An observation class was filled with emotion.

20 19, Wednesday, the last day of July. When I got up at 5: 30 in the morning, the weather was still gloomy, as if I had wrapped the sun in a black veil, adding a little coolness to this hot summer, and I was in a good mood! When taking students to further education school, Sun suddenly sang "Face/Close", feeling that she was very enthusiastic and in a good mood! The students sat down and debugged the video courseware. I explained the lecture and Miss Gao explained the lecture. The whole morning ended in intensive arrangements, and I felt a lot.

First of all, be grateful.

The fate between people is to meet in life and die in life. Appreciate every encounter, acquaintance and help in life.

1. Thanks to Master.

? A lifelong teacher is a father, not to mention a lifelong teacher. This is why I call the elegant, dignified, intellectual and atmospheric Korean teacher a "master". After the lecture "Reconstruction and Transformation of Teaching Materials under the Core Literacy of Primary Mathematics", we became attached to an emotional article "Blooming of Life". Up to now, less than four months have passed, and a * * * has met four times, given two lectures (she gave lectures on the stage, and I attended classes under the stage, but she didn't know me), once was the first seminar in the studio, and then this lecture. During the period, everything was WeChat and telephone contact. But I feel that we have known each other for four years, and for more than three months, she gave me guidance in my work and study like a mentor; Family-like care and encouragement for my life, often say to eat well, sleep well and be beautiful.

? I used four points to explain her in What We Learn from Famous Teachers. So I won't go into details here, but I'll talk about this lecture: A few days ago, Teacher Gao said that I should prepare a class and talk about it in a further education school. My first reaction was, "Can I do it? Don't smash your famous teacher's field? " It's not stage fright. I think my psychological quality is excellent. As long as there is something in my mind, I can show it. But because I know my own strength, teaching in the sixth grade is the second year, and there are few students in the office school, and there are only one subject and one class. I usually teach by myself. This level is still lacking in confidence in front of more than 200 teachers and experts from different schools. However, Mr. Gao's sentence "Prepare well and you will be excellent" suddenly dispelled my idea of shrinking. She always speaks in a crisp and neat way, and always does things in a resolute manner, without dragging her feet. If I retreat again and again, it seems that I am indecisive, indecisive and hesitant. In other words, I just started talking to this famous teacher. Even if there are mistakes, the teacher will not blame my senior teacher for my low level now. Broken wood is born in the end; The nine-story platform starts from the foundation soil. There is a first time for everything. I allowed myself to be imperfect in my life and prepare wholeheartedly, so I began to make courseware and conceive teaching design, and everything was ready. Already very confident, in actual combat, there is still a deviation from the ideal. My outspoken class is in stark contrast to Mr. Gao's feeling of flowing with students in class. But Miss Gao praised me in front of the students, did a lot of "whitewashing" for my imperfect class, and even belittled herself to support me. When I stood at the highest place behind the lecture hall and listened to her praise at the lowest place in front of the lecture hall, I obviously felt that she was standing at the top of the high mountain and I was standing at the foot of the mountain. The height of Miss Gao and the height of her soul make me feel the extreme dislocation of our height again. All the students who have listened to her lectures know that Ms. Gao's lectures are simple, theoretical, practical and operable. It is a perfect combination of abstraction and reduction. This is what she explored, summed up and thought out in more than 20 years of teaching experience. Luo Zhenyu, the founder of the application, said: "Many things cannot be thought deeply without abstraction, and the truth of the matter cannot be obtained without reduction." Because all the research will eventually be put into practice, the research divorced from reality has become a sit and talk.

? My teacher, my friend, my sister, her own kindness and her high emotional intelligence always make people feel comfortable and carefree for others. From acquaintance to now, following her has broadened my horizons. Although there are still deviations in action, compared with the way of walking without goals and objectives, my mind is clear now, just like a light in a dark field indicates the direction of progress. Of course, growth is a long process, just as Mr. Gao said: I am not afraid of slowness, but I have the mood to take a snail for a walk! Appreciating a person begins with face value, respects talent, is good at kindness, fits with personality and ends with personality. Thank the teacher for being so tolerant, patient and careful with me!

2. Thanks to Director Fan.

When several leaders of the teaching and research section of the Education and Sports Bureau visited our school, Director Fan Chunlei listened to my class. He evaluated the class from the teaching theory, teaching concept and the practical experience of his first-line teachers. He is well aware of the shortcomings of my teaching methods and ideas. At that time, due to time constraints, he failed to ask for advice. When I asked him for advice on this lecture, Director Fan gave his opinions and suggestions carefully and patiently in the busy interval, emphasizing that the original and original classes could not be acting classes, and the authenticity and flexibility of the class were lost. Thank you very much

3. Thanks to the leaders and teachers of the further education school.

? When I arrived at the classroom in the morning, I thought about playing video synchronously with my mobile phone with 10 1. I found that there was no internet in the classroom, so I contacted Mr. Cao. Without saying anything, he went to the fifth floor classroom to help check the installation. In the last training, he and Mr. Zhao Linping were my head teachers. After five days of getting along, their serious and responsible attitude of coming early and leaving late left a deep impression on the students. In Mr. Cao's words, they "appreciate every time we meet". During the lecture, the lovely and kind teacher Lin Ping sent me photos to cheer me up.

