Kasner正方形的Van Hiele思维层次测试

我们所作的VanHiele思维层次测试说明，对于Kasner正方形问题，各个年级学生所具有的思维能力在Usiskin研究意义下属于正常状况，并都符合VanHiele思维层次测试指标理论．这对张新民关于Kasner多边形问题的一个观点给出了理论上的支持，作为这一测试另一个有意义的应用是，它验证了VanHiele思维层次理论应用于某些具体数学问题的可行性，这为中小学数学教师实施分层次教学以及将科学研究整合于教学提供了一个范例．

The Test of Van Hiele Thinking Levels on the Kasner-Square

The test of Van Hiele thinking levels on the Kasner-squares problem is held.This test shows that the thinking levels that every grade's students have are normal in the sense of Usiskin's study,and all results of this test conform to the theory of the Van Hele thinking levels test-measure,which verifies a viewpoint on Kasner-polygons problem posed by X.M.Zhang theoretically.As an application of this test,the theory of Van Hiele thinking levels can be applied to some concert mathematical problem,which give an example for mathematical teachers in middle and elementary schools to take up teaching in differently levels and to combine scientific research with teaching.