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How to teach high school mathematics well?
Nowadays, "appreciation" education is more popular. No matter how a student behaves in class, the teacher always evaluates him with "soft words" positive language. It is even reported that students should not dial the wrong number because they have solved the wrong question, on the grounds that they should maintain their self-esteem and avoid stimulating it. At the same time, we should also praise him and think that he has the courage to go to the stage to solve the problem. I don't know that such "respect for students" is just disrespect for students. There are bright sunshine and storms in real life, and life can't be smooth sailing. Appropriate "frustration education" is just what is necessary for the fierce competition in the future society. Some articles put forward the slogan "Students are God", and it is wrong to respect students. We should treat the relationship between teachers and students in the classroom with a scientific and rational eye. "Students don't have to be lower than teachers, and teachers don't have to be higher than disciples. They are proficient in Taoism and have their own strengths, that's all. " Second, the primary task of respecting knowledge mathematics teaching is to impart mathematical knowledge and cultivate students' mathematical literacy. Teaching without knowledge is the most gorgeous teaching means and methods, which are all empty and blind. Nowadays, group cooperation and communication among students are very popular in some classes. The more lively the better, the sound of class, laughter, multimedia music, and even the sound of rambling walking. I didn't know that math class was a serious science class, not an emotional communication class, not a game class, not an activity class. Mathematics classroom should take the implementation of systematic mathematics knowledge and the cultivation of students' mathematics literacy as the only goal. A successful math class should attract students with the charm of math knowledge itself, so that students can fully appreciate the inherent challenges of math. Some people say that students have poor math scores and are not interested in math, so they should reduce their requirements, homework and examples. In fact, reducing the burden is not to reduce the knowledge content and encourage backwardness. Mathematics, by its nature, is really difficult to understand and learn, otherwise Chen Jingrun wouldn't have to type several sacks of draft paper. If you don't study, you must be strict. This is a respect for knowledge. If we respect knowledge, students will also respect knowledge, and math class will show its due beauty. Third, respect the law, respect the law, first of all, we must respect the internal logical structure of knowledge. Mathematical knowledge itself develops with the progress of society and science and technology, and generally there will be no leap. So should our treatment of teaching materials and the design of classroom teaching. In the textbooks of East China Normal University, "Similarity of Figures" is in Volume 4, and "Congruence of Figures" is in Volume 5. The reason is that graphic congruence is a special case of graphic similarity, which I think is too difficult and inappropriate. Dialectical materialism tells us that to understand and judge the nature and attributes of things, we should start with the simplest things and draw the general principles of things from the particularity of things. Secondly, we should respect students' psychological cognitive laws. Mathematics learning should be based on students' existing knowledge level and psychological cognitive law. If students' psychological laws have not developed to a certain extent, they should not be encouraged. For example, in the seventh grade of Zhejiang Education Publishing House, students just came into contact with rational numbers, followed by real numbers. Now, when some educational experts evaluate some new textbooks, they always say that classics are good, but they are distorted by monks. Why do monks mispronounce? Is it a good scripture that monks all over the world read obliquely? Some reasons are easy to understand, so don't entangle. When I was a judge of a quality class in another county, I found a contestant fully explaining the principle of "the shortest line segment between two points" for fifteen minutes. As a result, what the students clearly understood was confused by him. These are common sense of life. Obviously, there is no need to beat around the bush. Everything always develops according to its objective laws, so does classroom teaching, which can neither aim too high nor be eager for quick success. Fourth, respect your teachers as users and developers of teaching materials, as well as implementers, explorers and creators of teaching work. After long-term teaching experience has accumulated to a certain extent, it is necessary to sublimate naturally and form a unique teaching style with distinctive personal characteristics. Teaching personality should be the lifelong pursuit of every teacher and the highest realm of teaching. We should not be easily influenced by some "fashion theories", but should have our own ability to distinguish right from wrong and learn with an open mind. It is hard to imagine that a teacher without charisma can cultivate students with personality and creativity. The new curriculum standards and concepts are scientific and advanced, but they also need further testing. The old textbooks and the original educational ideas also have their own merits. "What can be said about the law? It should be clear how to distinguish between the old and the new. " . Classroom teaching should respect our teachers' own judgment, so as to make clear and correct analysis and implementation. Mathematics teaching art should be gradually improved and developed in classroom practice. Practice is the only criterion for testing truth, so are the new curriculum standards and concepts.