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Concepts should be understood, and the solution to the exercises is used to help understand the concept, not purely for the purpose of completing the assignment. The understanding of properties and theorems should also be achieved through exercises. Concepts, theorems, properties, etc. should be memorized, and then through the practice of exercises, the effect will be better.
Preview before class, take notes in class, review after class, and fill in the gaps. Do a good job of the stage summary, including the content learned, the solution method of common exercises, the connection between the content of this stage and the knowledge before and after, etc., doing a good job in this part can make learning twice the result with half the effort and improve learning efficiency, and many students do not think so. In addition, you should maintain enough sleep, lack of sleep, grogginess, will reduce the efficiency of learning, do not fight fatigue, do not pick up sesame seeds and lose watermelon.
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First of all, we must learn the knowledge in the textbook and understand the textbook thoroughly, and secondly, we must do more questions, especially the college entrance examination questions in recent years. Five-three is good.
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The function problems in the first year of high school are not difficult, as long as they can be converted, the solution ideas will be easy to understand.
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To sort out the wrong questions, it's not that you copy the answers, it's called sorting out, you have to do it again little by little, and if you can't, ask the teacher again Perseverance, you can't fish for three days and dry nets for two days The first year of high school is a hurdle It's good to pass.
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If you want to learn mathematics well, you must do more questions, and you must have the ability to take one step at a time, and you must reflect more after completing the questions.
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Mathematics is mainly to cultivate children's logical thinking ability, the ability of space construction, such ability requires children to pay full attention to the lecture when in class, the efficiency of the class determines your test scores, only in class to listen clearly, listen to understand, we say that children's mathematics learning can be improved.
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The most important thing is to be able to draw inferences, we must know that the example problems in the learning of mathematics are very important, a kind of example problems represent a way of solving problems, so as parents should guide their children to summarize the methods they have learned, rather than simply doing problems, and to practice in a targeted manner.
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Improve study habits. For the mathematical problem solving link, three specific feasibility requirements are proposed, that is, three do's and three don'ts: the operation should be practical and not brain-arithmetic, the steps should be complete and not jumping, and the reasoning should be rigorous and not obvious. In fact, perseverance is the greatest efficiency.
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Do some exercises outside of the textbook as appropriate. We do not advocate the tactics of the sea of questions, but the necessary practice is indispensable, because the textbook only provides us with basic concepts, simple and typical example questions, and the college entrance examination or general examination, appropriate homework practice, which is far from enough, and the college entrance examination or general examination, the amount of questions is large, the method is lively, and the skills are strong, only through a large number of exercises, can we analogy the problem-solving method, in order to expand the scope of knowledge, in order to master more problem-solving skills, students who learn to take the driver's license, a movement to practice dozens of times, Athletes who practice swimming have to do a movement hundreds of times or thousands of times, and we learn mathematics, and we should practice a question on the type of test, which is necessary and necessary.
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Laying a solid foundation is the royal way to study the Fa. First practice the definitions, theorems and formulas in the textbook with a large number of the simplest questions, especially for students with a bad foundation, don't take the college entrance examination questions and axis questions at every turn, just do the most yourself, the foundation is like the Dengzi leg you sit down, the foundation is not firm, and the whole body is shaken. Lay a solid foundation and work step by step, those so-called problems will be easy to solve, and many of them will be self-defeating, and they will move forward steadily, and they will come to fruition.
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There must be no rest in the heart. The first compulsory course is the function content, which can be said to be the Everest of high school mathematics, where many students have fallen to their self-confidence and interest, and have led to a more serious break in the foundation of the follow-up content. The most important part that affects the learning of compulsory 1 is the arithmetic ability and quadratic functions, especially the quadratic function image, when encountering quadratic functions, the method will be matched, and when encountering quadratic inequalities, the greater than sign is on both sides, and the less than sign is in the middle, rote memorization, rigid copying, will not use images to analyze problems, and it is difficult to adapt to high school content.
Therefore, during the summer vacation, it is necessary to make up for the operation and quadratic function part. In the arithmetic part, we should practice the most basic arithmetic, and if the foundation is not good, we can draw up a training plan for ourselves, and we can plan a training plan for 1,000 or even 10,000 questions.
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It is necessary to grasp the connection point between junior high school mathematics and high school mathematics. The promotion of students from junior high school to high school is a qualitative leap in their growth, and their mathematical cognition has improved, from perceptual cognitive mathematics to rational cognitive mathematics. For example, in junior high school, we compare 2 to the 3rd power and 3 to the 2nd power, and we can compare the size through simple calculations, but high school math is different.
For example, the size of the power of the comparison and the power of the comparison cannot be calculated by comparing the size, but the comparison should be made by using the increase and decrease of the function, and the first thing to consider is how to compare. Secondly, we need to think about what kind of function it belongs to, then think about the image shape of the function, and what properties this function has, etc., and we need to think step by step, rather than picking up a pen. This requires senior one students to learn mathematics well, change their mathematical cognition, think more, how to do it, and think about every problem step by step.