? Director Wei Huaiming was re-elected as my class teacher for two terms. He is wise, modest and relaxed, and he is also the head teacher of my class. It's good to see him. Different from my student days, I feel precious and cherished when I meet my teacher as an adult, so I regard the further education school as my alma mater. I am an excellent student in every training. Every time I mention the further education school, I feel warm!

? This time, I want to thank Mr Liu Yurong in particular. The students are out of class. Because of the hot weather, parents are waiting, and they are eager to bring the students back. We started before the teacher finished. When I walked to the door, I found that there was no taxi at all, and I couldn't sit in a car. Just thinking about calling a taxi, Mr. Liu stopped the car and let the students get on the bus directly, thinking about going to a place where there is a taxi to let her go back. Unexpectedly, she insisted: "You're welcome, just lead the way ahead." When we arrived at our school, Teacher Liu said in an understatement that she was in a hurry to pick up people and drove too fast to avoid the thrilling scene that the tanker almost collided with the vehicle in front. She only said "I may have scared the child", but she didn't mention her frightened mood and safety. The first time I met Miss Liu, she helped me in this way. I think this is not only for me and my students, but also for Miss Liu Yurong, who has a gentle and wise smile.

? There are such a group of pragmatic, capable, self-denying, sincere and United people in the further education school to fight and stick to a common goal, which is difficult to develop! Continuing education schools not only injected fresh blood into Xiangcheng education, but also trained a batch of educational talents.

Grateful to the team

? More than 20 teachers in our Korean studio come from more than ten different schools. They are active, optimistic, studious, modest and talented. Since the establishment of the studio, I have never missed the opportunity to attend classes provided by any teacher. I took notes carefully and wrote down my feelings. A pile of sand is loose. When mixed with cement, stone and water, it is harder than granite. In this team, I feel very small, like a frog in a well. For more than a month, my brothers and sisters in the studio gave me constant support and encouragement, which made me dare not neglect and promoted my growth. A drop of water will never dry up until it is thrown into the sea. When a person is integrated with the collective in need, this power is the most powerful. I believe that under the guidance and guidance of Bole, all our horses can become swift horses! I also believe that my left-behind horse can catch up with this powerful army.

Second, the power of habit.

? Today, many people are used to brushing WeChat, browsing the web and following dramas. Two habits of Koryo are reading and online research. I am used to reading for an hour every night, and I am used to online teaching and research for three hours every week. There are books in the car, bedside and desk. If you have time, you can read them. Someone asked her how she persisted. She said, "it doesn't matter whether you insist or not, it's just a habit." If you have a good habit, you don't need to work hard and stick to self-abuse. Turning efforts into demand is like feeling uncomfortable without brushing your teeth and hungry without eating. It has become an indispensable part of our lives, and it is difficult to get fat. What I lack is such a habit, a natural habit, to excuse myself with the excuse of accompanying my children. I always want to find a fixed undisturbed time to finish things, and I won't use fragmented time. Here, I think of the scene of Hu Xinying, director of the teaching and research section, holding her child in her arms while she was studying. There is no shortcut to success, you must pay. Don't just see the bright side of others, envy them for living better than you, but never see the hardships behind them. Like Mr. Gao and Director Hu around us, I am used to reading (professional, modern, historical and traditional), practicing (exploring new knowledge) and writing (recording activities, reflecting on life, summing up life and rallying people's hearts). There is no rest day, and staying up late has become a common practice. You know, the more active you are, the happier you are, and the harder you work, the happier you are!

Third, reflection on this lesson.

1. Select a topic.

This lesson "lateral area of Cylinders" is separated from the lesson "Understanding of Cylinders" for three reasons: (1) So far, I am teaching mathematics in Grade Two and Grade Six. The first time I attended this class, I found that the time in this class was not enough and I was very confused. Because it takes about 25 minutes for students to observe, feel and understand the names of various parts of the cylinder, and then it involves deducing formulas and calculating lateral area, which is either scribbling or interrupting. (2) The students in the class are mainly left-behind children, and 60% of them are resident students, so it is very unlikely that they can get study guidance from home. In addition, students have a poor foundation, so it is much better to eat less and eat more meals in class than to swallow them in one gulp and then digest them slowly. (3) Just when I was at a loss, Teacher Gao's "Reconstruction and Transformation of Textbooks under the Core Literacy of Primary Mathematics" made me know that not every class should be divided into fixed class hours according to the requirements of the syllabus. This teaching idea of reconstructing and transforming teaching materials has come into my teaching life like a bright lamp, which has opened the way for a primary school student who has no teaching experience and is confused and helpless, and let me know that fractional multiplication and division can be taught in one class, as well as direct proportion and inverse proportion. So I boldly split this lesson.

