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Construct3D: A Virtual Reality Application for Mathematics and Geometry
Education
Project duration: 1999-
Contact: Hannes
Kaufmann, Dieter
Schmalstieg
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Description
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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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Problem
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Our aim was not to create a professional 3D modelling package but
rather a simple and intuitive 3D construction tool in an immersive virtual
environment for educational purposes. Our main goal was to keep the user
interface as simple as possible to facilitate learning and efficient use.
The main areas of application of our system in mathematics and geometry
education are vector analysis, descriptive geometry and geometry in general.
These areas have not been specifically addressed by previous systems. |
Approach
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We discuss what was learned from the difficulties that arose during the
implementation process. The results of our pilot study with geometry students
actually using Construct3D are presented with an emphasis on suggested
improvements and new techniques that can be applied within other virtual
worlds. A discussion with emphasis on the implications and practical significance
of the findings and their limitations follows.
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Publication
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Images & Results
During our pilot study with 14 participants
we took several photos and composed some images of students working
with Construct3D.
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How users see the scene through their HMDs.
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The menu on the Personal Interaction Panel (PIP).
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Looking at the PIP sheet from underneath the HMD
(left) and looking at it through the HMD (right).
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Application: A tutor and student are working together
in Construct3D. Both are constructively solving an example from
vector analysis.
(Image composition)
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Students working in Construct3D. Viewing the construction
from different sides.
(Image composition)
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View from outside. Users are working with Construct3D.
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