I think we should write some "small papers" and think deeply about it. Of course, this kind of thinking is based on the guidance of methods and strategies, not beyond the bubble.
For example, this time several students wrote "How to get out?" This content, but the answer given lacks the rigorous process, such as the selection of experimental materials and cylinders with different weights and sizes, which can increase the credibility of the experimental results. In the determination of experimental scheme, we can choose slopes with different angles, do corresponding experiments on each slope, and list the results of each experiment in a table, so that the answer has certain credibility.
For example, "What angles can be drawn with a set of triangles" has been written by many students, but what angles can be drawn with a single triangle is often written? What angles can be drawn with the sum of two triangles? But then there is a lack of some in-depth research. For example, can you arrange these corners in order of size? Look at the difference between two adjacent corners. Or are these angles multiples of which angle? If there is an angle in the middle that has not been found just now (for example, 15 degrees), can this angle be drawn with a set of triangles? How to draw? Can you provide different drawing schemes?
Below, give two more examples to analyze:
The success of a semester
I come from Guizhou. Do you know why I want to study here? This is the sustenance and hope of my parents. I hope that I can become a useful person under good educational conditions and don't follow their old path. To this end, they scrimped and saved money to pay for my tuition and living expenses. Although my parents don't live with me, I know their hardships. So I put all my energy into my study, determined to study hard and work hard for my goal. Sometimes I envy other children with parents' pain, and I feel homesick and want to cry ... but I think I am also happy. Don't I have the love of my sister and so many teachers? I think that's enough. I don't know why I will go back to Guizhou in just one semester. Although the time is short, I will cherish every minute under the care of my teacher and improve my ability in all aspects. The success of a semester has pushed me on the right track and towards success. Time is short, I miss the classroom, teachers and everything here.
It should be said that this is a child's true inner experience, but it is definitely not a "math" composition. It is difficult for us to see a little taste of mathematics from the text. The biggest difference between the composition of a math paper and that of a student lies in its "math taste". Without this, it is naturally impossible to call it a "mathematical thesis".
How many days does it take Fu Xiao to go home?
There is a frog named Fu Xiao. One day, he played with another frog from morning till night. Another frog said, "It's getting late. I’m going home. You should go home, too! " "Fu Xiao said," I see, I'll go home at once. " Although Fuxiao agreed, he thought to himself, "I have to go home anyway, so I might as well play for a while!" "Hit and hit. I don't know how long it took. The moon rose slowly into the air, and Fu Xiao was tired of playing. He is ready to go home, but it is already dark, and Xiaohei can't see the way home. He found a little white in front. When he got closer, it turned out to be a dry well. Fu Xiao lay by the well and fell asleep slowly.
In the morning, when Fu Xiao was getting ready to get up, a bird chirped, which startled Fu Xiao. It accidentally fell into a dry well. There was no one else around the dry well, so Fu Xiao had to climb to the wellhead slowly. This dry well is12m. Fu Xiao climbed three meters during the day and fell two meters at night. Guess how many days it will take Fu Xiao to climb up?
Perhaps this little author added a lot of foreshadowing in front to show his interest. From the whole article, the content of bedding accounts for more than half, and the following is just a question, without a simple analysis. How can it be regarded as a "paper"?
Calm down and think skillfully, and turn hard into easy.
Some math problems seem difficult, but as long as we think carefully and design skillfully, these problems will become very easy.