As a former middle school math teacher, let me answer it for you.
This method is to mention which pot is not open and which one is missing.
Come directly to dry goods!
Suppose a student is in Grade One, but he doesn't learn math well in primary school. Now the junior high school math teacher is in Part A, and a student can't understand it at all. The solution steps are as follows (look carefully and ponder carefully).
This is what I spent my time doing for you. You should feel it seriously and do it. I've used this method, and I'm sure it will solve your problem.
This method is not only suitable for the supplement of mathematics, but also suitable for other disciplines. Not only for junior high school students, but also for those who have difficulty in learning because they have not understood the previous knowledge before.
I hope it helps you.
Mathematics in Grade One is a difficult subject for primary school students who have just entered middle school. Many parents and students are concerned about this problem. Then, if children are not good at math in primary school, can they keep up when they enter junior high school? How do parents counsel their children during the summer vacation?
First, identify the problem first. In order to better solve problem children's unsatisfactory grades, there must be many problems in the learning process. I want to solve such problems;
Then we need to find the cause of the problem, just like doctors, we must first find the pathogen, and then prescribe the right medicine to improve the efficiency of solving the problem.
After analyzing the learning situation of many students, it is found that the reasons for unsatisfactory grades are nothing more than three reasons: poor foundation, unwillingness to learn and inability to learn.
Most students didn't get satisfactory results, because there were problems in their learning attitudes and habits.
Some students, from primary school to junior high school, have a weak foundation in mathematics and their grades have been unsatisfactory. When they want to learn math well in junior high school;
I found that the foundation was too poor, I didn't understand anything, and I carried on with my weight. Finally, I was really helpless. If I want to improve my grades, I need to make up the foundation first, and I need to work harder.
There are still some students who learn mathematics well in primary school, but after junior high school, their grades will go backwards step by step. Don't even think about it There must be something wrong with their learning attitude.
I can't calm down completely in my study, not only in mathematics, but also in all subjects. If I want to improve my grades, I need to improve my learning attitude, otherwise my grades will be difficult to break through.
Second, reviewing and consolidating the knowledge and questions directly examined in the senior high school entrance examination is the basis of the whole junior high school mathematics learning. The content of the direct examination of the senior high school entrance examination is generally about 20, and they are all basic topics;
In the senior high school entrance examination, the content of senior one generally involves the related concepts of rational numbers, operation and size comparison, algebraic operation, angle calculation by using the properties of parallel lines, and ruler drawing;
Congruent triangles's judgment and nature, the relevant knowledge points of statistics, will be directly examined by the senior high school entrance examination, which are the knowledge points and questions that students must master at the end of the first year of high school;
So for many students with weak foundation, it is better to study and practice these basic test sites and questions first.
Third, it is very important to systematically review the key knowledge points of the whole junior high school. In algebra, we must review and consolidate the following three aspects: first, the related concepts and calculations of rational numbers, which are the basis of the whole junior high school operation, especially the symbol problem;
Second, the concept of algebraic expression and its operation, including merging similar terms, power operation, algebraic expression multiplication, etc. These are relatively simple direct inspections in the senior high school entrance examination;
However, students must keep practicing to improve the proficiency and accuracy of operation, because factorization and fractional learning need to be applied to the relevant knowledge points of algebraic expression operation;
The third is the solution of linear equation. Although linear equations will not be directly tested in the senior high school entrance examination, the solutions of binary linear equations, univariate quadratic equations and fractional equations will eventually be transformed into univariate linear equations to learn, including the learning of inequalities and functions. Therefore, to review mathematics during holidays, we must first work hard on these three aspects of calculation.
Geometry: The first grade mathematics involves the preliminary geometry, that is, the understanding and simple calculation of lines and angles, focusing on mastering the properties of the midpoint and angle bisector of line segments;
The nature and judgment of parallel lines are relatively basic, but the exam is compulsory; The focus of junior high school geometry needs to be placed on triangles, which are the basis of junior high school geometry, and most of the calculations and proofs need to be transformed into triangles;
In the study of triangles, we need to master the understanding of triangles, trilateral relations, the sum theorem of inner and outer angles, three important segments in triangles, the nature and judgment of special triangles, and the nature and judgment of congruent triangles.
