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Consolidation of computing power

Publish: 2021-04-01 12:14:14
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6. The cultivation of computational ability is an important task in primary school mathematics teaching. From the score of a test paper, almost 70% of the content is inseparable from the calculation. For a long time, the boredom of the calculation class makes the students afraid. For calculation, it is necessary for teachers to start from the characteristics of teaching materials, the actual life of students, the psychological characteristics of children, contact the game activities, and carry out the integration of multimedia, so as to create a learning environment full of children's interest and vitality, and let students enjoy learning and love learning, On this basis, stimulate students' interest, so that the boring teaching of computing coruscate a new life. So, how to cultivate the calculation ability of primary school students? Practice has proved that hierarchical teaching can effectively develop. The following is a summary of the teaching practice of Grade Three:

1. Cultivate students' interest in learning mathematics

as the saying goes, "interest is the best teacher", skillful learning and flexible use will make the relatively boring mathematics learning lively and interesting, and make students interested in learning, so as to get twice the result with half the effort

in order to make students feel fresh all the time, in teaching, calculation exercises can be designed into games, competitions, rush answers, driving trains, listening to calculation, limited time oral calculation, self compiled calculation questions, playing cards, table mates or group competitions to adjust students' appetite. So as to cultivate students' good will quality. A variety of forms of training, so that different levels of students with different foundation on their own basis to enhance the enthusiasm, to improve the level of students' oral arithmetic plays a protective role, teaching in fun, help to activate the classroom atmosphere< Second, mastering basic knowledge is the premise of forming computing power

compared with the calculation of grade one and grade two, the calculation of grade one and grade two is a one-step calculation. They can do oral calculation or even listen to calculation and decide right or wrong at one time. However, as they enter grade three, with the deepening of knowledge, students' knowledge becomes "difficult", for example, to calculate 56 × We have to calculate 8 times to get the result, and two times of the 8 times are the result of multiplication and addition. If we want to do it right, we must not make any mistakes, otherwise it will be invalid. Therefore, basic skills such as multiplication formula and addition and subtraction within 20 are particularly important. And the calculation must be clear. Take first, then merge. Don't be confused

it is found in practice that students should not be in a hurry for success in teaching, but should be helped to start from sorting out the basic knowledge they have learned, use the transfer, and continue to deepen< Third, paying attention to basic training is the key to improve the ability of calculation

oral arithmetic is a basic skill that students must master, and it is one of the most basic and important skills in mathematics learning. Oral arithmetic is related to learning and mastering a series of contents, such as addition and subtraction of multiple digits, multiplication and division, and four calculation of decimal and fraction In the first and second paragraph of mathematics curriculum standard, it is emphasized to pay attention to oral arithmetic. Therefore, primary school calculation teaching should pay special attention to the training of oral calculation

for example, the decomposition of numbers within 10, the addition and subtraction of numbers within 20, and the multiplication and division within the table should be blurted out, which plays a key role in improving the accuracy of calculation. Only by improving the oral arithmetic skills, can students achieve correct, rapid and flexible calculation< 2. Strengthen the training of estimation and develop students' thinking

estimation is the ability to approximate or roughly estimate the operation process or result. Estimation is helpful for students to find out their deviation in solving problems, to rethink and calculate, so as to improve their computing ability. In teaching, teachers should teach students some estimation methods, so that students can form a correct way of thinking and improve the accuracy of calculation

3. Strengthening "practice every day" can promote students to accumulate computing experience

daily oral calculation, appropriate amount of written calculation and comparative training can effectively promote students to continuously accumulate calculation experience and form skills< 4. Effective practice is a means to improve the ability of calculation

in order to make students master the skills of calculation and form the ability of calculation, it is necessary to strengthen the practice. The former is to help students consolidate new knowledge and form skills; The latter is to cultivate students' ability to flexibly use what they have learned to solve practical problems. Practice is not to ask students to do some repetitive and monotonous questions endlessly. In order to improve the efficiency of the exercise, the content of the exercise should be targeted, hierarchical and with a certain slope. The forms of exercises should be flexible. Interesting data and novel questions will stimulate students' interest in doing exercises. In a word, diversified exercises not only enrich the content and form of exercises, but also greatly mobilize the enthusiasm of students to participate in the exercises, and play a promoting role in improving students' computing ability< 5. To cultivate good computing habits is the guarantee of improving computing ability. Good computing habits directly affect the formation and improvement of students' computing ability“ My practice is: in extracurricular every day to arrange a certain number of calculation problems, let students complete independently, pay attention to the cultivation of good calculation habits< Let students form the habit of proofreading carefully. Students are required to proofread the copied topics carefully, ranging from numbers and symbols

2. Students are required to see each data and operation symbol clearly, determine the operation order, and choose a reasonable operation method

3. Let students form the habit of standard writing. The standard writing format can express the students' operation ideas, calculation methods and steps, and prevent them from writing wrong numbers and operation symbols. Students are required to write neatly, with correct format, correct handwriting, no scribble, no alteration, and keep their homework neat and beautiful. Teachers should set an example for students

