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培养学生解数学题能力的过程,既是增长知识的过程,又是发展智力的过程。我是如何培养学生的解题能力的呢? 一、从基础知识和基本技能抓起 数学概念在解题过程中起判断作用。如果学生不能深刻理解概念,思维就没有依据,解题能力也就无从培养。我们经常发现学生解题时出现下述错误: (1-sin2α)~(1/2)=((sinα-cosα)~2)~(1/2)=sinα-cosα; 由log_xx≥log_x0.5得x≥0.5,就是由于有关的概念含糊而产生的。
The process of cultivating students’ ability to solve math problems is both a process of increasing knowledge and a process of developing intelligence. How do I develop students’ problem-solving abilities? I. Grab the basic knowledge and basic skills. Math concepts play a role in the problem-solving process. If students can’t deeply understand concepts, thinking has no basis, and the problem-solving ability can’t be cultivated. We often find that the following errors occur when students solve problems: (1-sin2α)~(1/2)=((sinα-cosα)~2)~(1/2)=sinα-cosα; by log_xx≥log_x0.5 To get x ≥ 0.5, it is due to the vagueness of the concept.