高中复数课程的内容体系分析与建议

Analysis and Suggestion on the Content of ComplexNumbers in Senior High School

课程内容是课程目标实现的重要支撑,课程内容的选择与组织应着眼于促进学生知识学习和素养发展等方面的教育目标来综合确定.在2003年版和2017年版的高中数学课程标准修订过程中,复数部分因课程内容的调整而存在明显争议,一方面强调复数在体现数系扩充方面的重要性,另一方面却大量删减复数内容.在对高中复数课程内容系统整理的基础上,以复数作为根概念,按照高中阶段的知识体系对主要内容进行初步归纳和知识之间的逻辑关系分析,构建高中复数知识之间的层级关系,进一步讨论高中复数的核心概念及其教学特征,并绘制高中复数知识结构图,为高中复数课程内容的优化提出建议.

Curriculum content greatly supports the achievement of curriculum goals,and the selection and organization of curriculum content should be comprehensively determined with an eye to the educational goals of promoting students’knowledge learning and competence development.In the process of revising of 2003 and 2017 versions of the general high school mathematics curriculum standards,there is a relatively obvious controversy over the adjustment of the curriculum content in the part of complex numbers,emphasizing the importance of complex numbers in reflecting the expansion of the number system on the one hand,and deleting a large number of complex numbers on the other.In this paper,on the basis of organizing the content of the high school complex number curriculum,we take complex numbers as the root concept,make a preliminary summary of the main contents and analyze the logical relationship between the knowledge according to the knowledge system of the high school stage,construct the hierarchical relationship between the knowledge of the high school complex numbers,further discuss the key concepts of the high school complex numbers and their teaching characteristics,design and draw the knowledge structure diagram of high school complex numbers and put forward basic suggestions for the development of the high school complex number curriculum.The study will make basic suggestions for the optimization of the high school complex number program.