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Fifth grade arithmetic

Publish: 2021-04-19 21:15:03
1. Compared with the old textbook, the amount of calculation practice in the new textbook has been greatly reced, and the difficulty has also been reced a lot. However, I feel that the students' computational ability has dropped a lot compared with the previous students, the computational ability is poor, the computational speed is slow, and the computational error rate is high! To this end, I think the following measures should be taken: first, adhere to the practice of oral arithmetic, often unremitting“ In order to cultivate students' computational ability, we should pay attention to the basic training of oral arithmetic, insist on regular practice, and graally achieve proficiency. " This is the requirement of mathematics curriculum standard. In my teaching, I organized teaching and training in a planned, step-by-step and purposeful way, such as listening to arithmetic, reading cards and oral arithmetic, reading questions and calculating silently, and repeatedly emphasized that the first is correct and then fast. 2、 Strengthen the basic knowledge and improve the ability of written calculation. In the teaching of calculation, oral calculation is the basis of written calculation, and written calculation is the key. Written calculation plays an extremely important role in primary school mathematics teaching. No matter how advanced the technology is in the future, the ability of written calculation is always a necessary ability for primary school students. 1. To enable students to understand the basic knowledge of mathematics and master skills is the primary condition for the formation of computing ability. Each calculation is based on the corresponding concepts, rules, properties, formulas and other basic knowledge. If students don't understand these basic knowledge correctly and master them thoroughly, they can't calculate. Only after students understand and master the relevant operation properties, laws and skills, can they apply these knowledge in specific calculation to seek simple and reasonable methods, improve the accuracy of calculation and speed up calculation. 2. Strengthening practice and skill training is the key to the formation of students' computing ability. For example, in the calculation of four items of scores, we often encounter the situation that some students' calculation rules are correct but the calculation results are wrong. The reason for the error lies in the basic skills such as approximate score, general score or mutualization; Another example is the division of decimals, especially when the divisor is a decimal. The mistake is that when the divisor becomes an integer, the divisor does not expand the same multiple at the same time, resulting in a wrong quotient. So we should strengthen the training of basic calculation skills in calculation practice. 3. Memorize common data, improve the calculation speed. In the four operations, if students memorize some commonly used data, it will not only help students to achieve the "correct and rapid" requirements, but also help students to better master the skills of calculation. For example: special data with sum and proct of whole hundred and thousand (for example: 75 + 25 = 100 + 25) × 4=100 125 × 8=1000 The proct of the approximate value of PI 3.14 with one digit and the proct with several common numbers 12, 15, 16, 25 and 36; The denominator is the decimal value of the simplest fraction of 2, 4, 5, 8, 10, 16, 20 and 25, that is, the interaction of these fractions and decimals. The results of the above numbers, whether in daily work or in real life, are used very frequently. After mastering and remembering them, they can be transformed into abilities and proce high efficiency in calculation. 3、 Carry out computing competition activities. For the boring calculation, students often deal with it casually after mastering the calculation method, resulting in more calculation errors. At this time, the proper development of some computing competition activities, often can better mobilize the students' learning initiative, improve the interest in computing, and achieve the purpose of improving the accuracy of computing. This semester, I plan to carry out two calculation competitions in the class, in order to improve the students' interest in calculation and improve the accuracy of calculation. After the competition, pay attention to sort out the students' mistakes, analyze and classify them, and then make targeted remedies, so as to clear the obstacles for improving the students' computing ability. 4、 We should encourage students to have a pleasant learning experience. Teachers should encourage students to make mistakes e to carelessness. In the usual homework correction, we should affirm its strengths, enhance self-confidence, put forward ardent hope, and urge it to correct its shortcomings.
2. The mobile phone has fast and slow lens settings
however, we need to adjust it manually by ourselves. Turn on the camera of the mobile phone and slide it left and right to set it. Click the fast and slow camera to operate normally.
