Reflection on the Teaching of Horse Racing in Tian Ji from a Wide Angle of Mathematics 1 A Wide Angle of Mathematics-Horse Racing in Tian Ji is the third example in Unit 8 of the first volume of the experimental textbook of compulsory education in primary schools published by People's Education Press, and "countermeasures" are the content of comprehensive practice and application of mathematics. This lesson starts with the stories that students are familiar with, and with the help of group cooperation, we find that mathematics knowledge is in life when we independently explore coping strategies. Stimulate learning enthusiasm and deepen the understanding of knowledge through games. Reflecting on this lesson, I think it is successful, which mainly has the following characteristics:
First of all, create a scene to find mathematical knowledge from the story.
In order to stimulate interest, students tell the story of "Tian Ji Horse Racing" and introduce the application of "Game Theory" before class. This kind of pre-class lead-in stimulates their interest in learning and makes students have a good and happy learning mood. Next, I make full use of multimedia-assisted teaching, and through the dynamic story situation, let students feel the countermeasures in Tian Ji horse racing, lead to the content of inquiry, and improve their interest in learning. I can't help but think about exploring the "best countermeasures", starting from the students' existing life experience, so that students feel cordial and easy to understand. At the same time, students can experience the application of game theory in practice in a relaxed atmosphere.
Second, independent inquiry, looking for mathematical thinking methods from mathematical knowledge.
The game itself is a very abstract concept. Only when students have experienced the process of knowledge formation can they build a new knowledge system. Therefore, when solving problems, students are given enough time and space to communicate and discuss, and teachers also participate in student group activities as participants. The initiative of positive thinking is also completely in the hands of students. Teachers can guide students to try to use the knowledge and methods they have learned to find strategies to solve problems from the perspective of mathematics, so that students can learn to find the optimal solution in various schemes, improve their ability to solve problems, and give full play to their intelligence. In the classroom, students experience and understand the whole mathematical thinking method in independent exploration and cooperative communication, and gradually form the sense of optimization.
Third, apply practice to realize the overall planning and optimization of mathematical thinking methods in life.
In class, I designed a poker game: a * * * card with 10 cards, and the player who gets the last card wins. Through this game, students can understand that we can use the knowledge and methods we have learned to find strategies to solve some problems in life from the perspective of mathematics. In the game, students learn to analyze problems and find the best solution among various schemes. The students experienced the mathematical thinking method of logistics in a pleasant atmosphere.
After the whole class, I feel that students have good learning effect and high enthusiasm. I deeply realize that teachers should let students find problems, discuss problems and solve problems by themselves, and they have great potential to tap.
Reflection on horse racing teaching in Tian Ji from a wide angle of mathematics II. The lesson "Horse Racing" uses a wide perspective of mathematics, is a "countermeasure problem" and is a systematic and abstract mathematical method in the field of comprehensive practice and application of mathematics. Primary school students' thinking is mainly concrete thinking, and they are not ready to learn this knowledge comprehensively. So when I first chose this course as an open class of the Spring Rain Cup Speech Contest, the teachers in the same group said that this course was difficult for students to learn. Therefore, in teaching design, I pay special attention to how to make it easy and choose a teaching method that makes students interested and easy to understand.
I have highlighted several characteristics in the teaching design of this class:
First, boldly abandon teaching materials and choose poker games that students like. This will not only improve students' interest in learning, but also make it easier for students to understand the "best strategy" in digital form. Take the story of Tian Ji horse racing in the textbook as an attempt. In this way, we can realize the transition and extension from numbers to words, and penetrate the "optimal strategy" more deeply.
Second, pay attention to guiding students to learn deeply and infiltrate optimization ideas. Let students go through the process of finding out various possibilities and choosing the best strategy from them. Feel the optimization thought in mathematics.
Thirdly, it embodies the teaching idea that mathematics comes from life and serves life. For example, countermeasures are also used in sports competitions and military command. Let students try to use the knowledge and methods they have learned from the perspective of mathematics to find strategies to solve problems. Improve students' ability to solve problems.
Deficiencies in teaching:
First, the teacher didn't really "give full play to the students' dominant position" and talked too much. In the future, we should strive to make every student truly become a successful participant in exploring problems.
Second, their own language organization ability is poor. It needs to be constantly improved in the future teaching work.
Third, when trying to practice the story of horse racing, we should find the best strategy directly according to the methods obtained in the game, and don't let students explore all the schemes. It would be better to ask the following questions here: What would happen if Tian Ji played one more start? Guide students to think of other solutions, because it is difficult for students to explore all the solutions at once. I hope it can be improved in the future teaching.
Reflections on Mathematics Wide Angle Tian Ji Horse Racing Teaching 3 "Mathematics Wide Angle-Tian Ji Horse Racing" takes the story of "Tian Ji Horse Racing" as the main line, so that students can explore what strategies Tian Ji used to win the King of Qi. As soon as the teacher gave a topic, the students stood up and raised their hands to explain the story of "Tian Ji Horse Racing". After the story was finished, they enthusiastically discussed all possible countermeasures in the secret, and listed them one by one, and finally determined the countermeasures that the secret could win. When students learn this part of the content, they not only know what they have learned, but also know why they have learned it. Students are also very smart and lovely. Here, teachers don't have to worry about what students can't learn, which is in great contrast with students' enthusiasm and learning effect when learning normal mathematics content, which has to cause each of our math teachers to reflect.
A reflection: improve teaching methods and pay attention to learning methods.
