What is a model? The model is actually the simplest graph. In a discipline, it consists of the smallest knowledge module and operation method. Model solving is to solve all kinds of problems with the simplest laws corresponding to modules. Model problem solving method is a set of scientific problem solving methods that simplify complex problems. There are only three steps to solve problems with models: the first step is to find out the corresponding model; The second step is to find out the specific situation of the problem; The third step is formulation, operation and calculation. The operation flow of model problem solving is as simple as that! It's that simple for students to master! Content: General model problem solving (senior high school) includes model memory card, CD explained by famous teachers and a manual to consolidate and improve learning. Through the combination of listening, thinking, reading, taking notes and practicing, students are guaranteed to understand at first sight and learn as soon as possible. First, memorize the card and easily remember the physical "model" formula; Second, watch the CD and listen to the famous teacher explain the skills and methods of model problem solving; Third, study the manual, skillfully use various models to solve problems, and experience the magic of model solving problems. Model classification model 1: element and set model 2: function property model 3: fractional function model 4: abstract function model 5: function application model 6: equal area transformation model 7: equal volume transformation model 8: line-plane parallel transformation model 9: vertical transformation model 10: normal vector and symmetry model1/kloc-0. Type 12: conditional structure model 13: cyclic structure model 14: classical probability model and geometric probability model 15: angle model 16: trigonometric function model 17: vector model/kloc-0. Model 20: Constructor model model for solving inequality problems 2 1: Maximum model in analytic geometry makes complex physics/mathematics learning simple: the model solves problems, simplifies the complex, is easy to master, and is well received by parents and teachers! A physics/math problem that decides a child's fate? Because of this, just after the summer vacation, the heat wave of physics/mathematics tutoring for middle school students came. Various intensive classes and cram schools have appeared one after another. Many education experts call for finding the right way to solve physics/mathematics problems, otherwise it will waste time and money. In his opinion, the level of a teacher's teaching is not how many problems he has helped students, but whether he can teach students the simplest and most effective method to solve problems. This is the way to solve problems with models. Xiao Ping 'an looks confident. "Let students grasp the problem at once, find the corresponding problem-solving mode, and then naturally have problem-solving ideas. No matter how difficult the problem is, don't be afraid. " Many parents have such confusion. "Children's primary school physics is ok. How can physics/mathematics fall behind in junior high school? " "Junior high school physics/math scores are not good, and high school can't catch it!" Teacher Zhang Wendi, a special math teacher and model research expert attached to the First Normal University, bluntly said, "Junior high school mathematics \ physics cultivates logical thinking abilities such as classification, induction and reasoning. Model solving method can especially improve children's logical reasoning ability! According to my years of teaching experience, students in Grade One and Grade Two of Senior High School will definitely improve their math scores if they master the model to solve problems. Until high school, their math scores will lead all the way. And I got good grades in physics and chemistry. Teaching experts admire the "model solving method" for the finale of the college entrance examination in mathematics, physics and chemistry, and often only three or four people out of 100 can solve it. Can "model problem solving" be easily solved when it comes to this difficult problem that makes people want to cry without tears? With the question 16 of the 2008 Beijing College Entrance Examination, the author asked the famous elementary mathematics educator, the vice chairman of the Mathematics Society, and the editor-in-chief of the mathematics of the model problem solving group for advice. As soon as he saw the topic, he blurted out, "It's too easy to solve problems with models!" "This is a solid geometry problem, and many students are planted on it. There are three mistakes and two propositions' traps' in this question. How to deal with' model solving'? By observing, the lines are vertical, and associating with the formulas of' model solving' and' multiline vertical normal vector', we can construct a normal vector model to solve the problem. "The traditional solution requires 25 steps, and the process is complicated and error-prone. Knowing that Mr. Bai can finish it quickly and accurately in only 9 steps. A student who watched it for a long time next to him said in surprise, "14 points, people who could only go to undergraduate courses may focus on it!" "He Laoshi, who teaches junior high school mathematics in the middle school attached to Normal University, was dubious at first. It took him 19 steps to solve a difficult problem according to the traditional method, while it took only 7 steps to solve the problem with the model. He didn't say a word for a long time, and finally said solemnly, "I have to admire the actual effect!" "Field test: nine steps to solve this year's college entrance examination 14 big questions. What exactly is model problem solving? Can all kinds of students learn? Are all middle school textbooks applicable? With many questions, the author visited more than a dozen authoritative experts such as Lian, former vice president of the Central Institute of Education. They unanimously affirmed that model problem-solving is a great achievement of the 11th Five-Year Education Project of China Education Association, and it is the crystallization of decades of painstaking efforts of dozens of famous teaching experts, and has applied for national patents. The positive reason is that the model is refined on the basis of the most basic and core subject knowledge. Model solving is to solve all kinds of problems with the simplest laws corresponding to modules. More directly, formulas and laws are simple models. To put it bluntly, it is the routine to solve the problem. You can answer each kind of question according to the corresponding routine. Wang Bangping, a physics teacher in the middle school attached to No.1 Normal University, has been studying models, solving