Alternative verification method
Substitution verification method is also an effective and simple algorithm, which is mostly used to solve the situation with known conditions. Most of these problems are subproblems. For example, in the operation of quadratic function, quadratic function solves this analytical formula through two points in the problem. If you don't want to do equation calculation, you can directly substitute the data into the analytical formula in the answer and choose the correct answer.
Common mathematical thinking methods
1, the idea of combining numbers and shapes: According to the internal relationship between the conditions and conclusions of mathematical problems, we not only analyze their algebraic significance, but also reveal their geometric significance, so as to skillfully and harmoniously combine the quantitative relationship with figures, and make full use of this combination to seek the idea of disintegration and solve problems.
2. The idea of connection and transformation: Things are interrelated, restricted and transformed. All parts of mathematics are also interrelated and can be transformed into each other. When solving problems, if we can properly handle the mutual transformation between them, we can often turn the difficult into the easy and simplify the complicated. Such as: substitution transformation, known and unknown transformation, special and general transformation, concrete and abstract transformation, partial and whole transformation, dynamic and static transformation and so on.
Clear the train of thought from the perspective of problem thinking and cultivate students' ability to solve problems
In addition to explaining concepts, efficient classroom teaching mainly focuses on the cultivation of problem-solving ability. Students should not only understand the examples, but also do a lot of exercises. In problem-solving training, teachers should first guide students to analyze the meaning of problems, clear their minds, and then start solving problems. When cultivating students' problem-solving ideas, teachers can ask students to think in strict accordance with certain problem-solving procedures, thus forming good problem-solving habits.
When thinking about solving problems, students should first read the questions carefully, find out what the questions are about, and clarify the relationship between the data before solving problems. If necessary, the relevant data relations can be listed first to improve the efficiency and accuracy of solving problems. For example, when learning the method of finding "scores", teachers don't have to rush to answer questions first, but guide students to think about who is whose score. After thinking, students know that it is easy to solve problems by multiplication. From examining questions, thinking, discovering laws and finally solving problems, students' thinking is unclear, forming a good habit of thinking and solving problems, and the learning process is easy to improve efficiency and quality.
The above are the methods and skills I have compiled for you to solve the big math problems in Grade One.