Reflections on Mathematics Teaching 1
First, good self-study potential is the strong backing of efficient classroom.
For primary school students, the most important thing is to learn how to learn, how to think, how to discover and how to create, and to master a set of adaptive learning methods, so that when learning any kind of knowledge at any time, "teachers are everywhere." Therefore, teachers must renew their ideas, study the wisdom of mathematics, analyze the methods of mathematics, and strive to make students learn, think, discover, apply and create mathematical knowledge.
In teaching, on the basis of mastering knowledge, cultivate and develop students' thinking potential. For example, students can be required to preview before class-record what they don't understand and listen to these questions in class. For previewing the materials that you have already understood, you can compare the gap between your own understanding and the teacher's explanation to see if the angles of the questions are the same. If so, which is better; Review after class-students can close their books, "read" the classroom materials in their minds with their own ideas, and then sum up several "rules" by themselves. At the same time, strengthen the analysis and scrutiny of book examples, because although the number of examples spoken by teachers in class is small, they are all representative. Study the principle reflected by each example, analyze and dissect the key points of each example, and think about the angle from which this kind of example can be asked, what is the result of slightly changing the known conditions and solving the goal, what is the basis of each step in solving the problem, what existing knowledge is used, and what methods can be used to solve this kind of problem.
The key of mathematics teaching is not to change mathematics knowledge itself, but to change students' learning concepts, teach them learning methods, and form a good habit of consciously learning and consciously studying mathematics, so that students can benefit for life. We should constantly incorporate the methodology of learning mathematics into students' cognitive structure, so that students can understand the truth of "teaching people to fish".
Second, develop good habits to protect the efficient classroom.
As the saying goes, "habit becomes nature". Primary school is in the critical period of habit cultivation, so it is necessary to combine the cultivation of self-motivation to let students form good study and life habits. Once good habits are formed, students' self-motivation will be "oriented". Students' self-motivation is one of the important conditions for teachers to successfully organize teaching, so there will inevitably be repetition in the process of training. Be good at grasping repeatedly, grasping repeatedly. So, how can we keep students from making progress?
Secondly, develop good habits and cultivate students' sense of responsibility. The cultivation of sense of responsibility must begin with the cultivation of good study habits. In teaching, we should guide students to devote themselves wholeheartedly with an extremely serious attitude, such as listening carefully, thinking attentively, answering questions enthusiastically, carefully examining questions, completing homework on time, carefully checking "step by step" and writing after careful calculation, so as to gradually make students develop conscious, active and serious study habits. These are the basic guarantees for an efficient classroom.
Only when efficient classroom teaching is truly realized, the curriculum reform of basic education will not be empty talk, will it be implemented, will it benefit students, and will achieve a win-win situation for teachers and students. Students will be willing to learn mathematics, be willing to learn, learn independently and creatively, and become innovative talents.
Reflections on Mathematics Teaching II
Mathematics is a science that studies the spatial form and quantitative relationship of the real world. Mathematics learning is a vast world for middle school students to improve their learning ability and creativity. The guidance of mathematics learning methods is a method that educators teach, summarize and diagnose learners' learning methods through certain educational channels, so that learners can master scientific learning methods and use them flexibly in their studies, and gradually form strong autonomous learning ability.
For a long time, teachers have been required to master the syllabus and more textbooks, so teachers study more textbooks and teaching methods, while studying students' thinking activities is less, so they choose fewer teaching methods suitable for students' cognitive process. Students' acquisition of knowledge generally goes through the process of active inquiry, group cooperation and active construction. Under the background of the new curriculum, how to make students feel the desire to learn mathematics, regard learning mathematics as a pleasure, and truly become the master of junior high school mathematics. Then guide students to master various learning methods in a planned, step-by-step and hierarchical way. So that our students can learn actively and independently and adapt to the requirements of the new curriculum. The guidance of specific mathematics learning methods is a long-term and arduous task, and mastering the guidance of learning methods plays a vital role in future learning. Mainly from the following aspects.
