1 seventh grade math learning skills
1. Stimulate learning motivation
That is, to stimulate the internal psychological mechanism of students' subject and mobilize the enthusiasm of all their psychological activities. For example, in the process of learning the mixed operation of rational numbers, when introducing teaching, the author talks about poker games with students according to their hobbies, which arouses their interest and makes them have a strong thirst for knowledge. The author also uses vivid, close to students and humorous language to infect students.
2. Exercise the will to learn mathematics
Psychologists believe that will is manifested in overcoming difficulties, and it is also developed in frustration and overcoming difficulties. Difficulty is a "whetstone" to cultivate students' willpower. The author thinks that we should pay attention to practice. In seventh-grade math exercises, students should often be given exercises with appropriate difficulty, so that they can make some efforts to think and solve problems independently, but we must pay attention to the appropriate difficulty, because it will dampen students' confidence and exercise their will too easily.
3. Develop good math study habits.
Some children are used to boring questions and blindly think that doing more questions is the way to learn math well. This bad study habit must be corrected by the teacher in the usual teaching.
2 Mathematics learning methods
Infiltrate mathematical thinking methods in mathematics teaching
Mathematical thinking method is always contained in the concrete basic knowledge of mathematics, and it exists in a potential form. As teachers, we should reveal the deep knowledge, transform it from potential form to explicit form, and transform it from hazy feeling of mathematical thinking method to clear understanding. In the process of classroom teaching, the occurrence of superficial knowledge is actually the occurrence of thinking methods. The formation process of concepts, the comparison of old and new knowledge, the derivation of conclusions, the revelation of laws and the thinking process of solving problems are all excellent opportunities to infiltrate mathematical thinking methods and train thinking. At this time, improving the learning effect will often play a multiplier role.
Cultivate mathematical thinking
Mathematical thinking is a form of thinking activity to think and solve mathematical problems. Mathematical thinking methods do not exist alone, but have their opposites, which can be mutually transformed and supplemented in the process of solving problems, such as intuition and logic, divergence and orientation, macro and micro, forward and backward, etc. If you can consciously turn to the opposite method when one method is blocked, you may feel that there is no way back and there is another village. For example, in some series problems, in addition to deductive reasoning, inductive reasoning can also be used to find the sum formula of the general formula and the first n terms. Therefore, we should be good at cultivating our directional thinking ability, diffusive thinking ability and innovative thinking ability, which plays an important role in improving the quality of rational thinking.
Establishing mathematical mind map
Mathematical mind map includes knowledge point mind map and problem-solving mind map, which is a method to connect the knowledge system composed of numbers, figures, lines and imagination. It regards knowledge as a closely related system and pays attention to grasping the internal connection of knowledge. After learning a chapter, we can set up a mind map, sort out the knowledge points in this chapter, establish the overall consciousness, and grasp the relationship between the previous knowledge and the later knowledge more deeply, which is helpful to the integration of knowledge points. There are many forms of mathematical mind maps. We don't have to build according to the style in the reference book, but to build our own mind map according to our own ideas. This method is simple and easy, and can effectively stimulate interest in learning.
3 Mathematics learning methods
Form a good habit of learning mathematics.
Good habits of learning mathematics include self-study before class, paying attention to class, reviewing in time, solving problems, systematically summarizing and studying after class. It is necessary to develop good preview habits, strengthen the preview of knowledge before class, and make yourself less unfamiliar when the teacher talks about knowledge. Listen attentively in class. What the teacher says is often the key and difficult points, which can deepen your understanding of knowledge.
It is necessary to review knowledge in time, strengthen after-class reflection, and further consolidate the review of existing knowledge. Remember that you have a little knowledge, and you can't be afraid of difficulties when facing the homework left by the teacher. Only by doing basic problems can we understand knowledge, and only by doing difficult problems can we understand knowledge deeply. You should be good at summarizing the different knowledge points encountered in the process of doing the problem, so as to improve your systematic ability of knowledge. When you have energy, you should strengthen extracurricular study and improve your ability.