In order to achieve the same teaching effect as "mathematics wide angle" in future teaching, mathematics teachers should first strengthen the study of new curriculum standards, update educational concepts in teaching, and strengthen the research of pedagogy and children's psychology. Teachers should communicate with students more, listen to students' suggestions in teaching methods, reflect on teaching every day and be students' bosom friends. In the teaching process, teachers should take students as the main body everywhere, the language should be vivid and humorous, adapt to the age characteristics of students, respect students everywhere, and do not hurt students' self-esteem, so as to create a relaxed and happy learning atmosphere for students in each class. Teachers should always be the organizers of teaching, the guides of learning and the participants of research, and teach students in accordance with their aptitude in all aspects of the teaching process. In terms of students' learning methods, teachers should guide students to learn to explore, cooperate and think, and combine knowledge learning with problem discussion, so that students can truly become the masters of learning.
Reflection 2: Stimulate students' interest in learning in mathematics teaching.
In teaching practice, I deeply realize that the best motivation for students to learn is to be interested in the materials they have learned, and strong curiosity is the motivation for students to have a strong thirst for knowledge. Once students are interested in what they have learned, their thinking will be in the best state of being active, happy and innovative, and there will be unexpected learning effects. In the "wide angle of mathematics" mentioned above, why do students have extraordinary learning effects when studying? The answer is that students are interested in the problem of "mathematical wide angle" design. In order to make students achieve the same effect in future teaching, teachers must strive to mobilize students' enthusiasm and initiative in learning.
Reflection 3: Flexible use of teaching materials in teaching.
When organizing teaching, teachers should fully understand the teaching materials, grasp the teaching materials flexibly, dig the teaching materials skillfully, make effective use of the teaching materials, and carefully process the boring teaching materials into the contents that students like. The content of "Mathematics Wide Angle" design is not only liked by students, but also a matter for students. In order to achieve the teaching effect of "wide angle of mathematics" in future teaching, knowledge should be structured. When designing teaching content, teachers can adjust the structure of knowledge and put together the content with similar knowledge or easily confused by students. For example, Unit 1 "Four Arithmetic" and Unit 3 "Arithmetic and Simple Calculation" in Volume 8, and the meaning of positive and negative proportions in Volume 12, a comparative study of positive and negative proportion application problems can stimulate students' enthusiasm for learning, encourage students to actively explore, constantly reflect and constantly create, and form a complete knowledge structure. Secondly, when designing lesson plans, teachers should make the knowledge content problematic, and when designing the learning content of each lesson, let students study with questions, so that students not only clarify their learning objectives, but also stimulate their desire for knowledge, and students will try their best to solve the problems. Thirdly, when organizing teaching, teachers should let knowledge return to students' life world and realize the experience of learning content. When designing teaching plans, teachers should try their best to dig out problems similar to "wide angle of mathematics", be close to the materials of students' society and real life, realize the transformation of teaching materials from material texts to life texts, and pay attention to experience. For example, when students study cuboids and cubes, teachers can ask students to measure the length, width and height of bricks and refrigerators to calculate the surface area, volume and volume. At the same time, teachers can also ask students to make a budget for their own home floor, painting walls and simple decoration. Let students not only master what they have learned, but also experience the application value of mathematics.
In short, through the "wide-angle mathematics" teaching, I realized that in every link of mathematics teaching, we should do everything possible to encourage students to study independently, explore hard, innovate constantly, want to learn, learn and enjoy learning, mobilize students' learning enthusiasm to the maximum extent, and put the new curriculum standards throughout the teaching.
Reflections on horse racing teaching in Tianji from a broad mathematical perspective; The textbook of this course introduces the application of "game theory" from the horse racing story in Tianji. Game theory studies what countermeasures competitors take to defeat their opponents. The story of "Tian Ji Horse Racing" may be understood by a few students, but not necessarily from the mathematical point of view. Here, students can experience the application of game theory in practice through stories and activities. It is difficult for fourth-grade students to learn advanced mathematical knowledge and methods such as optimization methods and game theory. In order to make students understand what they have learned and learn with interest, we should not only grasp the depth scale and improve teaching methods, but also make full use of teaching resources as far as possible to enrich and enrich classroom teaching content, so as to help students better understand these ideas and methods and understand the practical application of these mathematical methods.
Based on the above analysis and the actual situation of students, I changed the teaching design of books, and got a preliminary understanding of the application of game theory in solving practical problems through simple poker examples. In the activity, let students realize the diversity of problem-solving strategies, form the consciousness of finding the best solution to the problem, then ask them to solve the problem of horse racing in Tian Ji, and cultivate their thinking quality of careful analysis and careful thinking. Let students feel the extensive application of mathematics in daily life, try to solve simple problems in real life with mathematical methods, and initially cultivate students' application consciousness and ability to solve practical problems.
Students gain new knowledge and experience, whether cognitive or emotional, through independent inquiry learning, and then make their efforts clear by exchanging feelings and experiences, views and opinions in evaluation activities. This is the most relaxing, exciting and happy time for the students in this class. In this way, on the one hand, students know themselves, on the other hand, they also learn to evaluate their own learning.
I think the disadvantages are as follows:
The students didn't cooperate well and didn't grasp enough time. For example, when the teacher-student ratio is large, the second time students always refuse to play cards, wasting time and making the whole design not completed as scheduled. If the game is not over.
It also omits asking students to cite examples from life. This is also where I have doubts. Tian Ji's strategy is good, but in real life, there are almost no opponents who don't change horses like Wang Qi, especially in sports competitions now. There are examples in business, but I think it's too far away from students. In addition, I think it is not good enough to mobilize the classroom atmosphere.