interaction Panel (PIP) - a two-handed 3D interaction tool that simplifies 3D model interaction. Means of application in mathematics and geometry education at high school as well as university level are being discussed. A pilot study summarizes the strengths and possible extensions of our system. Anecdotal evidence supports our claim that the use of Construct3D is easy to learn and encourages experimentation with geometric constructions.
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Baudisch P. (1996). The Cage: Efficient Construction in 3D using a Cubic Adaptive Grid, in Proceedings of the 9th ACM Symposium on User Interface Software and Technology (UIST '96), 171-172.
Bell, J.T. and Fogler, H.S. (1995). The Investigation and Application of Virtual Reality as an Education Tool. In Proceedings of the American Society for Engineering Education 1995 Annual Conference, Session number 2513, Anaheim, CA.
Bowman, D.A. (1996). Conceptual Design Space-Beyond Walk-through to Immersive Design. In Bertol, D., Designing Digital Space, John Wiley & Sons, New York.
Bowman, D.A. (1999). Interaction Techniques for Common Tasks in Immersive Virtual Environments: Design, Evaluation, and Application. Ph.D. thesis, Virginia Polytechnic & State University.
Bricken, M. and Byrne, C. (1993). Summer Students in Virtual Reality: A Pilot Study on Educational Applications of VR Technology. In Virtual Reality, Applications and Explorations A. Wexelblat (ed). Cambridge, MA: Academic Press Professional.
Butterwort, J., Davidson, A., Hench, S. and Olano, T.M. (1992). 3DM: A Three Dimensional Modeler Using a Head-Mounted Display. Computer Graphics. Proceedings 1992 Symposium on Interactive 3D Graphics 25(2), pp. 135-138.
Byrne, C.M. (1996). Water on Tap: The Use of Virtual Reality as an Educational Tool. Unpublished Ph.D. Dissertation, University of Washington, College of Engineering.
Clark, J.H. Designing Surfaces in 3-D. Communications of the ACM (1976). 19(8), pp. 454-460.
Chapin, W.L., Lacey, T.A. and Leifer, L. (1994) DesignSpace: a Manual Interaction Environment of Computer Aided Design. In Proceedings of the ACM's SIGCHI 1994 Conference: CHI'94 Human Factors In Computing Systems.
Fisher, S.S., McGreevy, M., Humphries, J. and Robinett, W. (1986). Virtual Environment Display Systems. In Proceedings of the Workshop on Interactive 3D Graphics. Sponsored by ACM SIGGRAPH.
Fuhrmann, A. and Schmalstieg, D. (1999). Concept and Implementation of a Collaborative Workspace for Augmented Reality, GRAPHICS'99, Volume 18, No. 3.
Kiyokawa, K., Takemura, H. and Yokoya, N. (2000). SeamlessDesign for 3D Object Creation, IEEE MultiMedia magazine, 7(1), pp. 22-33. Online: http://www.crl.go.jp/ts/ts221/kiyo/cr/ ieeemultimedia.pdf
Larson, P., Rizzo, A.A., Buckwalter, J.G., van Rooyen, A., Kratz, K., Neumann, U., Kesselman, C., Thiebaux, M. and van der Zaag, C. Gender Issues in the Use of Virtual Environments. In CyberPsychology and Behavior, (1999). 2(2).
Liang, J. and Green M. (1994). JDCAD: a highly interactive 3D modeling system. Computers & Graphics 18(4), pp. 499-506.
Maier, P.H. (1994). Räumliches Vorstellungsvermögen. Peter Lang GmbH, Europäische Hochschulschriften: Reihe 6, Bd. 493, Frankfurt am Main.
Mine, M. (1996). Working in a Virtual World: Interaction Techniques Used in the Chapel Hill Immersive Modeling Program., UNC Chapel Hill Computer Science Technical Report TR96-029.
Mine, M. (1997). ISAAC: A Meta-CAD System for Virtual Environments. Computer-Aided Design, 29(8).
Mine, M., Brooks, F.P.Jr. and Sequin, C.H. (1997) Moving Objects in Space: Exploiting Proprioception in Virtual-Environment Interaction. Proceedings of SIGGRAPH 97, Los Angeles, CA.
Osberg, K. (1993). Virtual Reality and Education: A Look at Both Sides of the Sword, Technical R-93-7. Seattle: Human Interface Technology Lab. Online: http://www.hitl.washington.edu/publications/r-93-7/
Osberg, K. (1997). Spatial Cognition in the Virtual Environment, Technical R-97-18. Seattle: Human Interface Technology Lab. Online: http://www.hitl.washington.edu/publications/r-97-18/
Pierce, J.S., Forsberg, A., Conway, M.J., Hong, S., Zeleznik, R. and Mine M.R. (1997). Image Plane Interaction Techniques in 3D Immersive Environments.
Regenbrecht, H., Kruijff, E., Donath, D., Seichter, H. and Beetz, J. (2000). Virtual Reality Aided Modeler-3DUI testbed results. Paper submitted to EGVE'00.
Rizzo, A.A., Buckwalter, J.G., Neumann, U., Kesselman, C., Thiebaux, M., Larson, P. and van Rooyen, A. (1998). The Virtual Reality Mental Rotation Spatial Skills Project. In CyberPsychology and Behavior, 1(2), pp. 113-120.
Schmalstieg, D., Fuhrmann, A., Szalavári, Z., and Gervautz, M. (1996). 'Studierstube'-An Environment for Collaboration in Augmented Reality Extended abstract in Proceedings of Collaborative Virtual Environments '96, Nottingham, UK.
Szalavári, Z., and Gervautz M. (1997). The Personal Interaction Panel-A Two-Handed Interface for Augmented Reality, Computer Graphics Forum, 16, 3, pp. 335-346.
Szalavári, Z., Schmalstieg, D., Fuhrmann, A. and Gervautz, M. (1998). 'Studierstube' An Environment for Collaboration in Augmented Reality. In Virtual Reality-Systems, Development and Applications, 3(1), pp. 37-49.
Winn, W., and Bricken, W. (1992). Designing virtual worlds for use in mathematics education: The example of experiential algebra. Education Technology, 32(12), pp. 12-19.
Winn, W. (1997). The Impact of Three-Dimensional Immersive Virtual Environments on Modern Pedagogy. HITL Technical Report R-97-15. Discussion paper for NSF Workshop. Human Interface Technology Laboratory, University of Washington.
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Kaufmann, H., Schmalstieg, D. & Wagner, M. Construct3D: A Virtual Reality Application for Mathematics and Geometry Education. Education and Information Technologies 5, 263–276 (2000). https://doi.org/10.1023/A:1012049406877
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DOI: https://doi.org/10.1023/A:1012049406877