Reflection and understanding of learning methods and habits.
(1) Learning initiative. After entering high school, many students still have strong dependence psychology like junior high school. They follow the teacher's inertia and have no initiative in learning. They don't make plans, wait for classes, don't preview before classes, don't understand what the teacher is going to do in class, are busy taking notes in class, ignore the real class task, attend to one thing and lose sight of another, and learn passively. (2) the organization of learning. Teachers usually explain the ins and outs of knowledge in class, analyze the connotation and extension of concepts, analyze key points and difficulties, and highlight thinking methods. But some students don't pay attention in class, don't hear the main points clearly or can't hear them completely, take a lot of notes and have a lot of problems. After class, I can't consolidate, summarize and find the connection between knowledge in time, but I am busy with homework and confused questions, and I know little about concepts, laws, formulas and theorems.
(3) ignoring the foundation. Some students who "feel good about themselves" often despise the study and training of basic knowledge, basic skills and basic methods, and often do it instead of calculating and writing carefully, but they are very interested in difficult problems to show their "level". Their goals are too high, and they pay more attention to "quantity" than "quality", and they fall into the sea of questions, either making mistakes in calculation or giving up their formal homework or exams halfway. (4) Students' bad habits in practice and homework. Mainly answer, do not believe in their own conclusions, lack of confidence and determination to solve the problem; Discuss problems without thinking independently, and develop a psychological quality of dependence; Slow work, not talking about speed, can not train the agility of thinking; My thoughts are not concentrated, and my homework and practice are not efficient.
4 Mathematics learning methods
Instruction of lecture methods
Instruct students to pay attention to: (1) listen to the learning requirements of each class (according to the teaching objectives of each class); (2) Listen to the process of knowledge introduction and knowledge formation; (3) Understanding the analysis of key points and difficulties (especially the doubtful points in preview); (4) Listen to the reflection of problem-solving ideas and mathematical thinking methods. In the course of lectures, students should be guided to handle the relationship between understanding, thinking and taking notes. It can be said that "listening" is the basis of "thinking", and "thinking" is the deepening of "listening" and the core and essential content of learning methods. Only when you think can you learn. "Notes" refers to students' class notes.
Grade seven students generally don't take reasonable notes. Some notes are completely memorized, but they are of little use. Therefore, when instructing students to take notes, they should be required to: (1) take notes and obey the lecture, and seize the opportunity of recording; (2) Remember the main points, questions, ideas and methods of solving problems; (3) Remember to summarize and think after class. Make it clear that "remembering" serves "listening" and "thinking". Therefore, in teaching, teachers should focus on the whole lesson plan, highlight key points, resolve difficulties and eliminate weaknesses. According to the characteristics of teaching materials and the actual situation of students, teachers should be a "screenwriter" and play a "leading role" in preparing lessons.
The guidance of "asking questions"
Asking can solve doubts, asking can know new things, and learning in any subject begins with questions. Einstein said, "It is more important to ask questions than to solve them." But the seventh-grade students are often not good at asking questions and don't know how to ask them. Therefore, in normal teaching, teachers should teach students some basic questioning methods, mainly including: (1) questioning method. That is, after answering a question, follow the train of thought and continue to ask questions;
(2) rhetorical questions. Ask questions in the opposite direction according to the textbook and what the teacher said; (3) Analogy to questioning method. According to the relationship between some similar concepts, theorems and properties, questions are raised through comparison and analogy; (4) Contact the actual way of asking questions. Combined with some knowledge points, through the observation and analysis of some phenomena in real life, some problems are put forward. In addition, students are required to ask not only why, but also why. Of course, in teaching, teachers should also adopt scientific teaching methods according to different people, and encourage students to be interested in asking questions, dare to ask questions, be diligent in asking questions and be good at asking questions.
Learning skills of seventh grade mathematics