The so-called "double basis" refers to the basic concepts and theories of chemistry, which is an important part of the basic knowledge of chemistry and the basis for learning chemistry well. They are generally expressed in concise and clear words, which are scientific, rigorous and logical. When learning, don't just memorize, be good at grasping key words and phrases and understanding them accurately. For example, the key words of the catalyst concept are "variable", "before and after the reaction", "quality and chemical properties" and "unchanged"; The law of conservation of mass focuses on understanding "participation in reaction", "total mass" and "equality" and grasping "three conservation" (elements, atoms and mass). We should not only correctly understand double bases, but also use them. The so-called "chemical terms" refer to some chemical terms commonly used in the process of communication, description and expression of material changes in chemical science, such as element symbols, chemical formulas, chemical equations and so on. , to master, flexible use.
Second, according to the structure, understand the material properties.
The object of chemical research is matter. The composition and structure of matter determine the nature of matter, which restricts the way of existence, preparation and use of matter. Therefore, when studying the properties of elemental compounds, we should master their structures to understand the properties of substances. For example, when learning oxygen, we must think that oxygen is composed of many oxygen molecules, and one oxygen molecule is composed of two oxygen atoms. There are six electrons in the outermost layer of oxygen atom, which is easy to obtain, so the chemical properties of oxygen are more active. Many substances can change chemically with oxygen at room temperature, and when ignited or heated, a lot of heat will be released. After learning a lot of materials, we should be good at building related materials into a knowledge network, so that knowledge can be organized and grasped firmly.
3. Pay attention to experiments and cultivate hands-on ability.
Chemistry is a natural subject based on experiments. When studying the chemical properties of elemental compounds and conducting qualitative and quantitative analysis such as separation and purification, identification and identification, experiments are generally used to verify or explore and draw conclusions. Therefore, we must attach importance to experiments in order to learn chemistry well. From the simple use of commonly used instruments, the training of basic operation to the design of complex experiments, we should operate carefully and experiment boldly. The design of the experiment should be scientific and reasonable, that is, the device is simple, the operation is convenient, the program is reasonable and the phenomenon is obvious. Teachers should carefully observe and actively think about demonstration experiments in class, and master the principles, steps, phenomena and essentials of experiments. Students' experiments and family experiments arranged in textbooks are the best opportunities to cultivate their practical ability, so they should actively participate and do it seriously.
Fourth, pay attention to learning the law and improve the learning effect.
Chemistry in Grade Three is enlightenment chemistry, with many and miscellaneous basic knowledge points. With the accumulation of knowledge, some students' learning methods are improper, which leads to the decline of chemistry scores and even the weariness of learning. Therefore, to learn chemistry well, we must pay attention to the learning methods and improve the learning effect. Common effective learning methods are:
Comparison of (1) dual knowledge. Such as combination and decomposition, oxidation and reduction.
(2) the network of material properties. For example, related substances containing carbon elements can construct the systematic memory of carbon chain knowledge network.
(3) Classification of similar knowledge. Such as the properties of H2 and carbon monoxide, the equipment for preparing H2 and carbon dioxide, etc.
(4) Dispersed notes of chemical terms. Such as elements, atoms, molecules, valences, chemical formulas and chemical equations. , are scattered to each chapter according to the knowledge ladder for memory.
(5) Cross-knowledge entry point. For example, the entry points of materialized knowledge include density, pressure, buoyancy, gravity, lever principle, electricity and so on. The entry point of biochemical knowledge is photosynthesis, respiration, greenhouse effect, ozone hole and red tide.
5. Timely feedback and fine practice.
After learning each chapter, we should consolidate what we have learned in time, check the weak links in our study, and choose some classic exercises appropriately, but we must overcome the problem of blindly doing problems and falling into the sea of questions. Don't just stare at the topic when doing the problem, try to expand your thinking. For example, when doing calculation questions, pay attention to selecting some good questions related to daily life and combined with inquiry learning. Try to solve as many problems as possible, change or seek the law of solving multiple problems, and cultivate the ability of analyzing, solving and creative learning.
