Teaching reflection refers to teachers' re-understanding and rethinking of education and teaching practice, so as to sum up experiences and lessons and further improve the level of education and teaching. The following is my reflection on the teaching of senior two math teachers, I hope you like it!
As a high school math teacher, we need to process the teaching materials and reflect on the teaching process and results. Because mathematics education not only pays attention to students' learning results, but also pays attention to how the results occur and develop. I think it can be seen from two aspects: first, from the perspective of teaching objectives, each class has a most important, key and core goal. Many teaching contents of high school mathematics are suitable for research-based learning; Secondly, from the perspective of learning, the form of teaching organization is an important issue of teaching design. If we can fully tap the background knowledge that supports this core goal, use these background knowledge to form penetrating and inspiring learning materials that point to the core of this lesson, and extract the research theme of this lesson, we will achieve the ideal effect. This also requires self-improvement of business ability and level. The following are some thoughts on the teaching of this course. ?
First, the reflection on the teaching of knowledge points-thinking about learning mathematics
For students, an important purpose of learning mathematics is to learn mathematical thinking and see the world from a mathematical perspective. For a teacher, we should also look at mathematics from the perspective of "teaching". He should not only know how to do it, but also teach others how to do it. So I think we should reflect on logic, history and relationship. The content of this lesson is relatively simple, and the goal is relatively clear, that is, to find the area of the curved trapezoid with the idea of "directly substituting the curve and infinitely approaching". However, this way of thinking has brought great difficulty to students, because to truly understand this method, we must have a clear understanding of the idea of limit. However, the new curriculum seems to avoid increasing the burden on students, and does not require an in-depth introduction to the concept of limit. Its purpose is to enable students to acquire the most valuable mathematical knowledge in the most acceptable way. The same is true of this class. Based on the above reasons, I think there are two difficulties in preparing lessons for this class: first, how to let students get the idea of "infinite division, replacing music with straightness"; The second is the understanding of "limit" and "infinite approximation", that is, understanding why approximation is only the accurate value of area.
Second, the reflection of learning mathematics
For every student in the math class, their minds are not a blank sheet of paper-they have their own understanding and feelings about mathematics. We should not regard them as "empty containers" and "instill mathematics" into these "empty containers" according to our own meaning. This often leads to misunderstanding. There are great differences between teachers and students in mathematics knowledge, mathematics activity experience, hobbies and social life experience, which makes them feel different about the same teaching activity. How to teach students, that is, to teach students in accordance with their aptitude. But in actual teaching, every student is measured by the same standard, which requires every student to master knowledge. This may be the confusion and obstacle of my own teaching. Let the students think more. If they don't achieve the preset goal in this class, they are still suspected of "full house irrigation".
The second sequence is an important part of high school mathematics. It not only has a wide range of practical applications, but also has the function of connecting the past with the future. As a special function, sequence is inseparable from function thought and is the continuation of function thought. Sequences in middle school textbooks are both independent and comprehensive. It can be combined with functions, equations, inequalities, analytic geometry and other knowledge, and it is a good material for training reasoning ability and logical thinking ability ... One of the characteristics of mathematical knowledge is abstraction, so I should pay attention to concretizing abstraction in teaching. There are two main aspects of the exam:
The first is the basic concept of sequence.
The second is the sequential operation. Pay attention to the following aspects when reviewing.
First, attach importance to the relationship between function and sequence, and attach importance to the application of function thought.
Strengthen the research and mastery of the general term formula and the sum formula of the first n terms of the series. The general term formula of a sequence and the summation formula of the first n terms can be regarded as a function of the number n of terms. Therefore, we should pay attention to the application of function thought in sequence.
Second, master and flexibly use the nature of arithmetic progression and geometric progression and the conclusions drawn therefrom.
To grasp the foundation, we should firmly grasp the basic knowledge and methods of the sequence content, the concept and classification of the sequence, the relationship between the first n terms and general terms and the solution method, the definition of arithmetic and geometric series, the general term formula, the first n terms and formulas, the middle term, the nature and its comprehensive application, and know the intersection of arithmetic and geometric series with other knowledge like the palm of our hand, so as to solve the problem.
Third, pay attention to methods and skills, and extend and broaden them appropriately.
