Mathematics is a highly systematic and closely related subject. As far as teaching materials are concerned, the previous content is often the necessary basis for later learning. If you don't learn well in the front, it will definitely affect the learning of knowledge in the back. Therefore, learning mathematics must follow the principle of starting from the foundation, step by step and gradually expanding.

Second, the method of learning mathematics

When learning mathematics, you must think more and practice more, and use your hands and brains. Common methods are

1, summarized in time to make knowledge networked.

Mathematics is rich in content. At every stage of learning, we should summarize and sort out the knowledge and methods we have learned in time, make clear the backbone of knowledge and its connection with related knowledge, and make it form a clear network, so as to understand the application of memory.

2. Transfer deduction method

Mathematics is full of reasoning and calculus from beginning to end. When learning mathematics, we must pay attention to reasoning. "It's better to wear it with your hands than with your eyes for a thousand times." The teacher has deduced reasoning and calculus from books, so he should do it himself. This is conducive to digesting and absorbing knowledge, and at the same time, we should think about whether we can draw any new conclusions from the existing deduction process and results and whether we can adopt other deduction methods.

3. Chart method

The advantage of charts is that they are intuitive and helpful for thinking and memory. When studying mathematics, we should use charts as much as possible. When solving problems, people who are related to graphics or may use graphics should draw graphics or images in order to get inspiration from them. When summarizing and sorting out knowledge, try to systematize knowledge in the form of tables so as to understand the application of memory.

4. Contrast method

In order to avoid confusion and mistakes, comparative research is often used to compare related knowledge. Positive and negative contrast, positive and negative contrast, right and wrong contrast, extended contrast, and understanding the connections and differences between knowledge are helpful for correct application.

Third, to deal with the relationship between learning mathematics

1, the relationship between difficult and easy

Don't underestimate the easy-to-learn content, and don't be careless about the easy-to-do questions. Analyze difficult problems, don't rush for success and don't give up easily. We should have perseverance.

2. The relationship between conclusion and process

When studying mathematics, don't emphasize the conclusion and ignore the process. It is necessary to remember mathematical conclusions, but the process of drawing these conclusions can not be ignored in particular. Because many deduction processes permeate and imply common mathematical thinking methods, it is very meaningful to understand and master the thinking methods of studying mathematical problems for analyzing and solving practical problems with mathematical tools. For example, logical thinking methods in mathematics (classification and analogy, induction and deduction, analysis and synthesis, proof and rebuttal); The illogical thinking methods in mathematics (imagination and association, intuition and inspiration). The basic forms of transformation in mathematics (special and general, whole and part, concrete and abstract, number and shape, high and low, positive and negative, known and unknown, infinite and finite).

3, the relationship between quality and quantity

The transformation from mathematical knowledge to ability must go through systematic and strict training. Learning mathematics is inseparable from practice. Mathematics exercises should pay equal attention to quantity and quality. Stress quality, that is, not only the answers should be accurate and standardized, but also the process should be as concise and reasonable as possible, and the habit of testing should be formed. In addition, the representative questions should be reviewed and summarized after sorting out, so as to find out the law of answering such questions and do some flexible and developmental thinking, so as to improve their mathematical ability.

Fourth, the problems that should be paid attention to in learning mathematics

1, Several Direct Motives of Mathematical Development

Mathematical problems, mathematical concepts, mathematical symbols and mathematical aesthetics are the direct reasons for the development of mathematics. Now, computers bring new challenges to mathematics.

2. Modern development trend of mathematical methods.

The abstract method of mathematics presents new characteristics, the comprehensive method is more and more powerful, the unconventional method will dominate, and the infiltration method will make mathematics become attached everywhere; A variety of opposing mathematical theories develop independently and coexist, and the role of computers in promoting mathematics is immeasurable.