Research On The Content Of "geometric Intuition" In The Textbook Of Junior High School Mathematics Of "Beijing Normal University Edition"

"Geometric intuition" is one of the ten core concepts presented in the "Curriculum Standard for Compulsory Education(2011 Edition)"(hereinafter referred to as the "New Curriculum Standard").The analysis of textbooks for "geometric intuition" can help to solve the teachers' incorrect understanding of "geometric intuition",so as to improve the quality of teaching and improve the quality of teachers.At the same time,engaged in the "geometric intuitive" textbook analysis,the preparation and improvement of textbooks also have a catalytic role.In this paper,combined with literature research,content research,textbooks reflect the "geometric intuitive" content of a specific analysis.Through the textbook embodies the "geometric intuitive" content analysis,thus "geometric intuitive" qualitative research,and strive to restore the textbook writer's intention.In order to better explain,first in accordance with the seventh grade to the ninth grade book in the order of the book,one by one to sort out the specific content for a specific analysis.And then in accordance with the "number and algebra","graphics and geometry","statistics and probability" three parts,respectively,from the overall analysis.This seeks to from a multi-angle,multi-faceted textbook "geometric intuitive" content of the nature of the study.Through the detailed textbook analysis of the research process,and finally get the conclusion: in the seventh grade and eighth grade textbook related to "geometric intuitive" content is more,while the ninth grade is relatively small.This design is in line with the junior high school students cognitive development and psychological characteristics.From the overall development trend,the teaching requirements of students is constantly improving,the students from the image of thinking to the cultivation of abstract thinking is continuous and purposeful.And then divided into three areas,according to the "new curriculum" in the three areas in the amount of teaching requirements,are gradually improved.Textbooks in order to achieve the "new curriculum" in the requirements,in particular,different topics designed to different columns,to reflect the different requirements of teaching.Which set the difficulty of the subject,after-school exercises for the contents of the practice are also different.And finally get four conclusions: 1,textbook preparation,in the seventh grade and eighth grade last period more emphasis on students "geometric intuitive" training;2,"geometric intuitive" requirements with the increase in grade gradually increased,in a Some of the lectures on the "geometric intuitive" targeted training.The ultimate goal of the training is to let students from the image of thinking to abstract thinking;3,in three areas,the number of algebra and the field of more applications "geometric intuitive" to learn mathematics;4,"geometric intuition" through junior high school,And "geometric intuition" is often not independent,mainly with the "space concept" and "reasoning ability" combined to solve the mathematical problem.Mastery of the study of the three points of teaching recommendations: 1,from the students have life experience,Use the method of problem solving.2,training students insight ability,from a number of angles to think of mathematics;3,understanding,mastery,...