Many people are afraid of math, probably because math problems involve a wide range. Personally, I think it's not without traces. Let me briefly talk about some of my experiences in learning mathematics.
First of all, don't be afraid of math, learn to like it. Turn boring words and numbers into your favorite patterns, and learn to find inspiration for doing problems from numbers. This is actually the same as filling in a number according to the law of numbers before. If you do more, you can quickly think of what kind of law should be. Therefore, we should try our best to enjoy the happiness of mathematical symbols in the pen and the joy of seeing the clouds after the problem is solved.
Secondly, mathematics is not a good subject that can be learned well only by interest. The mastery of any knowledge point is inseparable from the tempering of the topic. Just understanding what knowledge points are is completely ineffective. Only by finding the point of convergence between you and knowledge in the topic can we talk about how to apply it. After finishing the topic, think carefully about why you came up with this idea, whether it is better than the answer, or whether there are other ways. Don't miss what you can think of, write it in a conspicuous place immediately, and then communicate with your classmates and teachers. Also, be good at discovering the essence of the topic. The so-called * * * is naturally available in a hundred miles. Through * * *, you can naturally find the application method of knowledge points better, and you won't feel strange when you see similar topics in the future.
Moreover, mathematics itself is a complex system, and it is impossible to learn everything. You should know how to connect with your existing knowledge. No matter how many knowledge points are not isolated, they are all internally related. A very simple example, the combination of numbers and shapes is sometimes much faster and clearer than solving problems in pure algebra, that is, finding the connection between figures and numbers. So we should be good at stringing these points together and combining them flexibly. We can master these from the method of doing the problem. A topic, we should think about, what conditions are needed to get this result, and what preconditions are needed to get this condition. If you think too much, you will naturally think of these knowledge points for organic processing. After proficiency, we can easily master these knowledge points by virtue of the sense of the topic.
Also, be willing to delve into difficult topics, even national competitions. We can get a lot of things from these questions that we can't usually learn. Moreover, doing these questions can enhance our ability to analyze complex problems. If you do more, you can refresh and deepen your existing knowledge. In this way, when doing relatively simple questions, it will be clear at a glance. This condescending feeling can enhance your interest and confidence in learning mathematics.
Finally, be sure to pay attention. Mathematics is a very rigorous science, and any mistake may lead to total loss. This requires us to standardize the writing process at ordinary times and be as strict with ourselves as possible. If you feel that your writing process is not good, you might as well look at the answers of those college entrance examinations, their main points and some things that need attention. At first, I imitated it myself. After mastering it, I wondered if it could be simpler. Try to answer the questions from the scoring point, so that you can get twice the result with half the effort. As for how to look at the score, this requires a summary and induction of the topic at ordinary times. If you think too much, you can see it naturally.
The above is just my personal view on mathematics, not the best way. I hope you can get some after reference and then find out your own set of ideas.
Science, any mistake may lead to total loss. This requires us to standardize the writing process at ordinary times and be as strict with ourselves as possible. If you feel that your writing process is not good, you might as well look at the answers of those college entrance examinations, their main points and some things that need attention. At first, I imitated it myself. After mastering it, I wondered if it could be simpler. Try to answer the questions from the scoring point, so that you can get twice the result with half the effort. As for how to look at the score, this requires a summary and induction of the topic at ordinary times. If you think too much, you can see it naturally.
The above is just my personal view on mathematics, not the best way. I hope you can get some after reference and then find out your own set of ideas.
2. Fatal Mathematics This book chooses a topic to write a math essay-
This book was written by Professor Wang Yusheng, General Counsel of Science. He is a famous scientist, mathematician and expert in science education in China. He has won the National Book Award, the National Outstanding Science and Technology International Progress Award, the National Science and Technology Advanced Person, the International Youth Social Education Special Award and Special Allowance.
He is also the former director and researcher of China Science and Technology, doctor, professor and doctoral supervisor of China Academy of Sciences, and vice chairman of China Youth Science and Technology Counselors Association. This book is still included in the classic mathematics series.
This book consists of 16 interesting short stories. Although it's interesting, it's also a bit difficult.
For example, all numbers have 16 zeros. It's really hard.
Sometimes I insert some interesting pictures and stories, but these interesting stories contain interesting math problems and knowledge, which completely turn boring math into fun, so some knowledge is hard to say, but I will try my best to do it. The ancients said that a drop of water can penetrate a stone and everything will come naturally, so I will try my best to solve all the problems.