3. 1、 Guiding ideology:
the "new curriculum standard" points out that "to enable students to correctly carry out four calculations of integers, decimals and fractions, for some of the basic calculations, they should reach a certain degree of proficiency, and graally achieve reasonable and flexible calculation methods". Primary school calculation teaching runs through the whole process of primary school mathematics teaching, which is the basic knowledge and skills that primary school students need to master in learning mathematics. One of the main tasks of primary school mathematics is to cultivate and improve students' computational ability. Efforts should be made to cultivate students' computing ability so as to promote the reform of ecation and teaching and improve the quality of ecation and teaching< Second, the significance of research:
calculation is one of the important contents of mathematical knowledge. Mathematical calculation ability is a basic mathematical ability, which is an important basis for learning mathematics and other subjects. Calculation accounts for a large proportion in primary school mathematics textbooks, and the level of students' calculation ability directly affects the quality of students' learning. To improve students' computing ability is helpful to cultivate students' mathematical literacy, the ability to solve problems, and the quality of being earnest, meticulous, patient and fearless of difficulties. Therefore, how to improve the calculation ability of primary school students has become an important problem in primary school mathematics teaching< Third, the purpose of the project research:
through the research of this project, while effectively recing the burden of students, efforts should be made to improve the calculation ability of primary school students, cultivate their ability of oral calculation, estimation and written calculation, and develop good learning habits. Make students in lively, relaxed and happy learning slowly like mathematics, interested in calculation. So as to improve pupils' academic performance, lay a solid foundation for students' future study< 4. Measures for research
1
2. Carry out teaching research and reflection activities, constantly research and reflect in Teachers' daily teaching, and accumulate successful teaching cases
3. Carry out classroom teaching discussion activities with the theme of improving students' computing ability
4. Do a good job in routine teaching, starting from the details
1. Strengthen the teaching of calculation, teach new courses well, guide students to explore actively and thoroughly understand the principles of calculation
2. Practice strictly and form a good habit of calculation
3. Cultivate students' good habits of conscientiousness, carefulness, neat writing, standard format, careful examination and analysis
4. Cultivate students' habit of checking calculation consciously and correcting mistakes independently< (5) cultivate the habit of summarizing and reflecting. Students should prepare a wrong problem book, and extract some mistakes from their homework in their own wrong problem book, and write down the reasons for the mistakes and the ways to correct them. Students can communicate with each other, often doing so can learn from the usual lessons, and avoid or rece the mistakes in the future study< (6) strengthen the practice and use various forms to make students form skilled skills
5. Collect and summarize the research records and data< 5. Research contents:
1. The reasons for the slow speed and low accuracy of students' mathematical calculation
2. Find the teaching breakthrough and teaching training methods to improve the students' mathematical calculation speed and accuracy< Sixth, the implementation steps of the project:
(1) the first stage (2009.11-2009.12) preparation stage
1. Collect the materials accumulated in teaching practice, study the students' difficulties and obstacles in calculation habits and methods, and carry out relevant surveys
2. Determine the objectives, contents, measures and methods of the research
(2) the second stage (2010.01-2011.07) research implementation stage
1. According to the research content proposed in the research plan, the research work will be fully implemented
2. Make a systematic investigation on the current situation of students' learning habits and learning methods, focusing on the cultivation of students' general learning habits and the guidance of learning methods
3. Research on the cultivation of students' developmental learning habits and the guidance of learning methods
4. Implement the research plan, organize discussion and research according to the results of investigation and analysis, put forward some strategies to improve students' computing ability, and try to implement them
5. Take specific measures to strengthen the training of students' computing ability, enhance their self-confidence and cultivate their interest in mathematics
6. In the process of research implementation, read and refer to relevant theoretical books, write reading notes, cases, ecation essays, etc
