| 突破少数民族预科数学归纳法教学难点的探讨 |
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| 引用本文： | 何丽亚.突破少数民族预科数学归纳法教学难点的探讨[J].达县师范高等专科学校学报,2012(5):151-154. |
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| 作者姓名： | 何丽亚 |
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| 作者单位： | 四川民族学院教育系,四川康定626001 |
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| 基金项目： | 四川省高等教育教学改革重点项目“民族预科数学教育教学研究”（川Z11176） |
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| 摘 要： | 数学归纳法是证明与正整数有关的等式、整除、不等式、二项式定理、数列等命题的一种重要方法．结合少数民族预科数学教学实践，针对学生学习数学归纳法的难点，分析其突破方法，导出用数学归纳法证明命题缺一不可的两个步骤．进而深化了对数学归纳法的认识，突破了数学归纳法的教学难点．
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| 关 键 词： | 数学归纳法 两个步骤 凑假设 凑结论 |
A Discussion on Solutions to Induction in Teaching Ethnic Preparatory Mathematics |
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| Institution: | HEI Li - ya (Education Department of Sichuan Nationalities University, Kangding Sichuan 626001, China) |
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| Abstract: | Mathematical induction is a very important method to prove a series of mathematical propositions such as equations, division, inequality, binomial theorem, trigonometric equation and sequences. Combining with teaching practice in ethnic prepar- atory mathematics and considering students＇ difficulties in studying mathematical induction, the author analyzes the solutions and deduces two identical steps when proving propositions by mathematical induction. The first step is to prove the recursive founda- tion and the second step is to prove the relationship of infinite inference. In the second step, it is essential to make hypothesis and induces conclusions. It is very helpful to get deep knowledge of mathematical induction and to break trough the teaching difficul- ties of mathematical induction |
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| Keywords: | mathematical induction two steps making hypothesis inducing conclusion |
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