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On how to cultivate students' computing ability
According to certain mathematical concepts, rules and theorems, Ding Jilong of Fengxian Ethnic Middle School in Jiangsu Province called the process of obtaining certain results from some known quantities as operation, and the psychological characteristic of enabling some operations to be successfully completed was called the operation ability. Computing ability is the basic ability of mathematics. The examination of computing ability in college entrance examination is mainly arithmetic and logical reasoning. Algebraic operation is the main method in the exam, as well as estimation and simplification. The requirement for computing power can be summarized as "accuracy, proficiency and rationality", which reflects the importance attached to the examination of arithmetic and algorithms, and also has certain requirements for the flexibility and practicability of calculation and operation. We should know how to properly use clever calculation, graphic calculation, approximate calculation and accurate calculation to solve problems. So how to cultivate students' computing ability? First of all, the understanding of computing power is 1. The level of computing power. Different types of operations are gradually formed and developed from simple to complex, from concrete to abstract, and from low to high. Without mastering the calculation of rational numbers, it is impossible to master the calculation of real numbers; Without the calculation of algebraic expressions, it is impossible to master the calculation of fractions. If you don't master finite calculation, you can't master infinite calculation. Without the foundation of concrete operation, abstract operation is difficult to realize. It can be seen that the computing power is gradually developed with the gradual broadening of knowledge, the deepening of content and the continuous improvement of abstract programs. 2. Computing ability Comprehensive computing ability can neither exist in isolation from specific mathematical knowledge nor develop independently from other abilities. Computing ability is permeated with memory ability, observation ability, understanding ability, association ability, expression ability and so on. , but also support mathematical abilities such as logical thinking ability. Therefore, improving students' computing ability is a comprehensive problem. To improve students' computing ability, we should start from the following aspects: First, we should pay attention to the role of non-intellectual factors, which are an important reason for students' mistakes. First of all, students have insufficient understanding of the importance and necessity of learning, unclear learning objectives and low interest in solving problems. I think solving the problem is just to cope with the inspection, so I have no desire to strive for accuracy. As a result, the problem was absent-minded and careless, leading to calculation errors. The second is to calculate the result as soon as possible. When the number of calculation problems is too large or too complicated, it is easy to have rejection psychology, and it is easy to have calculation errors without careful analysis and inspection. In the process of learning, students' psychology is a whole, and intellectual factors and non-intellectual factors coexist, and non-intellectual factors are often the reasons that interfere with intellectual factors. Positive non-intelligence factors can promote intellectual activities, while negative non-intelligence factors can interfere with intellectual activities. Therefore, teachers should pay attention to stimulating students' positive non-intellectual activities, regulating negative non-intellectual activities, unifying intellectual activities and non-intellectual activities, promoting each other, fully mobilizing students' subjective initiative, thus improving teaching quality and efficiency and reducing unnecessary mistakes. Second, strengthen the combination of teaching operation ability and thinking ability of basic knowledge and skills, including a series of processes such as analyzing operating conditions, exploring operating direction, selecting operating formulas, and determining operating procedures. It is required that the combination deformation and decomposition deformation of formulas, the calculation and solution of geometric quantities, the calculation, estimation, simplification and approximate calculation of numbers should be correctly operated, deformed and processed according to laws and formulas. Middle school mathematics is to cultivate students' computing ability, not just mechanical computing ability. So the exam has certain requirements for arithmetic. The basic knowledge in teaching is the basis of arithmetic, which is of guiding significance to operation. 1. Correctly understanding concepts and memorizing some important data formulas, rules and theorems are the basic requirements of operation, and correctly memorizing formulas and rules is the premise of accurate operation. And can master the derivation of formulas. Only by understanding the derivation of some concepts and formulas can we achieve the positive, negative and flexible use of formulas, thus improving the operational ability. 2. Do a good job in examination training. When doing problems, develop the habit of carefully examining and solving problems. Ask students to see every data and operation symbol in the topic clearly, determine the operation order and choose a reasonable operation method. Examination training can cultivate students' initial orientation ability and improve the correctness of operation direction. To do an operation problem, we must first read the problem critically, observe it from multiple angles, think comprehensively, determine the operation direction and pass the examination. 3. Optimizing the operation process and the training of operation methods can improve the rationality of the operation. Pay attention to the guiding role of mathematical thought in operation. Mathematical thought is the basic viewpoint of mathematics, the most essential and highest-level thing in mathematics, the guiding principle of optimizing operation process and method, the source of basic strategy to solve the rationality of operation and the soul of mathematical operation. The most commonly used idea guiding mathematical operation is reduction, that is, transforming the operation problem to be solved into an operation problem with definite solution and program specification. 4. Strengthening operation practice and forming good habits are all trained, and improving students' operation is no exception. It is necessary to strengthen practice and strict training. Comprehensive exercises can better practice and apply mathematical concepts, theorems, rules and formulas. Students are required to develop the habit of standardized writing, with neat handwriting, correct format, correct handwriting, no scribbling, no alteration, and neat and beautiful homework. Be confident and try to do it right once; Slow down and think carefully before writing; Less mental arithmetic, less skipping rope, and clear draft paper. 5. improve the ability to check. Calculation errors often occur, which is a manifestation of poor calculation ability. It is not enough to correct this problem only by asking students to be careful, but also to improve students' inspection ability and develop good inspection habits. Students often fail to find faults again and again. The reason is that they only know to look at it once or repeat it again, and they will not use their mathematical knowledge to calculate it from different angles. Facts show that this repetitive algorithm is of little significance. Students who can quickly judge whether the answers are true or false from all aspects will have a deep understanding of the problem and be meaningful to their own study. Third, strengthen reasoning training, pay attention to problem-solving strategies, and improve the simplicity of operation. In teaching, students should strengthen reasoning training on the basis of mastering basic knowledge. Usually practice requires step by step, with sufficient reasons, and pay attention to the operation order. When solving problems, there are often many ways to solve them, which requires us to be good at choosing the best and following them. Some students lack comparative consciousness. When doing problems, they often try to do it with death. Even if it is boring, they don't care. They just thought it was the right thing to do. Guide students to use conditions flexibly and improve the simplicity of operation, such as using concepts and formulas flexibly and choosing operation methods flexibly. The combination of numbers and shapes makes it difficult to make things easy. Solving mathematical problems, if we use pure algebra or pure geometry, sometimes the process is more complicated, and students with poor computing ability are more likely to make mistakes. If we combine some other knowledge and implement the combination of numbers and shapes, we can simplify the complex and turn the difficult into the easy. In short, the focus of cultivating students' computing ability is to accurately understand relevant knowledge and master relevant computing methods and steps. With the formation of operation skills, the operation steps are gradually simplified, the rules and formulas are flexibly used, and the simple operation paths are reasonably selected, so that the operation ability is gradually accumulated and improved in various applications.