数列中的数学思想

• 作 者: 谢伟杰
• 机 构: 福建省安溪铭选中学,
• 出 处: 知识文库
• 发表日期: 2016年20期
• 关键词: 本质认识 认识过程 综合问题 解题方法 通项公式 函数描述 解方程 证明方法 关系型 说明理由

数学思想是人们对数学知识的本质认识,是从某些具体的数学内容和对数学的认识过程中提炼上升的数学观点,它在认识活动中被反复运用,带有普遍的指导意义,是建立数学和用数学解决问题的指导思想。在数列综合问题中蕴含着重要的数学思想,如归纳思想、函数思想、方程思想、分类讨论思想,在这些思想的指导下产生许多解决数列问题的方法,让学生充分理解和掌握这些思想和方法,对提高解决数

Mathematical thinking is the people’s understanding of the nature of mathematical knowledge, mathematical knowledge from some specific mathematical content and mathematical process of refining the ascendant rise, it is repeatedly used in cognitive activities, with a general guiding significance, is to establish Mathematics and mathematics to solve the problem of guiding ideology. There are many mathematical ideas in sequence synthesis, such as inductive thinking, functional thinking, equation thinking and classified discussion. Under the guidance of these ideas, there are many ways to solve series problems so that students can fully understand and master these ideas and methods , To improve the solution number