First, guide students to preview, read textbooks carefully, and cultivate students' self-study ability.
Students are often not good at preview and don't know what role preview plays. Preview is just a form, and you can't see the problems and doubts at a glance. When guiding students to preview, students are required to accept new knowledge and cultivate their mathematical ability mainly in the classroom, so we should pay special attention to the learning efficiency in the classroom and seek correct learning methods.
In the teaching process, teachers should guide students to learn reading methods, so as to achieve eye-to-eye, mouth-to-mouth, and mind the opponent. To learn a new chapter, first read it roughly, that is, browse the branches of what you have learned in this chapter, then tick while reading, get a general understanding of the key points and difficulties of the textbook content, and mark the places you don't understand. Then read it carefully, that is, read it roughly according to the learning requirements of each chapter after the holiday. First browse the relevant contents of the textbook and get a general idea of this section of knowledge. Second, read carefully and repeatedly, experience and think about important concepts, formulas, laws and theorems, pay attention to the formation process of knowledge, mark difficult concepts, and attend classes with questions. In terms of methods, classroom preview or unit preview can be used. Before previewing, the teacher arranges the preview outline first, so that students can have a clear aim. Practice has proved that developing good preview habits can make students change passive learning into active learning, and at the same time, it can gradually cultivate students' autonomous learning ability.
Second, strengthen mutual learning and make progress.
In teaching, teachers should not only cultivate the self-confidence of poor students, but also make full use of the educational resources of excellent students to pair good students with poor students, which is also a way of cooperative learning. Starting from the people-oriented concept, teachers pay attention to the development of poor students and build a good and harmonious learning environment of unity, cooperation and development. At the same time, it also makes up for the shortage of teachers' tutoring time after class.
Third, pay attention to listening in class and cultivate students' thinking ability.
Freshmen in grade one often can't adapt to the increase of courses and classroom learning, so they can't see anything, lose their energy and reduce the efficiency of attending classes. Therefore, it is the key to improve learning efficiency to attach importance to listening teaching and let them learn to listen.
In class, you should keep up with the teacher's ideas, actively explore thinking, predict the next steps, and compare your own problem-solving ideas with what the teacher said. In particular, we should do a good job in learning basic knowledge and skills, and review them in time after class, leaving no doubt. First of all, we should recall the knowledge points the teacher said before doing various exercises, and correctly master the reasoning process of various formulas. If we are not clear, we should try our best to recall them instead of turning to the book immediately. In a sense, you should finish your homework carefully and independently, and be diligent in thinking, which should lead to a learning style of asking questions if you don't understand. For some problems, it is difficult to solve for a while because of their unclear thinking. Let yourself calm down and seriously analyze the problems and find ways to solve them yourself. At every learning stage, we should sort out and summarize, and combine the points, lines and surfaces of knowledge into a knowledge network and bring it into our own knowledge system. Listening to the teacher's lecture should be focused and distinct, pay attention to preventing "injection" and "full house irrigation", and must grasp the best teaching time so that students can listen effectively. In this way, letting students grasp the important and difficult points and listen to lectures along the process of knowledge development can not only improve the efficiency of listening to lectures, but also make students change from "listening" to "listening".
Fourth, guide students to think.
Mathematics learning is a process in which learners form a new mathematical cognitive structure on the basis of the original mathematical cognitive structure and through the connection between old and new knowledge. Because this kind of work must be done by each learner relatively independently in the end. Therefore, in the teaching process, teachers should guide students to think about the law, and teachers should focus on the following points: make students reach the realm of mastery. In the guidance of thinking methods, students should pay attention to: think more, think diligently, and think with listening; Deep thinking, that is, tracing back to the source and being good at asking questions boldly; Good thinking, through listening and observing to associate, guess and summarize;
Fifth, do more problems properly and develop good problem-solving habits.
