Collect computing power
at present, the computing power of bitcoin in the whole network has reached 2.36 billion hash collisions per second, which is equivalent to the number of water droplets in more than 200000 50 meter long standard swimming pools. But even with such a large amount of computing power, it will take about 10 minutes to hit a hash value that meets the requirements
in 2012, bitcoin's output was halved for the first time, and in July 2016, bitcoin's output was halved for the second time. At present, 12.5 bitcoins are awarded for recording one page of account book. The next halving will take place around 2020, and the total number of bitcoins will not increase by 2040, with a total of 21 million. In other words, the difficulty of digging bitcoin is increasing, while the time required is increasing
computational ability is the basic ability necessary for students to learn mathematics and the basis of learning mathematics. One of the main tasks of primary school mathematics is to cultivate and improve students' computational ability. The accuracy and speed of calculation will directly affect the quality of students' learning. Many students always think that computational problems are much easier than analyzing and solving problems, so they are overconfident or unable to concentrate in calculation, resulting in many mistakes. Therefore, calculation teaching can not be ignored. How to improve students' computing ability and make them calculate correctly, quickly, flexibly and reasonably? In the teaching work, I have done some discussion and research, and achieved some good results. I summarize the following experience:
first, find problems and change students' understanding< The main types of students' errors are as follows:
(1) reading mistakes, ing mistakes and scribbling. 6 and 0, 1 and 7 are ambiguous
(2) when the column is vertical, the digits are not aligned
(3) do not draft when calculating
(4) one digit addition and subtraction calculation errors lead to errors in the whole question< (5) when doing homework, they don't concentrate.
judging from the calculation errors of some students, there are two reasons for "carelessness": one is that children's physical and psychological development is not mature enough, the other is that they don't form good study habits. On the one hand, it is a natural growth process; on the other hand, it can be cultivated by corresponding methods. Therefore, while guiding students to analyze the reasons, it is necessary to highlight the cultivation of students' good learning habits, which is the key to improving their computing ability and the basic requirement of quality ecation< Second, cultivate students' good habit of calculation
most of the errors in calculation are caused by carelessness, carelessness, scribble and other bad habits. Therefore, a good calculation habit is the guarantee to improve the calculation ability. In the calculation training, students are required to do one look, two think, three calculate, four check
1. Look: it's serious. How can the result be correct if all the questions are copied wrong? Therefore, students are required to check with the original question or the previous formula in time when ing questions and calculating each step, so as to avoid ing wrong numbers or symbols. There are three points to be done: 1) check with the original question after ing the question; ② Check the numbers on the vertical type with those on the horizontal type; ③ Check the number in horizontal form with that in vertical form
2. Thinking is to examine the topic carefully. When guiding students to do a calculation problem, they should not pick up a pen to do the calculation. They must first examine the problem, make clear what the problem should be calculated first and then, and whether there is a simple calculation method, then they can do the calculation. In addition, the calculation must be accurate first, and then fast
3. Calculation: it means to write and calculate carefully. The writing of assignments and exercises should be neat, not scribbled, and the format must be standardized. The writing of numbers, decimal points and operational symbols in the title should be especially standardized. There should be appropriate intervals between the numbers, and the vertical type on the draft should be aligned and organized. The calculation should be concentrated and not rush
4. Check: it means calculating carefully. After the calculation, we should first check whether the calculation method is reasonable; Secondly, check whether the numbers and symbols are copied wrong, and whether the decimal point is written wrongly or omitted; Thirdly, we should check and calculate every number and final result in the process of calculation. Therefore, it is an important way to cultivate good learning habits to prevent calculation errors and improve calculation ability
Third, collect the types of wrong questions to suit the remedy to the case
I usually design the requirements for students in this way: judge the right and wrong → find out the wrong place → analyze the cause of the error → correct → summarize the methods to prevent similar errors. There are many forms of exercises: single exercises can be done, such as judging questions, finding out the mistakes in each question, correcting the mistakes and so on; You can also do comprehensive exercises; All kinds of wrong questions can be printed on the homework paper and sent to students for correction in class, or students can take out their own homework book and wrong question book and re analyze and revise the wrong questions in their homework.
in a word, the cultivation of students' computing ability should be carried out in the whole process of primary school mathematics teaching, which not only strengthens the training of students' basic skills, but also improves the teaching efficiency, At the same time, we should also pay attention to the targeted training of students. As long as we carefully study, constantly summarize and improve the work, and seriously dig out the ability factors in the calculation problems, the students' calculation ability will be improved.
