-Middle school students should constantly explore their own mathematics learning methods.
We found many cases in which students improved their mathematics learning through the Internet, books and surveys. In order to improve middle school students' mathematics study, we hope it will help you in your future mathematics study.
Case 1: Ren Jing never passed the math exam before the third grade, so her father asked the teacher to help her. In fact, she didn't do anything, but went to the teacher's house once a week to give a lecture and asked her to tell the teacher what she had learned in class until the teacher was satisfied. After half a year, his math scores improved rapidly. When she graduated from senior three, she took two mock exams, one with 148 and the other with 149. Later, he was admitted to Peking University. Less than a year after I entered Peking University, I was admitted to an American university and went to study in the United States. Last year, she sent an email to her teacher, saying that her American classmates said he was a math genius, but the American classmates didn't know how bad her math was until the third grade!
Case 2: A teacher with poor math performance in Grade One of Senior High School has to test his students every week, and publicly tells his students that the questions are all examples he talked about in class. The students began to be in an uproar, but 90% of them were confident to get full marks. Only the worst students in the class dare not say so. Soon, the preliminary test results came out, with a pass rate of 48% and a perfect score of less than 8%. The second time, things got better. In the first year of junior high school, the average score of this class is different from that of the special class in the same grade 12.5 points. Grade two is only 1.5 points worse than the average grade 10 points. After graduating from the third grade, this class is almost the same as the special math class. Therefore, learning examples and learning examples well are shortcuts to learning mathematics.
Case 3: Ma Yiyang saw the following classification of students' learning characteristics in the study newspaper: the first one, excellent, solid foundation, good learning, high intelligence, stable and excellent grades; The second type, loose, has strong learning ability, but can't take the initiative, learning is not practical, the foundation is not solid, and the academic performance is unstable; Third, be serious and diligent in learning. Inferior type. Not interested in learning, not working hard, poor foundation, dead methods, weak ability, poor academic performance, in a state of "learning derailment" and "vicious circle". For different types of students, the guidance methods and emphasis should be different. The first focuses on helping gifted students and consciously using learning methods; For the second, it mainly solves the problem of learning attitude; For the third main solution; Ma Yiyang thinks that he belongs to the third kind, so he asks his teacher for math learning methods. The teacher carefully pointed out the specific operation methods of class, preview, review and homework. He persisted in applying it for three months and got 92 points in a unit test.
Case 4. Ma Yaping is a middle school student. In order to improve her math performance, she studies strictly according to the contents of the reflection card told by the math teacher every day. This reflection card is divided into cognitive field and emotional field according to the evaluation index. Time-based classes: cognitive fields include: 1. Subject (geometry or algebra); 2. The content of the lecture; 3. Grasp the situation in class; 4. What is not mastered and the reasons; 5. do your homework; 6. The time of day to study math. Emotional fields include: 1. Attend lectures; 2. Mathematics learning experience; 3. Say a few words to the teacher; 4. Say a few words to yourself. After 9 weeks of experiments, Ma Yaping's math scores in unit tests and mid-term exams have been greatly improved.
Case 5. A math teacher in Beijing mainly teaches his students the following five feasible and effective learning methods suitable for middle schools: 1, cultivating methods and habits, and thoroughly mastering basic knowledge; 2. Cultivate the method of thoroughly understanding typical cases; 3. Cultivate the good habit of classroom memory; 4. Cultivate confidence in the accuracy of operation; 5. Cultivate the methods and habits of research and analysis. Sha Wenhua thinks that among the five methods, "calculation accuracy" is most suitable for him. In normal times, he is easy to make careless mistakes, either copying the numbers wrong or taking the plus sign as the minus sign, as in the midterm physics exam. So he asked the teacher to tell him all kinds of measures to solve the problem of "calculation accuracy". He followed the method step by step, which not only did not make careless mistakes, but also shortened the time to do the questions and greatly improved the exam results.
How to teach physics well and how to improve physics scores.
How to teach physics well
For a student, attending class is the central link of his study. Students acquire all kinds of knowledge, mainly through the form of teachers' classroom teaching. Therefore, whether to attend classes or not plays an extremely important role in students' academic performance. Junior high school students have been listening to teachers' classes since they entered primary school, but few people care about how to listen to teachers' classes, how to listen to a certain subject and a certain teacher's class. As for the characteristics of junior high school physics classroom teaching, what are the characteristics of a physics teacher's lectures, and how students should grasp their own characteristics to adapt to his teaching and listen to his lessons well, few people have studied it. At ordinary times, we emphasize that students should concentrate on listening and observe discipline in class. However, we often find that some students have normal brains, good intelligence, observe discipline and pay attention to lectures, but their academic performance just can't get up. Whenever they ask questions, they don't know. Careful scrutiny, the reason is that you can't attend classes and you can't grasp the main points of the teacher's lectures. To master the essentials of the teacher's lecture, we should pay attention to:
(1) What are the characteristics of physics classroom teaching and how are they different from other subjects?
