A probe into the efficient classroom of senior high school mathematics.
First, teachers need to solve problems for accuracy.
Should we make great efforts in the process of strengthening oral English? Four essence? The content is concise, the language is concise, the method is exquisite, and the breakthrough is accurate. Content simplification is the key. Teachers should correctly understand the intention of teaching materials, accurately grasp the main line of knowledge, and appropriately adjust and streamline the teaching content according to the learning situation. Teachers' teaching language should be easy to understand and inspiring; Vivid and interesting; The rhythm is lively and infectious; Clear and logical. In general, the concentrated teaching time of a class should not exceed 15 minutes. If you spend too much time, it will inevitably affect students' autonomy and consolidate their exercises. Resolutely do not talk about the problems that students can solve by themselves, and let students speak instead of teachers; For the problems that need the teacher's guidance to break through, only give guidance, and leave the rest to the students to think and discuss, and then talk to them after the students break through; For the problems that students can't break through, teachers should prepare lessons carefully, so as to explain clearly and finally break through the difficulties; Such a teacher is the wisdom teacher we advocate.
Second, the basic strategy of intensive reading
1. Study the teaching materials and clarify the contents.
The syllabus and teaching materials of Jiangsu Education Edition are the main basis of teaching. Teachers need to accurately understand the arrangement of teaching materials and grasp the backbone of knowledge if they want to make clear the content of intensive reading course. Under the guidance of the overall structure of teaching materials, combined with the actual situation of our school, and taking into account the development trend of cultural knowledge and the latest achievements of science and technology, they should make corresponding non-overlapping revisions to the teaching content. Only in this way can we ensure that students are taught scientific and advanced content; Secondly, it is necessary to find the breakthrough point of education by excavating the knowledge connotation and the characteristics of mathematics in the teaching materials, so that the intensive content can be integrated with the students' learning objectives and training objectives.
2. Carefully choose teaching methods and carefully design ideas.
The teacher prepares lessons? Prepare teaching materials, prepare students, and prepare yourself, carefully choose teaching methods, choose appropriate teaching methods, and let? Talk? Can give full play to the role. The design of refined thinking should conform to students' psychological characteristics and people's cognitive laws, and need to learn from students' knowledge. The nearest development zone? Starting, we should not only effectively integrate the key points and difficulties of the teaching content, but also grasp the students' main body, so that the logical structure of students' psychological system and knowledge system does not conflict and reflect the internal logic of mathematics classroom teaching, which is efficient.
3. Handle important issues carefully.
Careful processing refers to the need to supplement details, materials, examples, reasoning and in-depth research in order to maintain a long-term and true understanding of knowledge. The so-called in-depth discussion is actually a crackdown. It is better not to talk about it in general. The important contents generally include teaching emphases, teaching difficulties and knowledge connection points. The key point refers to the backbone knowledge of each chapter in senior high school mathematics textbooks. In the intensive reading class, we should pay attention to the positioning in the knowledge network, deeply analyze the knowledge itself from many aspects and angles, and explore and study related similar problems. For example, every theorem in mathematics should not only clarify its content, but also explore its origin, prove its formation process, and clarify its application in mathematics, its development in social production and life and its influence on the knowledge system of this chapter. The difficulty is usually abstract and complicated content that students can't understand. For the difficulties, we should take appropriate division, break the whole into parts, pave the way, reduce the slope, turn them into multiple small problems, and then decompose them one by one, from shallow to deep, from simple to complex, and pay attention to the connection with the knowledge that students have mastered, so that students can absorb and digest them imperceptibly. Knowledge coincidence point is the combination point of old and new knowledge transformation or the place where knowledge is easily confused, and it is the key point for students to understand and master different knowledge. In the intensive reading class, we should carefully understand the logical relationship between the old and new mathematical knowledge, carefully compare and analyze it, reveal the essence of the problem and its internal relationship through expanding training, pay attention to excavating the inherent regularity of knowledge, help students understand the new knowledge points and consolidate the old knowledge points.
