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
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;
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
DOI :
10.1109/GSIS.2009.5408264