6. Expand your knowledge and read extracurricular books
In order to broaden knowledge horizon, summarize knowledge content, improve problem-solving skills and master problem-solving methods, it is necessary to order a high-quality, accurate and practical synchronous tutoring material. For example, The Journal of Middle School Students' Physics and Chemistry is a good teacher and friend of teaching and learning, and it is worth reading. Learning physics is important, and mastering the methods of learning physics is even more important. The "magic weapon" to learn physics well includes previewing, attending classes, sorting, applying (homework), reviewing and summarizing, etc. A large number of facts show that full preparation before class is the premise of learning physics well; Active and efficient lectures are the key to learning physics well; It is an important way to consolidate, deepen and activate the understanding of physical concepts and transform knowledge into the ability to solve practical problems, thus forming skills. Being good at reviewing, summarizing and summarizing can make the learned knowledge extrapolate; Reading popular science books properly and participating in scientific and technological activities are beneficial supplements to learning physics well; It is the motivation and guarantee to learn physics well to set lofty goals, make full mental preparation and maintain a good learning attitude. Pay attention to learning methods and improve learning ability. Students can start with the following points.
First of all, prepare carefully before class
Preview is an important part of reading textbooks before class and acquiring new knowledge by self-study.
To preview new lessons that have not been taught before class, we should first read the contents of the new lessons carefully, and understand the knowledge system, key points, difficulties, scope and requirements of the teaching materials through reading, analysis and thinking. For physical concepts and laws, we should grasp their core, as well as the differences and connections with other physical concepts and laws, and record the difficult problems that we don't understand in textbooks. If you forget what you have learned, you can make up for it in time when you preview before class, so that class will not be difficult. Then look at the content of the new lesson, find out the connection between knowledge points, master the context of knowledge, and draw a sketch of knowledge structure. At the same time, we should look at typical examples and find ways to solve them. It is necessary to check the reading effect by solving the exercises at the back of the book and summarize the general ideas and steps of solving the problem. Students with ability can also read extracurricular books with relevant contents appropriately.
Second, actively improve the efficiency of lectures
Listening to lectures with previewed questions can improve the efficiency of lectures and make the focus of lectures more prominent. In class, the teacher talked about what he didn't understand in the preview. He was very active, paid special attention and wanted to understand in class. At the same time, you can check the depth and breadth of your understanding of the textbook against the teacher's explanation, learn the teacher's analysis process and thinking method of difficult problems, and also ask questions, question and put forward your own views. In this way, after listening to the class, we can not only grasp the key points of knowledge, break through the difficulties and grasp the key points, but also better grasp the teachers' ideas and methods of analyzing and solving problems, and further improve their learning ability.
Third, organize your study notes regularly.
In the process of learning, through reviewing what you have learned and comparing preview notes, lecture notes, homework, standard tests, textbooks and reference books, your knowledge can reach a systematic, complete and highly summarized level. Study notes should be concise, easy to read, clear at a glance, in line with their own characteristics. Do it regularly according to the system of knowledge itself, and sort out and summarize the study notes in order to systematize the knowledge. Save the results of these thoughts in time, and when you review later, you can quickly return to the height you have reached. If you trust your memory and don't take notes while studying, you will often forget when to use it. What a pity!
Fourth, do your homework in time.
Homework is an indispensable link to learn physics knowledge well, and it is the basic method to master knowledge and skilled skills. In the usual preview, check your preview effect with the exercises in the book, and do one more question after class to analyze the optimal solution. Choose the self-test of extracurricular exercises in chapter review and give timely feedback. Therefore, doing homework carefully can deepen the understanding of what you have learned, find the weak links in knowledge and consciously strengthen them, gradually cultivate your ability to analyze and solve problems, and gradually establish confidence in solving practical problems.
