Junior high school arithmetic
the significance and importance of calculation.
1. Calculation is the cornerstone of learning mathematics. Mastering calculation opens the door to the kingdom of mathematics. In teaching practice, there is such a phenomenon: although many students master the calculation method, they often make mistakes in calculation, The accuracy rate of calculation is very low. It not only directly affects the learning effect of word problems and application problems, but also seriously hinders the improvement of students' mathematics performance. Therefore, we must improve the accuracy rate of students' calculation. 2. Number and calculation will accompany one's whole life. A person needs to learn all the mathematics knowledge when he is an alt in middle school, Second, the reasons for the low accuracy rate of calculation.
1. When students analyze the causes of wrong questions, they often make mistakes, such as "reading wrong questions and ing wrong ones", "writing scribbled and ambiguous", "not making draft when calculating, adding or subtracting one digit leads to wrong whole questions", It seems that most of the reasons are as follows: & quot; Carelessness & quot; What is the cause of "carelessness"? There are only two aspects: one is that students' psychological quality is not mature enough, the other is that they have not formed good study habits. Therefore, cultivating students' good study habits is not only the requirement of quality ecation, but also the premise of improving the calculation accuracy.
2. At the same time, some students' calculation accuracy is not very high, It also reflects that the computing ability of these students needs to be improved (for example, they are not familiar with multiplication formula, carry addition and so on); It may lack a good habit of calculation, such as the habit of checking calculation. Many students ignore the role of "estimation" in calculation. This may have something to do with our usual teaching practice.
Third, measures to improve the accuracy of calculation, It is very necessary to correct the calculation errors and improve the accuracy of calculation to cultivate students' good learning attitude and calculation habits, and then improve the quality of teaching.
2. Do a good job of demonstration and teaching by words and deeds. The teacher is the example of students. In class, the board performance is in line with the norms, so as to achieve both oral and personal teaching, Teachers who require students to do it must do it first.
3. Encourage and persevere constantly. It takes a long time to form a good habit of calculation. To make the strict requirements persist, students must be encouraged to recognize the strict requirements of teachers and keep a lasting interest in implementing the calculation specifications, Students: 1, in accordance with the general order of calculation. Make clear the meaning of the problem, observe the characteristics of the problem, determine the order of calculation. 2, to develop a good habit of serious calculation. Clear data, draft in accordance with a certain order. 3, can not blindly pursue high speed. Rather slow than wrong, rather less than excessive.
4, specific methods:
1, strict calculation process, Standardizing the calculation of draft is the guarantee to improve the accuracy of calculation. Students are required to have standard calculation format, neat and correct writing, and neat homework and test papers. Draft is a necessary means for correct mathematical calculation, and many calculation errors are caused by Scribble and disorder of draft. In teaching, draft also requires students to write neatly and orderly, and try to do oral calculation as much as possible, Students are required to make a draft according to their usual requirements. The paper can be folded in half, and the draft should correspond to the questions. This is concive to students' self review in an orderly way, and there is no need to spend more time rewriting the draft. It saves time and effort to check directly. It is concive to cultivating students' rigorous, meticulous, honest and serious homework habits, overcoming the bad habit of scribbling and littering drafts, and helping teachers find and analyze the causes of errors, To help students to correct and control the future teaching.
2. To make students form a good habit of calculation, we must be strict, careful and persistent; If there are nonstandard calculation errors in the test, we should give detailed comments and teach methods in class; Students with repeated errors should be given a "small stove". Self check and mutual check should be carried out on the implementation of calculation specifications, so as to cultivate students' rigorous style of study from time to time and everywhere. At the beginning, students should correct drafts in detail as they do homework, and students should correct mistakes in drafts seriously. When students graally develop the habit, they should change detailed ones into simple ones, and simple ones into random ones, To sum up, the formation of good calculation habits of students, first, strict requirements, strict training. Second, to teach students some methods to make calculation correct and effective. Third, to actively ecate and encourage students to establish the confidence that they will be able to calculate correctly in psychology, and strive to calculate correctly in behavior, Will be able to promote students to improve the accuracy of calculation
Many students feel headache for mathematics, because the score of mathematics is not high every time, and many knowledge points are not very clear, so how can junior high school mathematics learn to effectively improve the score
how to learn junior high school mathematics can effectively improve scores
knowledge framework diagram
I believe that as long as the above points are achieved, there will be some changes in the score of this subject. Of course, in learning, planning is essential. No matter review or study, you need to make a professional plan to help yourself learn. In addition to the above points, the score of mathematics will make considerable progress, In learning, if you encounter problems that you can't solve, you need to ask for help from teachers or better students in time, so that you can solve the difficulties and won't have an impact on future learning. The above is how to learn junior high school mathematics. I believe that if you do well in these points, the overall score of each subject will rise
