牛顿说:“没有大胆的猜想,就做不出伟大的成就。”在长达几个世纪的探索中,数学家的创造过程都蕴含着合情推理的成分,诸如,欧拉定理、哥德巴赫猜想、四色问题等,因此,从某个方面说,合情推理促进了数学的发展。如何培养初中生的合情推理能力,开拓其创新意识是一个值得研究的现实课题。 Newton said: “Without bold conjecture, great achievements can not be made.” In the course of centuries of exploration, the process of mathematician’s creation implicates co-rational inferences such as Euler’s Theorem, Goldbach’s conjecture, four-color problem, etc. Therefore, in some ways, co-rationality promotes the development of mathematics. How to cultivate the reasoning ability of junior middle school students and develop their innovative consciousness is a realistic subject deserved to be studied.