7. Do a good job in data collection and sorting
(III) the third stage (2011.08-2011.10) summary stage:
collate the data, analyze the research, complete the summary and refinement of the research results, form the research report, and apply for the final acceptance
4. Compared with the old textbook, the amount of calculation practice in the new textbook has been greatly reced, and the difficulty has also been reced a lot. However, I feel that the students' computational ability has dropped a lot compared with the previous students, the computational ability is poor, the computational speed is slow, and the computational error rate is high! To this end, I think the following measures should be taken:
first, adhere to the practice of oral arithmetic, often unremitting
"in order to cultivate students' computational ability, we should pay attention to the basic training of oral arithmetic, insist on regular practice, and graally achieve proficiency." This is the requirement of mathematics curriculum standard. In my teaching, I organized teaching and training in a planned, step-by-step and purposeful way, such as listening to arithmetic, reading cards and oral arithmetic, reading questions and calculating silently, and repeatedly emphasized that the first is correct and then fast< Second, strengthen the basic knowledge and improve the ability of written calculation
in calculation teaching, oral calculation is the basis of written calculation, while written calculation is the key. Written calculation plays an extremely important role in primary school mathematics teaching. No matter how advanced the technology is in the future, the ability of written calculation is always a necessary ability for primary school students
1. To enable students to understand the basic knowledge of mathematics and master skills is the primary condition for the formation of computational ability
each calculation is based on the corresponding concepts, rules, properties, formulas and other basic knowledge. If students don't understand these basic knowledge correctly and master them thoroughly, they can't calculate. Only after students understand and master the relevant operation properties, laws and skills, can they apply these knowledge in specific calculation to seek simple and reasonable methods, improve the accuracy of calculation and speed up calculation
2. Strengthening practice and skill training is the key to the formation of students' computing ability
for example, in the calculation of four items of scores, some students often encounter the situation that the calculation method is correct but the calculation result is wrong. The reason for the error lies in the basic skills such as score rection, general score or mutualization; Another example is the division of decimals, especially when the divisor is a decimal. The mistake is that when the divisor becomes an integer, the divisor does not expand the same multiple at the same time, resulting in a wrong quotient. So we should strengthen the training of basic calculation skills in calculation practice
3. Memorize common data to improve calculation speed
in the four arithmetic operations, if students memorize some common data, it will not only help students to achieve the requirements of "correct and rapid", but also help them master the skills of calculation. For example: special data with sum and proct of whole hundred and thousand (for example: 75 + 25 = 100 + 25) × 4=100 125 × 8=1000 The proct of the approximate value of PI 3.14 with one digit and the proct with several common numbers 12, 15, 16, 25 and 36; The denominator is the decimal value of the simplest fraction of 2, 4, 5, 8, 10, 16, 20 and 25, that is, the interaction of these fractions and decimals
the results of the above numbers, whether in daily work or in real life, are used very frequently. After mastering and remembering them, they can be transformed into abilities and proce high efficiency in calculation
Third, carry out computing competitions
after mastering the calculation method, students tend to deal with the boring calculation, resulting in more calculation errors. At this time, the proper development of some computing competition activities, often can better mobilize the students' learning initiative, improve the interest in computing, and achieve the purpose of improving the accuracy of computing. This semester, I plan to carry out two calculation competitions in the class, in order to improve the students' interest in calculation and improve the accuracy of calculation. After the competition, pay attention to sort out the students' mistakes, analyze and classify them, and then make targeted remedies, so as to clear the obstacles for improving the students' computing ability
Fourth, encourage students to enhance the experience of happy learning
teachers should encourage students to make mistakes e to carelessness. In the usual homework correction, we should affirm its strengths, enhance self-confidence, put forward ardent hope, and urge it to correct its shortcomings.