To do homework well, we must first carefully examine the questions, find out the physical process described in the questions, and make clear the conditions given in the questions and the problems to be solved; According to the physical phenomenon and process stated in the question, according to the physical knowledge learned, choose the physical concepts and laws to be used in solving the problem; Establish mathematical relations through calm thinking or analytical reasoning; With the help of mathematical tools, the units of various physical quantities should be unified into the international system of units when solving; Finally, the answers must be verified and discussed to check whether the laws used are correct, whether the physical units appearing in the operation are consistent, whether the answers are correct and realistic, whether the physical meaning is clear, whether the operation process is rigorous, and whether there are other solutions. Only by verifying the answers and reviewing the problem-solving process can we firmly grasp the knowledge, be familiar with various problem-solving ideas and methods, and improve the problem-solving ability.
Review, summary and improvement of verbs (abbreviation of verb)
If you don't review the knowledge you have learned and the exercises you have done in time, and don't summarize them, it will easily lead to the fragmentation of knowledge and the tendency to learn physics in isolation and mechanically. The result must be a large piece of physical content, a lot of laws and formulas, but the specific process is not clear, and the relationship between physical quantities in the formula is not well understood. We can't focus on the overall situation and use physical concepts and laws flexibly to solve specific problems. So review and summarize in time after class. After-class review should not only organize notes, complete homework after each class, but also review chapters. We should always find out the essence, internal relations and the process of change and development of things through comparison and identification, and summarize them in time to form systematic knowledge. Through analysis, comparison, induction and summary, we can make knowledge coherent and vertical and horizontal, and deepen our understanding of physical concepts and laws from the causal relationship and development of physical quantities. This can not only consolidate and deepen the knowledge learned, but also improve the ability of induction and summary.
Sixth, make psychological preparations and adjust the learning mentality.
In the first class of studying physics, the teacher will talk about the difficulty of physics learning. Before studying physics, I heard senior students say that physics teaching is difficult. Therefore, most students have some abnormal learning mentality when studying physics.
It is true that physics is difficult to learn, but it is by no means bad. As long as you study according to the characteristics of physics, do as mentioned above, understand and pay attention to thinking about the physical process, don't memorize, often do things, often use your head to think, and don't ask your classmates or teachers whenever you encounter problems. If you want to find a suitable learning method and have fun in learning, you can cultivate your interest in learning physics. For example, when a student illustrates his learning ability, he makes up a jingle: "Four fixed points are action points, directions, scales and lengths, and two marks are arrows, values and units." With the development of modern society, physics plays an inestimable role. Students should take the rejuvenation of China as their own responsibility, take learning physics well to serve the motherland as their internal motivation, and realize their sense of responsibility in learning and the sense of mission in building the motherland, so as to study spontaneously, actively and actively, and will certainly learn physics well. How to learn physics well
Learning physics is important, and mastering the methods of learning physics is even more important. The "magic weapon" to learn physics well includes previewing, attending classes, sorting, applying (homework), reviewing and summarizing, etc. A large number of facts show that full preparation before class is the premise of learning physics well; Active and efficient lectures are the key to learning physics well; It is an important way to consolidate, deepen and activate the understanding of physical concepts and transform knowledge into the ability to solve practical problems, thus forming skills. Being good at reviewing, summarizing and summarizing can make the learned knowledge extrapolate; Reading popular science books properly and participating in scientific and technological activities are beneficial supplements to learning physics well; It is the motivation and guarantee to learn physics well to set lofty goals, make full mental preparation and maintain a good learning attitude. Pay attention to learning methods and improve learning ability. Students can start with the following points.
First of all, prepare carefully before class
Preview is an important part of reading textbooks before class and acquiring new knowledge by self-study.