1. Strengthen the teaching of basic knowledge and basic skills, and improve the accuracy of calculation.
the basic knowledge in mathematics is the basis of calculation, which has guiding significance for calculation. The basic knowledge is confused, fuzzy, and the basic knowledge is not solid. In the past, it is the root cause of calculation errors, Therefore, to strengthen and implement the double base teaching is a very practical problem to improve the operation ability, which requires students to do:
(1) memorize some important data formulas and rules, because accuracy is the basic requirement of operation, and correct memory formulas and rules are the premise of accurate operation. Among the mathematical concepts, formulas, rules and properties, some are the basis of operation, explaining the reasons for "why it can be done like this", and some are the methods and steps of operation. It gives the proceres of how to do, that is, algorithms. Students learn the relevant concepts, properties and formulas, and memorize, rules and steps on the basis of understanding, Then, through a series of operation activities (i.e. practice), some kind of operation skills are graally formed
(2) correctly understand the concepts and definitions, and master the derivation of formulas. Only by understanding the derivation of some concepts and formulas, can we achieve the positive, reverse and flexible use of formulas, so as to improve the computing ability. The reason of incorrect operation in mathematics learning is often the result of fuzzy concept, formula, rule forgetting, confusion or rigid application
2. Strengthen the reasoning training of scientific system to improve the rapidity of operation
the poor operation ability is often caused by the weak thinking ability. In teaching, we should strengthen the reasoning training on the basis of students' mastering the basic knowledge. In normal practice, we should make sure that there is a basis step by step, there are sufficient reasons, and pay attention to the sequence of operation. Generally, we should pay attention to the following aspects:
1) training must be orderly. Practice must be planned and carried out step by step. In mathematics teaching, practice can be divided into three stages: first, imitation practice stage. This is an exercise carried out under the example demonstration of the teacher after learning the new knowledge. The difficulty of the selected exercises is not high and the change is not big. Students are required to operate according to the steps and rules of the examples to ensure the correctness of the operation. At this time, it is not appropriate to put forward the speed requirements; Second, the mastery stage. This is a study organized on the basis of students' preliminary mastery of knowledge and skills. The difficulty of the exercises is appropriately increased, and the forms of the exercises are changed. Students are not only required to operate correctly, but also required to summarize and summarize the process, basis and methods of operation after obtaining the correct answers, so as to promote the operation mode to the theoretical level; Third, comprehensive application stage. At this time, we can choose some difficult comprehensive questions to train students' ability to determine the direction of operation and flexibly use the rules
(2) carry out variant exercises. In order to make students skillful, we must organize variant exercises. The so-called variant practice is the change of concepts and rules under the condition that other effective learning conditions remain unchanged. For mathematical operations, it is to change the non essential characteristics of the problem and keep its structural components unchanged. The concrete ways include the change of expression of mathematical sentences, the exchange of conditions and conclusions, the change of problems and backgrounds, etc
(3) understand the effect of practice in time and correct the mistakes in practice in time. In ability practice, it is an effective way to let students know the effect of practice in time. Psychological research shows that if the following feedback information is provided to the students who are carrying out the ability training: ① know the score of each exercise; ② encourage and urge them continuously in the process of practice; ③ analyze the mistakes in practice, then the practice effect will be significantly improved. This is because, on the one hand, students know the problem according to the feedback information, so as to adjust the learning activities and make the practice more effective; On the other hand, it also increases learning motivation to strive for better results or avoid making similar mistakes again