5. Calculation ability is one of the basic abilities that primary school students must master. The new curriculum standard puts forward the teaching requirements of "making students correctly calculate integers, decimals and fractions, and achieving a certain degree of proficiency in some basic calculations, and graally achieving reasonable and flexible calculation methods." How to effectively improve students' computing ability, I would like to do the following:
first, oral arithmetic - strengthen the foundation of computing ability
oral arithmetic is a kind of ability that students must master, it is the basis of improving students' comprehensive computing ability. The teacher must be clear about the oral arithmetic skills that students should master in each learning period, and must let each child pass the test, otherwise he will fall behind in the future mathematics study
in the first grade, students must master the division within 10 and the addition and subtraction within 20, which is the most basic knowledge reserve. And then there is the nine nine multiplication formula table, all of which need to be memorized. In the third grade, we have some advanced math teachers who ask children to recite "19 × But all Korean pupils have to recite the "19" formula × Yotaro Fukuda of Japan said that the essence of intuition lies in recitation and mental calculation, and he has proposed reciting "29" × 29. And 25, for example × 4=100,125 × 8=1000,50 × 2,37 × 3 = 111, etc. In the fourth grade, I learned the decimal, which is also expanded in the above relationship, such as 0.125 × 8=1, 1.25 × 8 = 10, etc., 3.14 in the fifth grade × 2=,3.14 × 3=,3.14 × 4=,3.14 × 52=,3.14 × 6 =, and so on, children must learn to transform, draw inferences from one instance, practice makes perfect, because this is the basis of learning other mathematical knowledge< Second, calculation theory is the propeller to improve the ability of calculation.
a third grade teacher showed two such calculation problems on the blackboard when explaining three digits multiplied by two digits. The teaching fragments are as follows: ① ② teacher: what do 117 here mean (students compare, discuss.)< Students: 117 tens< Teacher: can you fill in 0 here< Student: Yes
(let students understand 13 × 9, its true meaning is 13 × 90, and it is clear that the numerical value is determined by the digit of the number.)< Teacher: now let's look at question 2. What do you find< Student: it's wrong< Students: from 213 tens to 213 ones
teacher: can you use the method of estimation to check
Student: 213 is equivalent to 200213 × 15 is equivalent to 200 × 15, it should be 3000, but 1278 is too far away
teacher: it's amazing that I can use my computing skills comprehensively
when teaching the volume of a cone in grade five, I divided the students into groups according to the experiment of science class, and each group determined a group leader, who was responsible for the division of labor, so that the students could truly experience the relationship between the volume of a cylinder and the volume of a cone. I remember an ecationist said: "I've seen it, I've forgotten it; I heard it, I can't remember it clearly; I did it, and I remember it. " It's more useful for students to understand arithmetic by hands than to do 100 questions< Third, game is the best teacher to improve computing ability. Teachers should consider how to mobilize students' enthusiasm and explore the motivation of learning. The nature of students is playful, teachers put knowledge into the game, I believe students will be more efficient in learning, enthusiasm will be stronger. For example, in order to cultivate children's understanding of the division of numbers within 10, the game of "find friends" is created: find out which two numbers are good friends in the following numbers, 496812, and the children will quickly find out and quietly master the "ten ways". Students will find out 182 and 118, 49 and 51. They are good friends respectively. Students are quietly using the "method of collecting 100", and 0.25 and 0.4, calculating 1.25 × At 16:00, I found 1.25 good friend 8 hidden in 16, so 1.25 × 16=1.25 × eight × 2
mathematics makes people smarter. As a mathematics teacher, you can't only teach the knowledge in textbooks all your life. Can you show off occasionally. When two digits are multiplied by two digits, ten digits are the same, and the sum of two digits is ten, then their proct is: multiply the mathematics of ten digits by the number and add 1 to get a new number, and then multiply the new number by 100; Multiply the two numbers on the digit and add them to the number obtained in the previous step. For example, 34 × 36, calculation 3 × 3 + 1) to get 12, and then multiply by 100 to get 1200; Calculation 4 × 6 gives 24, 24 plus 1200 gives 1224. It may seem unreliable, but doing so can really get the right answer. I believe that the students will look at you with new eyes, even to the ground. Or do a Sudoku problem with the students, teachers, we have to keep learning< In the teaching goal of number and algebra in primary school, mathematics curriculum standard says: we should pay attention to oral calculation, strengthen estimation and encourage algorithm diversification. Estimation is a kind of ability to approximate or precisely estimate the operation process or result. It is seldom used in classroom teaching, but it is especially useful in life
