Good teaching methods can make students understand the content easily. The following is my collection of math teachers' teaching reflections for reference only.

For students, an important purpose of learning mathematics is to learn to think with mathematics, see the world with mathematical eyes, and understand the world. For a math teacher, he should look at mathematics from the perspective of teaching and explore mathematics. He should not only know how to do and understand, but also teach others to do and understand. Therefore, teachers should reflect on teaching concepts from the aspects of logic, history and dialectics.

I. Teaching situation

1. From a logical point of view, the concept of function mainly includes three elements: definition domain, value domain and corresponding laws, as well as monotonicity, parity, periodicity and symmetry of function and some specific special functions, such as exponential function and logarithmic function, which are the basis of function teaching, but not the whole function.

2. From the relationship point of view, there are not only various substantive links between the main contents of the function, but also close links between the function and other middle school mathematics contents.

The root of the equation can be used as the abscissa of the intersection of the image of the function and the axis;

The solution of the inequality is the abscissa set corresponding to the image part of the function on the axis; A sequence is a function defined on a set of natural numbers;

The same geometric content is also closely related to functions.

When teaching students, teachers can't look at empty containers, and instill mathematics into these empty containers according to their own meaning, which often leads to misunderstandings, because teachers and students have great differences in mathematics knowledge, mathematics activity experience, hobbies, social life experience and so on, which makes them feel different about the same teaching activity.

In order to create more mathematics learning materials for after-class reflection, a more effective method is to squeeze out as many problems in students' minds as possible in the teaching process and expose their thinking process of solving problems.

Second, some enlightenment to mathematics teaching methods

I have been engaged in high school mathematics teaching for nearly 30 years. Under the background of the new curriculum, how to make effective use of classroom teaching time, how to improve students' interest in learning as much as possible, and how to improve students' learning efficiency in class for 40 minutes is also a very important topic for me. To do a good job in the new curriculum reform of high school mathematics, we must first grasp and understand the new curriculum standards and new textbooks as a whole, so as to systematize our knowledge.

Pay attention to the connection before and after knowledge and form a knowledge framework. Secondly, we should understand the current situation and cognitive structure of students and their knowledge level at this stage, so as to teach students in accordance with their aptitude. Thirdly, the relationship between teachers' teaching and students' learning should be handled well in classroom teaching. Classroom teaching is the main position to implement the new curriculum teaching in senior high school and the main channel to carry out ideological and moral education and quality education for students. Classroom teaching should not only strengthen double basics, but also improve intelligence and develop students' creativity.

Students should not only learn, but also learn, especially self-study, especially in class. It is necessary not only to develop students' intelligence factors, but also to improve students' learning efficiency in the classroom for 40 minutes, and to complete the teaching task well in a limited time, and not to wear new shoes and follow the old path.

1, with clear teaching objectives.

Teaching goals are divided into three major goals, namely, cognitive goals, emotional goals and motor skills goals. Therefore, when preparing lessons, we should choose teaching strategies, methods and media around these goals, and reorganize the content when necessary. When preparing lessons, you should follow the textbook, but you should not stick to the textbook and use it flexibly. In mathematics teaching, through the joint efforts of teachers and students, students can achieve the predetermined goals in knowledge, ability, skills, psychology, ideology and morality, so as to improve their comprehensive quality.

2. Be able to highlight key points and solve difficulties.

Each class should have a teaching focus, and the whole teaching is gradually carried out around the teaching focus. In order to make students clear about the key points and difficulties of this class, teachers can write these contents briefly on the corner of the blackboard at the beginning of the class to attract students' attention. The key content of the lecture is the climax of the whole class. Teachers should stimulate students' brains and make them excited by changing sounds, gestures, blackboard writing, application models, projectors and other visual teaching AIDS. They can also insert jokes related to this kind of knowledge appropriately, leave a deep impression on their brains, stimulate students' interest in learning and improve their ability to accept new knowledge. Especially when choosing examples, examples are best presented in a step-by-step manner. When preparing lessons, I usually finish the topic of a section or chapter first, and then choose related topics according to the knowledge content of this section. Usually, each class involves several types of questions.

3. Be good at using modern teaching methods.

Under the background of new curriculum standards and new textbooks, it is particularly important and urgent for teachers to master modern multimedia teaching methods. The remarkable characteristics of modern teaching methods are: firstly, it can effectively increase the class capacity of each class, so as to solve the original 40-minute content in 35 minutes; Secondly, it can reduce the workload of teachers writing on the blackboard, so that teachers can have the energy to explain the examples thoroughly and improve the efficiency of explanation; Third, it is intuitive and easy to stimulate students' interest in learning.

It is conducive to improving students' initiative in learning. Fourthly, it is conducive to reviewing and summarizing what the whole class has learned. At the end of classroom teaching, teachers guide students to summarize the content of this lesson, the key points and difficulties of learning, and at the same time synchronize the content to the screen through the projector, so that students can further understand and master the content of this lesson.

