(A) the teaching model is old and single, with heavy burden and low efficiency.

Teachers are "buckets" and students are "water bowls". Classroom teaching is a process of "irrigation". The prevalence of "procrastination", "sea tactics" and "pressure method" leads to teachers' fatigue, students' hardship, parents' difficulty, high teaching cost and low efficiency, and classroom teaching falls into a strange circle of "high consumption and low efficiency".

(B) teachers as the center, ignoring the main role of students.

Traditional teaching pays attention to "five centers", that is, teaching activities are centered on teachers, teaching process is centered on lectures, teachers teach textbooks, students study problems, and teaching value is centered on exams. Students have not really become the main body of classroom teaching, and the classroom has become a place for teachers to perform "teaching plan dramas", and students are only the supporting roles of teachers. Teachers are used to "authoritarian" teaching, and students are used to "passive" learning; Teachers only care about "what to teach" and don't study "how to teach"; Students only know "what to learn" and don't master "how to learn", so their learning efficiency is poor.

(3) Pay attention to imparting knowledge and ignore the guidance of methods and students' experience.

Classroom teaching emphasizes acceptance, light exploration, lectures, light hands-on, light memory, light application, light results, light process, light cognition, light emotion and values, and emphasizes the mastery of knowledge and the inheritance of experience, while ignoring the comprehensive cultivation of intellectual and non-intellectual factors necessary for students' lifelong development, which leads students to show that they can't think, question and innovate.

(D) lively and inefficient teaching activities.

The goal of classroom teaching is not really located in the development of students, and there is a lack of training in the breadth, depth, strength and effectiveness of students' thinking. Instead, it blindly pursues the superficial form of classroom teaching, forming a situation in which the research on classroom teaching is vigorous on the surface and the effect of classroom teaching is empty in essence.

(E) Based on this, ignoring the understanding and analysis of students and teaching content.

Students are not regarded as energetic and colorful individuals, and their differences are not regarded as a teaching resource. In addition, children in rural primary schools are influenced by family background and living environment, and their knowledge base, learning ability, individual differences and average thinking level are even worse than those in urban primary schools. Therefore, using the same content to teach students with differences can be imagined.

Second, improve the effectiveness of mathematics classroom teaching strategies

(A), understanding students, so that teaching is a prerequisite for efficient classroom.

1, understand students' personality. Most students are happy to be praised by their teachers in their studies. Therefore, regular small-scale competitions can stimulate their interest in learning, enhance their sense of competition, and let students advance together in the competition. In teaching, all kinds of competitive means are adopted to stimulate students' interest in learning and enthusiasm for active participation, so that all students can make progress together.

2. Understand students' original cognitive basis. When anyone is learning new knowledge, the old knowledge must always be involved. Learning new knowledge with existing knowledge not only improves the content of classroom teaching, but also eliminates the invalid space in the classroom and reduces students' learning obstacles. Teachers should ask questions from reality as far as possible, so that students can understand that mathematical knowledge comes from life and is applied to real life, so as to realize the role of mathematical knowledge in real life; At the same time, teachers should also provide students with more opportunities to extract mathematical problems from concrete examples in daily life and use the learned mathematical knowledge to solve many practical problems in real life.

(2) Cultivating good listening habits is the first condition for an efficient classroom.

To build an efficient classroom, we must first turn a "lively speaking classroom" into a "listening classroom". Only in the "listening class" can all kinds of thoughts and emotions communicate with each other through words, otherwise communication is impossible. Listening to students' speeches is like playing baseball and pitching with students. Accurately catch the ball thrown by the students. Even if the student who threw the ball didn't say anything to you, he was in a happy mood. As a teacher, you should be good at catching every ball thrown by students, especially the ball that students throw badly or miss, which is also the best performance of teachers' own professional quality and ability to control the classroom.

(3) Adequate preparation before class is a necessary condition for an efficient class.

According to the physical and mental characteristics of students of different ages, the new curriculum standard has made scientific and specific provisions on the teaching objectives of different classes. First of all, the orientation of teaching objectives should be moderate and difficult. Just like playing basketball, the basket is too high, and students can't throw it in no matter how hard they try, so they naturally lose confidence; Moreover, if the basket is too low, students will easily fall into it, and of course there will be no joy in overcoming difficulties. Secondly, teachers should fully consider the unity of three-dimensional goals when formulating teaching goals. The formulation of teaching objectives should also consider students at three levels: good, medium and poor. According to the principle of teaching students in accordance with their aptitude, the formulation of teaching objectives should also vary from person to person, and students at different levels require different goals, so it is necessary to avoid generalizing.

(D) Optimizing the classroom teaching process is the key to efficient classroom.

Mathematics curriculum standard points out: "Effective mathematics learning activities can't rely solely on imitation and memory. Hands-on practice, independent exploration and cooperative communication are important ways for students to learn mathematics." And efficient mathematics learning activities should be a higher level pursuit on the basis of effective mathematics learning activities.

1, import before class, and show the target. Fascinating introduction can awaken students' thirst for knowledge and stimulate their interest in learning. Therefore, as soon as the teacher enters the classroom, either let the students listen to the recording or music related to the text, or tell a short story related to the text, or start a wonderful dialogue related to the text, or import it with video clips. So as to stimulate students' interest and motivation in learning and improve classroom efficiency.

2. Develop an outline to guide self-study. Write a small blackboard before class, so that students can see it in class and make clear the requirements of self-study, that is, what to learn, how long it will take, how to take the exam, etc. And guide students to learn independently, such as reading, whether to read independently around thinking about problems and finding answers, or to discuss and solve difficult problems while reading. As for the proposal of learning objectives and self-study requirements, the best way for junior students is to stimulate competition, because competition can stimulate children's thirst for knowledge and stimulate students' enthusiasm for learning.

3. Group discussion and cooperative exploration. Cooperation is more important than knowledge. It is becoming an important quality of contemporary people and is favored by everyone. Group cooperative learning in class is conducive to emotional communication and information exchange between teachers and students, and encourages students to observe and think from different angles, thus developing divergent thinking and seeking the opposite sex.

4. Check the feedback and focus on counseling. Teachers can enlighten students' thinking by checking feedback and explaining, sum up problems that students can't solve, guide methods, supplement knowledge rules, and achieve mastery and sublimation. This link is not only to make up the difference, but also to improve students at different levels. It not only helps underachievers to solve difficult problems, but also helps good students to understand more thoroughly by correcting their mistakes.

5. Set exercises skillfully to consolidate and improve.

Through basic training, test the compliance of students and make up for the shortcomings. Class assignments should be typical, moderate in difficulty and workload, with questions, multiple-choice questions and sometimes thinking questions. A class takes about 15 minutes of homework. Teachers urge students to finish their homework independently, and encourage students who have finished the necessary questions to choose to do or think.

In a word, classroom teaching is a profound knowledge with strong artistry. In order to improve the effectiveness and efficiency of classroom teaching, we must adhere to the principle of "all for students' development", take teaching theory as the guide, and constantly summarize, improve and innovate through our own continuous practice, so as to really improve the quality of classroom teaching and improve students' learning efficiency.