To preview new lessons that have not been taught before class, we should first read the contents of the new lessons carefully, and understand the knowledge system, key points, difficulties, scope and requirements of the teaching materials through reading, analysis and thinking. For physical concepts and laws, we should grasp their core, as well as the differences and connections with other physical concepts and laws, and record the difficult problems that we don't understand in textbooks. If you forget what you have learned, you can make up for it in time when you preview before class, so that class will not be difficult. Then look at the content of the new lesson, find out the connection between knowledge points, master the context of knowledge, and draw a sketch of knowledge structure. At the same time, we should look at typical examples and find ways to solve them. It is necessary to check the reading effect by solving the exercises at the back of the book and summarize the general ideas and steps of solving the problem. Students with ability can also read extracurricular books with relevant contents appropriately.
Second, actively improve the efficiency of lectures
Listening to lectures with previewed questions can improve the efficiency of lectures and make the focus of lectures more prominent. In class, the teacher talked about what he didn't understand in the preview. He was very active, paid special attention and wanted to understand in class. At the same time, you can check the depth and breadth of your understanding of the textbook against the teacher's explanation, learn the teacher's analysis process and thinking method of difficult problems, and also ask questions, question and put forward your own views. In this way, after listening to the class, we can not only grasp the key points of knowledge, break through the difficulties and grasp the key points, but also better grasp the teachers' ideas and methods of analyzing and solving problems, and further improve their learning ability.
Third, organize your study notes regularly.
In the process of learning, through reviewing what you have learned and comparing preview notes, lecture notes, homework, standard tests, textbooks and reference books, your knowledge can reach a systematic, complete and highly summarized level. Study notes should be concise, easy to read, clear at a glance, in line with their own characteristics. Do it regularly according to the system of knowledge itself, and sort out and summarize the study notes in order to systematize the knowledge. Save the results of these thoughts in time, and when you review later, you can quickly return to the height you have reached. If you trust your memory and don't take notes while studying, you will often forget when to use it. What a pity!
Fourth, do your homework in time.
Homework is an indispensable link to learn physics knowledge well, and it is the basic method to master knowledge and skilled skills. In the usual preview, check your preview effect with the exercises in the book, and do one more question after class to analyze the optimal solution. Choose the self-test of extracurricular exercises in chapter review and give timely feedback. Therefore, doing homework carefully can deepen the understanding of what you have learned, find the weak links in knowledge and consciously strengthen them, gradually cultivate your ability to analyze and solve problems, and gradually establish confidence in solving practical problems.
To do homework well, we must first carefully examine the questions, find out the physical process described in the questions, and make clear the conditions given in the questions and the problems to be solved; According to the physical phenomenon and process stated in the question, according to the physical knowledge learned, choose the physical concepts and laws to be used in solving the problem; Establish mathematical relations through calm thinking or analytical reasoning; With the help of mathematical tools, the units of various physical quantities should be unified into the international system of units when solving; Finally, the answers must be verified and discussed to check whether the laws used are correct, whether the physical units appearing in the operation are consistent, whether the answers are correct and realistic, whether the physical meaning is clear, whether the operation process is rigorous, and whether there are other solutions. Only by verifying the answers and reviewing the problem-solving process can we firmly grasp the knowledge, be familiar with various problem-solving ideas and methods, and improve the problem-solving ability.
Review, summary and improvement of verbs (abbreviation of verb)
If you don't review the knowledge you have learned and the exercises you have done in time, and don't summarize them, it will easily lead to the fragmentation of knowledge and the tendency to learn physics in isolation and mechanically. The result must be a large piece of physical content, a lot of laws and formulas, but the specific process is not clear, and the relationship between physical quantities in the formula is not well understood. We can't focus on the overall situation and use physical concepts and laws flexibly to solve specific problems. So review and summarize in time after class. After-class review should not only organize notes, complete homework after each class, but also review chapters. We should always find out the essence, internal relations and the process of change and development of things through comparison and identification, and summarize them in time to form systematic knowledge. Through analysis, comparison, induction and summary, we can make knowledge coherent and vertical and horizontal, and deepen our understanding of physical concepts and laws from the causal relationship and development of physical quantities. This can not only consolidate and deepen the knowledge learned, but also improve the ability of induction and summary.