(2) What are the characteristics of all kinds of physics textbooks?
(3) What are the habits of physics teachers, how to adapt to the teachers' teaching and listen to the class well.
(4) Follow the teacher's thinking and firmly grasp the basic concepts. In physics class, teachers have their own methods of asking questions, doing experiments, analyzing problems and solving problems. Teachers' ideas are developed according to the system of teaching materials and the objective laws of people's understanding. Therefore, it is necessary to teach students to develop thinking activities with the development of teachers' ideas, so that students can learn the ins and outs of knowledge, learn thinking methods and improve their ability to deal with problems while learning physics knowledge.
Mastering basic concepts is the key to learning junior high school physics. Teach students to understand from the teacher's explanation:
Understand the connotation and extension of the concept and how it was put forward.
Understand the expression of concepts
Learn how to use this concept to calculate or solve practical problems.
④ Understand the scope and conditions of concept application.
Learning the basic physical concepts in this way, even if you grasp the essentials. To learn the basic concepts of physics, we should ask why from the opposite side and deepen our understanding of it from different angles. For example, in electricity, there is a basic law: "The current intensity in a series circuit is equal", so you can ask yourself in turn: "Are two resistors with equal current intensity necessarily connected in series?" You can also ask, "What is the general condition of equal current intensity in a resistor?" . This positive and negative combination will deepen the understanding of basic concepts and firmly grasp them.
(5) Actively participate in classroom discussions and classroom questions and answers. Organizing class discussions often leads to students' lack of enthusiasm because of their enhanced sense of self-esteem. Need to adopt the form of "small discussion" (discussion with several people nearby). Classroom exercises also mostly use the original sitting posture exercises, and less use the form of "climbing the blackboard". Organize appropriate class discussions on the basis of small discussions. In small discussions or classroom questions and answers, students with different temperament should pay attention to overcoming their weaknesses: for example, students with quick response, enthusiastic and active temperament should pay attention to overcoming their impatience and superficiality; Students who are slow-witted, introverted and depressed will speak in class discussion under certain circumstances. This can not only prevent self-esteem from being hurt, but also exercise different types of students' ways of thinking and learning.
How to improve physics performance
Physics is a headache course for most senior high school students. But in fact, physics is not complicated and easy to understand. As long as you master better learning methods, you can become very interesting and studious. Next, I will talk about how to improve my physics performance by combining my previous study experience and my two-year tutoring experience. First, read the textbook repeatedly. This step is crucial, almost all top students have this experience. Textbooks are the best teachers. Many students will say, "The textbooks are so simple and the exams are so difficult. Did it work? " This idea is very wrong. In fact, as far as I know, any poor or average physical performance is weak in basic knowledge. They think they have learned well, but in fact they don't understand the most basic concepts and theorems. If you don't believe me, you can open the catalogue of teaching materials and carefully recall the relevant contents paragraph by paragraph, and then you will understand what you don't understand. For a physical concept, we should understand it from a deep level. For example, what can you think of when two small balls collide? What happened to the momentum? What's wrong with energy? -don't think about these questions when you have to do the problem. These questions seem simple, but if you think about them carefully, you will find many problems. Moreover, such a simple question is the root of hundreds of millions of questions. Secondly, do some simple questions. This second step, like the first step, is looked down upon by many people. They may think that doing those simple problems lowers their status, or they are too busy doing difficult problems to do simple problems. What is a "simple topic"? It is those topics that directly examine basic definitions and theorems, such as exercises in textbooks, which are slightly more complicated. The purpose of doing these questions is not the correct answer, but to thoroughly understand the question and associate something from simple questions. Some so-called problems are actually composed of several simple topics. Then, look at the examples in the reference books and do some routine questions with moderate difficulty. Personally, I like reading examples from reference books best, because the number of questions is small, typical and the answers are standardized. Doing a few medium-sized questions after class is often very effective-not asking for more, just a few. As the old saying goes, think about it when you're done. Finally, look at and do difficult problems with appreciation and fun. To tell the truth, there are no difficult questions in the current comprehensive examination, which are related to real life at most. It is often not too difficult to connect with the actual topic, but it scares a group of people without reading the topic. At least 70% or 80% of the questions in the comprehensive science examination belong to simple questions or intermediate questions, so for most people, the key is to lay a good foundation and do a good job in simple intermediate questions; Besides, only by doing these problems well can we have the time and ability to do the so-called difficult problems. Let me remind you again: the so-called moderately difficult questions are just simple questions that are slightly more complicated. Having said that, I hope I can help you.