中日新数学教科书中的“勾股定理”

Comparison on Pythagoras Theorem in Mathematics Textbooks of Three Countries

由于勾股定理在数学及数学教育中的特殊地位，它几乎是全世界的中学数学课程都要介绍的内容．从教科书内容的广度和深度来看，《中学数学》最难，《数学》次之，New Mathematics Counts最易；《中学数学》和New Mathematics Counts对勾股定理的发现和证明做了弱化处理；《数学》重视对勾股定理的证明，向学生展现了多元文化背景下的数学内容；3种教科书对定理的应用都很重视，都给出了一定数量的例题和习题．

For the special status in mathematics and mathematics teaching, Pythagoras＇ Theorem was a content must be introduced in the middle school mathematics curriculum of nearly the whole world. In this paper, the three textbooks, mathematics, middle school mathematics and new mathematics counts were compared from the four aspects of the scopes and the depth. And some ponders on textbook compilation were orooosed.