How to be an effective math teacher
Abstract: To be a math teacher that students like and make students like your math class, it is necessary to improve teachers' own literacy. This paper briefly describes how to improve teachers' quality from several aspects.
[Keywords:] professional knowledge literacy of mathematics teachers
In the eyes of most students, mathematics classroom learning is mostly fixed knowledge, theory and practice, so it is easy to make the classroom boring, make students unwilling to listen, easily distracted and even sleepy. To break this situation, it is not obvious to rely on the teacher's criticism, but if the teacher's language is lively and interesting and rich in content, then students will continue to attend classes and are willing to study in a relaxed and happy atmosphere. How can teachers effectively complete teaching tasks in a relaxed and active classroom and let students learn actively in the classroom?
First, rich professional knowledge of mathematics.
Teachers must have solid professional knowledge to teach this course well. For example, as a math teacher, you should be an expert in solving problems, and you should be able to help students solve difficult problems. Otherwise, it is difficult for you to establish prestige among students and to cope with it in class. In addition to being familiar with textbooks, teachers also need to know some knowledge related to mathematics, such as the history of mathematics development, mathematical application knowledge, new mathematical information and so on.
Nowadays, mathematics education makes students feel very boring. The more they learn, the less interested they are. The more they learn, the more afraid they are. They find math difficult. If teachers can master more examples of the application of mathematics in life, it will not only enrich the classroom, but also stimulate students' thirst for knowledge, make students feel that mathematics is everywhere and available at any time, and students' interest in learning mathematics will grow. Now open the newspaper. Topological structure? 、? Digital earth? 、? Random change? 、? Linear programming? Such a noun looms large. What? Stock market chart? ,? Price analysis table? Everywhere, mathematics is around us, and everyone living on the earth is increasingly inseparable from mathematics. Another example: teaching? After the axisymmetric figure? Later, I asked the students to walk out of the school gate, observe the surrounding environment and find out which objects in life are axisymmetric. Students find that the objects they see every day but don't realize are axisymmetric figures. For another example, when "using points on the number axis to represent real numbers" talks about real numbers and points on the number axis? One-to-one correspondence I won't talk about their relationship. For example? Cars and brands? 、? People and fingerprints? 、? Country and flag? Wait, let the students understand their relationship? One-to-one correspondence, and then talk about the relationship between real numbers and points on the number axis, which is easier to understand and accept.
Math teachers should read more books to improve their knowledge of educational theory. For example, read more books on mathematical pedagogy, mathematical psychology, the history of mathematical development, and the interpretation of mathematical curriculum standards. Through reading and thinking, the accumulated materials can be upgraded to theories and transformed into abilities-educational ability, keen information absorption ability, flexible ability, attractive language literacy and the ability to master words and summarize. For example, I told the students the story of Euler, a mathematician, before I talked about the real number chapter of mathematics in the eighth grade of People's Education Edition last semester:
Euler is a famous mathematician in the history of mathematics. He has made outstanding achievements in several branches of mathematics, such as number theory, geometry, astronomical mathematics and calculus. However, this great mathematician was not liked by teachers at all when he was a child. He is a pupil expelled from school. After returning home, he helped his father herd sheep and became a shepherd boy. He read a book while herding sheep. Among the books he read, there are many math books.
Dad's flock increased gradually, reaching 100. The original sheepfold was a little small, so my father decided to build a new sheepfold. He measured a rectangular piece of land with a ruler, 40 meters long and 15 meters wide. He calculated that the area is exactly 600 square meters, with an average of 6 square meters per sheep. When he was ready to start construction, he found that his materials were only enough for the fence of 100 meters, which was not enough at all. If you want to enclose a sheepfold with a length of 40m and a width of 15m, its circumference is110m (15+15+40+40 =1/kloc-0). If we want to build it according to the original plan, my father feels very embarrassed. If the area is reduced, the area of each sheep is less than 6 square meters. Little Euler told his father that there was no need to shrink the sheepfold and not to worry that the territory of each sheep would be smaller than originally planned. He has an idea. Father didn't believe that little Euler would have a way, so he ignored him. Little Euler was in a hurry and said loudly, only moving a little stake in the sheepfold.
Teacher: Students, do you want to know if Euler can expand the area without changing the materials? If we learn the content of square root, can you solve the problem as intelligently as Euler?
When talking about the content of "using letters to represent numbers", the beginning introduces an interesting experience of Ai En Stein. A young man asked Einstein to tell him the secret of success. He wrote a formula: a = x+y+z and then asked the students, if you are that young man, do you understand the meaning of A=x+Y+z given by Ai En Stein? Before learning this lesson, students' understanding of numbers expressed by letters is very strange and will feel very abstract, so some students will feel nervous and lack interest in learning. Quoting Ai En Stein's answers not only makes the classroom atmosphere more relaxed, but also attracts students to study actively. When students get to know each other. So letters can represent many things? Tell the students that Ai En Stein explained it this way: A stands for success, X stands for labor, and Y stands for correct working methods. So what does the last term z mean? The young man was puzzled and couldn't wait to ask, only to find that he replied:
? Z stands for cut the crap! ? Mathematics can not only increase people's knowledge and develop people's intelligence, but also nourish people's spirit.
