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1研究缘起《数系的扩充与复数的引入》是高中数学课程中的基础知识,在《普通高中数学课程标准(实验)》(以下简称《标准》)教材中以选修课程呈现,教学时间为4课时.《标准》对选修课程内容确定的原则是:满足学生的兴趣和对未来发展的需求,为学生进一步学习提供必要的数学准备.在高中数学的教学中,要注重数学的不同分支和不同内容之间的联系,数学与日常生活的联系,数学与其他学科的联系,沟通数学学科内各部分内容之间的联系,通过类比、联想、知
1 Research origin “The expansion of the number system and the introduction of plurals” is the basic knowledge in high school mathematics curriculum. It is presented in elective courses in “Ordinary High School Mathematics Curriculum Standard (Experiment)” (hereinafter referred to as “standard”), teaching time is 4 hours The “standard” of the elective course content to determine the principle is: to meet the students’ interest and the demand for future development, to provide students with the necessary mathematical preparation for further learning in high school mathematics teaching, we must pay attention to different branches of mathematics and The connection between different contents, the connection between mathematics and daily life, the connection between mathematics and other disciplines, the connection between various parts of mathematics disciplines, the relationship between analogy, association, knowledge