In terms of bridging knowledge, mathematics teachers in the first year of high school should also grasp the connection of knowledge points in junior high school and high school. For example, when explaining the operation of sets, the unary quadratic inequality is not a requirement in junior high school, and the first year of high school students are quite used when learning the operation of sets, so it is necessary to explain the unary quadratic inequality to students clearly, and it is very important to grasp the cognitive connection and knowledge point connection.
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1. Understand the characteristics of mathematics in the first year of high school.
The difficulty of mathematics content in the first year of senior high school increases, and the application of mathematics knowledge is increased, requiring students to use mathematical language such as words, symbols and graphics to express problems for communication, and mathematical ideas and methods run through the textbook, which puts forward higher requirements for ability.
2. Correctly deal with new difficulties and new problems encountered in learning.
Students must have the courage and confidence to overcome difficulties, not arrogant in victory, not discouraged in defeat, and must not let the problems pile up and form a vicious circle, but under the guidance of the teacher, seek solutions to problems, cultivate the ability to analyze and solve problems.
3. It is necessary to transform the passive learning mode into an active learning mode.
The best state of learning mathematics is to take the initiative, refer to the teaching process, have a certain initiative in mathematics activities, and often find and launch problems.
4. Develop a good personality.
In the first year of high school, mathematics should establish the correct learning purpose, cultivate a strong interest in learning and tenacious learning perseverance, have enough confidence in learning, a scientific attitude of seeking truth from facts, and an innovative spirit of independent thinking and exploration.
5. Take good notes and pay attention to the simplicity of class reading.
First of all, it is important to develop a good habit of listening to lectures in the first year of mathematics classroom teaching. Of course, listening is the main thing, listening can make you concentrate, and you must understand and listen to the key parts of what the teacher says. When listening, pay attention to thinking and analyzing problems, but just listening without memorization, or just remembering without listening will inevitably take care of one or the other, and the classroom efficiency is low, so you should take good notes appropriately and purposefully, and understand the main spirit and intention of the teacher in the class.
Scientific note-taking can improve the effectiveness of a 45-minute class.
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1. Point 1: Correctly understand the characteristics of high school mathematics.
High school math and junior high school math are two completely different concepts, and the biggest difference is that high school math is more abstract. Students who have studied in high school know that concepts such as sets and mappings are very difficult to understand and far away from life, unlike mathematics in elementary and junior high school. In addition, there is a clear difference between the mathematical language of junior high school and high school.
Mathematics in junior high school, it is figurative and popular. However, in the first year of high school mathematics, the state of the front has changed, and it has touched the abstract set language, logical operation language, function language, space three-dimensional geometry, etc. For students who have just entered high school, it is obviously difficult to accept this change.
Then, after entering high school, students must pay attention to this change, and be able to accept and adapt to this change, so that they can learn mathematics well.
2. Point 2: Change bad study habits.
Many students in the first year of high school do not have good study habits, for example, relying on the psychology is very serious, many students, not willing to diverge their thinking at all, he only relies on the content of the teacher in the classroom to complete the exercises, as everyone knows, can only follow the words of the cat and the tiger, and can not go deep into the study at all. In addition, some students enter high school, but they still regard themselves as primary school students, and they are not willing to preview in advance, or participate in the teacher's questions, and are only willing to sit and wait for the teacher to indoctrinate them.
Also, some students are not mentally prepared after entering high school, but are very lazy, thinking that there is no need to be in a hurry in the first year of high school, and they can study hard in the third year of high school, in fact, this kind of thinking is completely wrong! Mathematics in high school is so difficult, you can only learn it step by step, and you have discarded high school.
First, during the ** period of the second year of high school, no matter how hard you study in the third year of high school, you can't catch up!
3. The third point is to learn to allocate study time scientifically and skillfully.
After all, teachers will prepare for the class in advance before class, and will repeatedly explain the important and difficult knowledge in this lesson, at this time, we must actively follow the teacher's thinking, and we can't think of other things to distract you. This is all a sign of irresponsibility to yourself!
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The content to be learned in the first year of high school is actually not much compared to the whole high school. However, it is fundamental, so it is important. Especially those from the last semester, such as inequalities and functions, can be said to be throughout high school and even extended to college.
After the next semester, the most important and troublesome thing is trigonometry. But needless to say, although mathematics is refined, you must memorize the theorems and formulas before you use them. If you use it too much, you can get it cooked.
In fact, everyone knows how to learn mathematics, it just depends on whether you have the determination to learn well. One shot and two practice. And the most important thing in mathematics is to understand the pull after practice.
Having said all this, the key is that you are willing to learn. Be willing to work hard. If there is a shortcut to learning English, then there is absolutely no shortcut to learning mathematics. To learn well, you must work hard.
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This is because you have just entered the first year of high school, because the jump in mathematics knowledge in junior high school and high school is relatively large, and the things you are exposed to are very different from before, in addition, the physics in junior high school and high school is also very big in the jump, although it seems that the content is similar, the actual difficulty has deepened a lot, so you must listen carefully to the class, follow the teacher's ideas as much as possible in class, and do more exercises after class.
1. Memorize concepts, 2. Understand theories and inferences, 3. Do some classic test questions, 4. Do math problems in textbooks, and listen carefully to lectures.