3. The training of thinking flexibility in the process of operation
because mathematical operation is an intelligent operation with clear direction and in line with certain rules, after a certain amount of practice, this kind of operation experience will form a fixed reaction mode and play a tendentious role in the selection of operation direction in subsequent learning, This is the "set" phenomenon in learning. When the formed inertial thinking is consistent with the way to solve new problems, it can quickly respond and get the correct answer. The phenomenon of "shrinking" and "skipping" appears in the process of calculation. This is the positive role of the fixed trend, and also the sign of students mastering knowledge and skills. For example, through the study of "quadratic equation of one variable", students have mastered the skills of using formula method and factorization method to solve quadratic equation of one variable. In the later study of quadratic function, when they encounter the operations related to quadratic equation of one variable, they will quickly make the correct response. When the conventional way of thinking is not completely consistent with or contrary to the solution of new problems, it can not be solved in a simple and flexible way, and the operation process is tedious and tedious, which leads to the wrong solution of the problem. This is the negative effect of stereotype. In practical teaching, we should overcome and prevent the negative effect of "stereotype" and cultivate the flexibility of students' calculation
4. Pay attention to cultivate students' ability of operation rationality
reasonable calculation is to make full use of operation law, proct invariance and quotient invariance, change the data and order of operation, and make the operation as simple, fast and correct as possible. The cultivation of students' simple operation ability is not only the improvement of operation ability, because in the process of cultivation, it must involve the cultivation of observation ability, inctive ability and other abilities, so the cultivation of simple operation ability is actually the cultivation of comprehensive ability. At the same time, it is necessary to cultivate students' overall view of mathematical operation. Before calculation, students should have an overall view of the overall situation. They should grasp the steps of operation, what should be calculated first and then, what are the characteristics of the numbers in the title, and what contains information, etc.
computational ability and level are actually related to children's learning ability. Closely related. For example, 3.14x1.25. The calculation of this problem requires six steps of multiplication. There are three steps in addition. A simple calculation problem has nine steps. No matter which link of the nine steps is wrong, the problem is wrong. So this problem needs to be calculated correctly. First of all, in addition to ing the title right. In addition to basic computing skills, children also need to be attentive when they are calculating
Second, it is far from enough to have a fairly strong computing ability, because it is impossible to do the above in the exam, and there is only a simple calculation of one question. In the actual homework and examination, there are four mixed operations, which requires students to know what the operation order of the four mixed operations is, and to master the complex skills and formulas of simple operation
third. In the senior grade of primary school. There will be integers, fractions, decimals, and percentages. The transformation skills between them will be more complicated. At this time, students need to reserve not only some simple formulas. The calculation method of reserve special value is needed
we often listen to the front-line teachers. A child who is good at mathematical calculation is not so bad at mathematics. This shows that students with computing ability have basic computing skills. The basic method of simple operation. Calculation skills of special numbers
calculated children. Some of them may be born with better understanding, but most children have to go through a lot of hard, boring and basic training. It is impossible to do calculation at once. It's a long time. Tedious, boring process. For most ordinary children. Computing is like driving. If you want to be an old driver, you won't be an old driver unless you drive a certain number of kilometers, don't encounter all kinds of dangers, and don't rule out all kinds of difficulties.