For the content with a large amount of expression, such as some geometric figures in solid geometry, some simple but large number of small questions and answers, and application questions with a large number of words, the summary of chapter content and the training of multiple-choice questions in the review class can be completed with the help of the projector. If possible, you can use self-made computer courseware to teach, and display the content vividly with the help of computer. For example, the graphs of sine curve and cosine curve, and the derivation process of pyramid volume formula can all be demonstrated by computer.

4, according to the specific content, choose the appropriate teaching method.

Each class has its own teaching tasks and goals. The so-called teaching method, but there is no fixed method, teachers should be able to use teaching methods flexibly with the changes of teaching content, teaching objects and teaching equipment. For new teaching, we often teach new knowledge to students by teaching method, while in solid geometry, we often insert demonstration method.

Show geometric models to students, or verify geometric conclusions. For example, before teaching solid geometry, students are required to make a geometric model of a cube with lead wire, and observe the relative positional relationship between the sides of the cube, the angle formed by each side and the diagonal of each side, so that when teaching the positional relationship between two straight lines in space, they can be explained intuitively through these geometric models. In addition, you can also use conversation and reading guidance flexibly in combination with classroom content.

In a class, sometimes a variety of teaching methods are used at the same time. Teaching without clear methods is very important. As long as it can stimulate students' interest in learning, improve students' enthusiasm for learning, help cultivate students' thinking ability and help students master and use what they have learned, it is a good teaching method.

5. Care about students and encourage them in time.

The purpose of the new high school curriculum is to pay attention to the development of students. Students' performance in the classroom should be summed up in time, encouraged appropriately, and accidents in the classroom should be handled well, and classroom teaching should be adjusted in time. In the process of teaching, teachers should always know the students' mastery of the content. For example, finish a concept and ask students to repeat it; After an example, erase the solution and let the middle-level students perform on stage. Sometimes, for students with poor foundation, we can ask them more questions and give them more exercise opportunities. At the same time, teachers should encourage them in time according to their performance, cultivate their self-confidence and let them love and learn mathematics.

6. Give full play to students' main role and arouse their learning enthusiasm.

Students are the main body of learning, and teachers should start teaching around students. In the teaching process, let students play a leading role from beginning to end, let students change passive learning into active learning, let students become the masters of learning and teachers become the leaders of learning.

In a class, the teacher talks as little as possible and asks the students to use their hands and brains more. When I graduated, every time I went to class, I saw that students often had to think for a long time to find an answer to a question. I was a little impatient and couldn't help telling them the way when they were about to make an answer. This will easily lead to students' dependence on teachers, which is not conducive to cultivating students' independent thinking ability and the formation of new methods. Students' thinking itself is a resource pool, and students often come up with unexpected good methods.

7. Pay attention to basic knowledge, skills and methods.

As we all know, in recent years, the novelty and flexibility of mathematics test questions are getting stronger and stronger. Many teachers and students focus on the more difficult comprehensive problems, thinking that only by solving difficult problems can they cultivate their abilities, thus relatively ignoring the teaching of basic knowledge, basic skills and basic methods. In teaching, they hurriedly take out formulas and theorems, or train students by telling an example and a large number of topics. In fact, the process of deducing theorems and formulas contains important problem-solving methods and laws.

Let the students do the questions and try to know some truth by asking them to do a lot of questions. As a result, most students can't understand the methods and laws, and they can only imitate mechanically when they understand the surface memory, and their thinking level is low, and sometimes they even copy mechanically, which complicates simple problems.

If the teacher is too careless in teaching or the students don't know much about the basic knowledge in their study, they will make mistakes in the exam. Many students say that there are too many questions now, and they often can't complete all the answers. The speed of solving problems mainly depends on the proficiency and ability of basic skills and methods. It can be seen that while paying attention to the implementation of basic knowledge, we should also pay attention to the cultivation of basic skills and methods.

8. Infiltrate teaching methods and cultivate comprehensive application ability.

Commonly used mathematical thinking methods include transformation, analogy induction and analogy association, classified discussion, combination of numbers and shapes, collocation, method of substitution, undetermined coefficient, reduction to absurdity and so on. These basic ideas and methods are scattered in the chapters of middle school mathematics textbooks. In normal teaching, teachers should consciously and properly explain and infiltrate basic mathematical ideas and methods while imparting basic knowledge, so as to help students master scientific methods, so as to achieve the purpose of imparting knowledge and cultivating ability. Only in this way can students use what they have learned flexibly and comprehensively.

In short, in the mathematics classroom teaching under the background of the new curriculum, in order to improve students' learning efficiency in the classroom for 40 minutes and improve teaching quality, we should think more and prepare more, fully prepare teaching materials, students and teaching methods, improve our teaching wit and give play to our leading role.

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