The Study On Mathematics Teaching Of The Thinking Of Combining The Figure With Chart In Senior Middle School

With the continuous progress of educational reform,the requirements of mathematics syllabus for mathematical thinking are improving,and the position of mathematical thinking in mathematics curriculum standard is also increasing.The test of mathematical thinking and methods is increasing in the college entrance exams in recent years,especially the combination of figure and chart.The thinking of combining figure and chart is throughout the teaching of math in senior middle school.It is unavoidable in the teaching of knowledge or the teaching of finishing exercise.From the set,function,trigonometric function,vector,analytic geometry to derivative,the requirement of combining the figure with chart is different at each stage.It is a gradual process.Most of the chapters of high school mathematics textbooks contain the thinking of combining the figure with chart.As a high school teacher,we must thoroughly study the teaching materials and fully excavate the thinking in textbooks.Moreover,the cultivation of the thinking of combining the figure with chart is a long-term process,and the educators need to grasp the penetration of the combination of the figure with chart from the whole.However,there are few research achievements in the analysis of the combination of number and form and the analysis of high school textbooks.Even if there are,only some chapters are involved.Therefore,based on the new curriculum of high school teaching textbooks A,with mathematical thinking method as the basis,combined with my own teaching experience in high school,and according to the process of knowledge development,this paper discusses the the embodiment and important role of the thinking of combining the figure with chart in high school mathematics teaching materials.Then,by reflecting on this research,mining teaching materials,analyzing the change of students' mathematical thinking ability and classroom efficiency,collecting and summarizing the teaching methods of high school mathematics teachers,the author provided us some practical teaching strategies.The study found that although there is no strict definition of the thought of logarithmic combination in the textbook,its ideas permeate the dots in each chapter.In the whole high school stage,the students will experience the four levels of perception,understanding,application and internalization.The cultivation of the ideas of logarithmic combination of knowledge points in each chapter progressively,gradually improving the understanding and application of the thought of the combining figure and chart.As a teacher,only the depth of mining materials,combine in penetration process of all key sections of the number and shape on the whole process,in order to explain the specific knowledge,the combination of ideological consciousness constantly strengthen student application easily,improve students' ability to use.In practical concept teaching,theorem teaching,problem solving teaching and review teaching,if a teacher have a method of penetrating thinking of combining the figure and chart,the results of the students' learning must be considerable.The purpose of this study is to help teachers integrate the idea of control and form into the mathematics knowledge system of senior high school,and achieve the effective teaching of combination of the figure and chart.