浅谈中学数学讨论的问题及教学策略.docVIP

毕 业 论 文 2015届 浅谈中学数学分类讨论的问题及教学策略 学生姓名 吴绍安 学 号 院 系 数理信息学院 专 业 数学与应用数学 指导教师 黄玲娣 完成日期 2015年5月11日 浅谈中学数学分类讨论的问题及教学策略 摘要 ,就是根据数学对象本质属性的相同点与不同点,将其分成几个不同种类的一种数学思想?它既是一种重要的数学思想,又是一种重要的数学逻辑方法,在中学数学中常表现为数学分类讨论法?所谓数学分类讨论方法,就是将数学对象分成几类,分别进行讨论来解决问题的一种数学方法?有关分类讨论思想的数学问题具有明显的逻辑性?综合性?探索性,能训练人的思维条理性和概括性?分类讨论思想贯穿于整个中学数学的全部内容中?需要运用分类讨论的思想解决的数学问题,就其引起分类的原因,可归结为:涉及的数学概念是分类定义的;运用的数学定理?公式或运算性质?法则是分类给出的;求解的数学问题的结论有多种情况或多种可能;数学问题中含有参变量,这些参变量的取值会导致不同结果的?应用分类讨论,往往能使复杂的问题简单化?分类的过程,可培养学生思考的周密性,条理性,而分类讨论,又能促进学生研究问题?探索规律的能力? 关键词 THE PROBLEMS AND TEACHING STRATEGIES ON MIDDLE SCHOOL MATHEMATICS CLASSIFICATION DISCUSSION ABSTRACT The mathematical classification thought, is essentially according to the same point and different points of the mathematical objects, a kind of mathematical thinking will be divided into several different types. It is thought a kind of important mathematics thought, it is also an important method in mathematical logic, in middle school mathematics is often expressed as a mathematical classification discussion method. The so-called mathematical classification discussion method, is a mathematical object that divide into several categories, a mathematical method is discussed to solve the problem. Discuss the ideas about mathematical problem is logical, comprehensive exploration, clear thinking, training organization and generality of the people. The classification discussion thought throughout the Middle School of mathematics. The math problems need to be solved by means of classification discussion thought, the reasons caused by classification, can be summed up as: mathematics concept is related to the definition of classification; mathematical theorems, formulas, rules or operational properties using the classification given; mathematical problem solving results there is more than one or several possibility; With?the parametric?mathematical problems, these parameter values w