First, the basic concepts of exercises
The review of mathematical concepts is not a simple repetition, but an organic connection between concepts, not rote memorization, but problem solving. For example, there are many concepts related to formulas in junior high school mathematics, such as algebra, algebra, monomial, polynomial, similar term, fraction, rational formula, simplest fraction, quadratic root, simplest quadratic root and so on.
The second is the systematization of knowledge structure.
The purpose of review is to consolidate and systematize knowledge, which can be carried out by enumerating knowledge or drawing a knowledge structure map. For example, the equation knowledge learned in junior high school is complex and widely distributed, which can guide students to sum up the main knowledge they have learned and form an "equation knowledge structure map".
Thirdly, model the example exercises.
"Everyone learns valuable mathematics and everyone can get the necessary mathematics" is the concept of mathematics education. Therefore, it is necessary to provide students with realistic, meaningful and challenging mathematics learning content, which is presented in the basic mode of "problem situation-modeling-explanation-application development". The reason why this model is adopted is to let students experience the process of abstracting mathematical models from the actual background, exploring quantitative relations and changing laws, guiding students to use their knowledge and skills to solve practical problems, enabling students to understand mathematics, develop problem-solving strategies, and experience the connection between mathematics and real life, thus cultivating students' practical ability and innovative spirit. "The purpose of mathematics education is to make students learn to use mathematics for our own use." "The most important gain of mathematics learning is to learn to build mathematical models to solve practical problems." In order to urge mathematics teachers to realize the change of mathematics education concept as soon as possible. Therefore, the design of examples in junior high school mathematics review teaching should especially strengthen the teaching of mathematical model methods to make up for the shortage of usual teaching. The teaching of mathematical modeling method is to construct a mathematical model according to practical problems, that is, to investigate the relationship between main factors and related quantities according to the specific relationship of practical problems (limited to the knowledge level and cognitive ability of junior middle school students, the "practical problems" here are not real practical problems, but practical problems that have been "preliminarily mathematized") and specific requirements, and to use relevant mathematical knowledge and mathematical language to describe this relationship on the basis of abstract generalization.
Fourth, scientific training methods.
Only by adopting scientific methods and organizing training purposefully and in a planned way can review get twice the result with half the effort. It is necessary to guide students to use textbooks and test scores, and correctly handle the relationship between memory, practice and test. At the same time, we should also infiltrate the local flavor and be close to life during training, guide students to care about local economic life and local economic development, and let students realize the practical value of mathematical knowledge in real life.
Fifth, give students time and space to review innovation.
Any knowledge comes from life, and mathematics knowledge is no exception. How to briefly show the process of human knowledge to students in mathematics review and let them feel the ins and outs of mathematics knowledge personally is the premise for students to firmly master knowledge. At the same time, students actively explore and think in the process of understanding mathematical knowledge, which is helpful to cultivate students' innovative spirit and ability. Students are future builders of 2 1 century. They need not only basic knowledge and skills, but also innovative spirit and ability.
1. Carefully design questions and give students the opportunity to innovate.
The problem is the core of thinking. Only by asking questions with certain depth can we stimulate students' positive thinking and cultivate their innovative ability. Therefore, the focus of teachers' preparation review class is to design effective questions and achieve an open mind. In the process of active exploration, students not only apply the basic knowledge they have learned, but also cultivate the ability to solve problems. More importantly, they got rid of the learning mode of relying on teachers for a long time, and the spirit of independent learning, active exploration and continuous innovation was fully cultivated, thus gradually forming the innovation ability.
2. Provide enough time to give students opportunities for innovation.
The innovation and invention of human society are generally not imagined by a scientist, and must be constantly practiced. Therefore, giving students time to innovate in the review process is the key to cultivate students' innovative ability.
3. Give students room for free activities.
Innovation takes time, and innovation needs more space. Whether it is a new class or a review class, students can only realize the true meaning of mathematics in the process of activities, gradually develop innovative habits and cultivate innovative consciousness and ability. Without space and students' activities, the cultivation of innovative ability will become rootless and passive water.
In a word, the task of review class is arduous, and there is still a lot of work to be done. More and better methods need to be explored and summarized in future review classes.