It is necessary to master the basic methods to solve various basic problems, improve the ability to solve basic problems, and make the solution of basic problems foolproof.
Fourth, strengthen convergence and improve quality.
This series has strong permeability. It is interrelated with functions, equations, trigonometric functions, inequalities and other knowledge, and the combination is optimized, which invisibly increases the comprehensive strength. To solve this kind of problem, we must understand the mathematical thought hidden in the concept and method of sequence and deeply understand its important role in solving problems. Commonly used mathematical ideas are; Function and equation, combination of numbers and shapes, classification discussion, equivalent transformation, etc. Carry out effective training in learning in order to accumulate and make breakthroughs. When doing problems, we should design some novel questions, especially through exploratory questions, to tap students' potential and cultivate their innovative consciousness and spirit. The problem of comprehensive ability of sequence involves novel background and flexible solution. When solving this kind of problems, we should teach students to think scientifically and rationally and use mathematical thinking methods comprehensively and flexibly.
Senior two math teachers have been engaged in high school math teaching for nearly a year. 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 for 45 minutes in class is a very important topic for me, who has just come into contact with senior high school teaching. To teach senior high school mathematics well, we must first grasp and understand the teaching materials as a whole, systematize knowledge, pay attention to the relationship before and after knowledge, and form a knowledge framework; Secondly, it is necessary to 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 it is also 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, develop students' intelligence and creativity; Not only students should learn, but also students should learn, especially self-study. Especially in the classroom, we should not only develop students' intelligence factors, but also improve students' learning efficiency in the classroom for 45 minutes, so as to complete the teaching tasks well in a limited time.
First of all, there must be clear teaching objectives.
Teaching objectives are divided into three areas, namely, cognitive area, emotional area and motor skill area. Therefore, when preparing lessons, we should choose teaching strategies and methods 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.
Second, we should be able to highlight key points and solve difficulties.
Every 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.
Third, according to the specific content, choose the appropriate teaching methods.
Each class has its own teaching tasks and goals. As the saying goes, "there are laws in teaching, but there is no fixed law". Teachers should be able to use teaching methods flexibly with the changes of teaching content and teaching objects. There are many methods of mathematics teaching. For the new teaching, we often teach new knowledge to students by lecture, and we can also flexibly adopt various teaching methods such as lecture, reading guidance, homework and practice in combination with the classroom content. In a class, sometimes multiple teaching methods are used at the same time. "There is no fixed method in teaching, what is important is proper method". As long as it can stimulate students' interest in learning and improve their enthusiasm for learning, it will help to cultivate students' thinking ability and help them master and use what they have learned. This is a good teaching method.
Fourth, care about students and encourage them in time.
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 teaching process, teachers should keep abreast of 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.
Five, pay attention to basic knowledge, basic skills and basic methods.
As we all know, in recent years, the novelty and flexibility of mathematics test questions are getting stronger and stronger. We can't think that only by solving difficult problems can we cultivate our ability, thus relatively ignoring the teaching of basic knowledge, basic skills and basic methods. Come up with formulas and theorems in a hurry in teaching, or train students through a large number of topics by telling an example in a hurry. In fact, the process of deducing theorems and formulas contains important problem-solving methods and laws. Teachers did not fully expose the thinking process and explore its inherent laws, so they asked students to do problems and tried to "realize" some truths by asking students to do a lot of problems. As a result, most students can't "understand" methods and laws, and their understanding is superficial, their memory is weak, they can only imitate mechanically, their thinking level is low, and sometimes they even copy mechanically; Draw a gourd ladle and complicate simple problems. If the teacher is too careless in teaching or the students don't know much about the basic knowledge in learning, they will make mistakes in the examination. Many students said that there are too many test questions now, and they often can't solve all the test papers, and 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.
6. 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, method of substitution, undetermined coefficient method, 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. It's the only way. Students can use what they have learned flexibly and comprehensively.