3. Are there any interesting articles about math, sum and difference?
One day, Xiao Ming said to some children, "Please name two numbers at will, and I'll work out their sum and subtract their difference!" " "
"Really?" Xiaoguang asked in surprise.
"Of course, please ask questions!" Xiao Ming said confidently.
So, Xiaoguang wrote two questions:
(348+256)-(348—256)
(7564+3 125)-(7564-3 125)
As soon as Xiaoguang finished writing the second question, Xiaoming immediately said that the scores of the two questions were 5 12 and 6250 respectively. Add them together and the result is the same as Xiao Ming.
Xiaolan wanted to understand the mystery of Xiao Ming's calculation, so she said the following four groups of numbers: 47 and 23, 400 and 278, 120 and 80, 16840 and 3020. As a result, Xiao Ming always tells the answer quickly.
At this time, Xiao Ming asked Xiaolan, "Did you find the law?"
"Haven't found it. However, I think the key lies in the smaller of these two numbers. " Xiaolan replied.
"yes! You will understand by studying the relationship between numbers and smaller numbers! "
"I see, the number is twice the smaller number!" Xiaoguang said excitedly.
Xiao Ming explains to you: when we subtract the difference between two numbers from the sum of two numbers, we subtract a part of the larger number with more decimals from the sum of two numbers, and the result is the sum of two smaller numbers, that is, twice the smaller number. "
"So that's it!" Everyone understands this.
Mathematics extracurricular reading book 8
In addition, there are many in this network industry.
4. Write your own experience and methods with the theme of 200-word mathematical composition. Every 100 words makes me dizzy. Just refer to what I wrote ~
Decimal multiplication: I recently learned a new knowledge-decimal multiplication. I am here to sum up what I have learned. We have learned integer multiplication before. What is the difference between this and decimal multiplication? After reading carefully and doing some exercises, I found that the basic calculation methods of decimal multiplication and integer multiplication are the same, and their difference lies in the calculation of decimal part. When calculating, we can first calculate the formula as integer multiplication, but remember to add up the decimal places of the multiplied numbers. For example, if the first number of multiplication operation is two decimal places and the second number has one decimal place after the decimal point, the calculation result is three decimal places. You need to practice more in the future to master fractional multiplication more skillfully.
Decimal division: With integer division as the basis, it will not be too difficult for us to learn decimal division, mainly to learn how to convert the calculation of integer division into decimal division. This is similar to decimal multiplication. We can calculate by integer division without looking at the decimal point. Pay attention to the calculation results. Dividend and divisor decimal places can be cancelled. For example, the dividend is three digits after the decimal point, and the divisor is one digit after the decimal point, which means that the decimal points of dividend and divisor are shifted to the right by one digit. The decimal point position of the division result, like the dividend, also needs more calculation.
5. The first volume of Grade 6 is math diary, the theme of any unit. Today is Saturday in math diary, Grade Six. I am at home alone. I woke up at half past eight and immediately jumped out of bed. At this time, my mother called me and told me. It took me five minutes to answer this call. I quickly changed my clothes, brushed my teeth and washed my face.
Then go straight to the table for breakfast. Fifteen minutes later, 15+5=20 (minutes), 8:30+20=8:50 (minutes), 12: 00-8: 50 = 3: 50 (minutes), and it will be noon in three hours and fifty minutes. At this time, I found that there were no noodles, so I took 30 yuan to go to Xinli Shopping Mall to buy noodles. When I arrived at the mall, I saw two kinds of noodles for me to choose from, one was 450g, and the other was 400g, which was 2/3 of the price of the first noodle, 4.5 ÷ 3 = 1.5 (yuan), 1.5*2=3 (yuan). I eat at home alone. It suddenly occurred to me that my mother asked me to buy five shuttlecocks at two yuan each, 5*2= 10 (yuan), 10+3= 13 (yuan) and 30- 13 = 17 (yuan).
Return home,10; In 20 minutes, I prepared two eggs first, and then I watched TV. Time flies to 12:00, so I quickly beat eggs. After 20 minutes, a bowl of steaming noodles is ready. I wolfed down my noodles and then went to bed for a nap.
I took a nap and woke up at four. My parents will be back in two hours. I’m not doing anything right now. Suddenly I saw a pile of unwashed clothes. I immediately rushed over and started washing clothes. I spent five minutes washing a dress. A * * *, with eight clothes. I divided eight clothes into two piles, 8÷2=4 (pieces), and each pile contained four clothes. It took me 8 * * * 5 = 40 minutes to finish washing clothes. I have no choice but to bite the bullet and wash them down.