mathematics comes from life and serves life, so it has both mathematics flavor and life flavor. If children only do math exercises, it will suppress the enthusiasm of students. When teaching the knowledge of estimation, I created a situation of organizing students' spring outing and said to the children, "there are 52 students in my class, and there are 25 minibuses. How many cars do we want to rent?" The students began to discuss with each other, and said in their whole life: two cars are enough, 52 is equivalent to 50, 25 people in one car, just two cars. There was a crusade immediately. There were 25 people in one car, 50 people in two cars, and the remaining two people were running? The knowledge of estimation is used here“ Students, if we are going to have a picnic, how can we divide it up? " Here we use the knowledge of factors
when explaining the knowledge of four decimal operations, my homework assignment is to collect a shopping ticket, extract mathematical problems from it and solve them. The students' interest is also very high, and they get the support of their parents. At the parents' meeting, I specially asked parents to give full play to their children's role in mathematics
when South Korean mothers go shopping, they always bring with them the "19" they have already memorized × 19 "formula of the children go together, saying that" the price can be calculated immediately, very convenient. ". When all the people around the student are willing to accept his mathematical ability, what is his inner feeling? It's very useful to learn mathematics< 5. Habit, the stabilizer of developing mathematical ability
ecation is the habit of cultivating people. Our mathematical thinking ability benefits from the cultivation of our youth. In teaching, most teachers can pay attention to: the right questions, calculate the logarithm, decimal addition and subtraction to align the digits, and check carefully after finishing. In my opinion, the more important is:
1. Let the students' checking calculation write next to the problem solving, so that we can find the students' problem solving process, find the existing problems, don't put the hope on the inspection, the children have no patience to carefully check after finishing the problem quickly. So the key is to find out his weakness in the process of solving the problem
2. Mistakes are accumulating. Knowledge lies in accumulation, and belief also includes wrong topics. For each test or assignment, ask students to the wrong questions in the wrong book, analyze the reasons, and do it again a week later
3. The roll surface should be clean. Writing carefully shows that students can analyze and think calmly, and the probability of errors is small. The long feifeng paper shows that students lack of deep thinking in problem-solving, and their learning attitude is not serious, and their grades are certainly not ideal.
6. 1. Combine theory with practice to stimulate students' interest in learning
an essential part of mathematics calculation teaching in primary school is the practice from different angles for a knowledge point. We can introce some phenomena in real life into mathematics application problems. Mathematics learning, like Chinese learning, needs to build a good classroom background for students to carry out classroom teaching more effectively. In the stage of decimal mathematics, although the overall difficulty of mathematics is not big, but it involves many branches of content, basically covering the commonly used mathematical calculation, geometric calculation, fraction calculation in our life, the amount of information is still very large. At the same time, the characteristics of primary school students are more active, if the teaching method is too boring, it is not easy for students to understand. Mathematics should also be vivid and specific. In the process of class, teachers can combine with the actual situation to demonstrate the mathematical knowledge to students. For example, after studying the fifth grade mathematics volume I "decimal multiplication" and "decimal division" published by people's ecation press, you can ask the students how many hours it takes to pave a section of highway with asphalt for 2.5 hours and 50 meters? Through the students to solve this problem, not only consolidate the knowledge, but also exercise the students' thinking and analysis ability and the ability of column calculation, so it is better than the simple 50 ÷ 2.5 this kind of calculation problem is more concive to the improvement of students' comprehensive quality of mathematics. In teaching, we can make use of the students' active and competitive psychology to design some mathematics games, such as: driving a train, winning the red flag, mathematics turntable, poker games, etc., which stimulate students' interest in learning, encourage each student to actively participate in, and receive good results
