Exploring The Teaching And Learning Of High School Mathematics Linear Programming

Linear programming is an important transition and embodiment of the content of new course standard and university content.For high school mathematics,it is arranged after the system of linear in two variables and linear equation content,the "Simple linear programming problem" mainly solves the problem of how to obtain the best benefit in the situation that the human,material and financial resources in production and life are limited,is the problem of optimization.In addition,linear programming is not only an important lesson in cultivating students ' modeling ability and the combination of ideas,and it is a bridge to contact distance?vector? drawing and other knowledge points.For the students who are going to go to college,linear programming also lays the groundwork for their future studies in the fields of co-ordination and economics.Therefore,the problem of linear programming should be paid enough attention in high school curriculum.Based on the research of teaching and learning of linear programming,firstly,makes a reading of the literature about the teaching of linear programming at home and abroad,on the basis of relevant theories and teaching practice,this paper investigates and analyzes the teaching situation of linear programming.The survey mainly consists of two parts,these two parts are teachers ' teaching and students ' learning.About some problems found in teachers ' teaching and some difficulties encountered in learning,the results of the survey of the teachers and the findings of the students are basically consistent,it is considered that it is difficult to have the parameter content and the Non-linear content in the linear programming part.In addition,the teachers and students ' understanding of linear programming,the choice of teaching mode and learning mode are investigated.The second part is to make a simple analysis of the content,difficulty and teaching requirement of the linear programming in the textbook and curriculum standard,do a classification summary of the college entrance examination on the content of the linear program in the past three years.Finally,according to the results of the investigation and interview,somesuggestions for the teaching of linear programming are put forward,and example some teaching cases.In my opinion,teachers should strengthen the training of mathematical modeling ability and combination ability in linear programming of students in teaching,cultivate students ' good thinking habits,independent learning and consciousness of mathematics application,adapting to the requirements of curriculum reform and the development of the Times.Students should understand the construction of mathematical model,summed up the knowledge point in the process of learning constantly,to form an efficient system of learning.