If you want to learn mathematics well, it is inevitable to do many problems, but you can't do poorly in the tactics of asking questions. You should be familiar with the problem-solving ideas of various questions. Students are often eager to finish their written homework after class, while ignoring the necessary consolidation, memory and review. Therefore, the phenomenon of imitating routine problems and solving problems with formulas appeared, which caused homework to be handed in for the sake of handing in homework, which could not play its due role in consolidating and deepening the understanding of knowledge.
In homework writing, we should also pay attention to the guidance of "writing" and ask students to write in a standardized and clear format. For some error-prone topics, you can prepare a set of wrong questions, write your own problem-solving ideas and correct problem-solving processes, and compare them to find out your own mistakes so as to correct them in time. We should develop good problem-solving habits at ordinary times. Let your energy be highly concentrated, make your brain excited, think quickly, enter the best state, and use it freely in the exam. Practice has proved that at the critical moment, your problem-solving habit is no different from your usual practice. If you are careless and careless when solving problems, it is often exposed in the big exam, so it is very important to develop good problem-solving habits at ordinary times.
Sixth, guide students to remember.
It is very beneficial for students to teach them how to overcome forgetting and memorize mathematical knowledge in a scientific way. Because junior high school freshmen are in the primary logical thinking stage, they have more mechanical memory components and less understanding memory components when memorizing knowledge, which can not meet the new requirements of junior high school students. Therefore, it is an inevitable requirement for junior high school mathematics teaching to attach importance to the guidance of students' memory methods.
In teaching, we should first pay attention to the reform of teaching methods, abandon full-time irrigation and avoid students' "indigestion". Secondly, we should be good at teaching students corresponding methods in combination with mathematical practice. In short, the guidance of junior high school students' mathematics learning methods must be synchronized, coordinated and sustained with the teaching reform. Efforts should be made to combine changing ideas with teaching methods, in-class and out-of-class, learning methods and teaching methods, teachers' guidance with students' exploration, unified guidance with individual guidance, and establish a criss-crossing learning method guidance network to promote students to master the correct learning method. At the same time, we should integrate theory with practice, teach students in accordance with their aptitude, and fully mobilize students' learning enthusiasm.
The above is just my personal experience in the process of mathematics teaching, and I would like to share it with you.
Reflections on Mathematics Teaching III
There is a girl in our class who is very cute and lively at ordinary times. She can concentrate on listening to the teacher and understand the new knowledge she has learned in this class, but she always looks around when practicing. Every time she does a problem in math class, she can't finish it in class. She can finish five questions at most. So I criticize her every time I do the problem, and slowly I find that she no longer looks around when she does the problem, but just looks in a daze. At this time, I began to wake up to myself. In a math class, I said to her before doing the problem, "You are a lovely child and a smart child. The teacher believes that you will be able to complete the task of this class. " Although she only finished half of the questions after class, I praised her instead of criticizing her. So I began to educate her by combining encouragement and praise. Slowly, she got rid of the bad habit of being absent-minded and finished the task of class.
I learned to treat students with more praise, more encouragement and more smiles. "If a child lives with criticism, he learns to condemn; If a child lives with encouragement, he learns to be confident; If a child lives in recognition, he learns to love himself. " As an educator, we must establish a correct outlook on success and success, and firmly believe that everyone will succeed in a certain aspect. "Caring will change students' behavior; On the other hand, even an inappropriate criticism may seriously hurt children's self-esteem.
Reflections on Mathematics Teaching 4
"New Curriculum Standard" points out that "mathematics classroom teaching should closely connect with students' real life, create vivid and funny situations from students' life experience and existing knowledge, and guide students to carry out activities such as observation, operation, guessing, reasoning and communication, so that students can master basic mathematics knowledge and skills through mathematics activities, initially learn to observe things and think about problems from the perspective of mathematics, and stimulate students' interest in learning mathematics ..." However, in the real classroom, Some teachers ask students to rely on simple memorization, imitation and training, which is only beneficial to students' examination, but not helpful to the development of students' logical thinking potential, decisive reasoning potential and generalization potential, let alone the cultivation of innovative thinking. Based on my teaching practice and the harvest after attending classes, I would like to talk about some thoughts on efficient classroom teaching:
First, pay attention to the learning environment and let students participate in mathematics.