in mathematics teaching, the accuracy of students' calculation has always been the main problem affecting students' performance. Many students always think that the calculation problem is much easier than the analytical application problem, and they have a solid knowledge of some rules, laws and so on. Calculation is an easy thing, so they are too confident or unable to concentrate in the calculation, and the results are full of mistakes. In this year's teaching process, I pay special attention to the calculation practice. Strengthen the calculation practice, improve the calculation ability, so as to improve the scores of the last 20% students. In junior high school mathematics teaching, the topics involving calculation content account for more than 55% in a test paper. In this sense, strengthening the teaching of calculation and effectively improving the accuracy of calculation is a very important aspect of junior high school mathematics teaching< First, the significance and importance of calculation. 1. Calculation is the cornerstone of learning mathematics. Mastering calculation will open the door to the kingdom of mathematics. In teaching practice, there is such a phenomenon: Although many students have mastered the calculation method, they often make calculation errors, and the accuracy of calculation is very low. This not only directly affects the learning effect of word problems and application problems, but also seriously hinders the improvement of students' mathematics performance. Therefore, we must improve the accuracy of students' calculation. 2. Number and calculation will accompany a person's life. A person in the alt after the need for mathematical knowledge, basically in the middle school stage to learn all. Therefore, it is beneficial to learn the basic knowledge of number and calculation and form a certain computing ability in middle school< Second, the reason for the low accuracy of calculation. 1. When asking students to analyze the causes of wrong questions, they often make mistakes such as "wrong reading and ing of the topic", "scribbled writing, ambiguous writing", "no draft in calculation, wrong addition and subtraction of one digit leading to wrong whole question", "no concentration in doing homework", etc. It seems that most of the reasons are as follows: & quot; Carelessness & quot; What is the cause of "carelessness"? There are only two aspects: one is that students' psychological quality is not mature enough, the other is that they have not formed good study habits. 2. At the same time, the calculation accuracy of some students is not very high, which also reflects that their calculation ability needs to be improved (for example, they are not familiar with multiplication formula, carry addition and so on); There may be a lack of a good habit of calculation, such as the habit of checking calculation. Many students ignore the role of "estimation" in calculation. This may have something to do with how much we usually teach and practice< Third, measures to improve the accuracy of calculation. As for teachers, it is necessary to adopt flexible methods to teach students in accordance with their aptitude, to make up for the deficiencies and to provide guidance for answering questions, to distinguish the situation, to correct the calculation errors, and to improve the accuracy of calculation, so as to cultivate students' good learning attitude and calculation habits, and to improve the quality of teaching. 2. Do a good job of demonstration and teach by example. Teachers are role models for students. In the classroom, the board performance conforms to the standard, and achieves both oral and personal teaching. Students should set a good example in comments, homework and examination paper correction, and teachers who require students to do it must do it first
3. Encourage and persevere. It takes a long time to form a good habit of calculation. In order to make the strict requirements persist, students must be encouraged to recognize the strict requirements of teachers and maintain a lasting interest in the implementation of calculation specifications. Only in this way can they graally form a habit. Students: 1, according to the general order of calculation. Make clear the meaning of the topic, observe the characteristics of the topic, and determine the operation order. 2. We should form a good habit of serious calculation. The data is clear and the drafts are arranged in a certain order. 3. We can't blindly pursue high speed. It is better to be slow than wrong, less than excessive
. 4、 The specific methods are as follows: 1. Strict calculation process, standard calculation draft, and standard calculation are the guarantee to improve the calculation accuracy. Students are required to have standard calculation format, neat and correct writing, and neat homework and test papers. Draft is a necessary means for correct mathematical calculation. Many calculation errors are caused by the Scribble and disorder of draft. In teaching, the draft also requires students to write neatly and orderly, and try their best to do oral arithmetic. During the test, the students are required to make a draft according to the usual requirements. The paper can be folded in half, and the draft corresponds to the question. This is helpful for students to review themselves in an orderly way, and there is no need to spend time rewriting the draft. It can save time and effort by directly comparing and checking. It is also helpful to cultivate students' rigorous, meticulous, honest and serious homework habits, overcome the bad habit of scribbling and littering the draft, help teachers find and analyze the causes of errors, and help students correct and regulate their future teaching
2, strict requirements, pay attention to detail
in order to make students develop good calculation habits, we must be strict, pay attention to detail and persevere. Strict requirements, strict in detail, strict in perseverance, the calculation of non-standard errors in homework, must be corrected, writing is not neat, the teacher must point out in time; If there are nonstandard calculation errors in the test, we should give detailed comments and teach methods in class; Open a "small kitchen" for students who make repeated mistakes. Self check and mutual check are carried out on the implementation of the calculation specification, so as to cultivate students' rigorous style of study from time to time. To cultivate students' habit of making correct drafts, at the beginning, they should correct the drafts in detail like correcting homework, and they should also correct the mistakes in the drafts seriously. When students graally form the habit, they should change the detailed ones into the simple ones, and the simple ones into the random ones, so as to focus on the students with bad habits.
