| 谈波利亚关于数学解题的思维艺术 |
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| 引用本文： | 徐建龙.谈波利亚关于数学解题的思维艺术[J].淮北煤炭师范学院学报(自然科学版),1999(2). |
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| 作者姓名： | 徐建龙 |
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| 作者单位： | 淮北煤师院政法系 |
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| 摘 要： | 波利亚根据他的数学研究经历和其他数学家的实践经验,结合他的数学教育实践,全面、系统地对数学解题的思维艺术进行了研究和总结。本文侧重把握波利亚关于问题──求解（计划、辅助问题和问题链）──发现和发明的方法和规律方面的思想,旨在为我们学会猜想,提高解题能力服务。
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| 关 键 词： | 问题类型 解题 猜测 合情推理 |
On Thinking Technique of Polya's Mathematical Solutions to Problems |
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| Xu Jianlong.On Thinking Technique of Polya's Mathematical Solutions to Problems[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1999(2). |
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| Authors: | Xu Jianlong |
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| Institution: | Department of Politics and Law |
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| Abstract: | Polya has researched and summarized systemtically thinking technique of the mathematical solutions to problems, that has based on his experience of mathematical researching and other mathematicans' practice experience, combined with his mathematical teaching practice. The paper stressly analyses Polya's thought on "problem-solve(planning, auxiliary problem and problem chain) -method and law of discover and invent", its aims is serving to teach our guess and to raise ability of solutions to problems. |
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| Keywords: | types of problems solutions to problems guess plausible reasoning |
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