Mathematics is a science that studies the spatial form and quantitative relationship of the real world. The guidance of mathematics learning methods is a method that educators impart, summarize and diagnose learning methods to learners through certain educational channels, so that learners can master scientific learning methods and use them flexibly in their studies, and gradually form strong autonomous learning ability. Practice has proved that if "learning" is neglected, "teaching" will lose its pertinence. It is better to teach people to fish than to teach them to fish. Only by attaching importance to the guidance of students' learning methods and constantly stimulating students' learning motivation and interest can we improve students' quality in an all-round way and provide strong support for their sustainable development. The guidance of mathematics learning methods is a unified whole composed of non-intellectual factors, learning methods, learning habits and learning ability. After studying hard for a semester, how to sort out and review what you have learned at the end of the semester and get an ideal math score is a problem that everyone cares about.

First of all, list several problems that often appear in mathematics learning:

1, the understanding of knowledge points stays at the level of a little knowledge;

2. We can never master the key mathematical skills of solving problems, treat each problem in isolation, and lack the ability to draw inferences from others;

3. When solving a problem, there are too many small mistakes, and the problem can never be completely solved;

4. The problem-solving efficiency is low, and a certain number of problems cannot be completed within the specified time, which is not suitable for the examination rhythm;

5. I haven't formed the habit of summarizing and summarizing, and I can't habitually summarize the knowledge points I have learned;

How to solve it?

First, pay attention to guide students to learn to review and consolidate and improve their knowledge transfer ability 1,

Students are often eager to finish their written homework after class, while ignoring the necessary consolidation, memory and review. Therefore, the phenomenon of imitating routine problems and solving problems with formulas appeared, which caused homework to be handed in for the sake of handing in homework, which could not play its due role in consolidating and deepening the understanding of knowledge. Therefore, students are required to read the textbook first every day, review the knowledge and methods taught in class, and memorize formulas and theorems in combination with the key points and difficulties of notes. Then finish the homework independently and solve the problem.

Rethink. In homework writing, we should also pay attention to the guidance of "writing" and ask students to write in a standardized and clear format. Especially for junior students, it is very difficult to do this. Students (1) should be taught how to convert written language into symbolic language.

(2) How to express the process of reasoning and thinking in words; (3) Draw correctly according to the conditions. The exemplary role of teachers here is extremely important. At first, we can intentionally imitate and train students, and gradually students can develop good writing habits, which is very important for future study and work.

2. Carefully explore concepts and formulas. Many students pay insufficient attention to concepts and formulas. This problem is reflected in three aspects: first, the understanding of concepts only stays on the surface of words, and the special situation of concepts is not paid enough attention.

3. Summarize similar topics. This work is not only for teachers, but also for our classmates. When you can summarize the topics, classify the topics you have done, know which types of questions you can do, master the common methods of solving problems, and which types of questions you can't do, you will really master the tricks of this subject and truly "let it change, I will never move." Some students do problems every day, but their grades fall instead of rising. The reason is that they do repetitive work every day, and many similar problems are repeated, but they can't concentrate on solving the problems that need to be solved. Over time, the problems that can't be solved have not been solved, and the problems that can be solved have also been messed up because of the lack of overall grasp of mathematics. "Summary" means that there are many topics.

The best way to do more with less.

4. Collect your typical mistakes and solve the problems you can't solve.

The most difficult thing for students is their own mistakes and difficulties. But this is precisely the problem that needs to be solved most. There are two important purposes for students to do problems: First, to practice the knowledge and skills they have learned in practical problems. The other is to find out your own shortcomings and make up for them. This deficiency also includes two aspects, mistakes that are easy to make and contents that are completely unknown. However, the reality is that students only pursue the number of questions and deal with their homework hastily, rather than solving problems, let alone collecting mistakes. We suggest that you collect your typical mistakes and problems that you can't do, because once you do, you will find that you thought you had many small problems before, but now you find this one is recurring; You thought you didn't understand many problems before, but now you find that these key points have not been solved. Doing problems is like digging gold mines. Every wrong question is a gold mine. Only by digging and refining can we gain something.

5. Ask and discuss questions you don't understand.

Find problems you don't understand and actively ask others for advice. This is a very common truth. But this is what many students can't do. There may be two reasons: first, insufficient attention has been paid to this issue; Second, I'm sorry, I'm afraid of asking teachers to be trained and asking students to be looked down upon by them. With this mentality, you can't learn anything well. "Building a car behind closed doors" will only make your problems more and more. Knowledge itself is coherent, the previous knowledge is unclear, and it will be more difficult to understand later. When these problems accumulate to a certain extent, you will gradually lose interest in the subject. Until I can't keep up.