It's 5 o'clock after washing clothes, 40 minutes after washing clothes, and more than ten minutes after waking up. My parents came back early, saw what I did and praised my ability! The experience of "being a responsible child" is very interesting. It not only strengthens my self-reliance ability, but also teaches me how to manage my parents' finances better with math knowledge.
6. Writing with the puzzle of learning mathematics as the theme has always been one of the most difficult subjects in my opinion. This is because mathematics is extremely regular, but extremely flexible; Mathematics also requires accurate results, which easily leads to poor grades. The present examination questions cleverly hide the knowledge needed in the questions, so that inexperienced students don't know where to start. In view of these characteristics, I think learning mathematics well should start with the following points:
First, prepare well before class and listen carefully in class. These two things complement each other. If you are not prepared before class, you can't really listen carefully. The biggest advantage of previewing before class is that you can know what the teacher is going to say and what you need to pay attention to in class. Instead of being confused and confused in class. Preview before class can make the most efficient use of class time, so that you can absorb more knowledge and experience from the teacher during class, which will get twice the result with half the effort.
Second, we should form a good habit of being careful. The biggest feature of mathematics is that it requires accurate results and requires great care. This is inseparable from good habits at ordinary times. In the process of doing problems at ordinary times, we must be impatient, practical and diligent, and form the study habit of carefully checking every time. You can't rush for success in pursuit of speed. In the end, because a little mistake is wrong, it's all in vain.
Thirdly, there are many formulas and theorems in mathematics, so it is very important to use them flexibly, which requires more practice at ordinary times. As the saying goes, "Practice makes perfect", any student who is good at math is always diligent in study and practice. When you see a strange question in the exam and don't know where to start, but you find that you know this method when you see the answer, it means that you usually don't work hard enough, practice enough, and don't master flexible methods. I think this is a very critical link.
Of course, there are many good methods, such as exchanging learning methods with classmates and teachers, and asking questions if you don't understand, so that everyone's enthusiasm for studying together will be improved and their interest will gradually increase, and naturally they will get good grades. We should guard against arrogance and rashness in learning mathematics, and we should not fantasize about how much our grades can be improved overnight, let alone be swayed by considerations of gain and loss and lose confidence.
7. How to learn math well How to learn math well is thirteen good habits. 1, the habit of listening carefully.
In order to synchronize teaching and learning, teachers require students to concentrate their thoughts in class, listen attentively to the teacher's lectures, listen carefully to the students' speeches, grasp the key points, difficulties and doubts, think while listening, and encourage middle and advanced students to take notes while listening. 2. The habit of positive "thinking".
It is an important guarantee to improve the quality and efficiency of learning to actively think about the questions raised by teachers and classmates and keep yourself in teaching activities. Students' thinking and answering questions are generally required to be well-founded, organized and logical.
With the growth of age, we should gradually infiltrate mathematical ideas such as association, hypothesis and transformation when thinking about problems, and constantly improve the quality and speed of thinking about problems. 3. The habit of "taking exams" seriously.
The ability to examine questions is the comprehensive embodiment of students' various abilities. Teachers should ask students to read the content of the textbook carefully, learn to master the words and correctly understand the content, carefully scrutinize and ponder the key contents such as tips, marginal notes, formulas, rules, charts and so on, and accurately grasp the connotation and extension of each knowledge point.
It is suggested that teachers often carry out special training of "the difference between one word and ten thousand words" to continuously enhance the profoundness and criticism of students' thinking. 4. The habit of "doing" independently.
Practice is an important part and natural continuation of teaching activities, the most basic and frequent independent learning practice of students, and the main way to reflect students' learning situation. Teachers should educate students not to blindly follow the viewpoint of eugenics in their understanding of knowledge, not to be influenced by others, and to easily change their own viewpoints; The use of knowledge does not copy other people's ready-made answers; After-school homework should be completed in good quality, quantity, time and neatly, and the best method should be achieved, and mistakes must be corrected.
5. Be good at asking questions. As the saying goes, "curious children will become great people."
Teachers should actively encourage students to question and ask difficult questions, ask teachers, classmates and parents with knowledge doubts, and strongly encourage students to design their own math problems and communicate with others boldly and actively. This can not only harmonize the relationship between teachers and students, enhance the friendship between students, but also gradually improve students' communication and expression skills. 6. The habit of being brave in "arguing".
