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How to write a paper on advanced algebra?
There are two kinds of mathematics test papers, one is called pure mathematics test paper, and the other is called mathematics teaching test paper. It is difficult for many mathematics educators to have a lot of time to engage in pure mathematics research, and the title appointment system needs to publish papers publicly, so many people sum up their work experience and write some mathematics teaching and research papers. Mathematics teaching and research papers study curriculum theory, teaching methods, educational ideas, teaching materials and the psychology of educational objects. But no matter what kind of math paper, we must follow the paper format and writing rules.

1 Write a math paper with principles.

1. 1 innovation

As a style of publishing research results, it should reflect the new facts, new methods and new viewpoints provided by the author himself. The title of the paper is not novel and the experiment is worthless. Even with superb writing skills, it is impossible to write something new. Low-level repetition is the most taboo in basic research, such as subjects, therapeutic factors and observation indicators. The results are similar to those of predecessors, nothing new, and the paper is not worth publishing.

1.2 science

The life of scientific papers lies in their scientificity. No scientific paper is worthless, which may lead others astray and cause harmful results. Writing a thesis should have: (1) reflecting the truth of the facts; (2) the objectivity of the selected materials; (3) Rationality of analysis and judgment; (4) the accuracy of language expression.

1.3 standard

Standardization is an important feature of the paper's expression form. Scientific papers have formed a relatively fixed paper format, which generally consists of titles, generally no more than 20 words; Abstract (applied methods, obtained results, significance, etc.). ); Index keyword; Introduction; Research methods, discussions, results, etc. This standardized procedure is a summary of the experience of countless scientists. Its advantages are: (1) conforms to the cognitive law; (2) concise and lively, with less space to accommodate more information; (3) It is convenient for readers to read.

2. Taboos for writing mathematical papers

2. 1 big topic

The thesis is not a book. If the topic of the thesis is too big, it is inevitable to talk in general terms and discuss it briefly. The basic characteristics of mathematics education thesis are: it has mathematics content, talks about mathematics education problems, has the form of a thesis, is not greedy, is not empty, and has novel views. In this way, the author will choose a smaller topic and write out the characteristics.

2.2 Close the door to write a manuscript

Papers in academic journals are naturally independent and complete when read alone. As far as the whole system of magazines is concerned, there will be some connections, which will either constitute a small topic or deepen the discussion. In this way, the author should know something about the publication you are going to contribute, so as not to shoot at random. You can't fabricate facts out of thin air and exaggerate conclusions. First of all, you should know what others have done and written, and avoid duplication in your own paper. At the same time, we can learn from others' achievements and further study on the basis of others' research achievements to avoid doing useless work.

2.3 formal thinking confusion

With the development of science today, the basic format of scientific papers has become unified all over the world. The paper requires standardization and normalization. Some papers are patchwork and inconsistent, and it is difficult to teach people to understand. Therefore, writing a paper should abide by the basic laws of formal logic, and it is particularly important to correctly use logical reasoning methods.

3. About the topic selection of mathematics papers

Is the topic selection of mathematics paper "popular" or "unpopular"? There are many people engaged in the research on "hot" topics, which are developing rapidly. If the author's unit has a solid foundation and occupies a considerable position in this field, it is of course necessary to conduct in-depth research in this field or expand to related fields. If you have a poor foundation in this field and haven't found a new breakthrough since you started late, don't engage in low-level repetition behind others. It is a better choice to choose "unpopular", blank knowledge and interdisciplinary as research objectives. Whether you choose "unpopular" or "popular", you must follow the following principles:

(1) The necessary topic selection should proceed from the needs of social and scientific development.

(2) Innovative topic selection should be a problem that no one at home and abroad has studied or has not fully studied.

(3) Scientific topic selection should be based on the most basic scientific facts.

(4) The feasibility of selecting a topic should fully consider the subjective and objective conditions for engaging in research, and the research scheme is feasible.

4. About the writing style of mathematical papers

4. 1 language expression is accurate.

Words, sentences, paragraphs, chapters and punctuation should be correct.

4.2 Clear and concise language expression

The sentences are fluent, the context is clear, the writing is fluent, and the language is concise.

4.3 Simple language

Easy to understand language is the essence of scientific papers. There is no need to elaborate scientific problems with flowery words or exaggerated modifications. In short, writing a paper should be emotional, purposeful and purposeful. Learn from others' achievements, learn from others' strengths, put yourself into practice, refine new ideas, and express your true feelings in the paper. Don't simply repeat others' opinions, so that the paper can be published and accepted by readers.