American High School Plural Teaching Research

The content of high school complex numbers is the more difficult to understand in high school mathematics teaching.On the one hand,the development process of the complex numbers itself is too twists and turns,it is difficult for the teacher to explain to the students in the limited teaching time,and many mathematicians are confused by the complex numbers;on the other hand,the scores in the college entrance examination Big,teachers and students are not given too much attention,teachers did not carefully design teaching,not familiar with the history of the complex numbers,the students are mostly part of this content to remember the main,not in-depth study.Based on the research of American high school complex teaching,this paper analyzes and collates the achievements of the complex numbers teaching,briefly summarizes the complex and the vector,provides the background for understanding the complex and the vector knowledge,discusses the American teachers' understanding of the complex numbers knowledge,To understand how they think about the concept of complex numbers,sort out the American teachers on the "complex in the complex plane representation" of a number of teaching methods,analysis of the advantages and disadvantages of each method,and then reveal the students understand the complex concepts related to the problems encountered,To develop targeted teaching strategies to provide ideas.Then we present the general teaching plan and some content guidelines of the three American high school diploma teaching.It is analyzed and summarized,which reflects the emphasis of the American chapters in the complex numbers chapters and the teaching requirements of the students and the American complex numbers chapters Teaching ideas.According to the above teaching methods,a lesson about the teaching of complex numbers is presented,and the basis and the thinking about the complex numbers teaching are expounded,with a view to providing new ideas and methods for the teaching of high school.Finally,five typical teaching videos are selected,and their teaching process and ideas are analyzed,from the depth to the first line,more specifically the study of American high school complex teaching.From the above research can be found in the United States to teach the complex numbers content,through the intuitive,analogy and other teaching methods-real arithmetic and complex arithmetic geometry of the analogy,the absolute number of real and complex analogy,rectangular coordinate system and complex plane The analogy of the multiplicative multiplication and the multiplication of the binomial multiplication,thus promoting the students' understanding of the concept of complex numbers;In the complex numbers teaching,the American teachers try to restore the complex numbers of the students to the development process,to tell the context of the complex and the application in life,into the mathematical history of the number of teaching,allowing students to see the original source of complex,and the mathematical Cultural values and application value to the students,help to improve students' understanding and understanding of mathematics;The proper integration of information technology into teaching can enable students to discover the mathematical knowledge through the independent inquiry,and provide a good platform for the creation of teaching situations for the complex numbers teaching.In addition,the United States attaches great importance to the systematic system of knowledge,The essence of the concept.