高中数学实验初探——以函数中的两则数学实验为例

A Study on Mathematical Experiment of High School Mathematics——Order to Two Mathematical Experiments of Function for Example

在信息时代，数学实验是一种新型的教学方式，它能够反映数学学科的本质特点，符合教师和学生的发展需要。基于上述对数学实验的认识，文章提出了数学实验的基本模式：设计问题——实验观察一猜想归纳——推理验证，并通过“两个相关函数间的图像关系”以及“求函数的最值问题”这两个应用范例予以了说明，以期对后续的数学实验研究有所裨益。

In the information age, the mathematical experiment is a new teaching method. It can reflect the nature charac-teristics of mathematics, but also satisfy the development needs of teachers and students. Based on the above understanding of the mathematical experiment, the paper presents a basic mode of mathematical experiment： design issues - experimental observa- tions - suspect that induction - inference verification. And through two application examples to be described, which is ＂the image relationship between the two related functions＂ and ＂seeking function value problems＂, in order to be beneficial to the fol- low - up study of the mathematical experiment.