Current location - Training Enrollment Network - Mathematics courses - How do I read an article about mathematics?
How do I read an article about mathematics?
Many people tell us to study, but some people are still at a loss about how to get out of the predicament of reading only by studying deeply and how to complete the learning process from reading to absorption to output after reading.

Give an example to illustrate my reading.

At noon today, I read an article "From Practice Class to Thinking Training Class" in Mathematics for Primary and Secondary Schools 2065 438+065438+ 10 (last issue), and I started reading it like this.

First of all, I confirmed that this article is what I want to read and is worth reading. Because in the training school where I teach, many teaching contents are based on the teaching in the school. If they are not handled well, they will easily become simple and rude practical courses and train students into problem-solving machines, but their thinking ability has not been effectively improved and qualitatively changed in practice. Therefore, this content is what I must see. I need to find out what others think and do on this issue, and then think about how I can do it better.

In other words, in the face of voluminous books or various fragmented articles, we need to choose the objects suitable for our reading and the contents suitable for our learning. This requires critical thinking and a certain ability to choose. Then the question is, what is the content or reading object that suits you?

I think this is not difficult to judge. Carefully analyze your own shortcomings and need to be supplemented and improved. These deficiencies cannot be compensated by conscious or spontaneous understanding, so these directions and fields are suitable for our reading scope. For example, I lack the theory of mathematical system and psychology, so I am studying educational theory and psychology seriously.

In addition, because the students of the training school come from different schools, the teaching target is complex, usually once a week, and the density is low. My teaching content is sometimes the advanced learning of new knowledge, sometimes the upgrading and expansion of old knowledge, and the systematic combing of existing content. Then, in the face of such a complicated learning situation, what is the learning psychology of students? How can I identify the changes in students' learning psychology, how to give targeted teaching content, and how to grasp the degree of teaching? These are all problems that I need to solve through study.

Ok, let's go back to this article I read. This is a case article in a math class. This kind of article is easy for every math teacher to write, but it is not easy to write in depth. It can have a pair of discerning eyes to discover the ordinary and profound. It requires teachers to maintain educational sensitivity, profound educational understanding and classroom values in daily classroom teaching.

I first analyze its framework, draw the author's arguments with a pen, and sometimes I write them in the blank space in front of the article to see how the author lists his own views and arranges them reasonably. Views are the author's arguments. What is the relationship between the general argument and the sub-argument? Causality? Tied? Progress? Turning point? Or something. This analysis can show how the author seeks the layout of the article and how to clearly express his views in a certain logical order. If you insist on analyzing the reading content for a long time, you can cultivate your overall view, improve your overall understanding and perception of things, avoid seeing the forest for the trees, and improve your ability to summarize and refine ideas. You can also avoid being brainwashed by others without knowing it.

As far as this article is concerned, it is a typical case article. The writing of case articles is usually divided into several sections, and the theme of each section is equivalent to an argument. The logical relationship between the sections is in chronological order, in the order of research progress, in the order of content emphasis, and so on.

This article has three sections, which are "research, starting from the origin", "change, you can ask questions" and "review, there are always new gains". It is based on the development order of things and the progress of classroom activities, and summarizes the starting point of the program and design of this class.

Make clear the viewpoint and context of the full text, and then enter the reading of the main part. This part has three paragraphs. The first paragraph focuses on teaching theory, and the second and third paragraphs combine theory to write thoughts on the content of this lesson.

When reading, I have a red pen at hand. I use a red pen because the type is black, which is easy to distinguish. In order to outline the key content and the sentences I am interested in. Sometimes I write eyebrows. Usually I sketch sentences that reflect the author's own analysis of the content. If I don't think of the author's ideas or his analysis is incisive, I will mark "……" or "~ ~" below to deepen my impression. If I have never thought of or used individual words, I will copy them aside to deepen my impression. The advantage of this is that when I read this article again, I only need to read the comments, and I will have a general review of the outline of the article so as not to forget it too quickly.

Many case articles are written in the form of classroom records, and the content of the articles will present the classroom language of teachers and students, which can reproduce the classroom teaching process very truly. Every link of teaching is like a movie clip, which is reproduced by words and makes people feel immersive when reading.

After writing every teaching link, the author's "design intention" is the focus of my reading. It is the author's thinking about teaching, and his views on curriculum, teaching and understanding of teaching can be presented here. Usually, I will read it several times, compare the author's point of view with my own view on this link, and see what the author has elaborated, which I don't think is profound.

After reading the text, I usually go back and read the wonderful places in the article again or even several times. This time, my focus is to study it and analyze its writing level, structure and wording. From the perspective of literary language, pay attention to the language of the article, choose words and make sentences and paragraphs.

I will study the paragraph at the end of the article very carefully. Because there are many writing skills in the last paragraph. Is it the finishing touch or the phoenix tail? Is it overwhelming after reading it? Or is it covered by clouds? This paragraph usually shows the writer's basic skills and theoretical accomplishment. Mathematical articles should not only be well-founded, informative, testable, fully demonstrated and rigorous in reasoning, but also have language charm and strong readability. A writer should not only have a solid rational thinking ability, but also have a deep language foundation.

So, I read an article. In this way, when you read other books, you will realize many tips for writing articles and giving good lessons.