| 数学创造的源泉：猜想与合情推理 |
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| 引用本文： | 曾皓.数学创造的源泉：猜想与合情推理[J].成都教育学院学报,2009,23(10):124-125. |
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| 作者姓名： | 曾皓 |
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| 作者单位： | 四川绵阳南山中学,四川绵阳,621000 |
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| 摘 要： | 在数学教学中会遇到具有探究价值的问题，及时捕捉，启发学生运用归纳、类比、猜想的思维方法，将问题横向联系，纵向拓展，对激发学生学习兴趣、提升学习能力、挖掘学习潜能很有帮助。为此，从一道与椭圆有关的解析几何题出发，运用猜想方法，由表及里，探求出问题本质；用归纳法纵向延伸，归纳出一般结论；用类比法横向拓展，类比椭圆、双曲线共有的两个性质，实现从解一题到通一类、会一法的跨越。
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| 关 键 词： | 中学 数学创造 猜想与推理 |
Sources of Creativity in Mathematics: Supposing and Reasoning |
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| ZENG Hao.Sources of Creativity in Mathematics: Supposing and Reasoning[J].Journal of Chendu College of Education,2009,23(10):124-125. |
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| Authors: | ZENG Hao |
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| Institution: | ZENG Hao (Sichuan Mianyang Nanshan Middle School, Mianyang, 621000, China) |
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| Abstract: | We frequently meet with many worthy problems of being probed in teaching mathematics. How to guide students to capture these problems in time and how to guide them to apply various mathematics methods such as inducting, analogy, supposing to amuse their interest in mathematics are a must in mathematics teaching. In this essay, the author takes an analytic geometry problem concerning ellipse solving as an example to show how to guide students to think logically and arouse students＇ abihties of longitudinal accumulation and verti- cal expansion from one problem to many solving strategies and methods. |
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| Keywords: | the creation of mathematical conjecture and reasoning |
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