• DocumentCode
    3409966
  • Title

    An application of GM(0, N) on analyzing the first van Hiele geometrical thinking level

  • Author

    Wu, Der-Bang ; Ma, Hsiu-lan ; Chen, Guey-Shya ; Chang, Hei-Tsz

  • Author_Institution
    Grad. Inst. of Educ. Meas., Nat. Taichung Univ., Taichung, Taiwan
  • fYear
    2009
  • fDate
    10-12 Nov. 2009
  • Firstpage
    485
  • Lastpage
    490
  • Abstract
    This study is going to use Grey System Theory on analyzing the different types of the first van Hiele´s geometric thinking level. There are five levels of the van Hiele´s geometric thought: ¿visual¿, ¿descriptive¿, ¿theoretical¿, ¿formal logic¿, and ¿the nature of logical laws¿ as well as nine types in the first level. The results of this study not only identify the easiest and the most difficult concepts for students, but also display that the Grey Model can really found out the fact, therefore the analysis of Grey Model is better than that of tradition method.
  • Keywords
    formal logic; geometry; grey systems; descriptive level; first van Hiele geometrical thinking level analyzation; formal logic level; grey system theory; logical laws nature; theoretical level; visual level; Displays; Educational institutions; Geometry; Intelligent systems; Logic; Mathematical model; Mathematics; Shape; Solid modeling; Visualization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Grey Systems and Intelligent Services, 2009. GSIS 2009. IEEE International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-4914-9
  • Electronic_ISBN
    978-1-4244-4916-3
  • Type

    conf

  • DOI
    10.1109/GSIS.2009.5408264
  • Filename
    5408264