Sixth, make psychological preparations and adjust the learning mentality.
In the first class of studying physics, the teacher will talk about the difficulty of physics learning. Before studying physics, I heard senior students say that physics teaching is difficult. Therefore, most students have some abnormal learning mentality when studying physics, which is mainly manifested in the following aspects: (1) nervousness and fear. The difficulty in learning physics left a deep impression on their minds. They are afraid of taking physics classes, doing physics homework, asking questions in class, talking to teachers individually, doing experiments and doing things. They try their best to avoid studying. Their timid heartstrings are always tense, and they cannot combine theory with practice and apply what they have learned to practice. Over time, the more afraid they are of learning, the harder it becomes. (2) the psychology of "eating a fat man in one bite". I want to improve my grades, but after a period of hard work, my grades haven't improved much, and then I have the wrong psychology of "I can't learn well anyway" and "I'm not cut out for learning".
It is true that physics is difficult to learn, but it is by no means bad. As long as you study according to the characteristics of physics, do as mentioned above, understand and pay attention to thinking about the physical process, don't memorize, often do it, often use your head to think, and don't ask your classmates or teachers whenever you encounter problems. We should find out methods suitable for self-study and have fun in learning, so as to cultivate our interest in learning physics. For example, when a student illustrates his learning ability, he makes up a jingle: "Four fixed points are action points, directions, scales and lengths, and two marks are arrows, values and units." With the development of modern society, physics plays an inestimable role. Students should take the rejuvenation of China as their own responsibility, learn physics well and serve the motherland as their internal motivation, realize the sense of responsibility in learning and the sense of mission in building the motherland, so as to learn physics knowledge and mathematics spontaneously, actively and actively. It is one of the compulsory subjects, so they should study mathematics seriously from the first day of junior high school. So, how can we learn math well? Introduce several methods for your reference:
First, pay attention to the lecture in class and review it in time after class.
Second, do more questions appropriately and develop good problem-solving habits.
Third, adjust the mentality and treat the exam correctly.
First of all, we should focus on basic knowledge, basic skills and basic methods, because most of the exams are basic topics. For those difficult and comprehensive topics, we should seriously think about them, try our best to sort them out, and then summarize them after finishing the questions. Adjust your mentality, let yourself calm down at any time, think in an orderly way, and overcome impetuous emotions. In particular, we should have confidence in ourselves and always encourage ourselves. No one can beat me except yourself. If you don't beat yourself, no one can beat my pride.
Be prepared before the exam, practice routine questions, spread your own ideas, and avoid improving the speed of solving problems on the premise of ensuring the correct rate before the exam. For some easy basic questions, you should have a 12 grasp and get full marks; For some difficult questions, you should also try to score, learn to score hard in the exam, and make your level normal or even extraordinary.
It can be seen that if you want to learn mathematics well, you must find a suitable learning method, understand the characteristics of mathematics and let yourself enter the vast world of mathematics.
Answer one, get one free:
How to be the first in learning?
Learning first, every student can do it. There are two main reasons for not getting the first place in the exam: one is that the lifestyle and learning methods are incorrect, and the other is that there is no strong perseverance. Perseverance is the first important thing here, and learning methods are the second important. In real life, more than 70% of students in China are the first, but they are not the most persistent, or their learning methods and lifestyles are not the best. They may be number one today, but they won't be tomorrow. In other words, if you study and exercise according to the first method, you will generally surpass the existing first method.