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Xi'an Hope it will help you
if the price can not be stable and fluctuates too much, bitcoin and other digital currencies will always be a game
however, one thing is that its powerful anonymity and separation from government regulation play a significant role in the dark network.
1. Add, subtract, multiply and divide in the table (applicable to grade one and two students)
2. Vertical calculation of addition, subtraction, multiplication and division (applicable to the third and fourth grade students)
3. Simple operation and equation solving (suitable for the fourth and fifth grade students)
4. There are more than ten typical problems in primary school (which can be used in grade 4, 5 and 6)
features: it can score in real time, and you can see the test results immediately after clicking "hand in the paper". If you don't know what your mistake is, you can click the "help" button (you can ask for help only after you hand in the paper) to check the correct answer. The time, item, score and time of each test are saved in the score record
after use, if you think the software is helpful to your students or children's learning, please share it with your colleagues or friends
just search for "calculate my best" in wechat applet, come and have a try!
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
thank you! I don't know what you mean by computing power, whether it's speed and accuracy, or just like the most powerful calculation in the brain. I think that children's learning can not hurt Zhong Yong, but can't help others. As parents, children's learning is mainly encouraged, supplemented by ecation. To make them have a strong interest in learning and create a strong learning atmosphere, parents should set an example! Let's see which is the weak item in children's calculation of addition, subtraction, multiplication and division. Let's focus on which aspect to strengthen and break it one by one. We should tell the process of calculus step by step, and understand it. Then through a large number of exercises to track, stimulate the brain to proce stress and thinking inertia, practice makes perfect! No move, no move! All the premise or to cultivate interest in learning, or are on paper! It's not easy to type in cold weather. Thank you for your approval
1. Accurately understand and firmly grasp the concepts, properties, formulas, rules and some commonly used data required by various operations; The deep understanding of concepts, properties, formulas and rules directly affects the choice of methods and the speed of operation. The concept is fuzzy, the formula and the rule are ambiguous, which will certainly affect the accuracy of the operation. In order to improve the speed of operation, it is necessary to memorize some commonly used data. For example, the square of natural number within 20, simple Pythagorean number, special trigonometric function value,,,,, LG2, Lg3, e accurate to approximate value of 0.001, etc< Second, master the general methods and rules of operation, and flexibly use concepts, properties, formulas and rules for operation. Teachers can combine the content of teaching materials, compile and collect some flexible exercises, cultivate the flexibility of students' calculation, and guide students to collect, summarize and accumulate experience to form skilled skills, so as to improve the simplicity and rapidity of calculation< Third, pay attention to the typical demonstration of teachers and examples, and make clear the goal of solving problems, the steps of calculation and the basis. Through the typical demonstration, the transition from understanding knowledge to application knowledge is relatively smooth, thus forming the computing ability< The essence of mathematical operation is to dece the result from the known data and formula according to the definition and properties of operation, which is also a process of reasoning. Whether the operation is correct or not depends on whether the reasoning is correct. If the reasoning is not correct, the operation will be wrong. We should pay special attention to the equivalent transformation in operational reasoning< 5. Pay attention to the training of the ability of identity transformation of number and form
1. Sign transformation, for example, sign transformation when removing brackets and adding brackets
2. Reciprocal transformation, such as addition and subtraction, multiplication and division, power and root, differential and integral, etc
3. For example, A2 + B2 = (a + b) 2-2ab, etc< For example, given X-Y = 3, Y-Z = 5, finding x-z can decompose x-z = (X-Y) + (Y-Z)< For example, introcing auxiliary elements, constructing auxiliary functions, adding auxiliary lines, adding parameters and so on< Sixth, strengthen the operation practice. Any ability is formed and developed in certain practical activities. In order to effectively improve the students' operation ability, we must strengthen the practice. The practice should be purposeful, systematic and typical. Through changing, changing, solving and using one question, we can cultivate the proficiency, accuracy, flexibility and organization of calculation. In the form of question group training