4. Let the students form the habit of estimating and checking. We should teach them the methods of checking and estimating, and make strict demands on checking as an important part of the calculation process, and advocate the use of estimation to check the correctness of the answers

5. Let students form the habit of mutual inspection. Students are required to check each other's homework on the basis of self-examination after the homework is completed, and then hand it over to the study group leader for review. They can point out the problems at any time, help analyze the causes of errors, correct them in time, and form the habit of consciously checking and correcting mistakes

when cultivating students' good calculation habits, teachers should be patient and persistent, unify methods and requirements, persevere and grasp them to the end

computing teaching is a long-term and complex teaching process. It is not a matter of one day to improve students' computing ability. It is necessary to achieve regular, planned, step-by-step, hierarchical teaching, which varies from person to person. We should pay attention to speed in time, density in quantity, flexibility and novelty in form and content. Only when we teachers and students work together and persevere, can we achieve results< br />
7.

① From concrete thinking to abstract thinking. Children's operation is always associated with specific things, and then graally separated from specific things, to the operation of letters, that is, algebraic expression, and then to more abstract symbolic operation, such as intersection and union of sets. Abstract degree of operational thinking is one of the main characteristics of the development of operational ability< (2) from comprehensive thinking to analytical thinking. At first, children's operation is a comprehensive thinking from condition to problem, from known to unknown. In the senior grade of primary school, we began to have analytical thinking from problems to conditions, from unknown to known. Analytical thinking is a difficult point that students must break through in order to further develop their computing ability. The training of application questions and proof questions plays an important role< (3) from intuitive thinking to conscious thinking. This is, children's operation from only know how to operate to understand and can say why to operate in this way, that is to say the idea of solving problems. Understanding the operation process is an important condition for correct and flexible operation and enhancement of migration< (4) from developing thinking to compressing thinking. Children's thinking in the process of calculation is initially carried out step by step. To skilled stage, then merge some steps, quickly get results or find solutions. Compressed thinking is an important condition for fast operation
⑤ from one-way thinking to reverse and multi-way thinking. Reverse thinking is a characteristic of mathematics learning. When children begin to learn mathematics, there are inverse operations. Later, there are more, such as subtraction for addition, factorization for multiplication, square root and logarithm for multiplication, inverse trigonometric function for trigonometric function, integral for differential, and so on. Due to the negative effect of thinking set, inverse thinking and inverse operations are difficult for students. Multi way thinking is to solve problems from different ideas. Reverse thinking and multi-directional thinking are important conditions to improve the flexibility of operation

