The mathematics content with great practical significance contains profound mysteries, which is thought-provoking and surprising. Mathematics is like a pearl shining with human wisdom, which has attracted countless mathematics lovers for thousands of years and made them dedicate their talents and wisdom on the road of exploring mathematics. Mathematics is like a tutor who can't live without it at any moment, because this subject has great practical value. As some mathematicians have said, "In the world of mathematics, there are even some picturesque scenery." Kalinin once said: "Mathematics can make people's thoughts disciplined and teach people to think rationally. No wonder some people say that mathematics is the gymnastics of thinking. "

Willing to think. To really improve mathematics ability, we should cultivate the following six aspects of thinking ability.

Think about cause and effect.

After solving the problem, we should think about what knowledge points, known conditions and their relationships are used in the process of solving the problem, which conditions are not used, whether the results are consistent with the meaning of the problem or real life, and whether the judgment of the problem-solving process is well-founded and rigorous, which can encourage us to explore and discover the law boldly, thus stimulating creativity.

Think regularly.

After solving problems, we should pay attention to the methods used, conscientiously sum up the rules, and achieve the purpose of drawing inferences from others, which is conducive to strengthening the understanding and application of knowledge and improving the transfer ability.

Think more.

After solving the problem, we should pay attention to whether there are other solutions to this problem. Which of the many solutions is the simplest? In solving problems, adhering to various solutions can not only exercise the divergence of our thinking, but also cultivate our ability to solve problems and innovative consciousness by comprehensively applying what we have learned.

Think flexibly.

For a topic, don't be limited to it, but change and extend it appropriately, so as to cultivate the flexibility of thinking and make our thinking profound and smooth. After solving the problem, we should pay attention to further popularizing the solution and conclusion of this question, and think about whether we can get more useful universal conclusions-draw inferences from one example, solve more questions and change more questions, which is conducive to opening our minds.

Think about classification.

The purpose of doing the problem is to summarize and classify all kinds of problems after finishing the problem. After solving the problem, recall the exercises of the same kind as the problem, compare them, analyze their solutions, find out the methods and skills to solve this kind of problem, and achieve the purpose of drawing inferences from others. Over time, skills will be formed, and the efficiency of solving problems will naturally be greatly improved.

Think wrong.

After solving the problem, we should think about the places that are easy to confuse and make mistakes in the examination questions, sum up experiences and lessons, and improve our ability to identify and analyze mistakes, so as to continuously enrich and improve ourselves. Mistakes are the best teachers. It is suggested to prepare a wrong book to collect wrong questions and correct them seriously. Of course, it is more important to find out the cause of the mistake and summarize it in time. Three or five words, just one or two sentences, be concise.