4. The art of using classroom language.
? Have a good talk? The classroom language is required to be accurate and standardized, and the mathematical language is skillfully used to summarize the knowledge learned. At the same time, classroom language should not be boring, boring and enlightening. Language expression should be clear, not too boring, and have a certain artistic appeal. Some people say that the teacher is an actor and the three-foot platform is our stage. We should use Mandarin accurately, be passionate, cadence, exert the charm of language, stimulate students' emotions, and make them finish math class after math class with great interest. 5. Adopt modern educational technology. Modern educational technology can be the integration of words, images, sounds and videos, with huge information, powerful interactive function and strong visual expression. It can express static knowledge in a dynamic form, vividly present abstract knowledge and help students understand complex knowledge. The application of multimedia technology in teaching can stimulate students' interest in learning and desire for knowledge, make students actively participate in learning, stimulate students' internal motivation to learn, moderately increase teaching content, help us sort out knowledge points, break through knowledge difficulties, further optimize classroom teaching structure, and thus improve the efficiency of intensive reading teaching. Therefore, the implementation of modern educational technology? Have a good talk? Scientific application of advanced educational technology can make teaching more effective.
Third, several problems that need to be emphasized in intensive reading class
1. Teachers must think clearly about the questions to ask when preparing lessons. Why do you ask them? How to ask is better? Prepare each question carefully, make it meaningful and have a gradient. It is better to give students a step. It is better to give consideration to interests, so that students can be interested in mathematics in classroom teaching, think positively and stimulate their learning potential.
2. Teachers should be good at discovering and showing students' mistakes in class, encouraging students to argue and guiding students to question. Teachers should be able to listen to students' different opinions as well as students' different opinions, shouldn't they? Is it just me? Don't cut across the board, listen to us, and teach students according to their aptitude. Sometimes students' questions, questions and methods may be better and more valuable. The so-called teaching is developed in this atmosphere and environment.
3. Teachers should strengthen classroom management in the classroom. What is classroom management? What behaviors and strategies do teachers use to solve the problem of classroom order? Teachers should guide students to take the initiative to attend classes, arrange and set questions skillfully, and awaken students' awareness of autonomous learning. Teachers should not only impart textbook knowledge, but also perform their educational duties. Teachers should communicate with students on an equal footing. Teachers need to understand students' knowledge needs and emotional sustenance and help them solve various ideological problems.
4. Teachers should focus on the key points, mistakes and doubts of mathematical knowledge. In order to improve the efficiency of classroom teaching, teachers should try their best to let students know what they have learned and the actual situation in the classroom. Teachers who can speak for themselves don't talk; See the students' teachers don't talk after the discussion; Don't talk about things that have nothing to do with teaching content and teaching objectives, try to do less useless work and improve classroom teaching efficiency.
Fourth, summary.
In short, our teaching center should focus on the key and difficult points of high school mathematics knowledge. Practice has proved that on the basis of students' active participation in learning, clear key points and thorough explanation of difficult points can achieve satisfactory teaching results. If high school mathematics classroom can do intensive teaching, it will certainly achieve the purpose of improving teaching efficiency and lay the foundation for efficient classroom.
Author: Xia Jun Unit: Dagang Middle School, Jiangsu Province
Research on Efficient Classroom of Mathematics in Senior High School (1)
First, the connotation of high school mathematics efficient classroom
The construction of efficient classroom in high school mathematics teaching means that teachers use efficient teaching strategies, teaching methods and means to guide students to discover, explore and solve problems independently, so as to achieve classroom teaching objectives and cultivate students' mathematics literacy with efficient classroom teaching. In the process of high school mathematics efficient classroom teaching, we should create a democratic, harmonious and relaxed teaching atmosphere, cultivate students' correct attitude towards mathematics learning and form efficient mathematics learning habits. In mathematics teaching, teachers should be good at discovering different students' own characteristics and learning situation, adopt flexible teaching methods, promote the effective improvement of teaching efficiency with the innovation of efficient teaching methods, and promote the improvement of senior high school students' mathematics ability with the realization of efficient classroom teaching of mathematics in senior high schools.
Second, the principles of high school mathematics efficient classroom construction
1. Short-term efficiency is the basic principle of efficient classroom construction.
In the implementation of mathematics classroom teaching in senior high school, the teaching time of a math class is very limited, so is the teaching time that teachers can use in a class, and the learning time of students in a class is not much. In such a short period of classroom teaching implementation, if we want to achieve the goal of classroom teaching to the maximum extent, we must use efficient teaching methods and teaching means to achieve the efficiency of classroom teaching. From this perspective, short-term efficiency is a basic principle of high school mathematics efficient classroom construction.
