How can children learn mathematics well and improve their grades?

In the previous article, we learned together: How to tutor children in Chinese. Next, let us learn together how to tutor children in mathematics! Wang Li, an outstanding teacher at the municipal level in Beijing, pointed out in the book that there are eight main cores in mathematics learning: students\’ number sense, symbolic awareness, spatial concept, geometric intuition, data analysis concept, computing ability, reasoning ability and model thinking. Next, let us learn one by one. 1. Number sense. Number sense is the understanding of numbers and quantities, quantitative relationships, and estimation of operation results. Establishing number sense helps students understand the meaning of total numbers in real life and understand or express quantitative relationships in specific situations. [Must-have for full marks in mathematics] All 12 volumes of first-grade primary school mathematics oral arithmetic exercises can be downloaded in ultra-clear pdf2, symbol awareness. Be able to understand and use symbols to express numbers, quantitative relationships and change patterns, and know that symbols can be used to perform operations. 3. Concept of space. Abstract geometric figures based on the characteristics of objects, imagine the actual objects described based on geometric figures; imagine the orientation and positional relationship between objects; describe the movement and changes of figures, draw figures based on language descriptions, etc. 4. Geometrically intuitive. Analyze problems using graphical descriptions. With the help of geometric intuition, complex mathematical problems can be made concise and vivid, which can help to explore ideas for solving problems and predict the results. Geometric intuition can help children understand mathematics intuitively and plays an important role in the entire mathematics learning. 5. Data analysis concepts. To understand many mathematical problems in real life, you should first investigate and analyze the data, make judgments through analysis, and understand the information contained in the data; to understand information, you can use multiple analysis methods for the same data, and you need to choose the appropriate one based on the background of the problem. Methods. 6. Computing ability. The ability to perform calculations correctly based on laws and calculation rates. Cultivating computing ability helps students understand the principles of computing and seek reasonable computing methods to solve problems. 7. Reasoning ability. The development of reasoning ability runs throughout the entire mathematics learning process. Reasoning is the basic way of thinking in mathematics and is also a way of thinking often used in learning and life. 8. Model thinking. The establishment of model thinking is the basic way to experience and understand the connection between mathematics and the external world. So, as parents, what math learning activities can we do with the school? 1. Oral arithmetic practice. Oral arithmetic is a kind of ability, and oral arithmetic can also be trained and improved. Children who are good at oral arithmetic can save a lot of time and improve their homework efficiency. ​What should we pay attention to when raising children’s oral arithmetic skills? The complete 5-volume Weird Science Series pdf of interesting elementary school math questions and answers ① quantity. Oral arithmetic must be persisted every day, and a fixed number of questions must be done every day. Do not increase the number of questions just because the child gets it right, or decrease the number of questions because the child makes many mistakes. ②Speed. It is best to complete the oral speaking within the specified time. If the child does the five-minute oral calculation for half an hour, the exercise is of little significance. The general requirement is fifty questions in five minutes. ③Standard. Standards can be measured from several perspectives: speed, quantity, and writing method. The highest requirements are fast speed, large quantities, good writing, clever methods, and clever calculations in oral arithmetic.In this way, parents should encourage their children to challenge. ④Evaluation. We need to evaluate the implementation of children\’s learning tasks. Parents\’ evaluation form can be flexibly formulated according to the child\’s own situation, but activities without evaluation mean that they have not been completed. 2. Computational training. Calculation ability is the most important ability for students, accounting for 70% of the score in every assessment. Because most mathematics questions are ultimately presented in the form of calculations, the strength of their calculation ability directly affects children\’s mathematics scores. 3. Practice calculation methods. ①Cultivation of number sense. Number sense is a basic quality of people. It is the attitude and awareness of people to actively and consciously understand and apply numbers. People with good number sense have a keen and strong understanding of the meaning and operations of numbers. For example: when a child with good number sense sees 98, he will not only think of it as \”90+8\”, but also \”100-2\”, which is a multiple of 49. When the calculation is like \”98+76\”, there is no need to use the vertical form. Just take 2 from 76 and give it to 98. Do the mental math and you will know that it is 174. Therefore, cultivating number sense does not weaken calculation ability, but enhances it. ②Cultivation of good calculation habits. As parents, when our children first start learning vertical calculations, we need to make them pay attention to \”two books and two lines.\” The \”two books\” refer to the calculation book and the calculation book respectively. Calculation can cultivate children\’s rigorous attitude in doing things and the method of thinking before acting. The calculation book is used to let children do several calculation problems every day, so that they can master various calculations proficiently. It not only promotes the proficiency in calculations, but also improves the accuracy of calculations. The “two lines” are polyline and vertical line respectively. The characters in a calculation book are of different sizes. You can use them however you want on each page. This is not allowed. Children should be asked to fold the lines according to the requirements of the topic and behave in a disciplined manner. Many children find it troublesome to use a ruler, so they draw and write randomly, and their writing is very irregular. Good writing habits are a guarantee of correctness, so let your children develop a good habit of using a ruler. ③Reward and punishment measures. For their children\’s training or homework, parents cannot just praise them, but they must also punish their children. Praise education is not education without principles, but must follow certain standards. ④The most important thing is persistence. The formation of any ability requires a long process. When something is done as a habit, the child\’s ability is formed. ⑤Learn to respect. Parents should not force their children to calculate in their own way. As long as the child can tell the truth in one way, we must respect it and don\’t force it. 4. Cultivation of spatial concepts. When children are learning some geometric shapes, parents can guide them to observe objects in life. For example, buildings, cardboard boxes, books, chimneys, etc. allow them to initially establish the impression of cuboids, cubes, and cylinders. You can also let your children fold and cut by hand. The establishment of spatial concepts is a very difficult process for children. In the classroom, due to space and hardware limitations, it is impossible for teachers to provide children with enough learning materials, so parents are fully equipped to make up for it. Parents can buy some model stationery for their children, which can not only cultivateChildren\’s hands-on ability can also cultivate children\’s observation skills. In addition, parents can also cultivate their children\’s spatial concept by letting them practice painting, social practice, and encouraging children to do things. 5. Training of mathematical logical thinking. Logical thinking is an important thinking ability in mathematics and we must not ignore it. (1) Speaking it out is more important than figuring it out. Many children\’s mathematical thinking has not been developed, they just don\’t know what they think, and they just base it on the teacher\’s samples. This learning method is very undesirable. In order to better develop children\’s thinking ability, parents can ask their children to tell us what they are thinking when doing homework. Talking about a question is much more important than calculating a question. Children who express clearly will generally have better mathematical logic. Very strong. (2) Multiple methods are more important than doing more questions. We should encourage children to use a variety of methods to solve problems when they encounter them and stimulate their innovative thinking. (3) Inquiring is more important than listening. Many parents will take the initiative to talk to their children when they encounter problems, which is also undesirable. We should listen to how much the child can understand and find ways to help the child clear the obstacles that he or she does not understand. (4) Innovation is more important than solving examples. In life and study, we must encourage children to open their minds, not easily deny their judgments, and let children become confident in the process of self-thinking. The world of children is colorful, and they can often give us adults many wonderful ideas. The above is the focus of our primary school mathematics learning, and the general direction that parents should grasp when helping their children with homework. Let’s learn together!