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猜想是一种合情推理 ,带有直觉性的高级认识过程 .对于数学研究或数学研究性学习来说 ,猜想的方法是一种重要的基本思维方法 .波利亚提出 :在数学教学中“必须两样都教”,即既要使学生掌握论证推理 ,也要使他们懂得合情推理 .“会区别有效的论证与无效的尝试 ,会区别证明与猜想
Guessing is a kind of reasonable reasoning with an intuitive high-level cognitive process. For mathematics research or mathematical research learning, the method of conjecture is an important basic thinking method. Polya proposes: in mathematics teaching It is necessary to teach both ways, that is, to enable students to master argumentative reasoning, and to make them understand and reason. "Differentiate proofs and conjectures by distinguishing valid arguments from invalid ones.