1. Calculation is the cornerstone of learning mathematics. Mastering calculation will open the door to the kingdom of mathematics. In teaching practice, there is such a phenomenon: Although many students have mastered the calculation method, they often make calculation errors, and the accuracy of calculation is very low. This not only directly affects the learning effect of word problems and application problems, but also seriously hinders the improvement of students' mathematics performance. Therefore, we must improve the accuracy of students' calculation. 2. Number and calculation will accompany a person's life. A person in the alt after the need for mathematical knowledge, basically in the middle school stage to learn all. Therefore, it is beneficial to learn the basic knowledge of number and calculation and form a certain computing ability in middle school< Second, the reason for the low accuracy of calculation
1. When asking students to analyze the causes of mistakes, they often make mistakes, such as "reading mistakes and ing mistakes", "scribbling and ambiguous writing", "not making draft when calculating, one digit addition and subtraction errors leading to the whole problem", "not concentrating when doing homework", etc. It seems that most of the reasons are as follows: & quot; Carelessness & quot; What is the cause of "carelessness"? There are only two aspects: one is that students' psychological quality is not mature enough, the other is that they have not formed good study habits. Therefore, cultivating students' good study habits is not only the requirement of quality ecation, but also the premise of improving the accuracy of calculation
2. At the same time, the calculation accuracy of some students is not very high, which also reflects that their calculation ability needs to be improved (for example, they are not familiar with multiplication formula, carry addition and so on); There may be a lack of a good habit of calculation, such as the habit of checking calculation. Many students ignore the role of "estimation" in calculation. This may have something to do with how much we usually teach and practice< Third, measures to improve the accuracy of calculation. For teachers:
1. It is necessary to adopt flexible methods in time to teach students in accordance with their aptitude: to make up for the lack, make up for the difference and answer questions, distinguish the situation, correct the calculation errors, and improve the accuracy rate of calculation, so as to cultivate students' good learning attitude and calculation habits, and then improve the quality of teaching
2. Teachers are role models for students. In the classroom, the board performance conforms to the standard, and achieves both oral and personal teaching. Students should set a good example in comments, homework and examination paper correction, and teachers who require students to do it must do it first
3. Encourage and persevere. It takes a long time to form a good habit of calculation. In order to make the strict requirements persist, students must be encouraged to recognize the strict requirements of teachers and maintain a lasting interest in the implementation of calculation specifications. Only in this way can they graally form a habit< In terms of students:
1. Make clear the meaning of the topic, observe the characteristics of the topic, and determine the operation order. 2. We should form a good habit of serious calculation. The data is clear and the drafts are arranged in a certain order. 3. We can't blindly pursue high speed. It's better to be slow than wrong, less than excessive. 4、 Specific methods:
1. Strict calculation process and standard calculation draft are the guarantee of improving calculation accuracy. Students are required to have standard calculation format, neat and correct writing, and neat homework and test papers. Draft is a necessary means for correct mathematical calculation. Many calculation errors are caused by the Scribble and disorder of draft. In teaching, the draft also requires students to write neatly and orderly, and try their best to do oral arithmetic. During the test, the students are required to make a draft according to the usual requirements. The paper can be folded in half, and the draft corresponds to the question. This is helpful for students to review themselves in an orderly way, and there is no need to spend time rewriting the draft. It can save time and effort by directly comparing and checking. It is also helpful to cultivate students' rigorous, meticulous, honest and serious homework habits, overcome the bad habit of scribbling and littering the draft, help teachers find and analyze the causes of errors, and help students correct and regulate their future teaching
2, strict requirements, pay attention to detail
in order to make students develop good calculation habits, we must be strict, pay attention to detail and persevere. Strict requirements, strict in detail, strict in perseverance, the calculation of non-standard errors in homework, must be corrected, writing is not neat, the teacher must point out in time; If there are nonstandard calculation errors in the test, we should give detailed comments and teach methods in class; Open a "small kitchen" for students who make repeated mistakes. Self check and mutual check are carried out on the implementation of the calculation specification, so as to cultivate students' rigorous style of study from time to time. To cultivate students' habit of making correct drafts, at the beginning, they should correct the drafts in detail like correcting homework, and they should also correct the mistakes in the drafts seriously. When students graally form the habit, they should change the detailed ones into the simple ones, and the simple ones into the random ones, so as to focus on the students with bad habits
to sum up, the formation of students' good calculation habits, one is to strict requirements, strict training. Second, we should teach students some methods to make the calculation correct and effective. Third, we should actively ecate and encourage students to build up the confidence that they can calculate correctly psychologically, and strive to calculate correctly in behavior. The formation of this learning mentality will promote the improvement of students' calculation accuracy.
in addition, the calculation must be done carefully
1) don't rush to make a question.
