“Mathematics And Geometry Education With Collaborative Augmented Reality” by Kaufmann and Schmalstieg

  • ©Hannes Kaufmann and Dieter Schmalstieg

  • ©Hannes Kaufmann and Dieter Schmalstieg

  • ©Hannes Kaufmann and Dieter Schmalstieg




    Mathematics And Geometry Education With Collaborative Augmented Reality



    Construct3D is a three-dimensional geometric construction tool specifically designed for mathematics and geometry education. It is based on the mobile collaborative augmented reality system “Studierstube.” We describe our efforts in developing a system for the improvement of spatial abilities and maximization of transfer of learning. In order to support various teacher-student interaction scenarios we implemented flexible methods for context and user dependent rendering of parts of the construction. Together with hybrid hardware setups they allow the use of Construct3D in today’s classrooms and provide a test bed for future evaluations. Means of application and integration in mathematics and geometry education at the high school, as well as the university, level are being discussed. Anecdotal evidence supports our claim that Construct3D is easy to learn, encourages experimentation with geometric constructions, and improves spatial skills.


    The authors would like to thank Gerhard Reitmayr for his ongoing support, Klaus Feiler and Reinhard Steiner for integrating Boolean operations, and all of the Studierstube team. We also thank all participants in our pilot studies for their time. This work is sponsored in part by the Austrian Science Fund FWF under contract number P14470-INF and the EC under project number IST-2001-34204 (Lab@Future).


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