Among them, the difficulties focus on the important line segments in the triangle, the nature and judgment of the special triangle and the nature and judgment of the congruent triangles;
Congruent triangles's judgment, in particular, is the basis of geometry proof and calculation in junior high school. We must master and flexibly use congruent triangles's nature and judgment.
Primary schools should cultivate interest in learning, not to mention that primary schools can catch up if they don't study well in junior high schools. My child is the last one to enter high school and the first one to graduate. But he must really want to learn, and then tell him a set of learning methods suitable for him.
Hello, I'm glad to answer your question.
First of all, let's take a look at what we have learned in primary school mathematics.
The textbook of primary school mathematics is to let primary school students know a series of knowledge such as number, four operations, calculation of figure and length, unit conversion and so on. It is the best basis for junior high school and social life calculation. Mathematics learning in primary schools is not a process of passive absorption, but a process of reconstruction on the basis of existing knowledge and experience.
I can't learn math well because of many things.
First, they are careless and often confused. Although this is not a big problem, it also reflects that students are not rigorous in thinking and careless in doing things. The teacher always tells us to be careful in class, but many children don't listen. If you want customer service, you must practice more and do some detailed questions!
Second, if you look at it, you will make a mistake. I think I have mastered the problem that the teacher said. This kind of problem is that students' inductive level is limited, they are not good at in-depth observation and thinking, and they are always superficial.
Mastering the correct laws is the key to mathematics learning. First of all, we must firmly grasp the basic knowledge and accumulate it continuously. In the lower grades, I didn't master the basic knowledge well, and I didn't get into the habit of checking and recording the wrong questions when my homework was wrong.
As for what you said, primary school math foundation is not good, how to get it back in junior high school? I'll give you some advice.
In front of us, we have learned the knowledge and basic learning rules of primary school mathematics.
First of all, use spare time to sort out all the knowledge of primary school mathematics. Although it's boring, you must do it.
Second, summarize all the problems that can't be summarized and find out the reasons why they can't. Parents should give their children confidence!
Third, set an example for children. It is important for adults to be handsome in the face of difficulties. I can do it!
Fourth, arrange a reasonable time, the iron bar is ground into a needle, not in one day, so as to learn step by step and in a planned way!
The above is my opinion, although it may not be very professional. As long as you persist, you will get something. Parents must have confidence. Education is not only the task of schools, but also the cooperation of parents. Family education is very important!
Correct learning attitude, self-control, perseverance, doing more, practicing more, asking more questions and remembering more,
I have many feelings about your question.
I want you to listen to my story first, and then we will answer your questions together.
I am a front-line teacher in a vocational high school.
In Shanghai, secondary vocational schools are almost at the bottom of high school.
In other words, the students who come to our school are the students with the worst foundation.
Some primary schools are ok, but they were abolished after three years of junior high school.
Others can't keep up with their studies since primary school, and then they have been mixed up until now.
The mathematics learned in our school is very simple. Our math teacher, Lao Guo, is an amiable elder. Every time I say "you are a math teacher", he corrects me: "I'm not a math teacher, I'm just an arithmetic teacher."
Yes, our math is so simple that the math teacher refuses to admit that he is a math teacher. But this is such a simple math that we still fail a lot every time.
Later, I personally got off the stage, gathered the problem students together, personally gave them a new math class, and then mobilized class cadres and enthusiastic students to help these students one by one.
But in this process, I experienced two words-collapse.
Why? Because our worst student is so bad that he can even recite the multiplication formula wrong.
Later, I communicated with my parents and found that this student was compiled by his parents from primary school, so that he was "compiled" all the way into our school.
Parents say that their children's IQ is fine, but I don't know why, but I just can't learn math.
When the student was in primary school, he was afraid of difficulties in mathematics. That he gave up mathematics in junior high school.
Now in high school, I try to help him with his math, and then I really realize what is powerless.
Not only I, but also the students who are in charge of helping, fell into the mood of collapse and self-doubt after he reported the wrong answers again and again. Because I have talked with him about this topic for half an hour just now, and he was even right just now! Then five minutes later, he asked the same question again, and he got it wrong again!
