The Current Situation And Teaching Research Of Rural Junior High School Students' Understanding And Application Of Basic Mathematics

The "Math Curricular Standards in the Phase of Compulsory Education(2011)" has added the training requirements for students' "basic thoughts",Basic and core mathematics thoughts refers to those thoughts which the generation and development of mathematics must rely on and the basic thinking characteristics that people who have studied mathematics should have,including the three core of abstraction?reasoning and modeling.Infiltrating basic and core mathematics thoughts into middle school teaching can make students have an essential understanding of mathematics and mathematical problems and benefit students for life.In recent years,most domestic scholars have studied the connotation of basic and core mathematics thoughts and the method of infiltrating the basic mathematics thought in teaching,and have also published relevant conclusions.However,the teaching resources and the quality of teachers in rural areas are limited,teachers pay less attention to the new teaching concept and its application in teaching,Based on this,the author makes a conceptual definition of basic and core mathematics thoughts and its core content on the basis of reading literature;Then,through the method of questionnaire survey,taking the junior high school students in Linyi County of Yuncheng City of Shanxi Province as the survey object,and taking the function part as the carrier,this paper investigates the rural junior high school students' understanding and mastery of basic and core mathematics thoughts;at the same time,through interviews with the rural teachers,it also understands whether the rural teachers understand and attach importance to the infiltration of basic and core mathematics thoughts in the classroom;Then,according to the survey and interview results,and the study of the related monographs of mathematics educators,the corresponding infiltration principles and strategies are proposed.Finally,teaching cases are proposed based on the excellent teaching design and the study of basic and core mathematics thoughts.The results show that most students are eager to learn and understand Basic and core mathematics thoughts,but their understanding of Basic and core mathematics thoughts is inaccurate.When it comes to students' application of Basic and core mathematics thoughts in solving problems,in the more complex mathematical problems,They don't have a good grasp of the application of basic mathematical ideas.The rural teachers don't have enough understanding of the definition and classification of Basic and core mathematics thoughts.They don't clearly understand the difference between mathematical thinking methods and basic mathematical ideas.In terms of the infiltration of Basic and core mathematics thoughts,the teachers think that the obstacle is students' own quality and the requirements of teaching progress,Did not realize the influence of their own quality.Based on the above research results,this paper puts forward the corresponding penetration strategies,namely,the penetration should be repeated,and the penetration degree should be constantly deepened;Basic and core mathematics thoughts contained in mathematical knowledge need to be mined by teachers;lead students to "understand" the basic ideas in the process of problem solving;When the knowledge is summarized,the basic ideas contained in it should be summarized.Guide students to reflect and cultivate their mathematical consciousness;Good at using modern educational technology.This paper also puts forward the corresponding principles of infiltration,namely,the principle of sequence,the principle of infiltration,the principle of moderation and appropriateness,the principle of inspiration and the principle of construction.Finally,according to the above research results and excellent teaching cases,this paper puts forward the new course teaching and problem-solving teaching plan based on function.The purpose of this paper is to provide corresponding suggestions and methods for middle school teaching through the study of the actual situation,hoping that they can better infiltrate Basic and core mathematics thoughts in teaching,so that middle school students can not only learn mathematical knowledge,but also understand the origin and development of mathematical knowledge and the connection between mathematical knowledge and real life,so as to improve students' ability and thinking.