The History Of Research On Plane Geometric Construction In Junior Middle School In China(1949-2012)

In the study of planar geometry the construction as the foundation of geometry has always been at the core,not only because construction is a basic skill that must be mastered in the process of plane geometry learning,but also to exercise students' logical thinking and develop good study habits of students.An important means of cultivating students' problem-solving skills.The junior high school students are in the transitional stage from image thinking to abstract thinking,and at the same time the formation stage of rigorous logical thinking.Therefore,whether it is from the junior high school students' mastery of construction basic skills,or from the perspective of follow-up mathematics learning and thinking development,exploring the junior middle school plane geometric construction research can enrich the study of geometric education history,and for the future Chinese mathematics curriculum reform and mathematics.The preparation of textbooks provides reference,on the other hand,it can provide a positive guiding role for geometric classroom teaching,and is conducive to the professional development of mathematics teachers.In the early days of the founding of New China in 1949,the school's mathematics education was in a transitional stage.With the eight basic education curriculum reforms and the gradual integration of information technology such as computers,the construction in school education and its research have gradually formed its own development Features.With the eight basic education curriculum reforms,the construction requirements of the mathematics syllabus(or curriculum standards)are gradually reduced,both in the construction equipment and in the specific learning requirements,and the research on construction is also reduced.Based on the above background,this study is based on the construction requirements in the junior high school mathematics syllabus(or curriculum standards),and the research materials published in the Journal of Mathematics and Zhongxueshuxue are the main research materials,which will be from 1949 to 2012.The development process is divided into five periods:1949-1957,1958-1966,1978-1985,1986-2000,and 2001-2012(in which ten years of the Cultural Revolution were not studied),using literature research methods and history.Research methods,statistical analysis methods and comparative research methods,from construction theory,construction problem solving,single construction,construction and algebraic connection,construction teaching,construction debate and construction fallacy Carry out research and further explain with examples of specific construction,in order to clearly reproduce the development history of junior high school plane geometric construction between 1949 and 2012.The research has the following development characteristics:(1)In the process of learning the plane geometry of junior high school,the scope and difficulty of construction are gradually reduced,and many construction requirements are relaxed or even faded out;(2)the background of construction research tends to be diversified;Although the problem-solving procedure of the graph problem is weakening,it gradually pays attention to the thinking method contained in the construction process.The conclusions of this study are as follows:(1)The research team of the junior middle school plane geometry construction has been growing,and the participation of the frontline teachers in the construction research has gradually increased.(2)The focus of the research article gradually changed.From 1949 to 1960,it focused on the introduction of construction theory.In 1960-66,the previous mathematics education was adjusted to focus on construction teaching.Although construction teaching in 1978-1985 Research still occupies the mainstream of research,but at this time it is more focused on teaching based onconstruction;construction teaching and construction to solve problems in1986-2000 has become the mainstream of research;and the integration of information technology has made the focus of construction research from 2001 to 2012.I began to turn to the theoretical study of the use of computers in the junior high school mathematics classroom.(3)Although the research on construction theory was paid more attention in 1949-2012,the research focus is different.Between 1949 and 1957,it focused on translation and introduction.From 1958 to 1966 and from 1978 to 1985,it focused more on construction teaching suggestions and teaching experience.After 1986,the research focus of construction theory turned to the transformation of construction teaching and geometric construction board.