1、 1 中学概率统计思想及其教学方法的研究中学概率统计思想及其教学方法的研究 摘 要 概率与统部分的教学在中学数学课堂教学里显得越来越重要了,结合代数、几何、三角 函数组成了基础的中学数学知识.概率与统计这部分的知识内容拥有丰富的背景, 如果教 学方法恰当, 为培养学生解决实际问题的能力提供了一个极好的机会,由于概率统计知识 进入中学课堂仅仅只有几十年,导致了关乎它的教育理论研究呈滞后状态,这也就导致了 当前中学课堂教学中的教师难教学生亦难学的两难现象. 本文主要对中学的概率统计章 节知识的一些思想做一个系统的总结，对一些基本题型进行一个归类，以及研究中学概率 统计章节的课堂教学的新的思想教学方
2、法和教学过程中的观点培养. 关键词关键词 概率统计 ;思想方法;中学;教学;解题;观点培养 , 2 THE STUDY OF PROBABILITY AND STATISTICS IN THE MIDDLE SCHOOL ANG ITS TEACHING METHODS ABSTRACT the teaching of probability and statistics knowledge is more and more important in the teaching of middle school.It has became the basis of mathematical kn
3、owledge in secondary schools with Geometric algebra and trigonometric.As the knowledge of probability and statistics has a rich background,It can Provides an excellent opportunity to cultivate the ability of students to solve practical problems if the teaching method is appropriate.As the knowledge
4、of probability and statistics comes into the secondary school classroom just only a few decades,Its education theoretical research has lagged far behind,As a result of this situation that its hard for teachers to teach and also hard for students to learn.In this paper,I mainly do a system summaryfor
5、 the idea of the Probability and Statistics,Classify some of the basic kinds of questions,Study new ideas of the teaching about probability and statistics,Culture point of view in the teaching process. KEY WORDS Probability; and Statistics; Way of thinking;Teaching;Problem-solving;View culture. 3 目目
6、 录录 中文摘要 英文摘要 . 目录错错 误误! !未定义书签。未定义书签。 引言 错误错误! !未定义书签。未定义书签。 1.排列与组合知识的思想分析1 1.1 两个基本原理与他们之间的区别.1 1.2 排列问题公式分析.2 1.3 组合问题公式分析.2 1.4 解决排列组合问题的具体途径应遵循两个原则.2 1.5排列组合问题常见的限制条件及对策.2 2.随机事件.3 2.1随机事件的概念及随机事件性质的理解4 2.2 随机事件里面分形式进行讨论.5 2.2.1一类事件的对立与互不相容概念5 2.2.2事件的独立与互不相容概念的理解.5 2.2.3 条件与无条件概率.6 2.2.4放回与不放回抽样6 2.2.5加法原理6 3.二项式的基本知识及二项式思想6 3.1二项式定理的内容.7 3.2二项式定理中所包含的二项式系数的性质.7 4.中学统计学的基本思想7