2. Give full play to the leading role of teachers in teaching.
Although the new curriculum teaching concept pays more attention to students' subjectivity in teaching implementation, in order to realize efficient classroom teaching in senior high school mathematics teaching, we must pay full attention to teachers' leading position in teaching. Give full play to the leading role of teachers in classroom teaching. Only by improving teachers' teaching ability and teaching level in high school mathematics teaching can we fundamentally ensure the construction of high school mathematics efficient classroom. Therefore, in high school mathematics teaching, teachers should give full play to their leading role in classroom teaching.
Third, high school mathematics efficient classroom construction approach
1. Stimulate students' interest in learning
High school is an important period for the cultivation of mathematical literacy. Although quality education has been advocated for many years, under the guidance of the baton of exam-oriented education, some high school mathematics classroom teaching still retains a lot of exam-oriented teaching characteristics. Teachers are the absolute authority in the implementation of mathematics teaching in senior high schools. In the development of classroom teaching activities, teachers' mechanical narration is still the main teaching method, and the contents taught are also those closely combined with exams. The teaching method is indoctrination. Students lack autonomy in such mathematics teaching, and their enthusiasm and initiative in learning are seriously inhibited. Students' interest in learning is not high, and they lack the enthusiasm and initiative of active learning. This kind of classroom teaching greatly hinders the realization of efficient classroom. Therefore, in order to realize efficient classroom in high school mathematics teaching, we must attach great importance to cultivating students' interest in learning mathematics. There are many ways to cultivate students' interest in learning. For example, teachers can use competitions to stimulate students' interest in mathematics learning, contact students' life practice, or set suspense, and so on. The application of these teaching methods plays a very important role in improving teaching efficiency. Taking suspense setting as an example, according to teaching objectives, teaching practice and students' needs, appropriately setting suspense in senior high school mathematics teaching can effectively promote the efficiency of senior high school mathematics teaching. Like teaching? Representation of function? This part of the teacher gave an example: in a city bus company? Stop? In bus operation, it is stipulated that the bus fare is two yuan within five kilometers (including five kilometers), and the fare increase is one yuan every five kilometers after five kilometers (less than five kilometers are counted as five kilometers). If the total mileage of a route is 20 kilometers, please write the analytic function of fare and distance according to the meaning of the question, and draw the function image on this basis. This suspense design can greatly stimulate students to explore? Functional characterization? Interest, in the process of exploring suspense issues, the efficiency of classroom teaching has been significantly improved.
2. In teaching, we should attach importance to basic knowledge, skills and methods.
In recent years, the content of the examination has changed and become more and more flexible. The new changes in exams have made some teachers pay more attention to some relatively difficult comprehensive problems in senior high school mathematics teaching. This teaching tendency is bound to cause teachers to ignore the basic knowledge, skills and methods of mathematics, which is extremely unfavorable to the realization of efficient classroom. Therefore, in high school mathematics teaching, we must attach great importance to basic knowledge, skills and methods. For example, in order to increase the number of exercises done by students in teaching, teachers often explain some basic theorems and laws hastily, thinking that this will enable students to do more exercises. I hope that through a large number of exercises, students can experience more problem-solving ideas and find more problem-solving laws in the process of solving problems, thus promoting the improvement of students' mathematical ability. It should be said that such a wish is good, but the effect is often counterproductive. Students lack a deep understanding of some basic theorems and formulas, and it will be difficult to control the use of formulas and theorems in the process of solving problems, which will directly affect the efficiency of doing problems and bring great difficulties to subsequent teaching. In fact, in the process of teaching theorems and formulas, there are many methods and ideas to solve problems. Teachers ignore these basic knowledge and methods in teaching, which directly affects the formation of students' basic skills and is not conducive to the improvement of classroom efficiency. Therefore, it is very necessary to attach importance to basic knowledge, skills and methods in senior high school mathematics teaching.
Fourth, summary.
Carrying out efficient classroom construction in senior high school mathematics teaching plays an important role in promoting the improvement of senior high school students' mathematics ability. However, there are still many problems in the construction of high school mathematics efficient classroom at this stage. Therefore, it is of great practical significance to carry out the research on the construction of high school mathematics efficient classroom in this paper.
