skip to main content
10.1145/3416797.3416805acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicemtConference Proceedingsconference-collections
research-article

Design and Implementation of Parameters-Based 3D Cutting Function for Dynamic Geometry Software

Published:01 October 2020Publication History

ABSTRACT

The cutting of three-dimensional (3D) geometric shapes is an important issue in solid geometry, and it has indispensable functional requirements for 3D Dynamic Geometry Software (DGS). There are some problems of cumbersome steps and poor experimental effect when constructing the cutting of 3D geometric shapes in many existing 3D-DGS. The parameters-based 3D cutting method for DGS is presented in this paper. Firstly, we build a core model of the parameters-based 3D cutting function. Secondly, when processing the core calculation of the cutting function, we mainly calculate the relevant values of 3D geometric shape and cutting planes in two cases. One is parallel cutting, and the other is series cutting. Finally, an experimental result show that the continuous change of the cut shapes, greatly optimizing the cutting affect, and simplifying the construction steps of 3D cutting can be realized by the 3D cutting function designed in the paper. At present, more and more people use 3D cutting function to create intuitive and vivid dynamic geometry resources.

References

  1. Wang, J., Rao, Y.S., Chen, R.X., 2019. The Iteration Function on NetPad. 14th International Conference on Computer Science & Education. IEEE, 2019:439-443.Google ScholarGoogle Scholar
  2. Chen, B.L., Huang, Y., Rao, Y.S., 2016. The Beauty of Geometry: A Touch-Operation-Based DGS for Mathematics Education. 11th International Conference on Computer Science & Education.IEEE, 2016: 443-447.Google ScholarGoogle Scholar
  3. Zhang, J.Z., Ge, Q., Peng, X.C. 2010. Educational Technology Research Should be in-depth Discipline. Journal of e-Education Research (Chinese), 2010(2): 8-13.Google ScholarGoogle Scholar
  4. Zhang, J. Z., Jiang, C. L., 2007. The value of dynamic geometry course in mathematics teaching and learning. Journal of Mathematics Education,16(3):1-5Google ScholarGoogle Scholar
  5. Bokosmaty, S., Mavilidi, M. F., Paas, F. 2017. Making versus observing manipulations of geometric properties of triangles to learn geometry using dynamic geometry software. Computers & Education,113: 313-326.Google ScholarGoogle ScholarCross RefCross Ref
  6. Burgiel, H. 2000. Reviews: The Interactive Geometry Software Cinderella. American Mathematical Monthly, 107(8):760-763.Google ScholarGoogle Scholar
  7. Guan, H., Qin, X.L., Rao, Y.S. 2019. Research and Design of Dynamic Mathematical Digital Resources Open Platform. Journal of Harbin Institute of Technology (Chinese), 51(05):14-22.Google ScholarGoogle Scholar
  8. Cabri, http://www.cabri.com.Google ScholarGoogle Scholar
  9. Abánades, M., Botana, F., Kovács, Z., 2016. Development of automatic reasoning tools in GeoGebra. ACM Communications in Computer Algebra,50(3): 85-88Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Chen, R.X., Rao, Y.S., Guan, H., 2018. The design and implementation of intersection points of geometric figures in Netpad. 13th International Conference on Computer Science & Education.IEEE, 2018:466-451.Google ScholarGoogle ScholarCross RefCross Ref
  11. Zhang, J.Z., Xiong, H.M., Peng, X.C.2007. Free Software SSP for Teaching Mathematics. Symbolic Computation and Education, 2007:115–135.Google ScholarGoogle ScholarCross RefCross Ref
  12. Chen, R.X., Rao, Y.S., Cai, R.Q., 2019. Design and Implementation of Human-Computer Interaction Based on User Experience for Dynamic Mathematics Software.14th International Conference on Computer Science & Education. IEEE, 2019: 428-433.Google ScholarGoogle Scholar
  13. Cai, R.Q., Rao, Y.S., Wang, J., 2019. NetPadBrowser: An Offline Browser for Web-Based Dynamic Geometric Resources.14th International Conference on Computer Science & Education. IEEE, 2019: 434-438.Google ScholarGoogle Scholar
  14. Guan, H., Rao, Y.S., Wang, Y., 2018. Design and Implementation of Web-based Dynamic Mathematics Intelligence Education Platform.7th International Conference on Digital Home. IEEE, 2018: 141-147.Google ScholarGoogle Scholar
  15. Rao, Y.S., Guan, H., Chen, R.X., 2018. A Novel Dynamic Mathematics System Based on the Internet. Lecture Notes in Computer Science, volume 10931, 2018: 389-396.Google ScholarGoogle Scholar

Recommendations

Comments

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Sign in
  • Published in

    cover image ACM Other conferences
    ICEMT '20: Proceedings of the 4th International Conference on Education and Multimedia Technology
    July 2020
    268 pages
    ISBN:9781450388375
    DOI:10.1145/3416797

    Copyright © 2020 ACM

    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]

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 1 October 2020

    Permissions

    Request permissions about this article.

    Request Permissions

    Check for updates

    Qualifiers

    • research-article
    • Research
    • Refereed limited
  • Article Metrics

    • Downloads (Last 12 months)6
    • Downloads (Last 6 weeks)1

    Other Metrics

PDF Format

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

HTML Format

View this article in HTML Format .

View HTML Format