Solution:
First, do a good job in the connection between primary school and junior high school
① Attach importance to the connection of mathematics content in primary and secondary schools. Restricted by age characteristics and cognitive laws, the mathematical content that primary school students are exposed to is intuitive and simple, while the mathematical content in junior high school is more abstract and complicated than that in primary school. At the same time, primary school mathematics is the foundation of junior high school mathematics, and some contents are special cases of junior high school mathematics; Junior high school mathematics is the expansion and extension of primary school mathematics, and most of its contents are brand-new. Therefore, in order to realize the effective connection between primary school and junior high school mathematics education, we should first pay attention to the connection in content. For example, in middle school mathematics learning, we should try our best to understand the necessity of reasoning. For example, in primary school, students already know that the sum of the internal angles of a triangle is 180 degrees by measuring, cutting and spelling. When teaching this part in junior high school, we mainly render the fact that the inner angle of a triangle, regardless of its shape or size, is 180 degrees. Why? And ask the students the following questions: in primary school, we measured the internal angles of some triangles and found that the sum of the internal angles was 180 degrees, but we could not test all triangles one by one. Is there any way for us to confirm that the sum of the internal angles of all triangles (including those we have not tested) is 180 degrees? By thinking about these two questions, I realized the necessity of argumentation.
② Pay attention to the connection of mathematical thinking methods. As an educational task, mathematics should be the unity of "two basics" (basic knowledge and skills) and basic mathematical thinking methods, which are intertwined and constitute the rich connotation of mathematics. Primary and secondary schools have different requirements for mathematical thinking methods. In primary school, infiltration is the main method. This requirement is compatible with the characteristics of primary school mathematics content and the level of primary school students' thinking exhibition. There are more specific requirements in middle school, such as the idea of function and the idea of sample estimation. Therefore, how to infiltrate the basic mathematical thinking methods has become an important content to realize the effective connection of mathematics education in primary and secondary schools. Taking the teaching of trapezoid area as an example, we usually put two identical trapezoids into a parallelogram, that is, the calculation of trapezoid area is converted into parallelogram area to deal with it. Of course, this practice also reflects the change of ideas, but if we start from the change of ideas, that is, when we face a new problem, we analyze our existing knowledge base and find ways to change it, that is, change the application of ideas. When faced with the problem of finding trapezoidal area, the existing knowledge base is rectangle, square, parallelogram and triangle area, and the calculation method is already known. Therefore, we try to consider whether the trapezoid can be transformed into the above figure to calculate the area. With the above thinking, the following changes will follow.
Second, cultivate good study methods and habits.
① Pay attention to preview and guide self-study. Preview is the beginning of students' self-study, which is often ignored in primary school. Therefore, in junior high school, most students will not preview, and even if they preview, they will only skim the contents of the textbook. You can start with some simple questions that can imitate formulas. After we have a certain preview habit and preview ability, we can arrange some topics of mathematical concepts and laws. Then, students can preview consciously without arranging a preview outline, and ask difficult questions on their own initiative to lay the foundation for learning new lessons.
② Listen attentively and be willing to think. While paying attention to students' listening attentively, we attach importance to teaching students to think. Cultivate the habit of listening to lectures, reading books and thinking at the same time, so that students' various senses can participate in the activities. No matter before, during or after class, we should study the textbooks carefully and ask why, so as to deepen our understanding of definitions, theorems and laws.
③ Standardize homework and strengthen training. As far as written exercises are concerned, primary school students tend to focus on results rather than process. After entering junior high school, although the sense of independence is increasing day by day, it is not mature, which is highlighted by some students' inability to think independently in their homework, irregular problem-solving format and chaotic steps. To this end, we must strengthen the following two points: first, we must set an example, that is, teachers should be good at solving problems for students; Second, we should be strict, understand the importance of standardized operation ideologically, correct those irregular phenomena in time, and form a good habit of consciously correcting them.
(4) Summarize in time, review the past and learn new things. The process of learning can generally be divided into three stages: learning, maintenance and reproduction, of which maintenance and reproduction are the more important stages. How to consolidate and apply what you have learned? First, review and summarize, reproduce the knowledge learned on the same day or in this unit in time, cultivate the methods of association, reproduction and memory, and resist forgetting; The second is to cultivate the ability to collect and review accumulated data, such as collecting the technical and error-prone questions in daily homework and unit test in time for reference in review, so as to improve the problem-solving ability and consolidate the knowledge learned.
Third, the whole mentality, calm face, confident communication.
Have a good attitude, remember that being a little behind others in junior high school does not mean that you are poor in ability. Learn to compare yourself with yourself, ask yourself to improve every day, improve one or two places in each exam, get closer to your goals step by step, don't compare yourself with others often, and don't be affected by the ups and downs of others' rankings. Be sure to affirm your efforts and do yourself well, and you will always get something. In addition, don't concentrate on your studies, pay more attention to exercise and make more friends to chat, which is also very beneficial to the adjustment of your mentality.