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How to be a good math teacher and seek answers.
"Mathematics Curriculum Standard" points out that teachers should stimulate students' learning enthusiasm in mathematics teaching activities, provide students with opportunities to fully engage in mathematics activities, and help them truly understand and master basic mathematics knowledge and skills, mathematics ideas and methods in the process of independent exploration and cooperative communication, so as to gain rich experience in mathematics activities. From the human point of view, mathematics classroom is regarded as a big stage for students to show their passion, wisdom and personality, and a paradise for students to freely explain life problems by using mathematics knowledge, so that mathematics learning can also be poetic. Therefore, I think math teachers should try their best to do the following: 1. Throw stones in still water and break the dull air in math class. Generally speaking, some students are not interested in learning mathematics. This is not an alarmist. They think mathematics is abstract and difficult to understand, and they are bored in the process of learning. At the same time, our math class also lacks passion and vitality, and the teaching materials are more rational than emotional. Then, how to make these students (called "gray children" by educational psychology) get rid of their boredom with mathematics, and how to improve their mathematics learning level and mathematics application ability? First of all, teachers should create a pleasant learning environment so that every student can actively join the ranks of learning. As a math teacher, when studying math teaching, teachers should not only pay attention to using vivid language and various teaching AIDS to improve students' interest in learning, but also actively carry out extracurricular activities on various math topics, so that students can understand math knowledge in a pleasant atmosphere and develop their personality on the basis of spiritual satisfaction. Second, teachers should look for the "bright spot" in each student, and use it as a breakthrough to help them establish their self-confidence in learning mathematics well. If a teacher thinks that learning mathematics means learning a batch of rules, laws and formulas from books and then using them to solve problems, then his teaching methods will certainly not improve much. The reason is often due to teachers' overuse of conventional problem-solving methods, so that most students only know to accept the stimulation of problems and make mechanical responses, instead of understanding, exploring and reflecting, and do not know the true face of mathematics. Give an intriguing case: "When asked when the hour hand and the minute hand coincide, most students in China pick up pens to calculate, while students in the United States dial the hands more". In my opinion, when preparing lessons, teachers should first assume that they are a student, read with students' eyes and think with students' way of thinking. To find out what students' thinking is, we should pay attention to the pre-class investigation. On the basis of finding out the actual situation of students, we should read the teaching content with students' eyes, think about the teaching content with students' psychology and way of thinking, predict what puzzles students will encounter when learning new knowledge, and what opinions they will form, so as to determine which knowledge is thoroughly explained and which knowledge leaves room for students to think freely. In particular, teachers should find the bright spot of students' learning mathematics, even if it is only a fleeting spark of thinking, and let it shine. In the future teaching, we should better consider how to cultivate students' ability to ask valuable questions, so that students can enter the classroom with questions and leave the classroom with more profound or even more questions. We should teach students more and more "problem consciousness" and dare to challenge teachers and the texts they have learned, so as to better cultivate students' innovative ability, instead of training students into tame tools. Second, learn to be suspicious, knock on the heart of students' mathematical thinking, and learn to be suspicious. "There is no doubt for students, and there is doubt to make progress." Mathematics is a tool of thinking, and students' positive thinking often starts from problems and develops in the process of solving them. Therefore, in teaching, teachers should constantly design problem scenarios according to the content characteristics of teaching materials, at the connection point of old and new knowledge and at the key points of teaching. Inquiry learning is the golden key to cultivate students' innovative thinking and a good way to stimulate students' interest and enthusiasm in exploring knowledge and release each student's potential and talent. Therefore, teachers are required to grasp the problems of geoscience keenly, let go boldly, let students explore independently, and truly become discoverers, researchers and explorers of knowledge. 3. Dance with wisdom to expand the space for students to learn independently. In the actual mathematics teaching, due to the current evaluation system, administrative system, class size and students' power, some students have a low structural position in the classroom, and their classroom roles are mostly obedience (obeying teachers' instructions) or patience (enduring teachers' criticism and many time-wasting phenomena). Usually students learn mathematics, but teachers still teach them and they learn; Teachers talk, they listen; The teacher gave an example and they followed suit. Although it is not a common phenomenon, many things in mathematics are invisible in daily life, so students who have not been taught by teachers do not understand it and have been in a passive state. Students studying mathematics is like visiting a museum. "Visiting the museum" means following the sign "Go straight from here" until the "exit" is over. Visitors can't see what they are familiar with, because the lecturer talks endlessly; Tourists can't see more interesting content, because the narrator and the team went to the front again. This leads to resistance, especially in the classroom of senior students, which is mostly manifested in negative forms such as silence, dissatisfaction or non-participation. In addition to cognitive teaching, teachers should also build up students' confidence, pay attention to the development of educated personality and wisdom, and establish a "smart classroom". In mathematics teaching, only by expanding students' autonomous learning space in many ways can we further optimize the teaching quality, make the classroom more intelligent and improve students' quality. The model of "learning course navigation" which is strongly advocated now also embodies this view. Exploring practical problems is helpful for students to understand the application consciousness and practical value of mathematics. Every day, let students walk into the math classroom with strong interest, so that students can always maintain a positive attitude and pleasant experience in math learning. Students have learned that there is no limit to learning, and the math classroom has become their smart home. Mathematics will really enter the hearts of students and become the most beautiful thing in their hearts. Fourth, create a learning atmosphere and enrich theoretical knowledge. As a teacher, we should always think about learning, think about learning everywhere, and everything runs through learning. Learn from yourself, from time to time give full affirmation to your studious self, enhance your self-confidence and persevere; Learn from the famous teachers around you, always keep an open mind and be good at asking for advice; Learn from books and "talk" with masters you have never met. Read more famous books on educational theory. Reading these famous books can systematically understand the author's educational theory system and educational personality, so as to make a comprehensive reference and comparison, have an impact on his own educational ideas, and make the education and teaching process have the "shadow" of experts. After a long time, his own educational personality was formed. Besides, read more professional theoretical journals. We are dealing with children who are changing every day. Should our educational means, teaching methods, classroom art and teaching materials be changed? Reading professional theoretical journals can make you stand at the forefront of professional teaching and scientific research, and have the opportunity to contact, discuss and apply the latest teaching concepts (methods, means and processes), so as to gain the greatest benefits in the shortest time and inspire your wisdom. A thoughtful and meaningful teacher's class is absolutely wonderful, and the children's gains are also very rich. From concept to behavior, teachers should have an essential change, from a teacher who can only impart knowledge to a wise teacher who can teach students to think, and then to a higher-level master who edifies students with intangible culture. Only in this way can we pay keen attention to the hot issues in teaching, improve our thinking and judgment ability without blindly catching up with fashion, and expand our horizons while improving our theoretical literacy. He suggested that everyone should systematically study some books and periodicals about mathematical education ideas and mathematical thinking. The so-called stand high and see far, if teachers themselves do not have profound academic accomplishment, they can only fall into the quagmire of blindly following the trend. How do they consciously guide students to understand the cultural value and thinking value of mathematics? What is the "mathematics taste" of mathematics classroom? What can inspire students to love mathematics deeply? I think as long as you do the following "hearts", then you are not far from the wisdom teacher. Obsessed with education and become an emissary; Concentrate on learning and become a "scholar"; Create with your heart and become a wise man; Concentrate on research and become an expert; Seriously reflect and become an expert; Carefully manage and become a "housekeeper".