2. Creating scenarios → autonomous learning and inquiry → cooperation and communication → teacher selection → feedback and evaluation;
3. Create problem scenarios by using old knowledge → show the generation and development process of knowledge through questions → stimulate students to actively explore knowledge → communicate and discuss in groups → complete knowledge learning by self-summary. For example, in the teaching process of solving the original equation with two known quadratic equations, I did not directly "dedicate" the knowledge of the textbook to the students according to the relationship between the roots and coefficients of the equation. Instead, let the students arbitrarily solve the quadratic equation of one variable (△≥0) to find its two roots, and then let the students say two roots, and I guess the equation. I guessed it all. "It's strange, how did the teacher know? This aroused the students' curiosity. Finally, I said, "As long as you listen to the teacher carefully, you can guess the equation like the teacher." Results The effect of this course is very good. 2. Give full play to the role of teaching materials and cultivate students' innovative thinking. 1. Use illustrations and introductions to cultivate students' innovative feelings and awareness. Illustrations in mathematics textbooks are not dispensable embellishments, but can cultivate students' interest in exploration, creative motivation and desire for innovation. Strengthening introduction teaching is helpful to create problem situations and stimulate learning interest. As the saying goes, "A good beginning is half the battle" and "Interest is the best teacher". When introducing new knowledge, whether it can stimulate students' interest and curiosity in learning new knowledge, fully mobilize students' internal learning motivation and create a good learning atmosphere is the key to the success of a chapter teaching. The introduction of each chapter creates a good problem situation for us. For example, in the eleventh chapter of junior high school algebra, two quadratic roots are obtained through illustration and analysis, and it is proposed whether these two quadratic roots can be simplified. How to simplify? This paper not only raises questions, but also reveals the main contents of this chapter, thus arousing students' attention to the new knowledge they have learned, which not only naturally introduces new courses, but more importantly makes students realize the importance and necessity of learning mathematics, arouses students' curiosity and stimulates students' interest in learning and desire for exploration. Doing so can also cultivate students' good thinking quality. Of course, the direct benefits generated in this way are unstable and will not last. Therefore, the introduction teaching must combine the characteristics of interest, motivation, purpose and guidance of mathematics courses, enhance students' participation consciousness, inspire students to find, think, analyze and explore problems, and then solve problems, so as to make students' interest in learning this chapter more stable and lasting. 2. Use exercises to cultivate students' innovative thinking. The cultivation of innovative thinking ability is the core of innovative education in middle school mathematics teaching, and the profundity and divergence of thinking are the basis of innovative thinking quality. For example, in the usual teaching, we should try our best to dig up teaching materials, insert interesting mathematical questions, allusions and mathematical riddles appropriately, and set up suspense skillfully. For example, the story about the age mystery of Diophantine, the golden section, the story of Gauss and so on. When teaching the application of similar triangles, I set a suspense at the beginning. Can you measure the width of the river without climbing trees? Measure how far the moon is from us with a nickel? This suspense makes students more interested in what they have learned, and students can think positively, and their acceptance of knowledge changes from passive to active. 3. Cultivate students' exploration and practical ability by "reading, thinking and discussing". According to the arrangement of teaching materials, teachers introduce students into the space of exploration and innovation, completely change the teaching mode of "teacher arranged instead" in teaching, and leave time and space for students to think according to the content of teaching materials, which fully embodies that teachers organize students to actively acquire and master mathematical knowledge and develop their mathematicians' thinking ability. The content of "reading, thinking and discussing" in the textbook is a good material after being processed and created by teachers and organized by students' math groups. 