2. Be flexible and draw inferences from one instance
in the teaching of calculation, we should make students learn to be flexible and draw inferences from one instance; For example, the content of the textbook is relatively simple, and we need to turn the problem of tree planting into various questions, such as:
(1) number of trees: there is a 1600 meter long highway, and how many saplings are needed to plant a tree every 20 meters from the beginning to the end of the highway
(2) spacing: trees are planted on both sides of a 250 meter long road, both at the beginning and the end. A total of 101 trees are planted, and the distance between each two adjacent trees is equal. Do you know how many meters it is
(3) total length: 95 trees are planted on one side of a section of road, both ends of the road, and the distance between each two trees is 5 meters. How many meters is the total length of this section of road
(4) closed graph: a willow tree is planted every 2 meters around a circular pool, and a total of 40 trees are planted. How many meters is the perimeter of the pool
through various comparisons, students can learn by analogy and grasp the useful known conditions in the problem stem. Teachers should take the problem-solving process as the most important teaching content in the whole teaching process, so that students can know how to think and why to think in the process, and then compare their own thinking process, so as to improve their logical ability, Cultivate mathematical thinking ability
3. Simple calculation method is used to improve the operation efficiency
the potential of primary school students needs to be guided and stimulated by teachers, especially in the way of thinking and problem solving. In the teaching of mathematics calculation in the fifth grade of primary school, teachers need to teach students a clear idea to solve problems, and at the same time, they should pay attention to cultivate students' serious study of problems. In the teaching of calculation, simple calculation should be appropriately adopted to enable students to master regular knowledge and pay attention to inction and summary. One of the most important aspects is the application of simple algorithm. For example, in the fifth grade of PEP school Volume I decimal multiplication exercise, 9.5 × 11. This kind of calculation problem, many students still according to the original calculation method, using column and multiplication formula to carry on the tedious operation, although the result is correct, but it is a waste of time and energy. So you can use a simple algorithm. For example, in the example just now, you can decompose 11 into 10 plus 1, and then multiply them with 9.5, and add the results together to calculate the result accurately. Of course, if you have enough time in the exam, you can use column type to check and improve the accuracy. For primary school students, a big mistake in learning mathematics lies in the treatment of headache and foot pain, which is a very common mistake. Only from the operation of logarithm, we see the importance and possibility of analogy. If you want to calculate the value quickly, you should be able to estimate, judge, check and move the decimal point skillfully
4. Grasp the details and cultivate good study habits
many middle school students tend to be careless in calculation, lack of self-examination ability, and details determine success or failure. To improve their calculation ability, correct learning attitude and good learning habits are indispensable. Therefore, our teachers must start from every bit and strictly require students to listen to the class carefully, read the questions carefully, and finish their homework conscientiously and independently. Not easy to ask others or eager to get results. And let students set up "can do the problem must not be wrong" thought. We should do our homework carefully and neatly. The standard writing format can easily record the calculation methods, steps and ideas, and prevent the wrong writing of numbers and operation symbols. At the same time, we should cultivate students' habit of using draft paper when they calculate, and write clearly to facilitate examination. The habit of checking calculation can greatly improve the accuracy of homework. There are many methods for checking calculation, among which the inverse operation is one of the effective methods. Of course, many of the mathematical problems can be solved by one problem and many methods can be used to improve the accuracy
in the process of teaching, teachers "teach fish, not teach fish", combine theory with practice, stimulate students' interest in learning, through flexible questions, let students draw inferences from one instance, use simple calculation methods in the process of calculation, improve the efficiency of calculation, and cultivate students to develop the habit of consciously checking and correcting mistakes, For the future study and life to lay a good foundation.
7. There's only one way, and it's a stupid way: practice as much as you can. As the oil seller said: no other, only hand familiar.
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