First, the reasons for the decline in math scores after entering high school
Many students get good grades in mathematics in junior high school, but their grades drop sharply after entering senior high school. According to their general learning state, the main reasons for the decline in their grades are: 1. Passive learning.
After entering high school, many students, like junior high school, have strong dependence, follow the teacher's inertia and fail to grasp the initiative in learning, such as: waiting for class without making plans; Do not preview before class, do not understand what the teacher wants to do in class; Busy taking notes in class, I can't hear the "doorway" and I don't really understand what I have learned.
2. Teachers who can't learn law should generally explain the ins and outs of knowledge, analyze the connotation of concepts, analyze key and difficult points, and highlight thinking methods. However, some students didn't pay attention in class, didn't hear the main points clearly or didn't listen fully, took a lot of notes and had many problems. After class, I can't consolidate, summarize and find the connection between knowledge in time, but I just do my homework in a hurry and do the problems in disorder, and I am at a loss about concepts, laws and formulas. Some people work overtime at night, are listless during the day, or don't listen at all in class, so they have another set. The result is half the effort, with little effect.
3. Don't pay attention to 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 only know how to do it, but they are interested in difficult problems to show their "level", and they are ambitious, either making mistakes in calculation or giving up halfway in formal homework or exams.
4. The conditions for further study are not available.
Compared with junior high school mathematics, senior high school mathematics is a leap in depth, breadth and ability, which requires students to master basic knowledge and skills to prepare for further study. Many parts of high school mathematics are difficult, with new methods and high requirements for analytical ability, and some contents are still out of touch with the textbooks of high school and junior high school. If remedial measures are not taken in time, division is inevitable.
Second, grasp the initiative and learn high school mathematics well. It is not enough for high school students to just want to study. They must also "learn", pay attention to scientific learning methods and improve learning efficiency, so as to turn passivity into initiative:
1. Strengthen the guidance of learning methods and cultivate good study habits. Good study habits include making plans, self-study before class, paying attention to class, reviewing in time, working independently, solving problems, systematically summarizing and studying after class;
(1) Making a plan makes the learning purpose clear and the time arrangement reasonable and steady, which is the internal motivation to promote students' active learning and overcome difficulties. But the plan must be practical, with both long-term plans and short-term arrangements. In the process of implementation, we must be strict with ourselves and hone our learning will.
(2) Self-study before class is the basis for students to learn new lessons well and achieve better learning results. Self-study before class can not only cultivate self-study ability, but also improve their interest in learning new lessons and master the initiative in learning. Self-study should not go through the motions, but also pay attention to quality. Try to understand the teaching materials before class, pay attention to the teacher's ideas in class, grasp the key points, break through the difficulties and try to solve the problems in class.
(3) Listening attentively is the key link to understand and master basic knowledge, skills and methods. "Learning is not enough", students who have taught themselves before class can concentrate more, and they know where to be detailed and where to omit. Where to carve carefully, where to pass by and where to record, instead of copying all the records, pay attention to one thing and lose another.
(4) Timely review is an important part of efficient learning. By repeatedly reading textbooks and consulting relevant materials, we can strengthen our understanding and memory of basic concepts and knowledge systems, link the new knowledge we have learned with the old knowledge, make analysis and comparison, and arrange the review results in our notes while reviewing, so that the new knowledge we have learned can be changed from "understanding" to "knowing".
(5) Independent homework is a process in which students can analyze and solve problems flexibly through their own independent thinking, further deepen their understanding of new knowledge and master new skills. This process is a test of students' will and perseverance, and through homework, students can change their knowledge from "knowledge" to "familiarity".
(6) Problem-solving refers to the process of understanding the knowledge wrongly exposed in the process of independently completing homework, or missing the answer because of the blocked thinking, so that the ideas can be unblocked through inspiration and the answers can be supplemented. To solve the problem, we must have the spirit of perseverance and do the wrong homework again; If you don't understand the mistakes clearly, you should think again and again. If you can't solve them, you should consult your teachers and classmates. We should always review and strengthen the mistakes that are easy to make, and persist in changing knowledge from "familiar" to "alive" for a long time.
(7) Systematic summarization is an important link for students to master knowledge comprehensively, systematically and profoundly and develop their cognitive ability through positive thinking. Summarization should be based on teaching materials, refer to notes and related materials, and reveal the internal relationship between knowledge through analysis, synthesis, analogy and generalization, so as to achieve the purpose of mastering the knowledge learned. Frequent multi-level summarization can change what they have learned from "living" to "understanding".
(8) Extracurricular learning includes reading extracurricular books and newspapers, participating in academic competitions and lectures, and visiting senior students or teachers to exchange learning experiences. Extracurricular learning is a supplement and continuation of in-class learning. It can not only enrich students' cultural and scientific knowledge, deepen and consolidate what they have learned in class, but also satisfy and develop students' hobbies, cultivate students' autonomous learning and working ability, and stimulate students' thirst for knowledge and enthusiasm for learning.
Step by step to prevent impatience
Because students are young and have limited experience, many high school students are prone to impatience. Some students are greedy for quick results, gulping down dates, some students want to "sprint" in a few days, some students are complacent as soon as they get results, and they will be devastated when they encounter setbacks. In view of these situations, teachers should let students know that learning is a long-term accumulation of consolidating old knowledge and discovering new knowledge. It can't be done overnight. A very important reason why many excellent students can get good grades is that their basic skills are solid, and their reading, writing and computing abilities have reached the level of automation or semi-automation.
3. Study the characteristics of the subject and find the best learning method.
Mathematics is responsible for cultivating students' computing ability, logical thinking ability, spatial imagination ability, and the ability to analyze and solve problems by using what they have learned. Its characteristics are high abstraction, strong logic, wide applicability and high requirements for ability. Learning mathematics must pay attention to "living", not just reading books without doing problems, not burying one's head in doing problems without summarizing and accumulating, and must be able to access textbook knowledge and combine one's own characteristics. To find the best learning method, the learning process of "from thin to thick" and "from thick to thin" advocated by Mr. Hua is the truth. The methods vary from person to person, but the four links of learning (preview, class, assignment and homework) and one step (review and summary) are indispensable.
4. Strengthen counseling and resolve differentiation points. There are many easy differentiations in high school mathematics. These places generally have the characteristics of new methods, great difficulty and strong flexibility.