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How to learn junior high school mathematics well? What methods should be used
mathematics is a problem that many students are worried about. Many students have certain problems. The score of this subject is very low, so how to learn junior high school mathematics well? Is there any way to improve it
So if you want to learn mathematics well, you need many efforts, which is related to many factors. First of all, you can find your own way of learning, and then understand the characteristics of this subject, so that you can have a certain understanding, and then start to learn. I believe that through this article, you should know how to learn junior high school mathematics wellprimary school students often make mistakes in the process of computing e to various reasons, many parents and even teachers are completely attributed to their children's carelessness. In fact, this is only one of the reasons. To a large extent, it is the lack of comprehensive ability of children in calculation. For example, the basic knowledge such as operation law, operation property, operation law and calculation formula is not mastered or cannot be used reasonably and flexibly. Even though the child is very careful and serious in the calculation, he makes seemingly simple mistakes e to the lack of basic knowledge. In teaching, we can't be in a hurry for success. We need to help students find out the reasons (such as incomprehensible calculation theory, incomprehensible laws, unclear nature, unfamiliar laws, not mastering formulas, etc.), find out the omissions and fill the gaps, clear up the obstacles, and do a good job in basic work for further learning calculation
Second, in teaching, it is necessary to cultivate students' interest in computing, which is the key to improve students' computing ability
Einstein once said, "interest is the best teacher.". Confucius also said: "those who know are not as good as those who know well, and those who know well are not as good as those who are happy.". They all talked about the importance of interest. In the teaching of computing, we should stimulate students' interest in computing, let them fall in love with computing and be willing to do it. Only in this way can our teaching of computation be successful. Therefore, we should combine the content of teaching, pay attention to the diversification of training forms, teach in fun, so that the boring teaching of computing is full of vitality. For example, we can use multimedia, cards and other available learning aids and teaching aids to train students in such ways as visual calculation, listening calculation, snatching calculation, in-game calculation, calculation competition and self-made calculation, so as to fully mobilize students' enthusiasm, change students' passivity into initiative, and graally form a lasting interest in calculation
thirdly, in teaching, we should cultivate students' good computing habits, which is the guarantee of improving their computing ability
good computing habits directly affect the formation and improvement of students' computing ability. When doing the calculation problems, some students often have the attitude of contempt. Some calculation problems are not unable to do, but e to the bad habits of insufficient concentration, ing wrong problems, careless calculation, not checking calculation, etc. Therefore, in the teaching of calculation, it is also very important to pay attention to the cultivation of students' good calculation habits. In teaching, we should try our best to make the students form the habit of concentration, careful calculation, careful ing, conscious inspection, conscious estimation and checking. In addition, teachers should strengthen the guidance of writing format. The standard writing format can help students to prevent wrong writing, missing writing numbers and operation symbols, rece the chance of error, and improve the accuracy of calculation
Fourth, in teaching, we should strengthen practice, which is the magic weapon to improve our computing ability
Confucius said, "learn while you learn", "review the old and learn the new", which shows the necessity of practice. Only on the basis of mastering the calculation method, strengthen the practice, can we improve the speed and accuracy of calculation. Only in this way can we realize the knack of calculation and improve the ability of calculation in an all-round way. Of course, we should pay attention to the diversity of training strategies and methods, so as not to cause students' boring mood. For example, the training content should have levels: basic training (the purpose is to master the rules, operation laws, operation properties, calculation formulas, etc.); Targeted training (the purpose is to correct where students are most likely to make mistakes); The purpose of special training is to improve the speed and accuracy of calculation by strengthening memory and remembering commonly used calculation values. For example: the proct of the approximate value of PI 3.14 and one digit, the simplest fraction with denominator of 2, 4, 5, 8, 10 and the interaction of decimals, etc.) Training methods should be diverse, such as: competition, can improve speed; Game style, can improve interest and so on. There are many ways of training, such as: using multimedia; Use simple teaching aids and learning aids (self-made calculation cards, counters, playing cards, etc.)< In teaching, we should strengthen the training of oral arithmetic, which is a shortcut to improve the ability of calculation
oral calculation is the basis of calculation. The strength of oral calculation ability directly affects the speed and accuracy of students' calculation, so we should pay attention to the cultivation of oral calculation ability. First of all, classroom teaching should avoid rigid and single. It can be used in various forms. For example: the form of game can be used in the junior grade: such as "driving a train", "looking for friends", "looking for house number", "sending a letter", "right password", "winning the red flag", "breaking the barrier", etc; The middle grade can use the mental arithmetic board, the mental arithmetic table, the card, the slide or the game to carry on the training; Senior training methods can be named answer, rush answer, all answer, listen to count, count, etc; If we use the above different forms of training methods, if possible, adhere to the appropriate oral arithmetic training before each class, I believe it will be able to quickly improve students' computing ability< Sixth, encourage students to use oral arithmetic in life, which is an essential way to improve students' oral arithmetic ability