Efficient classroom teaching must emphasize students' learning in activities, and develop their application consciousness and reasoning potential through their active participation. The new mathematics curriculum standard abolishes the subject-centered theory, establishes that mathematics education should face all students, and embodies the foundation, popularization and development of mathematics teaching. Attach importance to the connection between mathematics and students' life, nature and society; It embodies the process characteristics of mathematics learning activities; Respect students' individual differences and advocate autonomous learning and inquiry learning.
Second, pay attention to the problem situation and let students get close to mathematics.
1. Create a life situation: Mathematics comes from life and makes students feel that mathematics is around. Therefore, starting from students' existing life experience, we should create situations in life and strengthen perceptual knowledge, so as to achieve students' understanding of mathematics. For example, when teaching mathematics wide angle, I designed life problems that students are familiar with, and introduced topics with small stones, which are small toys that students usually like to play with. I made them think that their little game could be related to math.
2. Creating story situations: Students like listening to stories very much, from which they can get more mathematical enlightenment. For example, when teaching the Basic Nature of Fractions, I designed a story about a teacher who saw a monkey while traveling and made up a story about a little monkey giving his mother a piece of cake to eat. The story brings us a question, and then leads to the topic with the question. Students' interest doubled. Actively participate in classroom learning.
3. Creating challenging situations: According to the teaching materials, creating novel and mysterious situations can effectively stimulate interest, guide doubts, question and dispel doubts, and cultivate students' innovative consciousness.
4. Create a game situation: students' concentration time is short, their stability is poor, and their potential for distraction is poor. Teachers can create game situations so that students can learn unconsciously in game activities, thus prolonging the time of intentional attention and enhancing the learning effect.
5. Create a discovery situation: to cultivate students' innovative consciousness, it is not for all students to invent and create, but more importantly, for students to think independently and discover. This discovery itself is creation. For example, when teaching, I use the text "Crows Drink Water" that students have learned, and give students an experiment with a bottle according to the story of the text, so that students can discover the law through the phenomena they see.
6. Create practical situations: create practical situations in a timely and appropriate manner to cultivate students' innovative consciousness and practical potential.
A lively, interesting, challenging and practical problem situation can subtly trigger students' cognitive conflicts and make students full of strong thirst for knowledge.
Third, restart the operation and let students experience mathematics.
Thinking often begins with human actions. If the connection between activity and thinking is cut off, thinking cannot develop. And hands-on practice is the easiest way to stimulate students' thinking and imagination. In teaching activities, teachers should attach great importance to students' direct experience, let students discover, understand and master new knowledge in a series of personal experiences, and let students do middle school mathematics like learning to swim, thus developing students' thinking potential.
Fourth, pay attention to life application and let students practice mathematics.
Mathematics comes from and serves life, and there is mathematics everywhere in life. In teaching, teachers should often let students use what they have learned to solve practical problems in life, so that students can grasp what they have learned in time in the process of practicing mathematics and realize the value of mathematics learning, thus enhancing their confidence in learning mathematics well, learning to look at things around them with mathematical eyes, thinking about things around them and expanding the field of mathematics learning. In a word, we should study "efficient classroom teaching" in a down-to-earth manner, under the guidance of new curriculum standards, proceed from the reality of students and the goal of quality education, so that our classroom teaching can be established on a more effective basis.
Reflections on Mathematics Teaching 5
Mathematics curriculum standards require students to learn valuable knowledge and practical knowledge, so as to promote students' development and improve the effectiveness of classroom teaching. Efficient classroom can be summarized as effective, efficient and effective. Implementing efficient classroom is to give students a stage of self, give teachers a new expectation and give the school a more perfect future. There are several thoughts on autonomous mathematics teaching:
First, efficient classroom comes from colorful situation creation.
1, situation creation should have a clear purpose.
Every class has necessary teaching tasks. In teaching, guide students to use mathematical language and extract mathematical problems from situations in time. If it is a problem situation, the teacher's questions should be specific, clear, innovative and enlightening, and you can't ask questions like "What did you find" in general.
2. The teaching situation should have the necessary flavor of the times.
In today's information society, students can get a lot of information through various channels, and the situation created by teachers should also have a sense of the times.
Second, students' autonomous learning is very important.
In order to improve our classroom efficiency, students' active study, preview and guidance plan have played a very obvious role through their self-study class time and other time. Our math class is to help students preview the new lesson, solve most of the simple problems in the new lesson, advance their previous tasks in class to the front of class, and let students take classes with problems through the improvement of basic knowledge, the study of typical examples and the training of synchronous exercises in class. After such a long time, we feel that the efficiency is still good.
Third, efficient classroom comes from problem setting close to students' lives.
Starting from the familiar life scene and fairy tale world, this paper tries to select mathematics problems that students are interested in, stimulate their interest and motivation in learning, and let them feel the close relationship between mathematics and daily life. In mathematics teaching, teachers should seize the opportunity to create learning scenarios that are closely related to students' living environment and knowledge background, so that students can appreciate the fun of mathematics, generate the need for learning, stimulate the intention to explore new knowledge, and actively and effectively participate in learning.
Fourth, classroom display, showing confidence and charm.
The core of classroom teaching is to mobilize all students to actively participate in the whole learning process, so that students can learn independently and develop harmoniously. Teachers should play the role of organizer, guide and leader, give play to students' subjectivity and initiative, and let students carry out inquiry learning. Let students think independently, show their personality and let every student develop. Make mathematics classroom teaching real and efficient.
1. Pre-class presentation We should arrange for a classmate to make a passionate presentation according to the needs of this class before class. If you need to stimulate interest, you can arrange for students to introduce historical figures and stories. If students have the potential to break through difficulties, they can be arranged to review the required knowledge in gradient.
2. Students' passionate discussion in class: let students know their learning objectives, preview the text with questions and cultivate their self-study potential. Students' autonomous learning before class is an important part of "learning plan teaching", and the quality of problem design is also directly related to the completion of teaching objectives. In class, students' intense discussion on problems can make their knowledge more organized, systematic and complete, and students can help each other and enhance their feelings. At the same time, students can find confidence in talking about topics.
3. Classroom display, so that students can show their writing ability and generalization potential in a limited blackboard space.
4, passionate comments, it is best to take off the manuscript, this link can make students have a deeper impression on the knowledge points corresponding to the topic, in the process of speaking, it should be clear and clear, so as to summarize the methods of the topic and summarize the knowledge points. Trained students' language expression potential and summarized this potential. Enhance students' self-confidence and courage, and make students interested in learning.
5. Efficient classroom comes from constant teaching reflection.
Teaching has no definite method, and teaching is a regrettable art. A class will not be perfect. Every class should be deeply analyzed and reflected, and the coincidence between presupposition and reality, students' learning situation, teachers' regulation, classroom generation and other aspects should be carefully summarized, so as to find out the regular things and learn through constant "reflection". To improve the quality of classroom teaching, the teaching effect must be better.
In a word, although I have always been skeptical about college classes, I am also afraid of students. Although they are very serious in class discussions, I don't know whether they can really integrate into the new class and whether they have really discussed the problems in the tutoring plan. But after practice, I am very relieved that the overall level of students has not declined, but has improved slightly. In addition, there will inevitably be some problems in the reform, such as there are still many puzzles in the preparation of the counseling plan; There are still many defects and deficiencies in some problem-solving classes, consolidation exercises and regression review classes. Some students' willingness to learn has not been improved; How to make those students who love learning love learning more, help those students who don't care, and so on. But I believe that since I have made a good start, I will continue to work hard. As long as I work hard, I will gain something.
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