Second, enrich the knowledge of other disciplines.
Students' learning in class is not limited to subject knowledge. Students are in a period of curiosity and thirst for knowledge. They prefer to hear voices outside the classroom. Teachers talk about some extracurricular knowledge in class, and students often listen attentively. Because as a teacher, in addition to the knowledge taught, we should also enrich the knowledge of other subjects.
For example, a math teacher said? Conic curve? Say: It not only has a soft and smooth shape, but also has rich and profound connotations; Round, perfect, beyond reproach; The spiral winds and stretches, suggesting a certain meaning of life; The asymptotic line can't be defeated, which arouses people's endless pursuit. ? Draw a straight line on the blackboard. There are two points on both sides of a straight line? Pointing to two points, he murmured: What is this called? Two orioles singing green willows? So, what about this straight line? The students all replied:? A line of egrets to heaven? . In this way, abstract mathematical concepts, through the magical golden bridge of language, penetrated into the hearts of students full of exploration, and were also influenced by the spirit of truth, goodness and beauty.
For example, Exercise 7.3 of Binary Linear Equations in Grade 7 of East China Normal University. One topic is like this: In order to make more effective use of water resources, a city has formulated a water charge standard: if the monthly water consumption of a family of three does not exceed Am3, it will be charged according to water per cubic meter 1.30 yuan; If Am3 is exceeded, the excess will be charged at 2.90 yuan per cubic meter of water, and the rest will still be calculated at per cubic meter of water 1.30 yuan. There are three people in Xiaohong's family. 1 month, * * use 12m3 water, and use 22 yuan to pay the water fee. What is the water standard A set by the city? How much m3 of water does Xiaohong's family exceed the standard? When a teacher was in that fitness class, she gave lectures like this. First of all, when the students look at the topic, the teacher asks a question: What does this topic say?
The student replied: The topic is about water charges.
Teacher: Yes, after reading the topic, if you want to pay less water, you should try to save water and not exceed that water standard, right? But have you ever thought that saving water is not just about spending less money? Do you know what are the five major environmental problems facing mankind? One of them is the shortage of fresh water! Do you know how many fresh water resources there are in the world? Freshwater resources only account for about 1% of the total water bodies in the world, most of which are permanently frozen in Antarctic and other places, and the freshwater resources that human beings can really use are less than 0.03%. According to the data of the National Bureau of Statistics, the total freshwater resources in China in 2004 was 2,652 billion.
M 3 ranks fourth in the world. China's population is 654.38+0.3 billion, and its per capita water consumption is only 2040m3, making it one of the thirteen countries with the poorest per capita water resources in the world.
Each of us needs water every day. If each of us can save 0.5 kg of water every day, how many tons of water can our classmates save every day? Our country has a population of1300 million. If each person can save 0.5 kg of water every day, how many tons of water can you save every day? The students are calculating carefully. After dozens of seconds, the teacher wrote the answer on the blackboard: 4.5? 10 5 tons! In other words, one day can save: 450,000 tons of water! Therefore, it is necessary and meaningful for you to save water. Will you remind yourself to save water from now on?
The students reacted strongly and said loudly: Yes!
In this case, the teacher briefly describes the current situation of fresh water resources and the importance of saving water through examples in the textbook, so as to teach students to save water from themselves.
Third, it can effectively control the classroom.
Although, classroom teaching includes? Teaching? With what? Study? However, in two aspects, the key to the success of classroom teaching lies in the teacher's ability to regulate the classroom. Whether a teacher is mature or not depends on whether he can control the classroom. When the new teacher is in class, what he thinks most about is himself? Teaching? I am afraid I made a mistake and missed it. Mature teachers are more considerate of students in class. Study? . He can not only skillfully organize teaching and successfully complete teaching tasks, but also properly control classroom emotions, seize the opportunity to mobilize students' enthusiasm, and make students actively participate in the whole teaching activities. I believe that good teaching results will be achieved. Of course, students' classroom discipline is also a key factor affecting learning. If students are noisy, absent-minded or fidgety in class, teachers should not only impart knowledge, but also pay close attention to each student's classroom situation and find and remind students in time.
Fourth, good language skills.
Language expression ability includes spoken and written language, which is a comprehensive reflection of teachers' logical thinking level, and also the ability of teachers to organize and handle teaching materials and use words. The expression of mathematical language needs not only strict science but also artistry. When you can combine science and artistry perfectly, your basic skills as a math teacher will reach a certain level.
Mathematics is not only a tool, but also a culture. Therefore, mathematics teachers should show the beauty of human nature in classroom teaching, and cultivate and develop students' concepts, abilities, languages, thinking and psychology. Teachers must also pay attention to self-cultivation, set an example everywhere, and influence students with their own spirit, thus making education attractive and convincing.
Did you get a look at him? Thesis title, Gansu? People still see:
1. Title of Teachers' Commentary in Gansu Province.
2. Title of Gansu Teachers' Appraisal Thesis (2)
3. Thesis title, Gansu Vice Senior Middle School Teachers
4. Thesis title, a teacher in Gansu Province
5. Thesis Title, Teachers of Vice Senior Middle Schools in Gansu Province (2)