we should encourage students to use computing knowledge in our life, so as to make students have a sense of achievement and obtain pleasure. In this way, students will pay more attention to computing and mathematics, so as to improve their interest in learning mathematics. We know: computing is the most widely used in our life. Teachers can get the cooperation of parents, and often let students consciously participate in the calculation of shopping, car ride, travel and other expenses. This can not only improve students' awareness of the application of oral arithmetic, but also improve students' computing ability. It's really a double win with one stone
in short, computing teaching is a long-term and complex teaching process, and it is not a matter of one day to improve students' computing ability. It needs the joint efforts of teachers, parents and children to achieve good results. I hope that teachers, in the future in the teaching of computing bear fruitful results.
the reason why students feel that mathematics is difficult to learn is that they lack the ability of mathematical abstraction. In traditional teaching, the teacher directly tells the students what the abstract conclusion is, but does not let the students participate in the abstract process, leading to rote learning. Therefore, teachers should play a leading role, guide students to observe the essence through the phenomenon, understand the "abstract", and learn to summarize. Let students form their own mathematical proposition, mathematical thinking, teachers to correct and improve, for a long time, students will have the ability to learn knowledge independently< Second, to cultivate students' logical reasoning ability
thinking about every innovation and discovery in human history is inseparable from inction and analogy. In the classroom teaching, analogy is widely used to introce the relationship between the great inventions of human beings and logical reasoning in mathematics, so as to make full use of situational teaching and cultivate students' interest in learning mathematics. This requires students to boldly discover and put forward propositions. Some of their ideas will be new inventions in the near future, that is, axioms of theorems; At the same time, the essence of mathematical reasoning lies in dective reasoning. Famous syllogism constitutes a knowledge system of mathematics. Axioms, theorems and inferences are mostly syllogism. Dective reasoning is the cornerstone of modern civilization. When we tell students the syllogism reasoning mode, let students go to reasoning, grasp the basic form and rules of reasoning, and correctly write the steps of reasoning. Cause and effect are clear, writing has logical order, and the process of exploration and demonstration; Construct the proposition system, at the same time, apply what you learn, and use logical reasoning to solve problems in mathematics and life< Third, to cultivate students' mathematical modeling ability, students are required to discover and ask questions, and use known knowledge to build models; Solving the model; Test results and improve the model. Through mathematical modeling, students' ability to operate and understand knowledge can be cultivated, so as to combine theory with practice. Reflecting that mathematics comes from life and will be applied to life, mathematical modeling is a necessary requirement of the new curriculum standard, and an important embodiment of the combination of theory and practice, so that students can achieve the purpose of learning. In ordinary teaching, students are required to pay attention to collecting models and data, pay attention to classification, and prepare materials for mathematical modeling for a long time< The fourth is to cultivate students' intuitive imagination ability. For example, in the teaching of solid geometry and plane geometry, we encourage students to make their own models first, so that when we show the geometric figures, students will not be unfamiliar with them any more, and they can also find the positional relationship between points, lines and surfaces, which successfully avoids the rigid explanation and achieves twice the result with half the effort. At the same time, students are required to pay attention to observation in life, and form some mathematical intuitive models in their minds to feel the beauty of symmetry and curve in mathematics. Cultivate students' imagination ability, can organically combine number and shape. Therefore, in the process of teaching, we should guide students to view problems from the perspective of imagination, spare imagination, bold imagination, let students open up in the classroom, instead of restricting students with the traditional mode, cultivate imaginative talents in the new era< In general, the algebra part of mathematics is to define addition, subtraction, multiplication, division and related operations on the set to form an algebraic system and related conclusions, which requires students to understand operations, master operation rules, explore operation ideas, and design operation programs for operations. Operation is an important part of dective reasoning, a tool for the inheritance of human civilization, and a means for the cultivation of rigorous and realistic scientific spirit. Let students fully perceive the creativity of operation. Nowadays, many programs are implemented in big data processing. They are all in operation and value taking. Only when they have high operation ability can they recognize these programs. This is the call of the times and conforms to the requirements of historical development< In today's world, cloud computing, big data processing and other rapidly changing achievements are inseparable from data. Today's competition has become the competition of time, capacity and survival of the fittest, which requires students to have the ability of data acquisition, data analysis and knowledge construction. At present, we are in the era of diversified information, which requires human beings to have the ability to process information and data, in order to make computer technology better serve human beings. Usually let students pay attention to data collection, collation, classification, can cultivate students' ability in this aspect, starting from bit by bit, will eventually cast great achievements.