Is it necessary to work hard for the brilliant first place? It is difficult because "cultivating strong perseverance" is the most difficult job in the world. Only with strong perseverance can we become the first. Of course, the correct lifestyle and learning methods are also particularly important. What is strong perseverance here? As long as you can follow the following requirements and keep records every day for one semester, one year and three years, then your perseverance is enough to meet the first requirement. I'm afraid there will be a gap between you in this exercise. Wind and rain, mood, illness, housework and so on are not reasons for you to stop exercising. You should remember that studying hard is the most important thing in your student life, and nothing is more important than it. In addition to strong perseverance, correct learning methods and lifestyles are also important.
Everyone can get the first place in the exam. The students who got the first place in the exam before are not necessarily smarter than you, and there are not necessarily more brain cells than you. Didn't Edison say that "genius is 99% perspiration and 1% inspiration"? ! So you have to go through the psychological barrier first, that is to say, you have to firmly believe that you will succeed, and you will definitely surpass the existing first, including yourself who is now the first.
Second, you should exercise every day. Without good health, you can't do anything well, even if you do it occasionally, it won't last long. Exercise for about 30 minutes every day and insist on it every day. There are various forms of exercise, such as running, playing table tennis, playing basketball, push-ups, standing long jump and so on. Some students have great face. They can't run when they see others. They are afraid to run by themselves. If others see it, it will be embarrassing. That is wrong. What is really embarrassing is that they have worked hard for several years and failed to get into college, but they have to be laid off after several years of college. If you can't support yourself in the future, it will be really embarrassing.
Third, we should have a correct attitude towards learning. Before each class, you must preview what the teacher wants to say, mark what you don't understand and can't, and listen carefully when the teacher speaks. If the teacher doesn't know after speaking, be sure to ask the teacher again until you understand. When a question can't be answered after two or three times, ordinary students are embarrassed to ask. Don't do this. Teachers like the character of "Don't give up if you don't know". Listen carefully, think carefully and take notes in class. When taking notes, you must be clear, because the value of notes is more than that of textbooks, and future review mainly depends on it.
The first thing after class is not to do homework, but to learn the knowledge points in notes and textbooks first. The contents of notes must be memorized. This will greatly improve the speed of your homework, which is often said, "sharpen your knife and don't miss the woodcutter." When you do your homework, you should think independently. If you really can't solve the problem, discuss it with your classmates and teachers. When you ask your classmates, don't ask what the result of this problem is, but ask "how to do this problem?" "What is the title of this road?"
Fourth, correctly face mistakes and failures. When you don't learn some knowledge in class, when you make mistakes in practice or do poorly in exams, you should neither complain nor be discouraged. You have to face up to the reality that you don't want. It doesn't matter if you haven't studied it. Write this knowledge in your memo, then ask your classmates and teachers, and then write the correct explanation or result on other pages. The same is true of wrong questions. Aren't there many wrong questions when you fail the exam? The correct way is to copy the original question into the memo, learn the correct method, and write the practice and results on other pages. If you can pay attention to the matters needing attention in doing this kind of problems, your learning efficiency will be improved by 30%-60%. The reason why the answers or explanations are written on other pages is to think about the understanding and explanation of the knowledge points next time you look at the knowledge points or wrong questions, and then practice the exercises and answers of the questions. Mistakes and failures are not terrible. As long as you can face them squarely, everything will be the driving force for your success.
Fifth, bookkeeping. You must keep an account book for your study. Write it down when you do well, and write it down when you do wrong (note: only the title of today's mistake is "memo" ×× page× title). When did you learn English after class and keep good records? When did you learn physics? Write it down. Record every minute of exercise and study in life in your own account book, and record the correct number, wrong number and wrong number (page number on the memo) in the account book one by one. Write down all the knowledge you learn every day in your account book, so that you can check whether you really have mastered these knowledge points tomorrow and the day after tomorrow. You must learn and master what you have spent several days in books.
The ledger records every detail of your study and exercise. In this way, it is recorded that in school life, there are about 32 pages of paper every day, and there may be two pages of 32 papers when you are not in school. Don't stop on weekdays and holidays. Accumulate your account day after day, which is the first way you take.
