Clear classroom teaching objectives, grasp the key and difficult points. Teaching goal is the expected result of students' learning or the expected standard of students' learning activities (it includes knowledge goal, ability goal and ideological and emotional goal). In classroom teaching, we should always take the classroom teaching goal as the center, which requires our teachers not only to carefully study the syllabus and teaching materials, grasp the depth of each knowledge point in teaching, identify the key, difficult and key knowledge points, and identify the "growth point" of new knowledge; It is also necessary to understand the students' actual knowledge level, so that the students' hierarchy can be reflected in the teaching objectives. Therefore, when preparing lessons, we should make clear the teaching objectives, key points and difficulties of this course. However, we should choose teaching strategies, methods and media around teaching objectives, key points and difficulties, and make necessary optimization and combination. Then, through the joint efforts of teachers and students in mathematics classroom teaching, students can achieve the predetermined teaching goals in knowledge, skills, psychology and morality, thus improving classroom teaching efficiency.
Second, highlighting the key points and resolving the difficulties is the key to improve the efficiency of mathematics classroom teaching.
Generally speaking, the teaching content of each class has its own unique teaching points that students need to master. In order for students to master the teaching content of a class, it is necessary to highlight the key points and achieve the effect of outlining and making it easy for students to master. In the teaching process, there are often some knowledge points that students are difficult to understand and master in every class. As teachers, we must proceed from the reality of students, grasp the key points, find out the difficulties and solve them, in order to achieve the expected teaching purpose. In order to make students clear about the key points and difficulties of this class, teachers can briefly write these contents on the blackboard in class to attract students' attention. The key content of the lecture is the climax of the whole class. Teachers should impress students with the knowledge they have learned, stimulate students' interest in learning and improve their ability to accept new knowledge through changes in sounds, gestures and blackboard writing, or by using visual teaching AIDS such as models and projectors.
Thirdly, it is the key to improve classroom teaching to deal with the relationship between open teaching and the implementation of double bases.
The information and background provided by the new textbook are rich and colorful, and you can explore under the new concept at any time. Compared with the single teaching under the traditional method, the time for mechanical training, repeated reinforcement and implementation of the two basics is relatively reduced. How to embody the integration of three-dimensional goals in each class, let students experience, explore and implement the two basics, improve their ability and develop their thinking is worth discussing, but it is the current teacher's confusion. I pay attention to "three modernizations" in teaching;
(A) the concept of mathematics learning exercises
Mathematics is an indispensable tool for people to participate in social life, engage in productive labor and study, and study modern science and technology. In teaching, we should guide students to master mathematical laws (including laws, properties, formulas, axioms, mathematical ideas and methods) on the basis of learning concepts well, and focus on cultivating their abilities. Therefore, practice is an integral part of mathematics teaching, a necessary condition for students to master basic knowledge, basic skills and develop their abilities, and a necessary condition for learning mathematics well. I am based on the psychological principles of small steps and quick running, timely reinforcement, variation and goal determination. Through variant exercises that embody the connotation and extension of mathematical concepts, we can deepen our understanding and mastery of mathematical concepts.
(2) Intelligent problem solving. "Problem solving" is an advanced learning activity, which is good at solving problems. There is a causal relationship with knowledge and skills, that is, knowledge and skills learning is the premise of problem solving, and problem solving is the result of knowledge and skills learning.
How to integrate "problem solving" into classroom teaching?
1, integrate "problem solving" into teaching activities, that is, take problems as the starting point of teaching, stimulate students' interest in learning, and fundamentally solve the problem of changing from "asking me to learn" to "I want to learn".
2. Highlight the formation and development of knowledge. Only by putting forward, forming and developing concepts, laws and theorems, and exploring ways to solve problems, can students fully understand, teachers' "knowledge" can be transformed into students' "knowledge", and students can be promoted from "learning" to "learning". 3. Pay attention to reflection after solving the problem. The process of solving problems includes the whole process of thinking, from the beginning of the exam to the continuation of a solution.
4. Be good at transforming problems. The core of mathematics education is mathematics thinking education, and the solution of mathematics problems is the main way to form students' mathematics consciousness and cultivate students' mathematics thinking quality. Therefore, our mathematics education should proceed from students' reality, and turn the problem from complexity to simplicity with the help of identities or identical solutions, so as to solve the problem.
(C) scientific training methods
Only by adopting scientific methods and organizing training purposefully and in a planned way can we get twice the result with half the effort. To this end, classroom training should pay attention to the following issues:
1, basic skills training and ability training according to students' cognitive rules. Therefore, the classroom can be conducted in stages according to the teaching content. With the deepening of students' understanding of knowledge, the requirements for basic skills and abilities are gradually improved.
2. The length and quantity of training should be determined according to the content of the textbook and the students' reality, so as to achieve the best possible effect without increasing the students' study time.
3. The arrangement of exercises should reflect the educational principle, with low starting point, small steps, fast pace and large capacity, so that every student can experience the joy of success and strengthen students' thirst for knowledge from both inside and outside.
4. Select an exercise for the exercise. For example, in order to introduce new courses, select and compile knowledge connection questions; In order to consolidate the concept, choose basic variant questions; In order to correct mistakes, choose judgment questions and multiple-choice questions; In order to broaden our thinking, the topics are changeable and many problems are solved; And so on, so as to achieve the training goal.
5. Pay attention to evaluation and encouragement to improve students' practical enthusiasm. When students' achievements and progress are found, they should be affirmed and praised in time; When mistakes are found, students should be guided to find the reasons and correct them in time. Enthusiastic care and strict requirements for students, so that students can actively participate in classroom teaching activities under the encouragement of constantly improving their academic performance. ;