2014年全国高中数学青年教师展评课：对数的概念课件（江苏南京师大附中张萍）.ppt

1、High School Affiliated to Nanjing Normal University苏苏教版高中数学必修教版高中数学必修11南京师范大学附属中学 张萍High School Affiliated to Nanjing Normal University4教学内容解析1235教学目标设置学生学情分析教学策略分析教学过程设计High School Affiliated to Nanjing Normal University4教学内容解析1235教学目标设置学生学情分析教学策略分析教学过程设计High School Affiliated to Nanjing Normal Uni

2、versity指数函数、对数函数和幂函数指数函数指数函数幂函数幂函数对数函数对数函数对数对数的运算性质对数函数High School Affiliated to Nanjing Normal University教学内容对数教学重点1.对数的概念；2.对数式与指数式的互化.对数概念的理解High School Affiliated to Nanjing Normal University4教学内容解析1235教学目标设置学生学情分析教学策略分析教学过程设计High School Affiliated to Nanjing Normal University123理解对数的概念，会熟练地进行指数

3、式与对数式的互化，了解两个特殊的对数类比无理数的表示，让学生体验符号化表示数学对象的思想自主举例，相互交流，经历对数概念的形成过程和理解过程，体会从特殊到一般和化归的数学思想1High School Affiliated to Nanjing Normal University4教学内容解析1235教学目标设置学生学情分析教学策略分析教学过程设计High School Affiliated to Nanjing Normal University符号化表示无理数的经验 逆运算的经验较好的归纳、类比推理能力良好的反思习惯指数函数的图象与性质High School Affiliated to Na

4、njing Normal University4教学内容解析1235教学目标设置学生学情分析教学策略分析教学过程设计High School Affiliated to Nanjing Normal University难 点突破策略初步感悟适度模仿归纳概括自主举例对数概念的理解High School Affiliated to Nanjing Normal University问题自己提问同学互问教师追问High School Affiliated to Nanjing Normal University概念建构概念理解概念应用概念High School Affiliated to Nanji

5、ng Normal University4教学内容解析1235教学目标设置学生学情分析教学策略分析教学过程设计High School Affiliated to Nanjing Normal University具体实例 理解概念创设情境 建构概念概念应用 方法总结课堂小结布置作业教学过程安排High School Affiliated to Nanjing Normal University创设情境学生提问解决问题获取概念创设情境建构概念High School Affiliated to Nanjing Normal University创设情境 建构概念High School Affili

6、ated to Nanjing Normal University创设情境 建构概念插入视频1High School Affiliated to Nanjing Normal University创设情境 建构概念High School Affiliated to Nanjing Normal University为什么要让学生提出问题？给学生提出问题的机会，使学生自觉成为探究的主体.创设情境 建构概念总结学生提出的问题类型，抽象出在ab=N中已知两个量求第三个量的问题.High School Affiliated to Nanjing Normal University创设情境 建构概念Hi

7、gh School Affiliated to Nanjing Normal University创设情境 建构概念类比，经历符号化语言表示新的数学对象的过程.探究指数b的存在性和惟一性，感受引入对数概念的必要性和合理性.问题2 2b=3,这样的指数b有没有呢?High School Affiliated to Nanjing Normal University创设情境 建构概念插入视频2High School Affiliated to Nanjing Normal University学生活动认识对数具体实例理解概念High School Affiliated to Nanjing Nor

8、mal University具体实例理解概念请每位同学写35个对数，与同桌交流.学生活动High School Affiliated to Nanjing Normal University具体实例理解概念插入视频3High School Affiliated to Nanjing Normal University具体实例理解概念插入视频4High School Affiliated to Nanjing Normal University明确对数式与指数式的等价关系熟练指数式与对数式互化，实现教材中例1和例2的教学功能.学生活动请每位同学写35个对数，与同桌交流.具体实例理解概念High

9、School Affiliated to Nanjing Normal University具体实例理解概念High School Affiliated to Nanjing Normal University具体实例理解概念High School Affiliated to Nanjing Normal University独立思考方法交流回顾反思加深理解概念应用方法总结High School Affiliated to Nanjing Normal University概念应用方法总结High School Affiliated to Nanjing Normal UniversityHi

10、gh School Affiliated to Nanjing Normal University概念应用方法总结插入视频5High School Affiliated to Nanjing Normal University方法提升，对数性质及相关结论为对数求值提供了新的方法.回顾反思，培养良好的学习习惯，把对数性质发现的机会留给学生.应用概念，巩固指数式与对数式的等价转化.练习 求下列各式的值：概念应用方法总结High School Affiliated to Nanjing Normal University知识归纳方法提升课堂小结布置作业High School Affiliated to Nanjing Normal University课堂小结布置作业High School Affiliated to Nanjing Normal University课堂小结布置作业插入视频6High School Affiliated to Nanjing Normal University课堂小结布置作业知识方法符号化思想化归思想对数的概念对数是一个数对数是一种运算High School Affiliated to Nanjing Normal University谢谢大家！张萍：