Author: Liao Zansheng Unit: Yongchun Overseas Chinese Middle School, Fujian Province
A Preliminary Study on Efficient Classroom Strategies of Mathematics in Senior High School (Ⅱ)
First, change the teaching concept.
Under the new situation, teachers should give full play to their subjective initiative in the specific teaching process. The teacher urged the students to move forward? The basic idea of the new curriculum standard in senior high school is that mathematics teaching in senior high school must be efficient. Teachers should fully believe in students' potential, let students explore and learn independently under the guidance of teachers, encourage students to discover, analyze and solve problems independently, and give standardized and scientific guidance to those problems that cannot be solved by cooperation. Teaching? For students? Study? Service, all around students' learning and all student-oriented, can improve the efficiency of classroom teaching.
Second, optimize teaching methods
Under the background of new curriculum, high school mathematics classroom teaching requires a fundamental change in the role of teachers. Teachers should use teaching methods flexibly with the changes of teaching content and teaching equipment, and don't cover everything in teaching, and don't directly show their conclusions or reasoning to students. Students should think independently about the changes of learning objects, and through the joint efforts of teachers and students, students can achieve the predetermined goals in knowledge, skills, psychology, ideology and morality, and improve their comprehensive quality.
1. Create a reasonable situation to stimulate interest in learning.
Aristotle said: thinking begins with being surprised at the problem. This famous saying shows the importance of cultivating thinking ability. Therefore, teachers should carefully create teaching-related problem situations that make students feel real, novel, interesting and questionable, such as creating problem situations and correcting mistakes, so as to arouse students' enthusiasm for thinking.
2. Advocate independent inquiry and cooperative discussion.
Mathematician Hua said: The best way to learn mathematics is to look for information in the mathematician's wastebasket, not just the conclusions in the textbook. Therefore, the task of mathematics teachers is to return to the basics, hand over problems to students, let students participate in the exploration and solution of problems, and let them operate, think, study and discuss freely. In the process of independent inquiry, students' creative thinking is cultivated, students become the masters of learning, and teachers become the leaders of learning.
3. Discrimination and discussion of problems
The problem is the core of mathematics, and the analysis and discussion of the problem is the key link related to the success or failure of the classroom. Asking questions to guide students' learning should be a basic principle in mathematics teaching. The nearest development zone? Ask appropriate questions, guide students to analyze and discuss different opinions and schemes, and then the whole class exchanges and discusses with each other. At the same time, teachers will encourage students in time according to their performance to enhance their self-confidence.
4. Problem induction, expansion and improvement
As we all know, in recent years, the novelty and flexibility of mathematics test questions are getting stronger and stronger. Based on this, teachers should first pay attention to the implementation of students' basic knowledge and the cultivation of basic methods and skills. For example, teachers should fully demonstrate the thinking process of deducing theorems and formulas in the process of explanation and explore their internal laws; Secondly, we should carefully select cases, not unilaterally pursue the number of cases, but pay attention to the quality of cases. In addition, the teacher should set aside ten minutes in class for students to do exercises or think about the questions raised by the teacher, and the teacher should answer the students' questions. In the whole teaching process, the key is to let students actively participate, rather than the teacher contracting students alone? Full house irrigation? Strengthen the effect of classroom teaching.
Third, innovative teaching methods
With the rapid development of science and technology, classroom teaching should be changed from traditional? A mouth, a piece of chalk, a book? The development and application of modern information technology, such as the use of multimedia teaching platform and the application of network technology, have greatly improved the effect of classroom teaching: first, it can effectively increase the capacity of each class; Second, it is intuitive and easy to stimulate students' interest in learning, which is conducive to improving students' initiative in learning; Third, reduce the workload of teachers writing on the blackboard and improve the efficiency of explanation; Fourth, it is helpful to review and summarize what the whole class has learned.
Fourth, summary.
In short, in the new curriculum reform of senior high school, in order to give full play to the potential of each student and ultimately improve the overall quality of education and teaching in the school, teachers should create an atmosphere with high participation, strong activity and full play to students' subjective learning, which is also the fundamental meaning of building a harmonious and happy campus.
Author: Ma Ruining Unit: No.2 Middle School of Huining County, Gansu Province