Discussion and demonstration are the best thinking media, which can form multi-channel and extensive information exchange between teachers and students and between classmates. Let students express themselves in the debate, inspire each other, exchange gains, increase their talents, and finally unify their understanding of true knowledge.
7. Try to "break" the habit. The innovation ability of a nation is an important embodiment of comprehensive national strength, so the new syllabus emphasizes the importance of cultivating students' innovative consciousness in mathematics teaching.
Teachers should actively encourage students to think without the limitation of conventional ideas, be willing and good at discovering new problems, be able to interpret mathematical propositions from different angles, answer questions in different ways, and creatively operate or make learning tools and models. 8. The habit of "learning" early.
Judging from the cognitive law of primary school students, in order to achieve good academic performance, we must firmly grasp the four basic links of preview, listening to lectures, homework and review. Among them, previewing textbooks before class can help students understand the main points, key points and problems of new knowledge, so as to focus on solving them in class, master the initiative of listening to lectures, and make lectures targeted.
With the increase of grade, the importance of preview becomes more prominent. 9. The habit of "checking" repeatedly.
Cultivating students' checking ability and habit is an important measure to improve the quality of mathematics learning, a necessary process to cultivate students' consciousness and sense of responsibility, and this is also a clear teaching requirement in the new syllabus. After the exercise, students should generally check and check repeatedly from the aspects of "whether it conforms to the meaning of the question, whether the calculation is reasonable, flexible and correct, and whether the method of solving applied and geometric problems is scientific".
10, the habit of objective "evaluation". It is a high-level learning for students to objectively evaluate the performance of themselves and others in learning activities.
Only by objectively evaluating ourselves and others can we judge our own self-confidence and shortcomings, thus achieving the goal of facing ourselves squarely, constantly reflecting and pursuing progress, and gradually forming a dialectical materialist view of understanding. 1 1, the habit of "moving" frequently.
Mathematics knowledge is highly abstract, and primary school students' thinking is obviously concrete, so the new syllabus emphasizes that we should pay attention to learning and understanding mathematics from students' life experience and strengthen the cultivation of practical ability. In teaching, teachers should emphasize the use of students' hands and brains to stimulate thinking, solve difficult concepts through examples, find the correct solution to complex application problems through drawing, and ask for directions through cutting vague geometric knowledge or experiments.
12, the habit of intentional "gathering". It is not terrible for students to make mistakes in learning activities. What is terrible is that they have made many mistakes on the same question.
In order to avoid making the same mistakes frequently, a responsible teacher arranged an error consultation column in the classroom, and students with computing ability set up an error knowledge file to collect the wrong questions in their usual exercises or exams and repeatedly admonish themselves, which is worth promoting. 13, the habit of flexible "use".
The purpose of learning lies in application, which requires students to use what they have learned in class flexibly, which can not only consolidate and digest knowledge, but also help to transform knowledge into ability, and also achieve the purpose of cultivating students' interest in learning mathematics. How to write a good composition? ? Oldq= 1 How to write a perfect composition-1. Examine the questions accurately and avoid digression.
-2. The title should be novel and unique. (The title of the article is like the eye of the article) -3. Point out the theme of the article at the beginning and end, and echo it from beginning to end.
-4, the middle paragraph should be written in detail, and it should be written delicately and vividly. -5. Character description and psychological activities are very necessary, and the writing should be vivid and appropriate.
I wish you good grades.
