Methods of learning fifth-grade mathematics well
First of all, listen to the teacher carefully.
This is the main reason why I got good grades. Listen attentively, follow the teacher's thinking, don't be distracted, and don't listen at the same time. Secondly, we should pay attention to every word the teacher says, because mathematics is famous for its rigor, and there are serious differences between words, and there are infinite mysteries hidden between words. Pay attention to taking notes when listening to the lecture. Once the teacher talked about a difficult geometry problem, which I didn't understand at the moment. Fortunately, I wrote down the problem and the solution, thought it over carefully when I got home, and finally understood it thoroughly, so that I easily solved a similar problem in a competition and got a valuable score of 10. Raise your hand to speak actively in class. The benefits of raising your hand are really many! (1) can consolidate the knowledge learned in class. (2) Exercise your eloquence. Those vague ideas and mistakes can be taught by teachers. It's killing three birds with one stone. In short, listening should be done with hands, mouth, eyes, ears and heart.
Second, extracurricular exercises.
Confucius said, "Learn from time to time". Homework after class is also an important part of learning and consolidating mathematics. I pay great attention to the accuracy and speed of solving problems. Accuracy means accuracy, concentrate on completing your homework independently, strive to be accurate once, and correct any mistakes in time. And speed is to exercise your concentration and sense of urgency. I often do this. I set the alarm clock at the beginning of my homework and put it out of sight, which helps to improve the speed of my homework. I won't be nervous during the exam, and I won't lose sight of one thing.
Third, review and preview
For the review of mathematics, I intend to preview it every night. After finishing my homework that day, I will briefly look at the new knowledge I will learn the next day, and then recall what the teacher said. When I sleep in bed, I will "watch" the teacher's class in my mind like watching a movie. If there is any problem, I will get up and look at it immediately until I understand it. Every Sunday, I will also summarize, review and preview the week's homework. This is good for learning mathematics, and you won't forget it if you master it firmly.
Fourth, improve
After finishing my homework, previewing and reviewing, I will do some rock climbing problems. Doing this kind of problem, thinking independently as much as possible, and trying to find out the hidden conditions are the key to solving the problem. If you really can't think of it, you need to look at the reference books and consult your teachers and classmates. In short, seeing more, doing more, asking more questions, being open-minded, diligent and keeping a positive spirit are the key.
As long as you can do the above four points, then math learning will be much easier. For your own goals, for your own future, work together!
The Recommendation of Mathematics Review Methods in the Fifth Grade of Primary School
Review refers to the process of relearning what you have learned. Review includes after-class review and systematic review. The main purpose of after-class review is to understand and consolidate the knowledge learned that day. The main purpose of systematic review is to make a comprehensive and in-depth review of the knowledge learned in the week, month, semester or school year, with the aim of mastering the system of subject knowledge. Systematic review is essentially a relatively concentrated reprocessing process of the knowledge learned in the early stage. So how should we review in the review?
1. Review in time. People always forget what they have just learned at first, and then gradually slow down after a while. Therefore, children must pay attention to this rule when reviewing, so as to review in time. You will learn something new when you come back from school every day. You can review what you learned that day before you do your homework. At the same time, think before going to bed every night: "What did I learn today!" " "Then recall these things in your mind. If you don't review it in time, you will forget it after a long time. A lot of content will be reviewed in a short time, which will naturally have a bad influence.
2. Disperse the review. If you have 60 minutes to review, will you review it all at once? Or should I review it every once in a while? Psychologists have done experiments on this problem for a long time, and the results show that decentralized review is better than long-term centralized review. For children, the characteristics of their physical and mental development also need scattered review. So, you might as well review for 20 minutes at a time, and then review after a rest, so that you won't be tired and the review effect will be better.
3. Cross review. When you are faced with the task of reviewing several courses at the same time, it is best to adopt the method of cross-review, that is, Chinese review 10 minutes, and then change to mathematics after the break, and then change to something else. The advantage of this review is that it won't be boring.
4. Review in various ways. Reviewing in the same way for a long time is ineffective, especially for you. Think about it. When we adults learn English, we sometimes read silently, sometimes read aloud, sometimes copy, and constantly change our ways or combine them. This is especially true for children. For example, reviewing Chinese can be done by reading aloud, reciting, dictation, making sentences, writing and other different ways. When reviewing mathematics, you can read books, remember formulas, do problems, calculate problems and apply problems, and also pay attention to changing the types of questions.
5. Be flexible. When reviewing, you can't just read a book or do a few questions for a while, but try to make adjustments at any time according to your actual situation. If you find that you have mastered a certain part, you can skip this paragraph and review the following content. If you still make mistakes after doing several questions in this area, you need to strengthen the review of this part. According to the length of review time, different review strategies should be adopted: if there is enough time, you can read the book from beginning to end; If time is short, it is obviously not appropriate to allocate time evenly, so you have to focus on reviewing your weak links, and sometimes you can achieve the ideal effect only by studying the wrong question bank compiled on weekdays.
Key points of mathematics review in grade five
1, decimal times integer: meaning-a simple operation to find the sum of several identical addends.
For example, 1.5×3 indicates how many times 1.5 or how many three 1.5 are.
Calculation method: first expand the decimal into an integer; Calculate the product according to the law of integer multiplication; Look at a factor * * *, how many decimal places there are, and count the decimal points from the right side of the product.
2. Decimal multiplied by decimal: meaning-that is, what is the fraction of this number.
For example, if the integer part of 1.5×0.8 is 0, what is eight tenths of 1.5?
The integer part of 1.5× 1.8 is either 0 or 1.8 times 1.5.
Calculation method: first expand the decimal into an integer; Calculate the product according to the law of integer multiplication; Look at a factor * * *, how many decimal places there are, and count the decimal points from the right side of the product.
Note: In the calculation results, the 0 at the end of the decimal part should be removed to simplify the decimal; When the number of decimal places is not enough, use 0 to occupy the place.
3. Rule: the product of a number multiplied by 1 other than 0 is greater than the original number; The product of a number 0 divided by a number less than 1 is less than the original number.
4. There are usually three ways to find the approximate value:
(1) rounding method; (2) into law; (3) Tailing method
5. Calculate the amount of money and keep two decimal places, indicating that the calculation is completed. Keep one decimal place, indicating that the angle has been calculated.
6. The order of four decimal operations is the same as that of integers.
7, operation law and nature:
Addition: additive commutative law: a+b=b+a
Additive associative law: a+b A+B+C = A+B+C b+c.
Multiplication: multiplication commutative law: a× b = b× a.
The law of multiplicative association: a×b×c = a×b×c 4 or 0.4 see 2.5, 8 or 0.8 see 1.25.
Multiplication and distribution law: when a+b×c=a×c+b×c or a×c+b×c=a+b×cb= 1, b is omitted.
Variants: a-b×c=a×c-b×c or a× c-b× c = a-b× c.
Subtraction: Subtraction property: A-B-C = A-B+C.
Division: nature of division: A ÷ B ÷ C = A ÷ B× C