How to avoid the single thinking mode caused by brushing questions and improve mathematical thinking ability?

Brushing questions is an effective way to improve mathematics ability, but if you rely too much on brushing questions, your thinking mode may be too single. In order to avoid this situation, we can adopt the following strategies to improve the mathematical thinking ability:

1. Understand rather than memorize: When doing a problem, try to understand the mathematical principles and logic behind the problem, instead of just remembering the steps to solve it. This can help us to use what we have learned flexibly when we meet new problems, rather than just applying templates.

2. Diversified learning resources: In addition to textbooks and problem sets, you can also get more learning resources by reading math-related books, watching teaching videos and participating in online courses. This can help us to understand and master mathematics knowledge from different angles and improve the breadth and depth of thinking.

3. Active thinking and exploration: When doing the problem, you can try to think about the problem yourself and find different ideas and methods to solve the problem. If you encounter difficulties, you can seek help from others or consult relevant materials. This can exercise your independent thinking ability and problem-solving ability.

Review and summarize regularly: in the process of learning, we should review what we have learned regularly and summarize our own learning. This can help us consolidate our knowledge and find our own shortcomings, so as to adjust our learning methods and improve our learning efficiency.

5. Cultivate interest: Interest in mathematics is an important driving force to improve mathematical thinking ability. We can cultivate our interest in mathematics by participating in math competitions, doing math projects and solving practical problems.

Generally speaking, improving mathematical thinking ability requires us to pay attention to understanding and thinking, diversify learning resources, actively explore and solve problems, review and summarize regularly, and cultivate interest in mathematics. Only in this way can we avoid the single thinking mode caused by brushing questions and really improve our mathematical thinking ability.