基于CAS环境下的高等数学教学研究

Study on the Higher Mathematics Teaching Under the CAS Environment

计算机代数系统(CAS)是高等数学教学中不可替代的认知工具,对教与学产生了深刻影响,CAS不仅是强大的作图、运算工具,而且是构建"多元表征"教学环境的有力工具,是提供数学实验及其他数学实践活动的强有力手段,能极大促进数学思维。高等数学教学利用CAS可以使自主探索、实践操作、交流互动等学习方式得到具体体现,在强化学生理解数学本质、掌握数学基础的同时,还可以促进学生数学的"发现"和"创造"能力的提升,发展其应用意识。

CAS is an indispensable powerful tool of cognition in mathematics teaching, which has a deep effect on learning and teaching. It is not only a powerful tool of graphing and computation but also a powerful tool for constructing ＂ multiple linked expression＂ teaching and learning environment. Moreover, it provides powerful means for mathematical experiment and practice, and can effectively promote mathematical thinking. Higher mathematics teaching using CAS can independently explore and practice operation, interaction and other learning methods to be a concrete embodiment. The essence in enhancing student understanding of mathematics to master the foundations of mathematics, while mathematics can also promote the ＂discovery＂ and ＂create＂ the ability of upgrading, development, awareness of their application.