"What to write? How to write? " This is a problem that every student who learns to write small papers will encounter. The production of a good paper is a creative work for its author. Creative labor needs a large number of workers. The material, level and inspiration of his creation are by no means easy to get. They need the author to accumulate and think for a long time in his own study and life practice. Judging from the papers collected in our school, some authors usually pay great attention to summarizing and expanding the knowledge of textbooks, and have many unexpected gains in their study; Some are inspired by extracurricular reading and can choose topics; ..... What's more, some authors pay attention to observation and exploration when they find problems in their lives, and link them with their own mathematics learning, and think, summarize and summarize the results of observation and exploration, sublimate them into theories and write amazing good papers. Most of the small authors who read the award-winning papers are concerned about mathematics learning. The author of a good paper should not only have good mathematical knowledge, but also have good literary literacy and comprehensive literacy.

(1) What to write?

The key to writing a small paper is to choose a topic first. Students are all students of Grade One and Grade Two, and are limited by age, knowledge and life experience. Therefore, everyone should start with what they are most familiar with and want to write.

Below I combine the topics of some award-winning papers of my classmates to make a simple analysis of the topics.

Papers are classified by content, and there are probably the following:

① Be diligent in practice, apply what you have learned, establish a mathematical model for practical problems, and then use the model to analyze and predict the problems;

Probe into thermal expansion and cold contraction of bridges

(2) Put forward clever mathematical methods to solve common and annoying little things in life;

For example:

An unexpected benefit created by drinking fountains.

(3) Study the mathematical problem itself, explore the law, and get the general method to solve the problem.

For example:

A Study on Kinship in Fractional Families

For example:

Mathematics in paper airplane

④ Experience and reflection on a chapter or content of one's own mathematics study.

For example:

"unconditional" reasoning

For example:

On "Golden Section"

For example:

Wonderful regular five-pointed star

(2) How to write

(1) The topic should be small, focused and targeted;

② Views should be true, unique, emotional and innovative;

3 express what you want to express in your own language.

(4) Evaluation criteria of mathematical papers.

What kind of math paper is a good one? There are many standards, but I think a good math paper must have the following three characteristics-novelty, truth and beauty. "New" means that the topic should have a unique perspective, and the content written is not simply repeating other people's things or simply downloading a paragraph. Words, it is best to be original, at least to have their own creation, their own views, their own ideas; "Truth" means that the content should be true and reasonable, not empty and tasteless, nor lengthy. The article should stick to the theme, strive to be accurate and concise, and embody the rigor and scientificity of mathematics as much as possible; "Beauty" refers to the fluency of language and writing, and articles should give people the enjoyment of beauty. Of course, judging from the name of the second Mathematics Learning "Star of the Times" Practice and Innovation Thesis Competition, papers with both practice and innovation are definitely more likely to win the favor of the judges. Therefore, I hope that students will be closer to life, pay attention to observation, discovery and discovery, connect life with mathematics, and take writing papers and trying to write them well as evaluation, supplement and innovation for their mathematics learning.

"Plum blossoms come from bitter cold". As long as you are willing to make great efforts, as long as you are willing to endure hardships, keep thinking, guessing and learning, good math papers will be born in your hands. In a word, learning to write papers and trying to write good papers will always be an excellent way for each of our students to exercise themselves and improve their abilities. I believe that the students of Grade One and Grade Two in our school will actively participate in the activities and exchanges of the second "Time Mathematics Learning" and "Time Star" practical innovation thesis competition under the organization and guidance of teachers, and get good results. I wish more and better math papers will be born in the hands of students in the future. I hope that more students will take off from learning to write math papers in the future and write more high-level and high-quality papers.

Example: An easily overlooked answer

The world is full of wonders, and there are many interesting things in our mathematics kingdom. For example, in my ninth exercise book, there is a thinking question that reads: "A bus goes from Dongcheng to Xicheng at a speed of 45 kilometers per hour and stops after 2.5 hours. At this time, it is just 18 km away from the center of the east and west cities. How many kilometers is it between East and West? When Wang Xing and Xiaoying solve the above problems, their calculation methods and results are different. Wang Xing's mileage is less than Xiao Ying's, but xu teacher said that both of them were right. Why is this? Have you figured it out? You can also calculate the calculation results of both of them. " In fact, we can quickly work out a method for this problem, which is: 45× 2.5 = 1 12.5 (km),112.5+18 =130.5 (. In fact, we have neglected a very important condition here, that is, the word "Li" mentioned in the condition is "just 18 km from the center of the east and west cities", and it does not say whether it has not yet reached the midpoint or exceeded the midpoint. If the distance from the midpoint is less than 18km, the formula is the previous one; If it is greater than 18km, the formula should be 45× 2.5 = 1 12.5 (km), 1 12.5-65448. Therefore, the correct answer should be: 45 × 2.5 = 1 12.5 (km),12.5+18 =130.5 (km),/kloc-. Two answers, that is to say, Wang Xing's answer and Xiaoying's answer are comprehensive.

In daily study, there are often many math problems with multiple solutions, which are easily overlooked in practice or examination. This requires us to carefully examine the problem, awaken our own life experience, scrutinize it carefully, and fully and correctly understand the meaning of the problem. Otherwise, it is easy to ignore other answers and make a mistake of generalizing.