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Activity preview

The purpose of preview is the process of actively acquiring new knowledge, which is helpful to mobilize the initiative of learning. Before explaining new knowledge, it is an important means to read the teaching materials carefully and develop the habit of previewing actively.

Therefore, we should pay attention to cultivating self-study ability and learn to read books. For example, if you teach yourself an example, you should find out what the example is about, what the conditions are, what you want, how to answer it in the book, why you answer it like this, whether there is a new solution and what the steps are. Grasp these important problems, think with your head, go deep step by step, and learn to use existing knowledge to explore new knowledge independently.

02

Active thinking

Many students just listen and can't think actively in the process of listening, so when they encounter practical problems, they don't know how to apply what they have learned to answer them.

The main reason is that you didn't consider the trouble caused in class. In addition to following the teacher's thinking, we should also think more about why we define it like this, and what are the benefits of solving problems like this. Taking the initiative to think can not only make us listen more carefully, but also stimulate our interest in some knowledge and help us learn more.

Rely on the teacher's guidance to think about the way to solve the problem; The answer is really not important; What matters is the method!

03

Be good at summing up laws

Generally speaking, there are rules to follow in solving mathematical problems. When solving problems, we should pay attention to summing up the law of solving problems. After solving each exercise, we should pay attention to reviewing the following questions:

(1) What is the most important feature of this problem?

(2) What basic knowledge and graphics are used to solve this problem?

(3) How do you observe, associate and transform this problem to achieve transformation?

(4) What mathematical ideas and methods are used to solve this problem?

(5) Where is the most critical step to solve this problem?

(6) Have you ever done a topic like this? What are the similarities and differences between solutions and ideas?

How many solutions can you find to this problem? Which is the best? What kind of solution is a special skill? Can you sum up under what circumstances?

Put this series of questions through all aspects of problem solving, gradually improve and persevere, so that children's psychological stability and adaptability to problem solving can be continuously improved, and their thinking ability will be exercised and developed.

04

There must be a book wrong.

Speaking of wrong books, many students feel that they have a good memory and can remember them without wrong books. This is an "illusion", and everyone has this feeling. When the problems increase and the learning content deepens, you will find yourself at a loss.

Wrong questions can record your own knowledge shortcomings at any time, which is helpful to strengthen the knowledge system and improve learning efficiency. Many schoolmasters got high marks because they used the wrong textbooks on their own initiative.

05

"1x5" learning method

"1×5" learning method is to do a problem and think from five aspects, which can be combined with "summing up the law" and "expanding thinking" mentioned above. These five aspects are:

What is the knowledge point of this question?

(2) Why do you want to do this?

How did I come up with it?

What else can I do? Is there any other way?

⑤ A topic is changeable. See how many forms it has.

Don't feel trouble. The hardest thing to cultivate study habits is the first month, just like a rocket taking off. The hardest part is the ignition and take-off stage. Once you have developed good math study habits and ways of thinking, you will be very relaxed in your future study.

06

autonomous working

Nowadays, many students use some applications to help them finish their homework. They can find the answer by looking for photos, or copy other students' homework. This can be divided into two situations. One is for quick photos and speed. If you do this often, you will form a bad habit of reviewing questions, which is easy to be clear at a glance and careless.

Another is for convenience, which will lead to students' fear of trouble. Once the topic is a little difficult, they will start to get upset and confused. So everyone must form the good habit of finishing homework independently.

Five scoring cheats

1

Explore concepts and formulas carefully

Many students pay insufficient attention to concepts and formulas. This kind of problem is reflected in three aspects:

First, the understanding of the concept only stays on the surface of words, and the special situation of the concept is not paid enough attention. For example, in the concept of algebraic expression (an expression expressed by letters or numbers is algebraic expression), many students ignore that "a single letter or number is also algebraic expression".

Second, concepts and formulas are blindly memorized and have nothing to do with practical topics. The knowledge learned in this way can't be well connected with solving problems.

Third, some students do not pay attention to the memory of mathematical formulas. Memory is the basis of understanding. If you can't memorize the formula, how can you skillfully use it in the topic?

Suggestions are: be more careful (observe special cases), be more in-depth (know the common test sites in the topic), and be more skilled (we can use them freely no matter what appearance they appear).

2

Summarize similar types of topics

This job is not only for teachers, but also for students.

When you can summarize the topics, classify the topics you have done, know which types of questions you can do, master the common methods of solving problems, and which types of questions you can't do, you will really master the tricks of this subject and truly "let it change, I will never move."

If this problem is not solved well, after entering the second and third grades, students will find that some students do problems every day, but their grades will fall instead of rising.

The reason is that they do repetitive work every day, and many similar problems are repeated, but they can't concentrate on solving the problems that need to be solved. Over time, the problems that can't be solved have not been solved, and the problems that can be solved have also been messed up because of the lack of overall grasp of mathematics.