8. If we want to improve our computing power, we can still bring you better use and help through continuous efforts.
9. After entering the junior high school stage, the cultivation of mathematical ability is one of the important tasks of junior high school mathematics. The quality of calculation ability directly affects the application of mathematical knowledge and the learning of later content. When entering junior high school, the students are about 12-13 years old. Their psychology is relatively mature and their self-control ability has been strengthened. But they are playful, playful, flustered and unable to do it. All of these lead to the cultivation of their calculation ability. They have no perseverance and perseverance, and they have done half or half of the calculation. In the face of such a situation, in the actual process of teaching, in addition to adhering to the teaching in textbooks, I also tried a lot of methods, the effect is better, I said it for your reference, common exchange. 1、 To strengthen self-examination, we can also check each other that the rational number in the first volume of the seventh grade and the equation of one variable all involve calculation. I will ask the students to do self-examination after they finish the problem. They can do the calculation problem again, bring back the solution of the equation for root checking, or exchange the results of their own calculation with those of the same table. If the results are not the same, they can check the problems together, Help each other to correct, remind each other when calculating next time, and ask parents to help them check at the same time. 2、 Summarize and remind the mistakes in time. In the process of teaching, I ask every student to sum up his or her problems together, write a note, press it on his or her desk, and stick it on the wall that he or she can see, such as the symbol problem in the power square, the base problem, the problem of removing brackets, the problem of removing denominator in equation, the application of the rule of merging similar terms in integral, and so on. When we solve these problems, the contents of the note will be reflected in our mind, which will attract attention in practical calculation and overcome the problems that often make mistakes. 3、 Decentralized training and centralized assessment. When learning the problems related to rational number operation, one-way equation and integral simplification, there are many calculation problems in the class homework. Students are easy to get tired and fidgety, and they are not serious about doing problems. Therefore, after learning these contents, give students two calculation problems every day, which is small, easy for students to do seriously, easy to concentrate, and high accuracy. After a period of training, in the centralized examination, to solve the indivial problems in time. 4、 The simplicity and flexibility of operation are advocated. Simplicity of operation is the symbol of rationality of operation, the requirement of speed of operation, and the investigation of students' profundity and flexibility of thinking. In order to improve the students' ability of reasonable operation; Multiple solutions to one problem & quot; It's a good training method. Because through "multiple solutions to one problem", we can compare which solution is correct and simple, so as to determine a reasonable solution. From the cognitive point of view, the multi solution of operation is the perceptual stage, while the rational operation is the rational stage. It is a process from quantitative change to qualitative change to cultivate students' ability of operation generalization through analysis and comparison. 5、 To cultivate students' good habits, some students should take care of themselves before the test and examination. If they keep a close eye on it, their grades will change a lot. Analysis of the reason is not the basic things do not grasp, but the usual habits do not. Therefore, good learning habits directly affect the formation and improvement of students' mathematical operation ability. Therefore, teachers should ask students to listen carefully, think actively, finish their homework independently, and form the habit of consciously checking and correcting mistakes. In teaching, we should develop the habit of seeing the problem and examining it first, just like the teaching of practical problems. In this way, the method of mathematical operation will be more correct and reasonable, and the speed of mathematical operation will continue to improve. It is common for students to make mistakes in mathematical operations, write wrong numbers and operation symbols, so it is very important to guide students to write carefully. The standard writing format can express the idea of operation and the steps of mathematical operation. It is true that the cultivation of students' good study habits can not be achieved overnight, nor can it be done at any time. Only by persevering and grasping to the end can it be effective. In addition, teachers should also set an example. When writing on the blackboard and correcting homework, they should set an example. In a word, improving students' computing ability is a complex system engineering and a long-term task, which can not be achieved overnight. As long as we cherish every training opportunity, carry out long-term infiltration in a planned, targeted and conscious way, and enable students to graally understand the essence of operation ability, it will inevitably promote students to develop the habit of correct, reasonable and fast operation, improve operation ability and improve mathematics effect.
10. In primary school mathematics teaching, the level of students' computing ability directly affects the quality of teachers' teaching and students' learning. Therefore, to improve students' computing ability has become one of the important topics in primary school mathematics teaching. In order to effectively improve the calculation ability of primary school students, it is necessary to take a variety of measures and methods. Therefore, the simple calculation ability is formed on the basis of the students' number sense development and strong calculation ability, and the improvement of simple calculation ability can promote the development of students' number sense and the enhancement of calculation ability. How to improve students' ability of simple calculation
first, pay attention to oral arithmetic to cultivate students' thinking agility
accurate and rapid problem-solving thinking activity is an important manifestation of thinking agility. Grasping the basic training of oral arithmetic can improve the students' ability of applying the rules. There are two points that should be paid attention to in oral arithmetic: first, it is not concive to the improvement of oral arithmetic ability and the cultivation of students' thinking agility. Second, there should be a speed requirement in calculation, so that students have a sense of urgency. It's a good way to do mental arithmetic training with slats
Second, to grasp the whole, to cultivate students' thinking flexibility
the flexibility of thinking reflects the flexibility of thinking activities in many aspects, such as the choice of angle, application method and development process. Mainly focus on the following aspects of training 1) Make it up. It is to make up the number into the whole ten, the whole hundred and so on, and then calculate. That is to use rounding method to add and subtract more or add more and subtract more 2) Points. It is to separate one number in the operation and operate with another number respectively to facilitate rounding operation 3) Estimate. Estimation can improve students' self-examination ability, improve the accuracy of quick calculation, and cultivate students' thinking flexibility. In general, some numbers are estimated to be the nearest tens or hundreds. First estimate the result, and then make an accurate answer. Secondly, the estimation test is used
Third, to ince frequently, to cultivate the profundity of students' thinking and the profundity of thinking
refers to the abstract and logical level of thinking activities. We should focus on the following aspects of training 1) All right. According to the characteristics of rounding, two or more numbers are combined to facilitate oral and mental calculation 2) Turn. Transform the operation method, simplify the complex, promote the mental calculation. Guide students to summarize the rules, deepen the understanding and memory of knowledge 3) Change. That is to change the operation order and change the invariant value. According to the definition of the rule, change the operation symbols and data, so as to make the students master the knowledge. One is to grasp the inverse operation, the other is to master the special nature, deepen the deep understanding of the topic, so as to cultivate students' profound thinking and improve their ability of skillful calculation< Fourth, set up the questions to cultivate the originality of students' thinking
the originality of thinking is generally characterized by being thoughtful, innovative and unique. Mainly grasp the following skills for training
1. According to the particularity of 0 and 1 in operation, the calculation steps are omitted, so as to cultivate students' unique innovative thinking
2. Eliminate the two corresponding numbers (such as + 3 and - 3), rece the operation steps, and cultivate students' innovative thinking
in short, in primary school mathematics teaching, students' computing ability can not be developed overnight. As a teacher, first of all, he should be able to use the calculation rules and laws freely, so that he can be handy and improve the effect. At the same time, the training should be carried out persistently. It is difficult to achieve results by fishing for three days and drying the net for two days. In the teaching of calculation, we should constantly think and explore. We should not just calculate for the sake of calculation, but combine it with the actual life and emotional attitude advocated by the new curriculum standard, so as to avoid the monotony and dryness of calculation. Therefore, only through simple operation and paying attention to the cultivation and training of students' thinking ability can we effectively improve the teaching quality and promote the improvement of students' operation skills
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