2. Mode of import

During my two years in the sixth grade of primary school, I talked about the method of separation once. Or the students in this class received the "order" from Mr. Gao. I thought that if the students didn't change the way of introduction, they wouldn't feel anything new. Because my daughter likes to do manual work, I thought of the situation of children doing manual work, but the little model didn't cooperate. She usually talks in the same way, so it's really bad to be an actress. At this moment, it is not easy to understand the director. The video is not perfect, and I have no chance to shoot it again. I think it can have a corresponding effect, so I will make do with it. First of all, the students are familiar with the two children. In addition, handwork is more suitable for students' life, which can stimulate their interest and guide them to turn waste into treasure.

3. Inspiration in exploration

? The idea of "turning straight into curved" comes from the cardboard in the video to wrap the milk powder box.

? Let the students observe, find and operate by themselves, and wrap the cardboard around the box (after this class, I found that it is totally unnecessary for the students to cut paper and wrap cardboard by themselves, because there is already a video show, and children can talk about their opinions after the video, then a child can go on stage to explain their ideas) and discuss it, and they will know that the size of paper is the size of the side of the cylinder, which is a way to obtain the side area of the cylinder and then display it. We knew this operation was not feasible. What if it's not feasible? We need a universal, universal and feasible method to derive the formula of similar graphic area. I didn't talk about this design last class. After a pack of students' observations, I came to the conclusion that the length of a rectangle is the circumference of the bottom of a closed cylinder, and the width of a rectangle is the height of a closed cylinder. After the talk, I began to reflect, which is equivalent to shaping the students' thinking. Although the students are active, the formula has also come out. However, students have never experienced the process of how the surface of a cylindrical lateral area is transformed into a plane (that is, how to transform a cylindrical lateral area into a rectangular area). Don't underestimate a "straight curve" Students get different ideas from the "straight curve" Cultivating students' reverse thinking, just like the reverse application of algorithms and formulas, plays a very important role in improving the creativity and problem-solving ability of all-round talents. This lecture is to let students experience the process from curved surface to straight surface, and give it to students completely during the process of cutting from curved surface to straight surface. Here, I ask a few questions to help students explore: (1) How do you cut the side of a cylinder? What figure did it become after cutting? (2) What is the connection between the parts of the two graphs? (3) How to calculate the lateral area of a cylinder with a formula? However, the presentation of this part of the courseware is a step late, which shows that the overall thinking of the classroom is not very smooth, and there is a lack of presupposition for classroom practice, which leads to a long time. There is still suspicion of arrogance here. I always feel that I have prepared enough these days, but it's just an armchair strategist. Without actual combat, the effect of improvisation at my level is definitely not ideal.

4. Course summary

I set three small questions in this link:

(1) What did you learn today? The purpose of this question is to cultivate children's summing-up ability, and it is also a way of thinking to help children sort out what they have just learned.

(2) How did you get it? This problem is mainly a kind of self-affirmation for children to find a solution to the problem through hands-on operation and exploration, and cultivate their self-confidence.

(3) Are there any other gains? This answer can be spoken freely, not limited to the content of this lesson. It can be said: today I came to a place I have never been before; Studying in a brand-new and different classroom; Re-learning this lesson, let children learn to describe their own experiences and ideas, have a pair of eyes to find problems, and describe their own gains and ideas in their own language, which is the real gain! Because the previous exploration took too long, this link failed to achieve the expected results.

5. Small class standards and extracurricular problems

? This is the last link in the five links of "1352" teaching mode in normal mathematics classroom of our school. I made five small questions for schools that meet the standards, from easy to difficult, which not only ensured that students were confident to do it, but also did not become complacent. It is intended to test the learning effect. Learning mathematics is not a single calculation and reasoning, but also requires students to describe, write and write according to the actual situation, so as to lay the foundation for senior high school mathematics and lay the foundation for students' future development, because only by integrating disciplines can students be impartial and unable to find an exit when encountering problems.

? A beautifully designed class was discounted at my place! If there is a high teacher in this class, the effect will definitely double. Because of her own academic research and practical experience, her classes can be opened and observed one after another. This is the difference. In front of more than 200 teachers from different schools who came to study, Mr. Gao said, "After one year, I will give you a different Zhang XX!" " "In fact, Master led me to practice in my personal life. On June 5, 20 19, I officially stepped into the gate of Master Koryo's studio. For the remaining 3 19 days, I will bid farewell to idle thinking and meddling, learn more and think more, settle down to study and express my thoughts, watches and feelings in words.