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    I3T: Using Interactive Computer Graphics to Teach Geometric Transformations

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    Date
    2018
    Author
    Felkel, Petr
    Magana, Alejandra J.
    Folta, Michal
    Sears, Alexa Gabrielle
    Benes, Bedrich ORCID
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    Abstract
    Geometric transformations play an important role in a vast variety of disciplines. Although they belong to the fundamental concepts, they are also difficult to comprehend. Thousands of students take courses of algebra every year and although they may conceptually understand the transformations and mechanically solve the presented problems, they often struggle in visualizing the effect of the transformation on 3D objects represented as matrices. We explored the hypothesis that using interactive 3D computer graphics to visualize the transformations has its learning benefit.We have developed a novel framework for interactive 3D transformations called Interactive 3D Transformations (I3T) that allows for exploring and visualizing immediate effect of 3D transformations on rigid objects. We tested nine graduate students with I3T and compared them with the control group of another nine participants that used traditional passive methods. Moreover, we have tested the students spatial abilities by using a standardized test and we have evaluated how this affects their ability to comprehend the 3D transformations. Overall results showed that students increased their understanding of transformations between the pretest and posttest in both groups. When comparing the two groups, although the mean score in the posttest was two times higher for the I3T group, it did not show that this was statistically significantly higher than for the Traditional Group. The written responses showed higher enthusiasm of the students who used the interactive tool as opposed to using the passive learning method.
    BibTeX
    @inproceedings {10.2312:eged.20181000,
    booktitle = {EG 2018 - Education Papers},
    editor = {Post, Frits and Žára, Jirí},
    title = {{I3T: Using Interactive Computer Graphics to Teach Geometric Transformations}},
    author = {Felkel, Petr and Magana, Alejandra J. and Folta, Michal and Sears, Alexa Gabrielle and Benes, Bedrich},
    year = {2018},
    publisher = {The Eurographics Association},
    ISSN = {1017-4656},
    DOI = {10.2312/eged.20181000}
    }
    URI
    http://dx.doi.org/10.2312/eged.20181000
    https://diglib.eg.org:443/handle/10.2312/eged20181000
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    Eurographics Association copyright © 2013 - 2023 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
    TUGFhA