as a teacher, how to change the situation that most primary school students' computing ability is very weak
let's talk about the following personal opinions: first, in teaching, to make students understand and master the basic knowledge of computing, which is the premise of improving students' computing ability. Primary school students often make mistakes in the process of computing e to various reasons. Many parents and even teachers are completely attributed to their children's carelessness< In fact, this is only one of the reasons
to a large extent, it is the lack of children's comprehensive ability in calculation
for example, the basic knowledge such as algorithm, operation property, operation law and calculation formula is not mastered, or can not be used reasonably and flexibly
even though the child is very careful and serious in calculation, he makes seemingly simple mistakes e to the lack of basic knowledge
in teaching, we should not be in a hurry for success. We should help students find out the reasons (such as incomprehensible calculation theory, incomprehensible laws, unclear nature, unfamiliar laws, not mastering formulas, etc.), find out the omissions and fill in the gaps, clear up the obstacles, and do a good job in basic work for further learning calculation
Second, in teaching, it is necessary to cultivate students' interest in computing, which is the key to improve students' computing ability
Einstein once said, "interest is the best teacher.".
first, we should grasp every bit to cultivate students' good habit of calculation. Therefore, teachers should ecate students to form the following good calculation habits
1. The habit of paying attention to proofreading. In the homework, students are required to do three checks: check with the original title after ing; The numbers in the vertical type should be checked with those in the horizontal type; The number in horizontal should be checked with that in vertical
2. The habit of active checking. Checking calculation can not only ensure correct calculation, but also cultivate students' meticulous attitude towards learning
3. The habit of correcting in time. If the errors in the operation are common, they can be corrected collectively; If it's indivial, let the students correct it in time and find out the cause of the mistake, so as to avoid similar mistakes in the future
4. Develop a good habit of writing. The writing of numbers and operation symbols in the title must be standard and clear. The space between the numbers should be appropriate, the vertical type on the draft should be clear, and the numbers should be aligned
in addition, teachers should set an example for students. For example: the examination is first, the analysis is second, the writing on the blackboard is concise, the writing is standard, the key point is prominent, and the organization is clear< Second, pay attention to oral arithmetic and lay a good foundation for written arithmetic
it is pointed out in the "primary school mathematics curriculum standard" that to cultivate students' computing ability, we should pay attention to basic oral arithmetic training. Oral calculation is not only the basis of estimation, written calculation and simple calculation, but also an important part of calculation ability. Only when the ability of oral calculation is strong, can the speed of written calculation be accelerated and the accuracy of calculation be improved. For example, calculate 418 ÷ 53. Take 53 as 50 test quotient 8, and find that 53 * 8 = 424 by oral calculation, which is greater than the divisor, so we need to rece the quotient by one. In this way, we can avoid finding that the quotient 8 is wrong by oral calculation, and then erase this process, which can greatly improve the speed of calculation
thirdly, strengthen the estimation to promote the development of students' number sense
the new textbook attaches great importance to the cultivation of students' estimation ability. Practice has proved that cultivating students' estimation consciousness and ability and guiding students to form the habit of "oral calculation - Estimation - written calculation - Review" are concive to students to find out their deviations in solving problems in time, re think and re calculate, so as to prevent and rece errors and improve the accuracy of calculation
calculation teaching runs through the whole process of mathematics teaching. Only when the foundation is solid, can we calculate skillfully and simply on the basis of proficiency.
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