First, moral education is only to efficiently form the expected environmental services.
"The success of moral education will strongly promote the process of developing intellectual education; The pallor or confusion of moral education will make intellectual education work smoothly "(in Sun Weigang).
How does Sun Weigang teach mathematics? He said: "extending in all directions, blending into one, the river is full and the fish is shallow."
Second, multiple solutions to a problem (to achieve familiarity), multiple solutions to a problem (to seek * * *), and multiple solutions to a problem (to seek the law)
Sun Weigang trains students to "dare" to ask questions; Second, we should "meet" questions; The third is to find out the relationship between this knowledge and other knowledge after discovering the problem. Others completed the formula of 1 18 in high school mathematics in three and a half days. When I was in junior high school, I finished all the math courses in senior high school in three years in advance, and also added a lot of contents that were not in the textbook and some math courses in the university. From the second day to the middle of the second day, you can complete the math paper of the college entrance examination the previous year with excellent results.
However, there is always "inequality" between Sun Weigang students' grades and "dedication": there is no preview before class, no notes in class and no homework after class.
What does Sun Weigang rely on?
He said, "I'll give the students a question. I have to do 10 first, and choose the most exciting, typical and inspiring one. "
In Sun Weigang's bookcase, the reporter found a thick stack of hardcover books. There are 22 counts (but this is only part of them). It is painted with various geometric figures such as triangles and cones, and there are many problem-solving notes beside it.
He created a "triple jump" for students to solve problems: multiple solutions to one problem (to be familiar), multiple solutions to one problem (to seek * * *) and multiple solutions to one problem (to seek the law); He summed up four laws for students, the law of 15 and more than 30 small laws, so that they would never do problems again from grade one to grade three, from algebra to geometry.
Third, learn in the visible system, know what you lack, and know what you have. Know yourself, know yourself.
Wei Shusheng believes that students should be helped to solve the problem of "what to learn" in teaching. To this end, he discussed and discussed with students many times, drew a knowledge structure map of Chinese subject, and organized it into a system of branches, branches and leaves, which was called "Chinese knowledge tree" or "knowledge map". Doing so will enable students to "have a clear goal with this' map' when the thinking car is driving on the knowledge Yuan Ye, and take fewer detours".
Sun Weigang divides teaching knowledge into three meanings from a systematic perspective: first, every mathematical concept, theorem, formula and other knowledge is transmitted under the condition that trees are more visible than forests, and trees can only be seen when they are seen; Second, in the teaching process, encourage students to trace back any details, ask why everything is, and find the connection between it and other things; Third, teaching in the system. Sun Weigang believes that the role of this practice is: "Let students discover that knowledge is intertwined and integrated with each other. Later, knowledge seems to be in the palm of your hand, just like the palm of your hand, and it is no longer a messy pile of rubble and a daunting Gobi Desert."
Fourth, teach students learning methods.
The ways to cultivate self-study ability in Wei Shusheng are as follows: first, to improve students' understanding of cultivating self-study ability; Second, teach students how to learn Chinese, such as how to read a Chinese book, how to read an article, how to improve the efficiency of Chinese learning, and how to make a Chinese learning plan. Third, guide students to persistently adhere to the self-study plan and formulate a scientific management system to implement it. Fourthly, in order to further improve students' self-study ability, he also gave students some things that teachers do in traditional teaching: teaching students how to keep homework, how to correct homework and how to write papers.
Six-year Mathematics Teaching in Sun Weigang: First, almost every example, theorem and formula is to guide students to do it by themselves. Second, we should create conditions in the classroom, create an atmosphere in which students always want to challenge teachers in front of teachers (including textbooks), and let students train their thinking in the thinking movement. Let students come to the front one by one, which promotes the mutual infection of intelligence among students. Thirdly, starting from the characteristics of mathematics, guide students to get to the bottom of knowledge, find the connection and law between knowledge, learn new knowledge through comparison, think about problems from a philosophical height and pay attention to association. Fourth, in solving problems, guide students to have multiple solutions to a problem, unify multiple solutions, unify multiple solutions, sum up the characteristics of * * *, separate personality, and sum up a set of scientific and effective law of solving problems. Fifth, advocate and guide students to carry out problem research and practice writing papers and summarizing. Sixth, we can't ignore the work of reviewing and summarizing. After students finish their homework, they should review, summarize and reflect. Only by covering up and reflecting can they find and optimize. Seventh, there is no such thing as "why". You need to ask "why" to know why, and you need to ask a why. Encourage students to explore and innovate boldly, express their views and debate. Teacher Sun believes that if a teacher only explains the problem-solving process step by step, even if he understands it in detail, he can't tell how these steps are worked out, which has little effect and even has a negative effect on the improvement of students' problem-solving ability. You should be clear about your feelings and thoughts at that time, learn to reflect in clumsiness, learn to ask questions and solve problems.
Compile the teaching material of "Structure Teaching".
Intransitive verb others
Sun Weigang said that knowledge itself is not important. It is most important for students to ask why in mathematics, and to develop scientific thinking habits through mathematics teaching. Knowledge is interrelated, and teachers often repeat previous knowledge in class. At this time, students should try to find the connection between old and new knowledge, so that learning mathematics becomes simple and interesting.
In his class, it is basically to write out the questions and formulas first, and then let the students discuss and demonstrate on the blackboard. The teacher will give directions to let the students learn to find the rules.