1. Understanding the background of the topic: Before solving the problem, we must first understand the concepts, formulas and theorems involved in the topic and clarify the requirements and conditions of the topic. For more complicated topics, you can look at the topic first, understand the general content and requirements of the topic, and then carefully analyze the conditions and details. Make a solution: after understanding the problem, make a detailed solution.
2. This plan should include the steps to solve the problem, the knowledge points to be used, possible problems and solutions. Making a problem-solving plan is helpful to solve problems in an orderly way and avoid omission or repetition. Use known information: In the process of solving problems, we should make full use of the known information given in the topic. This information usually contains key clues to solve problems through analysis and reasoning.
3. Important conclusions can be drawn. Choose the right solution: Choose the right solution for different types of problems. For example, for algebraic problems, algebraic formulas and substitution methods can be used; For geometric problems, auxiliary lines and similar triangles can be used. For probability problems, we can use tree diagram, permutation and combination, etc.
4. Simplify the problem: For a complex problem, it can be decomposed into several simple sub-problems and solved step by step. This can reduce the difficulty of the problem and make it easier to find a solution to the problem. Pay attention to details: pay attention to details in the process of solving problems. Such as unit conversion, sign, etc. These details often determine the accuracy of the answer.
The benefits of learning mathematics
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Cambridge, majoring in financial mathematics at Carnegie Mellon University in the United States, said that studying mathematics has brought her mental exercise and made me pay more attention to the rigor of thinking in my life.
For example, before solving a problem, I like to divide it into several sections, and each section is divided into several steps, so that I can dig slowly like a branch instead of thinking in confusion in front of a pile of data. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.
Can manage money better than others. The application of mathematics in life is everywhere. Nowadays, the society is already an information society, and mathematical knowledge is used in financial management and computers. Warren Buffett is very powerful, but Buffett's power is also based on mathematics. Buffett's decision-making process is actually the method of using subjective probability.