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在“圆周角”的教学中,通过观察、实验、猜想、证明等数学活动,渗透运动变化观下的变中不变、类比、分类、化归等数学思想和方法。爱因斯坦说过:“教育是忘掉学校所学所剩下的东西”。在忘掉所学数学知识之后,所剩下来的便是数学的思想,所以教育在教学中应加强数学思想方法的渗透。下面,笔者通过探讨圆周角概念的引入及教学分析,以渗透数学的思想方法和发展学生合情推理的能力为原则,优化圆周角的教学设计。1圆周角概念的分析1.1重要地位圆是“直线型”图形向“曲线型”图形的过渡,圆周
Through the observation, experiment, guess, proof and other mathematical activities, we infiltrate the mathematical ideas and methods under the concept of change of movement, analogy, classification and transformation in the teaching of “circumference angle”. Einstein said: “Education is to forget what is left of school.” After forgetting the knowledge of math, all that remains is the thought of mathematics, so education should strengthen the infiltration of mathematical thinking and methods in teaching. In the following, the author optimizes the teaching design of circular angle through the introduction of the concept of circumferential angle and teaching analysis, the principle of infiltrating mathematics and the ability of developing students’ reasoning reasoning. 1 Analysis of the concept of circular angle 1.1 Important status circle is “linear ” graphics “curve ”