基于多元表征的中学数学之椭圆曲线与方程教学设计
Teaching Design of Elliptic Curves and Equations in High School Mathematics Teaching Based on Multivariate Representation

多元表征是数学教育研究的热点，同时，椭圆曲线与方程作为高中数学教学的重难点，相关的研究也很多，但关于多元表征在椭圆曲线与方程教学中的应用却少有论及。本文以数学多元表征理论为基础，对椭圆曲线与方程进行教学设计。教学设计从学生学习时认知的心理机制出发，引导学生逐步精致对椭圆曲线与方程的理解，最终达到对椭圆曲线与方程的深度理解。
Multimodal representation is a hot topic in mathematics education research. At the same time, elliptic curves and equations are key difficult points in high school mathematics teaching, and there is a lot of research related to them. However, there is little discussion about the application of multi-modal representation in the teaching of elliptic curves and equations. This article, based on the theory of mathematical multimodal representation, focuses on the instructional design of elliptic curves and equations. The instructional design starts from the cognitive psychology mechanisms of students’ learning, guiding students to gradually develop a refined understanding of elliptic curves and equations, ultimately achieving a deep comprehension of them.