First, the era of brushing questions is really over, and mathematics learning should return to the essence. Examination paper is the biggest response of candidates to mathematics this year. I feel that the questions I usually practice have not been tested, but the questions are really fragments. For example, this year's national second volume, 2 1 title, gave children three boring conditions. Choose two to do a proof, and the third is the most basic mathematical deduction training, which has been done for ten years. For example, is the root number four rational or irrational? Is radicalism rational or irrational? Why? Know why, know why.
Second, the future is an era of applying what you have learned. What's the use of learning mathematics? This statement has been circulating for a long time. This year's college entrance examination, the programming problem of Chang 'e II South-to-North Water Diversion Project is to tell everyone that mathematics is the basic tool to solve practical problems and needs a closer connection between life and mathematics. For example, children learn the circumference and area of a circle in primary school. You can try to figure out how many noodles are needed to make a six-inch pancake and how far you can go by bicycle. Solving practical problems by using the learned mathematical knowledge may be the core of future research.
Third, the era of big languages has come completely. This year, the first volume of the whole country directly talks about Meng Xi in Shenkuo Lane, taking the number of members as the background for children to do the questions. This is just a small test. In the foreseeable future, the test of reading ability is likely to run through all subjects. It is possible that the next topic is nine chapters of arithmetic, and the classical Chinese translation will tell you what people in China were like more than 1000 years ago. I'll tell you how to use the tangent circle method in Liu Hui's annotation, and then let you calculate pi according to the material content. You already know, the answer is 3. 14 15926, depending on whether you can get it right. Therefore, this requires us to focus on cultivating children's reading habits and reading ability. To sum up, there are a lot of signals in this exam, so we must pay special attention.
The key to learning mathematics well is not to brush problems blindly, to solve problems with small tricks, to understand basic concepts in a down-to-earth manner, to make independent deduction and to master the transformation of pictures and texts. Many parents just don't listen and always want to do it quickly. This wrong learning inertia is the fundamental reason why everyone always finds mathematics difficult. Therefore, according to the law, I want to tell you that all shortcuts have traps, but there is no shortcut to learning. This is a quick method and a slow education.