Discussion is a very good learning method. A difficult topic, after discussion with classmates, may get good inspiration and learn good methods and skills from each other. It should be noted that it is best to discuss with your classmates at the same level, and everyone can learn from each other. "Diligence" is the foundation and "thirst for knowledge" is the key.

6. Pay attention to the cultivation of actual combat (examination) experience.

Doing homework at ordinary times can limit time and gradually improve efficiency. In addition, in the actual exam, we should also consider the completion time of each part to avoid unnecessary panic.

Second, when reviewing, let students know the role of final review.

1. Systematize and organize knowledge to form a knowledge network.

2. Check and fill the gaps in the learned knowledge points, overcome the shortcomings and avoid mistakes.

3. Review systematically and master various concepts, properties, methods and their relationships.

4, through the training of typical problems, improve their mathematical knowledge and ability to solve practical problems.

Third, the overall construction, grasp the key points

When reviewing, students tend to rely on teachers, who are used to reviewing and summarizing. It is necessary to train students to learn the method of summing up by themselves. The methods and approaches of review and summary can be given in specific guidance. First of all, read books, take notes and exercise. Through reading, recalling and familiarizing with what you have learned, you can construct the whole book and the relevant knowledge points of each unit as a whole, mark the key points and difficulties, list the relationships between knowledge points, and draw a knowledge tree or a knowledge carding framework. On the basis of past experience, actively construct, reorganize, transform, change and connect the previously learned knowledge.

Any large-scale math exam should not only pay attention to the coverage of knowledge points, but also pay attention to key knowledge. For example, the nature and judgment of parallel lines in seventh grade mathematics, the relationship between three sides and triangles, the relationship between external angles and internal angles, the solution and application of binary linear equations, the solution and application of unary linear inequalities (groups), and squares.

Roots and cubic roots; The meaning and operation of fractions, the images, properties and practical applications of fractional equations and inverse proportional functions, the application of Pythagorean theorem and inverse theorem, the application of parallelograms, special parallelograms and trapeziums, and the data fluctuation in eighth grade mathematics are all compulsory. So students should master this part skillfully. Solve some exercises of various grades and types purposefully, emphatically and selectively, and the topics must be precise. Find and solve problems by solving problems and then giving feedback. Finally, summarize all kinds of questions and problem-solving methods that reflect the knowledge learned, and improve students' knowledge transfer ability.

Fourth, lay a solid foundation and eliminate blind spots.

In the process of review, students should not only focus on reviewing key knowledge, but also pay enough attention to those non-key knowledge that is not commonly used. Taking seventh grade mathematics as an example, some students tend to ignore the edge knowledge points such as translation, mosaic and classification of real numbers. When reviewing, we should first understand these knowledge points. For example, translation is to move a complete figure to a certain distance in a certain direction. Secondly, we should understand typical cases. For another example, the condition of polygon mosaic is that the sum of all angles of the same point is exactly equal to 3600 (1). (2) Adjacent polygons have common edges.

Example: ① Can some triangles (or quadrangles) with the same shape and size cover the plane? The conclusion is affirmative. (2) Using one or two of regular triangle, regular quadrilateral, regular pentagon and regular hexagon, planes (regular triangle, regular quadrilateral and regular hexagon) can be inlaid.

Fifth, pay attention to skills and break through difficulties.

In a large-scale mathematics examination, the examination questions should not only face all students, but also help to improve the discrimination of the examination. Therefore, difficult problems are essential. The so-called problem can be a word application problem that is not easy to understand, or a comprehensive problem of geometry and algebra. If you want to break through the difficulties, you should pay attention to the difficulties in the teaching materials and understand them thoroughly. Give some books to some students If you give each student three books, the remaining eight books. If each student in front gets 5 copies, then the last student gets less than 3 copies. How many books are there? How many students are there?

Solution: Suppose there are X students.

Then: 3x+8-5(x- 1)≥0

3x+8-5(x- 1)& lt； three

In this question, "so the last person can't get three books" can easily be misunderstood as getting one or two books. Here, I want to remind the students that this also includes the situation of not getting one. When reviewing, we must pay attention to such problems in the textbook.

The most important point to break through the difficult problem is to strengthen the cultivation of the ability to analyze (examine questions) and understand (the relationship between known quantities and unknown quantities).

In the final analysis, knowledge is learned by students, not taught by teachers. The knowledge taught by teachers is limited. Let students master the correct method of learning mathematics, build up self-confidence, win the competition, form good study habits and form good thinking quality. Students will actively participate in learning, be good at finding problems, and be good at cooperating and communicating with others. I believe they will get excellent results in the final math exam.