id: 06134844
dt: j
an: 2013b.00914
au: Wu, Hua; Zhou, Yuxiao
ti: Dynamic geometry environments and the theory of variation.
so: J. Math. Educ. (Tianjin) 19, No. 6, 26-29 (2010).
py: 2010
pu: Editorial Department of Journal of Mathematics Education c/o Tianjin Normal
University, Tianjin
la: ZH
cc: U50 C30 G44
ut: dynamic geometry; variation theory; invariant patterns in variation
ci:
li:
ab: Summary: One of DGE’s strenghts is to equip us with the ability to keep
fixed a background geometrical configuration. That is, we can study the
variation of an aspect of a DGE figure while keeping other aspects
constant, hence anticipating the emergence of invariant patterns. In
this paper, the DGE was placed in the context of variation theory.
Central concepts of discernment, variation in the theory of variation
were discussed in DGEs to illustrate the potential partnership between
the two enterprises. Patterns of variation (contrast, separation,
fusion, generalization) proposed in variation theory would be perceived
under DGEs.
rv: