Li Zhiping asked students to sing nursery rhymes, give them timely comments, and start learning with laughter. "Success belongs to you with a good brain", which shortens the distance of students, permeates humanistic care, cultivates students' mathematical feelings, and grasps the basic implementation in combination with the study plan.

Is there any other way for Mr. Anping Ma to ask questions from special to general? Students are very thoughtful. Why? Anything else? Let's talk about it The students didn't speak clearly. In fact, the seeds of students' thoughts are breaking through the ground. Teacher Ma's appreciation and evaluation gave students the confidence to bloom their thoughts. In this situation, students are not only connected with the reality of life, but also full of fiery thinking, which not only independently learns mathematics knowledge, but also improves mathematics literacy.

Teachers' explanations in class are often based on their own experience and have a strong mindset. There is no such constraint in students' minds: teacher, I don't do this, teacher, I have different methods. When the teacher's design is faced with unprecedented challenges, he waved his hand and said: We will study the method you said after class, or we will explain it in detail later because of the time, and carry out our teaching plan to the end, or let the students express their suggestions generously. This is probably a question that every teacher should seriously consider.

Learn from the teacher, from concrete to abstract, from special to general, and guide at different levels; From numbers to letters, highlight the cultivation of students' ability. Ask the students to think more. What do you think, how to calculate? Anything else? Let the students say it and express it. Teachers should have a childlike innocence, a little childlike interest, and grow up with students, so that they will be young and relaxed, and the knowledge of students will flow naturally in their minds. I think that's what I think, that's the best of me!

Teacher Hu Shuiqing pays attention to detail teaching, marks analysis with arrows, and attracts students' attention with different words. Teachers' understanding is the premise of students' understanding. Only teachers' correct understanding can arouse students' understanding. When preparing lessons, think more about the students, know more about their learning situation and their thinking characteristics, and guide them to study effectively.

Create mathematical scenarios and apply extensions. 1. Learn textbooks and fully tap the educational value of role models. 2. Study the value of exercise teaching in textbooks and carry out variant training. 3. Pay attention to the cultivation of students' ability to obtain information, build learning models, and cultivate the ability to solve problems and the habit of examining questions. 4. Teach three points to implement seven points, talk less and implement more. Teaching is a science and an art, and vivid teaching language, ingenious teaching design and orderly teaching structure are full of artistic wisdom of teaching. This skill of seeing through the essence at a glance can not be practiced overnight, and teachers need to strengthen research study and do more papers for the senior high school entrance examination. Studying test sites is an excellent way to experience. Students' feelings, as the yardstick of classroom progress, feel those inspiring evaluation languages, and with an expectant smile, let students unconsciously lift their feet and have a hard experience; Let students think, summarize, guess and demonstrate in the exchange and exploration, train students' thinking quality and stimulate their interest in learning. Students are active in thinking, as if mathematics angels are dancing.

Do a good job in hierarchical teaching and do the following two things:

(A basic student level, encourage more, pay attention to the foundation, attach importance to emotional communication between teachers and students, and establish students' self-confidence, self-esteem and interest in learning. In order to meet the challenges of teaching at this level, we strive to:

1. Be more natural, patient and kind to students in teaching. Have a strong affinity and appeal to students.

2. The explanation and consolidation of knowledge should be done in small steps and small density, step by step. Always consider the endurance of students.

3. Homework and exercises are less difficult, so don't dampen students' enthusiasm, and never be stingy with encouraging comments and warm words, which is much more meaningful than picking out error-prone problems for students.

4. Use the sword of criticism with caution, praise loudly and criticize quietly.

5. Do a good job in students' ideological work, so that students can feel that the teacher cares about him, is happy for your happiness, and suffers for your pain. Enhance students' trust in teachers and promote the harmonious relationship between teachers and students.

(B) the cultivation of top students, top students in students, but also in the cultivation of teachers.

Without teachers' targeted and scientific training, students' potential cannot be fully tapped, let alone the cultivation of top students. Seek depth, broaden the scope, emphasize innovation, provide students with good learning materials and related information, create a research-oriented learning atmosphere, attach importance to cultivating students' autonomous learning ability and good thinking mode, guide students to independently discover problems and solve problems among classmates, and maximize students' potential.

Teacher preparation requirements:

1. All right. Because such students are active in thinking, they often question what the teacher is saying in class. Teachers attach importance to basic knowledge, but also have foresight about possible problems and set appropriate high-level questions. Teachers should advocate homework in water.

2. Teaching methods should be flexible. If such students get good grades, they will be harsh on the classroom and teachers. Therefore, we should adopt a flexible and challenging way to let students participate in explaining and giving questions as primary teachers.

3. The assignments are unconventional, lively and challenging, and develop students' inquiry learning ability.

Thinking:

1. In the past, psychological counseling was often about topics. The extension of the previous counseling content makes each question independent, difficult to classify, form a law, and will not propose methods.

2. In the past, teachers talked more, students talked less and participated in communication less. I always think that so many good students can digest as much as they say.

3. In the past, the extension of knowledge was not enough, which made it difficult for students to learn knowledge in an all-round way and gain a comprehensive understanding.

4. To really let students acquire knowledge is to let students really understand knowledge.

Second, the new role of the new curriculum reform

With the new curriculum reform, the role of teachers has changed a lot. It is mainly reflected in the change from focusing on results to focusing on processes in the presentation of knowledge. The so-called focus on results means that teachers only attach importance to knowledge and despise teaching methods and ignore the ins and outs of knowledge in teaching. Intentionally or unintentionally compress students' thinking process of new knowledge. That is, teachers focus on the learning process in teaching, reveal the law of knowledge formation, and let students explore, perceive and summarize. Use thinking to discover the truth and master the law.

isosceles triangle

Tutorial: We have studied angles, line segments and axisymmetric figures before. Is only a special triangle an axisymmetric figure? Can you find the symmetry axis? What other features does it have? Let's explore:

1. This is an axisymmetric figure.

2. the crease AD is the axis of symmetry.

3. What are the characteristics of 3.crease AD?

① bisect the vertex angle

② The vertical bottom line is combined with three lines (three line segments: the bisector of the top angle, the middle line of the bottom line and the high line of the bottom line overlap).

③ bisect the bottom edge

4. Who is the axis of symmetry?

(1) vertex bisector.

② The straight line where the center line of the bottom edge is located ("straight line" should be added when the symmetry axis is straight line and the line segments overlap).

③ The straight line where the baseline is located.

5. The symmetry axis is 1 or 3.

Learning is the process of students' independent inquiry, from external change to internal change. Teachers' ideas and behaviors directly affect students' learning effect. It is necessary to inspire students to actively explore, practice, teach students learning methods and cultivate their ability to process information. Gradually realize the improvement of teaching content and teaching methods. Overcome cramming and questioning, and leave the initiative to students.

Give yourself more time to think, more space to think, more opportunities to show, and more joy to succeed.

According to the constructivist learning theory, learning is a process in which students construct new knowledge on the basis of their original cognitive experience. This process is actually the reorganization and optimization of knowledge structure, which requires the effective combination and exchange of students' original knowledge and new knowledge. In other words, teaching and learning in the true sense refers to students' understanding of the nature of teaching objects. Only when students have a deep understanding of the learning content can they really master the thinking method, improve the teaching level and make discoveries and creations. In other words, students' deep understanding of teaching is the internal motivation of mathematics learning.

Therefore, a wise teacher can make a wise student.

Third, the new curriculum reform-make your teaching different.

"Successful teaching depends on a sincere and respectful teacher-student relationship and a harmonious and safe classroom atmosphere." Excellent results come from successful teaching, from the handling of teaching materials and the arrangement of students. To this end, you should make your teaching different:

(A) in the treatment of teaching materials are unique.

Teaching is not to teach textbooks, but to teach with textbooks. Therefore, the creation of teaching situation must be based on a thorough understanding of teaching materials. Only by thoroughly understanding the textbook can we surpass the textbook and create a high-level problem scenario, so that students can deepen their understanding. Textbooks are knowledge blocks, and we can't see the process of thinking. Teachers' re-creation of textbooks makes the knowledge of textbooks "live", makes knowledge close to life and students, and makes students really like mathematics and teachers. Is it displayed by courseware? Is it fun to play games? Is it lyrical with poetry? Is it a hands-on operation? Is it proof of reasoning? Is it cooperative exploration? Is flying a good idea? All these should consider the students' feelings, the needs of knowledge presentation, the teaching materials are alive, and the handling of teaching materials should be more lively. For example, "Why are there not enough people?" This is a qualitative leap for students from positive numbers to negative numbers, and the topic itself attracts people to explore. In order to narrow the problem and make it come alive, I didn't choose courseware, but made 8 smiling faces, 9 crying faces and 3 confident faces out of cardboard. Before class, I put my face on the blackboard like a textbook.

In the tutorial, students look at today's questions, which are very fresh. It is made up of faces. This is a smiling face, indicating the joy of answering a question correctly. Plus 10 points! This is a sad face indicating the trouble of answering a wrong question, MINUS 10; This is a confident face, although I didn't score, but believe in myself, I can do it!

Then let three students make these three faces respectively.

I hope that after everyone's efforts in this class, I will get a bright smile!

There are many ways to guide the classroom with questions. The key is to grasp students' psychology, stimulate their feelings and stimulate their interest in learning.

(B) There are unique ways to optimize teaching methods.

Teaching focuses on cultivating students' innovative spirit and practical ability. Teachers should rearrange, design and process the teaching materials thoroughly, so that knowledge can reflect personality and penetrate emotion, combine several different teaching methods organically, and create and apply them, so that students can learn to discover in exploration, appreciate in communication and taste success in application. Teachers should be good organizers, guides and agitators in the teaching process, and have feelings. Learning is happy, and mathematics is beautiful. I add a preface to the test paper, emotional communication, encouragement between teachers and students; Correcting homework, encouraging language, full of expectation: fortunately, some students really wrote some of my words on the blackboard as famous sayings and wrote them in their diaries. The teacher used to teach Chinese, right? Teachers teach happiness!

(C) unique teaching style

Teaching is an art, and teaching style is the creation of teaching art. You should follow the teaching rules, learn from others, combine your own characteristics, break through innovation, and show your personality and teaching charm. Your eyes are full of expectation and sunshine. Your mouth is beating with happy notes and smells like a red apple; What is waiting in your mind is the display of wisdom, just like the warmth of spring breeze, which makes you new every day, keep your interest and move forward forever.