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Learning methods of mathematics and English
Learning English well requires not only hard work, but also intelligence. Recalling my childhood experience of learning English, combined with the disadvantages of students learning English now, I think students in China need to pay special attention to five principles if they want to learn English well.

First, the principle of centralization

I found that most students in China's education system need to go through a painful process to make a big leap after mastering grammar rules and a certain vocabulary. English education in China pays too much attention to grammar and likes to pick up some strange usages, but the real English structure, vocabulary and reading are not paid enough attention. Therefore, you need to master grammar rules skillfully and concentrate on reading and learning for a period of time before you can feel the feeling of being suddenly enlightened. This is why there were many English speakers in China during the Republic of China, such as Qian Zhongshu and Hu Shi. Because English teaching at that time was mainly based on reading, students naturally realized grammar and other rules in a lot of reading. Therefore, it is suggested that students make a plan that suits them during the summer vacation, concentrate on learning English and improve their English test-taking and application ability.

Second, the principle of initiative

When preparing for the exam, we should pay attention to avoid the negative attitude towards the exam and replace it with a positive attitude. Read the article you understand carefully. It is necessary to summarize its text structure, sentence structure and word usage. You can extract sentences, structures and words that you can't understand from the article and read them again and again until you feel that these expressions are very natural. The process of learning English is the process of constantly adding new words and internalizing pure English expressions into your own perceptual feelings. When learning English, you must not hold the thinking of learning science, only analyze the structure and logical relationship without reading books. The correct attitude towards the exam should be: it is a good opportunity to improve English language sense and application ability. Therefore, the preparation process is not a passive mock exam, but an active appreciation, experience and summary, to find out their own shortcomings and improve their abilities.

Third, the three-dimensional principle

Any language is a three-dimensional system of sounds, words, words, sentences and chapters. In the process of improving English quickly, we should pay attention to listening, vocabulary, syntax and reading. The improvement of listening will improve students' sense of language to a certain extent, and then improve their reading ability, and vice versa. Therefore, we must make a scientific and reasonable plan, make full use of the concentrated time in summer vacation and improve our English ability in an all-round way.

Fourth, the principle of pertinence.

Find out your weak links and focus on learning. I think vocabulary and syntax are very important in English learning. And both of them need to be achieved through reading. Therefore, it is very important to master vocabulary and syntax in reading. If it is a hearing problem, you need to practice your listening ability repeatedly. The principle of pertinence is very effective when students break through vocabulary and syntax.

Five, the principle of repetition

Language is a skill that practice makes perfect. You must make sure that the words and syntax you master are familiar to you, not a rough and superficial understanding. When I was studying GRE, I made a rule for myself: when memorizing words, I set myself a time, such as 1 second. If I can't reply to a word within 1 second, I don't think I have mastered it yet, and I will write it down as a new word. I do the same for syntax: if I can't interpret a sentence structure quickly (maybe 3 seconds), I think it's a syntactic knot.

If it is unfamiliar to me, I will record this structure, read it well and make good use of it. The advantage of this is that you can ensure that the vocabulary and syntax you have mastered can still be easily played in the most tense state during the exam.

In short, we need to find a suitable way to learn English with appreciation and enjoyment. It is difficult to improve English ability with a negative test-taking mentality. I hope all students can find their own English learning methods as soon as possible and find the fun of learning English.

Mathematics learning method

Here we talk about the methods of mathematics learning. This is what we put forward according to the characteristics of mathematics subject by applying foreign fast learning methods. Because of the difference between algebra learning method and geometry learning method, we discuss it separately.

First, algebra learning method.

1, copy the title, browse and set the target.

2. Read and record the key contents.

3. Try an example.

4. Do exercises quickly and summarize the questions.

5. Memories summary

Second, the four steps of geometry learning.

1.① Write the title and browse the teaching materials.

(2) self-study, write the directory.

2.① Read the textbook according to the catalogue.

② Self-study geometric concepts and theorems.

3.① Read the examples and form ideas.

(2) The process of writing examples of solving problems.

4.① Do exercises quickly.

② Summarize the problem-solving methods.

3. Learning methods of mathematical concepts.

There are many concepts in mathematics. How to make students master the concept correctly should explain what kind of process is needed and to what extent. Mathematical concept is a form of thinking that reflects the essential attributes of mathematical objects. Its definition is descriptive, indicating the extension of alien species, and there is a way to add concepts to categories. A mathematical concept needs to remember the name, describe the essential attributes, realize the scope involved, and use the concept to make accurate judgments. These questions are not required by teachers. Without learning methods, it is difficult for students to study regularly.

Let's summarize the learning methods of mathematical concepts:

1. Read concepts and remember names or symbols.

2. Recite the definition and master the characteristics.

3. Give two positive and negative examples to understand the scope of conceptual reflection.

4. Practice and judge accurately.

Fourth, the learning method of learning formula

The formula is abstract, and the letters in the formula represent infinite numbers in a certain range. Some students can master the formula in a short time, while others have to experience it repeatedly to jump out of the ever-changing digital relationship. Teachers should clearly tell students the steps needed in the process of learning formulas, so that students can master formulas quickly and smoothly.

