HPM视角下基于“二重原理”的复数教学设计研究

Research on the Teaching Design of Complex Numbers Based on the“Dual Principle”from the Perspective of HPM

梳理《普通高中数学课程标准(2017年版2020年修订)》中复数的学习要求及新教材中复数的数学史料呈现,厘清数学教学的“二重原理”及其在复数教学设计中的对应关系,并作一定的预设,在此基础上探讨复数的单元教学设计,以期助力于着眼提升学科核心素养下的中学数学教学.

After Sorting out the learning requirements of complex numbers in the“General High School Mathematics Curriculum Standards(2017 Edition,Revised in 2020)”and the historical material presentation of complex numbers in the new textbooks,the“dual principle”of mathematics teaching and its corresponding relationship in the design of complex numbers are clarified and certain presuppositions is made,based on which,the unit teaching design of complex numbers is discussed,so as to promote middle school mathematics teaching that focuses on improving the core literacy of the subject.