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历史功过的评说 古往今来,人们怀着虔诚的心,追求着“点金术”、“永动机”,也幻想着万能解题术:能解决任何问题的方法。这种追求迄今没有成功,但数学史上探求这种方法的努力,却也没有白费,十七世纪,笛卡尔把逻辑、代数、几何结合起来试图建立“普遍的数学”的努力,结出了“解析几何学”之果;波利亚在本世纪关于探索式教学和数学发现的研究,使他悟出了“一般解题方法”,即通用解题术,他们都对数学研究和数学教育做出了可贵的贡献。
Commentary on Historical Merits Throughout the ages, people have pursued the “alchemy” and “permanent motivation” with sincerity, and they also fantasized about universal problem solving: a solution to any problem. This pursuit has so far been unsuccessful, but efforts to find this method in the history of mathematics have not been wasted. In the seventeenth century, Descartes combined logic, algebra, and geometry in an attempt to establish “universal mathematics,” and expressed “ ”The result of analytical geometry“; in this century, Polya’s research on exploratory teaching and mathematical discovery enabled him to comprehend the ”general problem-solving method," that is, universal problem-solving techniques. They all do research on mathematics and mathematics education. Made a valuable contribution.