The learning method of the mathematical formula we introduced is:

1. Write the formula and remember the relationship between the letters in the formula.

2. Understand the ins and outs of the formula and master the derivation process.

3. Check the formula with numbers and experience the law embodied in the formula in the process of concretization.

4. Transform the formula and understand its different forms.

5. Imagine the letters in the formula as an abstract framework, so that the formula can be used freely.

Learning method of verb (verb abbreviation) mathematical theorem

A definite reason consists of two parts: conditions and conclusions. This theorem must be proved. Proving process is a bridge connecting conditions and conclusions, and learning theorem is to better apply it to solve various problems.

Let's summarize the learning methods of mathematical theorems:

1, back theorem.

2. Conditions and conclusions of distinguishing theorem.

3. Understand the proof process of theorem.

4. Prove related problems by applying theorems.

5. Understand the internal relations between theorems and related theorems and concepts.

Some theorems contain formulas, such as Vieta Theorem, Pythagorean Theorem and Sine Theorem, and their learning should be combined with the learning method of the formula with the same sign.

Sixth, the learning method of geometric proof for beginners.

In the second semester of senior one, students have just started to learn solid geometry, and students always find it difficult to get started. Many old teachers agree with the following methods, which can be carried out in class or taught by themselves.

1, look at the topic and draw a picture. (Look, write)

2. Examine the questions to find ideas (listen to the teacher)

3. Read the proof process in the book.

4. Recall and write the proof process.

7. The reduction method to improve the ability of geometric proof.

After mastering the basic knowledge and methods of geometric proof, how to improve the ability of geometric proof on the basis of fluent and accurate expression of the proof process? It is necessary to accumulate the proof ideas of various geometric problems and know some proof skills. In this way, we can achieve the above goal by focusing on the teacher's explanation or reading some geometric proof questions.

Reduction is a method to classify the unknown into the known. When we encounter a new geometric proof problem, we need to pay attention to its question type and find the key steps, and it will be over when it falls into the known question type. At this time, the most important thing is to remember the steps of transformation and the idea of proving the problem, and no longer pay attention to the detailed expression process.

The reduction method to improve the ability of geometric proof;

1. Review the questions, find out the known conditions and verify the conclusions.

2. Draw a picture as an auxiliary line and find a way to prove the problem.

3. Record the key steps of the method to prove the problem.

4. Summarize the idea of proof, so that the process of proof can form a clear impression in the brain.

Introduction to Chinese learning methods

Chinese is an important member of liberal arts and occupies an important position in the second interview.

Today, we will go boating in Wenhai and discuss Chinese-related learning methods.

Chinese is the most important communication tool, an important part of human culture, the foundation of basic disciplines and one of the disciplines most closely related to our lives. Learning this subject well is very important for our lifelong study and life. Next, I will introduce three Chinese learning methods to my classmates, hoping to help you.

First, be good at using association and imagination.

Association and imagination are always accompanied by learning Chinese, and listening, speaking, reading and writing are inseparable from association and imagination. For example, when we study Zhu Ziqing's Spring, we can think of the poems we have learned, such as "The sky is crisp like a drizzle, and the grass is like a water chestnut nearby", "Several early birds compete to warm the trees, and whose new swallow pecks at the spring mud", and we can also reproduce the contents and scenes of the article in our minds through imagination. Through association and imagination, we can enrich the learning content, deepen the understanding of the article and even process the article.

Second, actively participate in classroom activities

Students are the main body of classroom teaching, and teachers only guide you to learn, discover, think and discuss. It is necessary to change the passive learning style in the past, think positively, take the initiative to discover and boldly question. In class, if we don't want to use our brains and wait for the teacher's answer, there will be no real gain. Chernyshevski said, "A teacher is an opponent, not an example, or he will never come out of the basket.". An article, the teacher has the teacher's understanding. Teachers' understanding is integrated with teachers' knowledge accumulation and life experience, which is the understanding of adults. The teacher's words, the teacher's words, are commonplace. We students can and should have our own understanding, which incorporates our own knowledge and accumulated life experience. It is the understanding of minors, maybe our own understanding is better. If we dare to express our opinions in class, the teacher must be very happy, because he hopes to exchange ideas with us and collide with them. Actively participating in classroom activities can not only activate our thinking, but also exercise our various abilities. Therefore, I suggest that students think more, ask more questions and design more to make classroom activities colorful. Active, active and active people are willing to move, while inactive people live when they move.

Third, develop the habit of self-control learning.

Bacon said:' Habit is really a tenacious force, which can dominate life. Therefore, it is very important to develop good study habits.

Self-controlled learning habit refers to the learning behavior that is consolidated and becomes an internal need due to repeated practice in self-controlled learning activities. It is a behavioral tendency that can learn automatically without any will effort and supervision in certain situations. Although it belongs to non-intellectual factors and does not directly participate in intellectual activities, it has power and regulation efficiency in intellectual activities and belongs to the category of will activities. Chinese learning should have this habit in particular, such as listening carefully, standardizing homework, completing homework independently, making study plans, reading more books, remembering more, thinking more, practicing calligraphy diligently and reading more newspapers.

There are many ways to learn Chinese. I only introduce these three methods to my classmates. I hope you can master these three methods and come up with more and better methods. In a sense, mastering methods is more important than mastering knowledge: with good methods and diligence, are you afraid of not learning knowledge? Therefore, students must not ignore methods. But, finally, I would like to add that not every method is effective for you. To learn Chinese well, you have to find the method that suits you best.