This summer vacation, I met many youthful faces. They are all eleven or twelve years old. They just attended the graduation ceremony for the first time in their lives, which left a deep memory, and greeted their junior high school classmates with high fighting spirit. In the process of getting along with them, I saw their vision for the future and their parents' expectations, and suddenly felt the same way. I originally wanted to write such an article, hoping to bring some help to their future study.
(1) Why should we improve our computing power?
In every province and city in China, from entrance examination to postgraduate entrance examination, mathematics is undoubtedly the first major subject that attracts the most attention. Because many complicated practical problems in real life can often be abstracted into mathematical models to solve. To learn math well, or more realistically, to get good grades in math exams, strong computing ability is essential, and even if you want to learn other science courses well in the future, computing is also a key factor.
In the whole process of primary school mathematics learning, we put most of our energy into cultivating children's interest in mathematics. Looking back carefully, the calculation we have learned is only the basic four operations, and more work is about the cultivation of number sense. But in fact, these seemingly simple tasks are actually very important and will have a far-reaching impact on children's future mathematics learning. According to my own growth and teaching experience, students who are interested in mathematics at an early age and are willing to think often have certain advantages in their later study career, and even can spontaneously experience the fun of learning.
And how to cultivate children's interest in mathematics? The easiest way to make a person like something is to make him happy in it, and the most convenient and effective way to get happy in mathematics is of course the success of a calculation. Adults often associate strong computing ability with "intelligence", and there are often quick calculation links in various brain tests. Although this view is not completely correct, it is an incentive for mathematics learning, because every child is particularly eager for the recognition of parents, teachers and peers. It can be said that calculation can help a student build a strong mathematical confidence; Of course, it can also destroy a student's full interest in mathematics.
If mathematics is a manor, then calculation is the first fruit we pick from it. A person with strong calculation ability always waits for picking the next fruit, because he remembers that his first harvest in the manor was sweet, not sour.
(2) Standards for testing computing power.
Now that we understand the importance of calculation, we must set goals for ourselves. As the saying goes, learning is endless, and so is mathematics. You can always learn something new as long as you want to learn. Similarly, there is no upper limit to the improvement of computing power. As long as you are willing to practice, your computing ability can always be improved slowly. How can you test your computing ability?
First of all, the basic requirement of calculation is "accuracy".
When a novice is new to a certain kind of calculation, he can only achieve low accuracy because he is unfamiliar with the algorithm. At this stage, the training of computing ability mainly focuses on improving accuracy. If you can't guarantee the accuracy of calculation, you may hit a wall everywhere in the whole process of mathematics learning. Imagine that in the exam, a series of math problems, ingenious ideas and complicated processes are broken by you one by one, and finally you lose points because of a calculation error, so that the duck flies away with sadness.
Then, the embodiment of powerful computing power is "fast".
Calculation is just the finishing touch of every math problem. Facing every exam and every math problem, our time is very limited, and we often spend most of our time thinking. In this case, the time left for calculation will not be sufficient, and the calculation speed must be continuously improved while ensuring the accuracy. Only in this way can we solve math problems easily.
③ How to calculate quickly and accurately?
When we understand that we must do one thing well and have a goal, all that remains is to master the method and persevere.
If you want to improve your calculation ability, you must first make clear the calculation method.
After entering junior high school, with the expansion of the number field, the calculation problem gradually becomes complicated, no longer limited to natural numbers, first extended to rational numbers, and then extended to real numbers; The type of calculation is not only the simple four operations, but also the power sum roots. First of all, it is particularly important to be familiar with the rules of calculation and some tips.
Take the skills of five mixed operations of rational numbers as an example:
ⅰ. Decimal fraction with decimal error fraction;
Ii. multiplication and division;
ⅲ. Determine the symbol first, and then determine the absolute value.
Combined with the algorithm we learned in primary school, plus the judgment of the newly learned power operation basis, pay attention to the calculation order. You will find that calculation is actually a gradual process.
Therefore, in the early stage of calculation training, we'd better compare the calculation rules step by step before each calculation, and avoid jumping and impetuous; Once mistakes are found, check them step by step, find out the crux, and repeatedly correct and train the mistakes that have appeared many times.
This kind of careful calculation training can make all kinds of calculation rules go deep into our minds.
A lot of training is the only way to improve the computing ability.
A clear calculation method can only help us meet the basic requirements of "accuracy"; Martial arts in the world are fast and unbreakable, and the only way to calculate accurately and quickly is to do a lot of calculation training for a long time. At this time, new problems will gradually emerge. How to get children to accept the training process? How to make children feel that the training of calculation is not a boring thing?
It is often longer for a person to run 10,000 meters than for him to race with many people, because in an environment with competition and companionship, we will be more motivated to do a good job; Running a race with a reward at the finish line is often faster than running without a reward at the finish line, because a reward is an incentive and recognition.