2) force yourself to get used to it. Look at every word of the question carefully from the beginning to the end, and don't force yourself to judge the question from the beginning to the end.
3) don't rush to do it after reading it. Draw a diagram first.
4) don't rush to make a question after reading it, Do it step by step.
6) don't be too clever to do mental arithmetic or skip steps, but do it step by step.
7) finally, remember to check
Hello, I'm xiaoxinjun from Tianjin New Oriental junior high school.
the calculation ability reflected by the current students in their study is worrying. There are often calculation errors, and the calculation ability of students is generally poor, which directly affects their mathematics performance. Combined with my personal teaching practice, I think it should be divided into the following two different situations, take different countermeasures to improve students' computing ability
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it's not a careless problem, some calculation rules are not mastered, and the foundation is not strong enough
< / OL > -
strengthen the training of operation skills, and only by more practice can they be more proficient. Sometimes, if you don't choose the right method, the problem that can be solved by a simple method is complicated, which naturally leads to a greatly increased error rate
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strive to cultivate good computing habits. For example, let the students who don't like to make drafts find out the special draft paper, seriously make the drafts, and the students who don't have the habit of checking try to cultivate the habit of checking. When people, each student's situation is different, many times I also ask students to do some calculations directly in front of me, so that they can see the problem more clearly, solve the problem more timely, and directly improve the accuracy of the problem
< / UL >
many students, including parents, think that calculation problems are just careless problems, but they are not. Some students may not lay a good foundation for calculation in primary school, and it is difficult to add, subtract, multiply and divide, and they make repeated mistakes in junior high school. Sometimes calculation problems are far more than careless problems. It may be that students don't know the four mixed algorithms of addition, subtraction, multiplication and division. It may be that the memory of multiplication formula is not accurate and the root causes of the problems are uneven. Therefore, first of all, we need to make a comprehensive survey of students to understand what problems they have in the calculation, and then give targeted guidance, Aim at the source of these calculation errors, suit the remedy to the case, so as to get rid of the illness, rece the calculation errors, and graally improve the calculation ability
of course, many students recite the multiplication formula and master the four algorithms. Most of these students' calculation errors are caused by carelessness, and this part of students will generally suggest:
this summer vacation is a good time for you to surpass your classmates. I hope you can practice more and do more questions, or learn from our teacher how to improve your learning and computing ability. Don't underestimate the problem of calculation. Carelessness can lead to great tragedy. Now the college entrance examination is really a point difference, and your ideal school missed. To improve your computing power, we must start from the beginning, from the foundation
Thank you~Calculation is often ignored by people. The reason is that children in junior high school think that calculation is easy to learn. They will be able to calculate correctly if they listen carefully; And parents think that calculation does not need guidance, as long as careful, it will not make mistakes. So every time I see a child's calculation is wrong, I criticize him for being too careless and pay attention next time. But what about next time? No mistake
First, to find out and fill in the gaps in knowledge, and to guide specifically the thinking set of
refers to a kind of thinking inertia in which people consider problems and seek answers according to habits and relatively fixed thinking methods. There are both positive and negative aspects of stereotype. In a constant environment, stereotype helps children to react quickly, but in a changed situation, stereotype often hinders them from thinking actively, resulting in mistakes. For example: 7.6-6 = 7, 6.8 + 2 = 7. It is the negative influence of the thought pattern of the end alignment of integer addition and subtraction
to be able to seriously analyze the causes of calculation errors, and actively take measures to correct them, we can continuously improve the accuracy of students' calculation, develop a rigorous and serious learning attitude, and cultivate self-examination ability and good learning habits
