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新课程标准的一个突出特点,就是通过情景材料感悟知识的生成过程,数学实验可以体现这样的生成过程.数学家欧拉曾说:“数学这门科学需要观察,也需要实验”.在数学实验中,可以通过实验的手段、产生的现象、出现的结果,进行判断、推理、归纳、总结,能更好地感悟数学知识产生的背景和解决问题的过程.本文就以三个实验为例来体会函数教学难点的突破过程,感悟新课程的理念.
One of the salient features of the new curriculum standards is the use of situational materials to comprehend the process of knowledge generation. Mathematical experiments can reflect this process of generation. The mathematician Euler once said: “The science of mathematics needs observation and also requires experimentation.” In mathematics experiments, judgments, inferences, inductions and summaries can be made through the means of experiments, the phenomena produced, and the results that appear, which can better comprehend the background of mathematics knowledge generation and the process of solving problems. This paper will use three experiments as Case to experience the breakthrough process of the difficulty of function teaching, to understand the concept of the new curriculum.