This classmate who is helped by us is also very painful. Although he knows that we are kind enough to help him, he is under increasing pressure as we collapse again and again and then regain confidence. He asked for help several times, and his math is like this.
This student, later, with the joint efforts of my classmate and math teacher Lao Guo, finally passed the math test in the academic level test (equivalent to the college entrance examination for students from three schools). After the results came out, Lao Guo and I were deeply moved. He lamented that the efforts of many parties finally paid off, and it was not easy for ordinary students to get a pass with their eyes closed.
Later I discussed the situation with another senior teacher. The teacher's theory inspired me.
He said that what a person's brain should do at any stage should be exercised accordingly. Once this period is missed, it will be missed forever. I can't make it up any more. Even if it can be improved through later efforts, it will never return to its due height.
I summarize his words as follows:
People are born, even before they are born. Each stage has a different window period. Some windows are relatively long, while others are fleeting. This ability can be stimulated and enhanced if the corresponding senses or brain regions are correctly stimulated in the corresponding period. Taking mathematics as an example, many understandings and concepts about mathematics are gradually established from a very young age, and the calculation ability and logical thinking ability of mathematics are constantly accumulated in life and school. When it comes to math training, it is necessary to practice more, so that the relevant areas in the child's brain can be effectively activated and thrive. If you miss this period and don't practice at this time, then some shortcomings will be "stereotyped", which will greatly limit your child's future development in this area.
Some people may cite counterexamples, such as Zhong Yong and Einstein, to prove that early success may not be successful in the later stage, and early failure in the later stage can still be a "late bloomer".
I don't want to spend too much space here to discuss this problem. I just want to say that from the perspective of an educator, I think this theory is very reasonable and suitable for the vast majority of people.
Exercise when it is time to exercise, and the corresponding functions of the growing brain will be enhanced. This kind of enhancement in the window period is very different from the enhancement obtained by extra exercise in the late non-window period.
In other words, the poor foundation of primary school mathematics is a great loss, because it proves that you didn't get a good exercise in mathematics at that stage, and related fields may not grow and develop well.
Of course, this does not mean that the brain's growth and development of mathematics began in primary school. In fact, this process started earlier, but for most people, systematic and professional mathematics training began in primary school.
Having said so much, I don't just want to hit the point. I hope the subject can understand the seriousness of this problem. Relatively speaking, it doesn't mean that we completely lost hope if we didn't learn math well in primary school. The relevant window period may not be completely closed, but the primary school stage was not used well and many opportunities were missed. Comparatively speaking, in junior high school, we must catch up and make up. Mathematical ability plays an important role in the development of the whole person's thinking, which does not mean that you can learn casually without being a mathematician and engaging in scientific research mathematics in the future. Mathematics is not only one of the three main courses, but also a means to get grades. Mathematics is about the development of the whole human mind. It's a pity that the foundation in primary school is not good, but we must pay close attention to it in junior high school.
As for the specific methods, there is actually no good shortcut, just study and practice. Keep your feet on the ground and practice again and again. The brain is a magical organ. Too much use of any field in the brain will stimulate its potential and make it stronger.
Mathematics in primary school and junior high school is relatively simple, and more emphasis is placed on an exercise for the brain. Of course, for a mathematical genius, we can look at this subject from the essence of mathematics. Just like India's mathematical genius Ramanukin, 10 years old only came into contact with mathematics, but he could see the essence from the phenomenon and deduce the higher-order formula with the basic formula. However, this genius approach is not common. For the general public, it is no easy task to ensure that the mathematical thinking training of their own minds is done first. If the interest in mathematics is aroused and the potential of learning mathematics is tapped, it is not too late to do further training.
I'm Lao Zhang, a front-line teacher. If you also like thinking education, please pay attention to discuss with me.
Primary school learning content is relatively small, and it can be systematically relearned in a short time.
My friend, we can see from the question that you are a very confident person. Since we have made such a determination, we just need to spend more time on "logical analysis" and "computing power". No matter day or night, spring, summer, autumn and winter, you can use all your time, and those who are willing to pay will succeed! It will be successful! I hope I can help you. Waiting for your good news!
As long as the basic knowledge is mastered, middle schools will not be affected, and difficult ones will not be used. If the basic knowledge is not good, you can also make a surprise tutorial with little content.