It is extremely important to review the old knowledge of last year. According to the arrangement of teaching materials after the new curriculum reform, taking the People's Education Press as an example, the seventh grade mathematics includes most basic calculations of junior high school mathematics, such as rational number operation, algebraic operation, solving linear equations of one variable and linear equations of two variables, solving linear inequalities and so on. The mastery of these operations directly determines the students' operation level, which will have a great impact on their future mathematics learning. Therefore, for the students who are about to enter the eighth grade, eighth grade mathematics occupies the most important position in the whole junior middle school mathematics, and most of the key contents required by the new curriculum standard should be taught in the eighth grade, such as unary function, triangle congruence, fractional operation, Pythagorean theorem, isosceles triangle, quadrilateral and the main part of data statistics. For students who are about to enter the ninth grade, it is very important to firmly grasp the knowledge of the eighth grade and use it flexibly.
In the process of reviewing old knowledge, whether attending cram school or tutoring, students should strive for the maximum independent learning space. What they can solve through their own efforts does not depend on teachers, so as to really improve their mathematics learning ability. In the actual school teaching, many students are often in a passive state of learning knowledge, and there are few opportunities for active thinking and independent thinking, which is also the fundamental reason for students' low learning ability and poor grades.
Second, regarding the specific learning process, it should include three steps. First, review the textbook. In the process of reading through the textbook, firstly, the definitions, theorems, formulas and rules are arranged into a clear structural diagram by chapter, and then they are understood and memorized, which can lay a higher and more solid theoretical foundation for later learning. The next step is to review the examples and exercises in the textbook, conduct secondary training, reflection and experience on key, difficult and error-prone knowledge points, and summarize the general rules of theoretical knowledge testing and application in the textbook, which will not only help to understand the learning requirements of the new curriculum, accumulate learning experience, but more importantly, gain thinking methods for learning mathematics and improve learning ability.
The second step is to review personal study materials. Personal learning materials mainly include homework, exercise books, chapter review self-test questions and test papers. To systematically retrain these materials by chapter, we should highlight the key points, break through the difficulties, reflect, taste and retrain the weak knowledge points that we found difficult to learn or made mistakes at that time, and learn from them.
In the review process, these learning materials are compared before and after, and typical and representative exercises are analyzed, compared, summarized and summarized. What knowledge points are used and how these knowledge points are used are integrated into a clear context with knowledge points as the main line, from small to large. At this point, learners' understanding of this part of knowledge has reached a very high level.
The third step is to select the review materials for intensive promotion training. Because students' learning levels are different, the review materials they choose must be suitable for them, whether they grasp the important and difficult points accurately, whether the exercises are typical and representative, whether they can help them strengthen the weak knowledge points, and whether the analysis in the answers can promote their understanding. After selecting the review materials, we should pay attention to the selection of targeted training content when using them, and do not covet the training of big topics, but summarize them in time. For students with a good foundation in mathematics, it is very necessary to select more review materials, select some typical comprehensive questions for intensive training, and understand and understand the laws and ideas contained in them. In this learning process, students are prone to encounter difficulties. If it is really difficult for them to solve it by themselves, ask some experienced teachers.