Although in today's quality education, the school is not ranked second, but learning achievement is the goal of our efforts, the necessary condition for us to enter a higher-level school, and the capital for us to do everything well after entering the society. Students, strive for the first place. If you follow the above requirements year after year, you are the first.
If everyone does this, even if you can't win the first place, you must be an excellent student in China, because most students in China don't have such perseverance, such a good learning method and lifestyle. Students, fight for a better tomorrow!
First of all, you should be interested in learning mathematics. More than 2,000 years ago, Confucius said, "Knowing is not as good as being kind, and being kind is not as good as being happy." The "good" and "happy" here are willing to learn, love learning and have interest in learning. Einstein, a world-famous great scientist and founder of the theory of relativity, also said: "In school and life, the most important motivation for work is the fun at work." The fun of learning lies in the initiative and enthusiasm of learning. We often see some students burying themselves in reading and thinking for a long time in order to find a mathematical concept. In order to solve a math problem, forget all about eating and sleeping. First of all, because they are interested in mathematics study and research, it is hard to imagine that they are not interested in mathematics. People who have a headache when they see math problems can learn math well. To cultivate their interest in learning mathematics, we must first understand the importance of learning mathematics. Mathematics, known as the queen of science, is an essential tool for learning and applying scientific knowledge. It can be said that without mathematics, it is impossible to learn other subjects well; Secondly, we should have the spirit of learning and the tenacity to learn well. In the process of in-depth study, we can appreciate the mystery of mathematics and the joy of learning mathematics to succeed. If you persist for a long time, you will naturally have a strong interest in mathematics and arouse your high consciousness and enthusiasm in learning mathematics well.
Knowledge is the foundation of ability, so we should learn basic knowledge well. The learning of basic mathematics knowledge includes three aspects: concept learning, theorem and formula learning and problem-solving learning. To learn a mathematical concept, we should be good at grasping its essential attribute, which is different from other concepts; To learn theorem formulas, we should firmly grasp the internal relationship of theorem directions, grasp the applicable scope and types of theorem formulas, and skillfully use these theorem formulas. Solving mathematical problems is actually solving contradictions on the basis of mastering concepts and theorems and formulas, and completing the transformation from "unknown" to "known". We should focus on learning various transformation methods and cultivate transformation ability. In short, in the study of basic mathematics knowledge, we should pay attention to grasping the overall essence of knowledge, understanding its laws and essence, forming a closely related overall understanding system, and promoting the mutual migration and transformation among various forms. At the same time, we should also pay attention to people's ways, means and strategies to solve problems in the process of knowledge formation, and take mathematical ideas and methods as guidance everywhere, which is what we want to learn most when learning knowledge.
Mathematical thinking method is a bridge to transform knowledge and skills into abilities, and it is a powerful pillar in mathematical structure. In middle school mathematics textbooks, there are ideas such as function, equation, combination of numbers and shapes, logical division, equivalent transformation, analogy induction and so on. This paper introduces the matching method, elimination method, method of substitution, undetermined coefficient method, reduction to absurdity, mathematical induction and so on. While learning math well, we should also learn from others.
In mathematics learning, we should pay special attention to the cultivation of the ability to solve practical problems by using mathematical knowledge. The socialization trend of mathematics makes the slogan of "popular mathematics" sweep the world. Some people think that future jobs are for those who are ready to study mathematics. "Preparing for mathematics" here not only refers to understanding mathematical theory, but also refers to learning mathematical ideas and using mathematical knowledge flexibly to solve practical problems. To cultivate mathematics application ability, we must first form the habit of mathematizing practical problems; Secondly, we should master the general method of mathematizing practical problems, that is, the method of establishing mathematical models. At the same time, we should strengthen the connection between mathematics and other disciplines. In addition to the connection with traditional disciplines such as physics and chemistry, we can also properly understand the application of mathematics in economy, management and industry.