Advertisement

Collaborative Use of Mathematical Content Generated by CindyJS on Tablets

  • Takeo NodaEmail author
  • Masataka Kaneko
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10931)

Abstract

CindyJS is a system which enables researchers and learners to interactively handle mathematical models on browsers. Though the enhancement of mathematical user interfaces is widely anticipated and promoted so that mathematical models can be handled via familiar web and mobile devices, it seems that the resulting realities and benefits have not yet been fully investigated. In particular, for educational use, more precise knowledge about them will likely help maximize the effect of using newly developed systems. This research is mainly concerned with the comparison between individual use and group use of CindyJS content on tablets. It can be assumed that, in the case of group use, communication between members would give some influence on the strategy of their handling of mathematical models. To investigate how members of a group influence each other’s handling of mathematical models when using CindyJS, we tracked some characteristic quantities from the recorded processes of users’ operations. Through statistical analysis (approximation with finite mixture of beta distributions) of the quantities derived from the cases of individual use and group use respectively, it can be shown that the difference between these two cases is visualized and the above mentioned influence is illustrated.

Keywords

Cinderella CindyJS Web and mobile devices Finite mixture of beta distributions Influence of users’ communication 

Notes

Acknowledgements

The authors are grateful to Professor J\(\ddot{\mathrm{u}}\)rgen Richter-Gebert, Professor Ulrich Kortenkamp, and their colleagues for their great efforts to develop Cinderella and CindyJS. They are also grateful to Professor Jinfang Wang for his helpful advices with the statistical analysis of this research.

This work was supported by JSPS KAKENHI (15K01037).

References

  1. 1.
    Piaget, J. : The role of action in the development of thinking. In: Overton, W.F., Gallagher, J.M. (eds.) Knowledge and Development, pp. 17–43 (1977)CrossRefGoogle Scholar
  2. 2.
    Pappert, S.: Teaching children to be mathematicians versus teaching about mathematics. Int. J. Math. Educ. Sci. Technol. 3, 249–262 (1972)CrossRefGoogle Scholar
  3. 3.
    Richter-Gebert, J., Kortenkamp, U.: Interactive Geometry with Cinderella. In: The Cinderella.2 Manual. Springer, Heidelberg (2012).  https://doi.org/10.1007/978-3-540-34926-6_4
  4. 4.
    von Gagern, M., Kortenkamp, U., Richter-Gebert, J., Strobel, M.: CindyJS. In: Greuel, G.-M., Koch, T., Paule, P., Sommese, A. (eds.) ICMS 2016. LNCS, vol. 9725, pp. 319–326. Springer, Cham (2016).  https://doi.org/10.1007/978-3-319-42432-3_39CrossRefzbMATHGoogle Scholar
  5. 5.
    von Gagern, M., Richter-Gebert, J.: CindyJS Plugins. In: Greuel, G.-M., Koch, T., Paule, P., Sommese, A. (eds.) ICMS 2016. LNCS, vol. 9725, pp. 327–334. Springer, Cham (2016).  https://doi.org/10.1007/978-3-319-42432-3_40CrossRefzbMATHGoogle Scholar
  6. 6.
    Montag, A., Richter-Gebert, J.: CindyGL: authoring GPU-based interactive mathematical content. In: Greuel, G.-M., Koch, T., Paule, P., Sommese, A. (eds.) ICMS 2016. LNCS, vol. 9725, pp. 359–365. Springer, Cham (2016).  https://doi.org/10.1007/978-3-319-42432-3_44CrossRefzbMATHGoogle Scholar
  7. 7.
    Kaneko, M.: Using tangible contents generated by CindyJS and its influence on mathematical cognition. In: Gervasi, O., Murgante, B., Misra, S., Borruso, G., Torre, C.M., Rocha, A.M.A.C., Taniar, D., Apduhan, B.O., Stankova, E., Cuzzocrea, A. (eds.) ICCSA 2017. LNCS, vol. 10407, pp. 199–215. Springer, Cham (2017).  https://doi.org/10.1007/978-3-319-62401-3_15CrossRefGoogle Scholar
  8. 8.
    Titterlington, D.M., Smith, A.F.M., Makov, U.E.: Statistical Analysis of Finite Mixture Distributions. Wiley, New York (1985)Google Scholar
  9. 9.
    Frühwirth-Schnatter, S. (ed.): Finite Mixture and Markov Switching Models. Springer Series in Statistics, 1st edn. Springer, New York (2006)zbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Toho UniversityFunabashiJapan

Personalised recommendations