problems and creating teaching miracles for 22 years. His "Eleventh Five-Year" project experts have worked hard for decades. There are only three steps to solve the model: the first step (grasping the problem): finding the corresponding model. The second step (set of models): make clear the specific situation of the problem. The third step (finding the answer): according to the model, calculate accurately step by step and get the answer. For example, like the Xinhua dictionary for primary school students, all Chinese characters are classified by radicals, and no matter what words you encounter, you can easily find them. In the same way, model solving refines the knowledge of mathematics and physics in junior high school into 1 1 model and 2 1 model in senior high school, just like a "master key" that can unlock many locks and master a model, it will do countless problems of the same type, and it is also suitable for middle school textbooks of all provinces and versions, so it is called "universal problem-solving model". As we all know, Qian Xuesen, a master of science, admires the model method. " The model is a picture created by analyzing the problem, using the mechanism of our investigation, absorbing all the main factors and omitting all the secondary factors. "The news that Peking University Audio-visual Publishing House launched the General Model for Solving Problems has gained wings and quickly spread throughout the country. Parents said, "If you master this method, ordinary students can become masters of problem solving", "No matter what problems you encounter, just set the mold". For most parents who are worried that their children can't learn math and physics well. The emergence of "universal model problem solving" is like "sleeping with a pillow", so just after the summer vacation, many parents rushed to take their children to the bookstore to understand. " Children have never been able to learn math and physics well. Seeing their senior year, my hair turned white, and I have been looking for such textbooks everywhere. Now I finally found it! ""I can't do the topic, but the reason is clear. Mathematics and physics are crucial. If you don't do well in the exam and want to enter a key school, it's daydreaming! " "We are ordinary people, can't, can't, hope is in children. If the child does not do well in the exam, what is the future in this life? " "Children are studying in ordinary schools, and the starting line is much behind key middle schools. Parents should certainly do their duty to help their children! "Kobayashi, a junior one student in a key middle school in our city, said excitedly," I used to be more and more confused and less confident in doing problems. Now, I just need to recite the model formula, and I can easily solve the problem when I meet it, no matter what kind of problem it is. What authoritative experts write is just different! "Parents generally believe that" General Model Problem Solving "is the result of national projects, which not only makes children get the right questions faster, more accurately and more simply, but also makes children interested in learning, and no longer thinks that learning is boring and tired. More importantly, it can make their grades rise significantly! It's only over 300 yuan, 30 thousand more. Wouldn't it be a great loss if everyone else had it and my child didn't? Parents: "In any case, children can't afford to lose! "How helpful is model solving to students? Front-line teachers undoubtedly have the most say, and many teachers claim to have benefited a lot after reading it. Teacher Ban Geng, a repeat student in a college entrance examination in our city, suggested that students "should be registered permanent residence!" You've worked hard on your own for three years, and you may only find a little pattern. Senior experts have summarized all the rules of solving problems for you. If you use them directly, you will take fewer detours. "In order to test the practicability of the" universal problem-solving model ",Wang Yanmou, a famous special-grade math teacher in Haidian, Beijing, did an experiment in his class before the college entrance examination: 40 students in one class were divided into two groups to simulate the college entrance examination, the first group used the" model problem-solving "method, and the second group used the traditional method. Results The average score of the first group was 22-3 1 minute higher than that of the second group and 18-29 points higher than usual. According to statistics, mastering "model problem solving" can increase 17-27 points in each subject. Among the students who used "model to solve problems" in Teacher Wang's class this year, 99. 1% easily answered the difficult questions in the exam, 85% realized their dream of university, and many of them were admitted to Tsinghua of Peking University. Liu Kai, a student who has just received the admission notice from the Department of Mathematics in Peking University, said excitedly, "When the third year of high school started, my grades in my class were not outstanding, and I felt that there was no hope for the college entrance examination. At that time, it would be enough to take the college entrance examination. Unexpectedly, after using the' model to solve problems' recommended by Mr. Wang, a math problem may take more than 20 steps in the past, but now it may not be solved. It only takes 8 or 9 steps to use the model method, which saves time and improves efficiency and score. Not only did my grades go up, but I didn't have any trouble with the questions that top students were embarrassed to do. "Interestingly, the research group has compiled each model into an easy-to-understand formula, such as the equal volume transformation model." The distance between a point and a plane is different from that of a plane straight line, and the equal volume transformation effect is obvious; The top base is in a cone, and the equivalent equation will never change. ".The teacher of No.1 Middle School applauded after reading it. "It's like a folk proverb,' thunder comes first, there is not much rain', which is a summary of the laws of complex natural phenomena, easy to master and very effective. Nowadays, many students who benefit from the general problem-solving model of Peking University affectionately call it the "fool" method of learning mathematics, physics and other subjects! I believe that in the summer vacation of 2008, the children's feelings are: "Math, it's easy to say I love you! "Solving problems with a universal model: the research results of" Evaluation and promotion of high-quality educational resources ",a key topic of the Eleventh Five-Year Plan of China Education Association. Front-line teachers: "model" is like a formula, easy to learn and use!