IJIET 2020 Vol.10(1): 14-19 ISSN: 2010-3689
doi: 10.18178/ijiet.2020.10.1.1332

Development of Teaching Tool for Supporting Understanding of Tensor Decomposition Using MacMahon’s Coloured Cubes

Naoki Yamamoto, Akio Ishida, Nobuhiro Oishi, and Jun Murakami

Abstract—In this paper, we developed tool to learn the calculation process of HOSVD. This tool uses newly created puzzle using some of MacMahon’s coloured cubes. The puzzle is represented as the 2D map using the matrix unfolding required to calculate HOSVD. In order to investigate the difficulty level of the puzzle and the visibility of its map representation, the teaching tool is tried by our students and others at the Campus Open Day of our college. As a result, it was confirmed that most users could understand the map and that the puzzle was rather easy to solve. Therefore, it was thought that the users seemed to understand the concept of the matrix unfolding roughly.

Index Terms—MacMahon’s coloured cubes, 3D puzzle, matrix unfolding, HOSVD, understanding support tools.

Naoki Yamamoto, Akio Ishida, Nobuhiro Oishi, and Jun Murakami are with Kumamoto College, National Institute of Technology, Kumamoto, 861-1102, Japan (e-mail: naoki@kumamoto-nct.ac.jp, ishida@kumamoto-nct.ac.jp, oishi@kumamoto-nct.ac.jp, jun@kumamoto-nct.ac.jp).

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Cite: Naoki Yamamoto, Akio Ishida, Nobuhiro Oishi, and Jun Murakami, "Development of Teaching Tool for Supporting Understanding of Tensor Decomposition Using MacMahon’s Coloured Cubes," International Journal of Information and Education Technology vol. 10, no. 1, pp. 14-19, 2020.

Copyright © 2020 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

General Information

  • ISSN: 2010-3689 (Online)
  • Abbreviated Title: Int. J. Inf. Educ. Technol.
  • Frequency: Monthly
  • DOI: 10.18178/IJIET
  • Editor-in-Chief: Prof. Dr. Steve Thatcher
  • Executive Editor: Ms. Nancy Y. Liu
  • Abstracting/ Indexing: Scopus (Since 2019), EI(INSPEC, IET), EBSCO, Electronic Journals Library, Google Scholar, Crossref, etc.
  • E-mail: ijiet@ejournal.net