What depresses me most is that no matter what method I use, the results of the liberal arts class are still as poor as ever, and I remember it clearly. Although I can recite the whole concept and theorem, I don't understand it deeply. Although the process of solving problems is correct, I will not be flexible, especially when I encounter new problems that I have never seen before, and I often don't know the direction and can't start. The breadth, flexibility and creativity of their thinking are often insufficient, especially in mathematics, which requires higher logical thinking. It was not until the final exam that I realized that in order to change this situation, we must carefully design the thinking situation according to the characteristics of female students, ignite their mathematical imagination, stimulate their interest in learning mathematics, and inspire their courage to learn mathematics. I hope this method can improve their math scores in future teaching!
In short, in mathematics classroom teaching, if we want to improve students' learning efficiency and teaching quality within 45 minutes, we should think more, prepare more, make full use of teaching materials, prepare students, prepare teaching methods, improve our teaching wit and give play to our leading role.
Reflections on the teaching of mathematics teachers in senior two 4. Time flies, time flies. In a blink of an eye, the second semester of senior two has already passed. In order to do a good job in teaching in the future and further improve the professional level, the recent teaching work is summarized as follows:
First of all, prepare lessons carefully
As a teacher, if you want to have a good class, you must first prepare lessons, which is the premise of a good new class. Preparing lessons includes not only preparing teaching content, but also preparing students, and preparing teaching content according to the actual situation of students. To this end, we must read all kinds of teaching reference books and counseling materials to draw nutrition from them, so as to prepare each new lesson more perfectly and lay a solid foundation for a good lesson.
Second, attend classes in advance.
As a young teacher, in order to teach every class well, I try to listen to other teachers' opinions in the math group of Senior Two, learn from each other's strengths and form my own unique teaching style. I insist on attending classes every semester and have learned a lot from teachers with teaching experience, which greatly shortens the adaptation period and makes me full of confidence in teaching.
Third, summarize in time.
It is very important to consolidate the summary in teaching, otherwise it will have no practical effect if you forget the front after learning. Try to set aside two or three minutes before each class to review the content of the last class and emphasize the key points and difficulties again. After the end of a unit, summarizing the unit and leading students to sort out the knowledge structure and key issues of a lesson can help students review in time and consolidate what they have learned.
Fourth, diligence and conciseness
If you only learn knowledge and don't apply it, you can only talk on paper. It is not advisable to just do the questions blindly. Therefore, teachers should pay attention to the guidance of problem-solving angles, methods and skills in class. At the same time, let students be concise after class, find problems in time from students' homework, check for missing parts and strengthen weak links. The above is my teaching experience in the second semester of my sophomore year. I will work harder and do better in teaching in the future.
As a front-line subject teacher, I have benefited a lot from learning the concept of curriculum reform and carrying out curriculum reform experiments in the classroom. Mathematics teaching can be said to have gains and losses. Let me reflect on the teaching of senior two from two aspects: gain and loss:
First of all, there must be clear teaching objectives.
Teaching objectives are divided into three areas, namely, cognitive area, emotional area and motor skill area. 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.
Second, we should 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 simply write these contents on the corner of the blackboard at the beginning of the class to attract students' attention. The key content of teaching is the teaching climax of the whole class. Teachers should stimulate students' brains by changing sounds, gestures, writing on the blackboard, application models, projectors and other visual teaching AIDS, so as to make students happy, and can appropriately insert jokes related to this kind of knowledge.
Third, according to the detailed content, choose the appropriate teaching methods.
Each class has its own teaching tasks and goals. As the saying goes, "there are laws in teaching, but there is no fixed law". Teachers should be able to use teaching methods flexibly with the changes of teaching content and teaching objects. There are many methods of mathematics teaching. For the new teaching, we often teach new knowledge to students by lecture, and we can also flexibly adopt various teaching methods such as lecture, reading guidance, homework and practice in combination with the classroom content.
Fourth, 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 teaching process, teachers should keep abreast of students' mastery of the content. 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.
Five, pay attention to basic knowledge, basic skills and basic 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 difficulties can they cultivate their abilities, thus relatively ignoring the teaching of basic knowledge, basic skills and basic methods. Take out formulas and theorems in a hurry in teaching, or tell an example in a hurry, so that students can practice through a large number of topics. If teachers are too careless in teaching, or students don't know much about the basic knowledge in their studies, they will make mistakes in the exam.
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 45 minutes and improve teaching quality, we should think more and prepare more, make full use of teaching materials, prepare students, prepare teaching methods, improve our teaching wit and give play to our leading role.