The Integration Of Mathematical Modeling In The Teaching Of Secondary Curve And The Case Study

Quadratic curve plays an important role in high school math and occupies significant proportion during the College Entrance Examination over the years.Except for the normal math teaching about Quadratic curve in terms of the teaching program requirements and long-time accumulated problem-solving ways,it has obvious benefits in subject teaching and various tests.But the previous teaching methods still have lots of shortcomings and drawbacks considering the essence of math education to students’ logical thinking and problems-analyzing ability. However,math modeling is the right one to cultivate students ability in many aspects covering space imagination,intuition guessing,abstract summarizing,symbolic representation and operation solving etc.Therefore,the author would like to introduce some methods and advantages of binding the thought of math modeling with the Quadratic curve teaching and problems solving through this thesis,and some feasible referring suggestions are available in terns of the blending the high school math study into math modelingFirstly this thesis focuses on the systematic analysis of the Quadratic curve in high school textbooks. And then there is a current survey about blending these two directing at teachers and students respectively.after a profound research and study,the result shows that they two parts both pay no attention to the blending.In addition,a whole analysis and study of the blending cases summarize some general ways to solve this kind of math application problems and design some classroom teaching cases about blending math modeling into Quadratic curve.whats more,modeling is also used in other chapters of math contents in order to infer other things from one fact,grasp the whole category from one typical example,which is of great help to build a complete knowledge structure.This thesis is based on certain related documents reference materials,take advantage of the questionnaire investigating,case analyzing and then summarize the idea that how to blend Quadratic curve teaching into math modeling. It also returns the application problems to their original state through math modeling.during this process,it not only inspire the students to show interest in math,but also cultivate the ability of divergent thinking and self research, which totally happen to coincide with the idea that advocates to develop students’ practical ability during the education for all around development...