3. Organize various activities. (1). Carry out the theme class meeting: often find some students who are interested in mathematics and have good grades from the class, and carry out the theme class meeting on "How to learn mathematics well", so that they can introduce their experiences, thus driving most students' enthusiasm for learning mathematics. Many students participated actively, such as Liang Qichao, Wang Dapeng, Yang Yuanyuan, Zeng Haoran, He Wenchuan and so on. , and formed an article posted on the wall, introduced a lot of good experience. Middle school students are simple-minded and easily eroded by bad habits. If there is no correct road guidance, they will easily go astray. Therefore, they can often hold class meetings with the theme of "life topic", establish life goals and tap the value of life. (2) Multimedia and slide show teaching In geometry teaching, I generally follow the students' mathematical cognitive laws, and everything revolves around improving classroom teaching efficiency, organically combining conventional classroom teaching with modern teaching methods, so that students feel both novel and natural. Vivid and interesting drawings on the screen, especially animations, greatly stimulate students' enthusiasm for learning, while the intuitive, vivid and dynamic image demonstration process gives students' abstract thinking ability and imagination the wings of image and imagination. He also cooperated with Zhou Xiaobo to make multimedia teaching courseware and participated in the county teaching competition, which was rewarded and affirmed. (3) Carrying out various extracurricular activities Students will inevitably feel bored after studying for a long time, so it is necessary to carry out some extracurricular activities appropriately to improve their learning enthusiasm. Extracurricular activities can be carried out not only in schools, but also in the society, so that they can feel the charm and ubiquity of mathematics from their lives. To this end, I wrote a teaching paper on "Mathematics Everywhere" and won an award. 4. Hierarchical teaching. Education and teaching must teach students in accordance with their aptitude and face all students. It is necessary to change the tendency of attaching importance to exam-oriented education for only a few top students and ignoring most poor students, so that students at different levels can receive mathematics knowledge according to the gradient goal, so that every student can gain something. According to the actual teaching situation, teachers can arrange teaching objectives, teaching requirements, exercises and homework problems to maintain a certain gradient, so that students at all levels can start learning and solving problems, so that they can get the joy of success in solving problems, thus enhancing students' self-confidence and interest in learning mathematics. In the process of stratified teaching, I pay attention to five links, (1) students are divided into three grades according to their specific conditions: good, medium and poor. (2) Prepare lessons by layers. After students are stratified, teachers can prepare lessons according to the actual situation of students, so that they can be targeted in actual teaching and not let stratified teaching become a mere formality. (3) Hierarchical counseling, with students as the main body, teachers as the leading factor, training as the main line and ability as the goal. (4) Classified instruction to guide students how to improve the efficiency of attending classes; How to preview and review; How to teach yourself; How to cultivate mathematical ability, etc. While guiding learning methods, we should also help underachievers solve their learning difficulties. (5) Hierarchical goals, aiming at students of different levels, set their own learning goals for them, so that each student can have a goal that is both within reach and within reach, and constantly adjust according to his own learning situation, so that each student can summon up courage at any time and will not lose confidence. "The breadth of the sea depends on the leap of fish, and the sky is high enough for birds to fly", separating levels, acknowledging the gap, broadening the broader development space, and providing better opportunities for college students. The difference in foundation can only represent yesterday, and today's struggle is more important. 5. Establish math study groups and math interest groups. Because the object of our education is people, which is different from the products made in factories. Establish study groups according to students' math scores, autonomous learning ability, intelligence and other factors (each study group consists of 3-5 students, and one student is appointed as the team leader). Midway can be adjusted according to students' situation or requirements. In order to stimulate and cultivate top students' stable interest in mathematics and its application, broaden and deepen their knowledge, give full play to their mathematical talents, cultivate their ability to use textbooks and popular science books independently and creatively, and cultivate their scientific research ability, our class decided to set up a mathematics interest group on the basis of the mathematics study group. The work plan is as follows:
First, these students can be given some homework to solve some skillful and difficult exercises, so as to deepen their knowledge. They can also give some questions for students to solve more than one question, or discuss them in categories to exercise their divergent thinking, which mainly appears on the blackboard at the back of the classroom every week in the form of mathematical thinking questions.
Second, students can make some popular reports suitable for their own interests, such as special reports on the history of mathematics at home and abroad, or stories of famous mathematicians, and some popular introductions of modern mathematical theories, so as to cultivate scientific learning attitudes and establish their interests and ideals in climbing scientific peaks. Subscribe to extracurricular newspapers and periodicals for students, such as middle school students' study newspaper, mathematics weekly, youth digest, etc., to broaden their horizons and read more questions. Through the above methods and measures, I have accumulated experience and lessons in teaching practice. After a certain period of time, I finally made most of my classmates interested in mathematics and made some achievements.