This four-step exercise is based on the four-step mathematical problem-solving method of the great mathematician Paulia, and it also plays a great guiding role in solving mathematical problems for children.
Four steps to solve mathematical problems;
1, understand the problem thoroughly.
What unknown has been solved? Know what? What are the conditions? Are the conditions sufficient? If you can draw, you must draw, break down the conditions into parts, and repeat the questions in your own words.
2. The train of thought in the problem-solving stage.
Have you ever seen similar or related problems before? Can the methods used before be applied this time? Do you need to introduce auxiliary assumptions in different places? Are the conditions sufficient? Can you construct a simpler problem than now and solve the simple one first? If we fine-tune the known figures and conditions, or even change the unknowns, can we find clues to solve the problem?
3, the implementation of problem-solving thinking stage
Have you checked every step? Can you see that this step is right? Can you prove that this step is correct?
4. Review and summary stage
Did you check the results? Has the demonstration process been checked? Can you deduce this result in another way? Can this method be used to solve other problems?
Four-step exercise of self-discipline
1, clear the obstacles in the practice.
Obstacles will be encountered in the process of practice, and obstacles will exist in different forms. Many obstacles come from our own shortcomings, and it takes courage to face up to our own shortcomings. Thinking disorder will make us anxious, but not thinking will definitely make us more anxious. Avoidance is an opportunity to give up, change and grow.
2. Develop solutions for these obstacles.
When conceiving a plan in your mind, it is equivalent to practicing the plan in your mind first, and then practical problems such as time, environment and mood will emerge, prompting us to further improve the plan until every link is perfectly coordinated. Although it takes time to make plans, this step must not be omitted. The mistake that too many people make is that they concentrate on practice, but seldom spend time making plans. Planning precedes action.
3. Continue practicing according to the solution.
Once the plan is made, we should strictly abide by it and always remind ourselves of the connection between what needs to be done in these plans and our overall goal. In order to really implement the plan, it is necessary to establish a relatively clear measure to ensure the strict implementation of the plan, which can be achieved by sending a circle of friends or punching in the community.
4. Summarize the principle of better practice.
Every time you practice a plan, you should make a summary. In addition to refining the principles guiding future actions, it is more important to find a better solution for the next step by comparing the records.
The above four steps are gradual, and we will get some information after each step, which will also help to improve other steps and let us practice the self-discipline plan more smoothly.