8. Ask for some easy-to-write composition topics, the more the better. Group 1 (50 questions): Hey, I have a little secret teacher. You are tired. I am an insect fan. I want to say thank you. Goodbye, teacher. I am a brave child. Let me say "Hello!" I can't forget my teacher's kindness, joys and sorrows. I love my grandmother and my classmates, and my mother praises me for my filial piety. I often miss her (him), a hard-working person, and I will help my classmates. A kind (strict) father (mother), a person who knows how to care about his classmates (parents), I will care about my mother. His (her) spirit (behavior) touched me, a grateful person, and I learned to share. He got rid of his bad habits and kept discipline (keeping his promise, I learned to be grateful to that polite man. I learned to save him (her) from deep memory. I learned to be a warm-hearted person. I am deeply impressed with him (her). I learned to use my head. The person I admire most. I'll do it myself. My deskmate Xiao Fang is very strong. I have formed a good habit. My good friend Xiaoming loves his calculating uncle very much. I will fight for my breath. Mom loves me growing up. My nagging mother turned out to be him (her). In the face of setbacks, I am not afraid that he (she) is my role model. He (she) is different from me. He (she) is a very distinctive person. I am no longer afraid of writing (math, English). Group 2 (50 questions): An unforgettable event. This is a brave attempt. I know how to do something to be proud of and remember the most profound thing. Thank you. Dad, a nasty thing, I will never forget that day. Dad (mom, teacher), I want to say a word of regret to you. I was praised. He (she, it) gave me an inspiration Today, I'm glad I found him (her), whose secret is a happy thing and an interesting childhood story. He (she) changed a glorious (disgraceful) thing. "Love can make you happy every day." My school has changed a memorable thing. I understand the meaning of this sentence. A beautiful campus is an interesting thing. I think of the teacher's words. My favorite animal (plant) happened in our class. I have tasted success (pain), mom. One thing that happened to me when I grew up was the story of my book and my future house. I cried at that time. I was wrong to think of this famous saying 20 years later. I love my family, my wish, something I saw outside school when I was growing up, and an unforgettable (happy) activity in the 2008 Beijing Olympic Games. If I have money on my way to school, I will have special maternal love. If I grow up, I will take "I am so ashamed" as the last sentence. The third group (50 questions) of composition topics for primary school students finished writing an article and got _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ I really regret that my family _ _ _ _ _ _ _ _ _ _ _ _ _ shared the inspiration from my _ _ _ _ _ _ _ _ good friend. It was a kind of _ _ _ _ _ _ I was very _ _ _ (happy and distressed ... I thought _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ I have learned that _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Being friendly in _ _ _ _ _ (teachers and students, classes, competitions) is really annoying ...) _ I'm not afraid that he (she) has _ _ _ _ _ _ _ _ _ _ _ I have a pair of _ _ _ _ _ _ hands, and he (she) _ _ _ (help, influence). I am a _ _ _ _ _ _ _ _ _ person ... Come: write your own title according to the materials provided, grasp "I was shocked" and "It's really not easy to do this" to expand my reasonable imagination, write a narrative of about 400 words, and specifically write the cause and process of the incident.
Two, (a), six years of primary school life is coming to an end. Looking back on your life in the past six years, you must have a lot of feelings, either happy or proud, or proud, or sorry, or confused ... What would you do if you could be a primary school student again? Please write an article on the topic "If I can be a pupil again, be a pupil again".
(2) "Try" is to give it a try, which is a very interesting practical activity. It may succeed or fail.
However, in any case, it will make you find something and feel something. Please choose an attempt you have experienced in your life, complete the topic "It was an attempt" and write a narrative.
Requirements: 1. Choose one of the above two questions to complete. 2, the content is specific, the feelings are true, the sentences are fluent, and there is a certain degree of organization.
Third, make up a story with no less than 400 words according to the words given below. Examination room, white rabbit, hillside compass, fox 4 How do you spend Sunday in your family? Choose a Sunday that you are most willing to write and write it.
Pay attention to the feelings of yourself and your family during the narrative. Write specific content and fluent sentences.
9. Write a composition with good math scores. My classmate's name is Li Yihang. It has a pair of big eyes, a high nose and a small mouth like a cherry. When I was young, I would show two small dimples, which was very cute. However, you must not be fooled by his appearance. In fact, she is bold and provocative, but she is a famous "Hedong Lion" in her class.
Because of his good English study, Yihang was elected as the English team leader, but it happened that his group didn't like doing homework or studying. So as long as the class is over, I can always hear his "high decibel" voice: "XXX". What about your English homework? Didn't write it? Wait until you get the teacher's approval ... "His roar is enough to shake the earth, so people who don't do their homework have to" keep silent "and do their homework honestly.
I remember once, a group of boys took a dead spider to scare girls and made them scream again and again. Only Yihang grabbed the dead spider, threw it on the ground, crushed it with its foot and shouted, "Are you tired of living?" Dare to scare us with spiders? Forget it this time. I'll come next time. I will take care of you. "Say, turned to leave. The girls cheered, but the boys were dumbfounded.
Iraqi Airways also likes painting very much. In the eyes of the art teacher, Yihang is the art high flyers. Look, all her paintings are lifelike, lifelike, and people have to admire him.
This is my classmate-Li Yihang. He is a good student, with a fiery personality and a passion for painting. At the same time, he is also my good classmate.